CSE_E---1.7.THM-CRf.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : MGT070+1 : TPTP v9.3.0. Released v9.3.0.
% 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 : n001.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 0.52s 1.61s
% Output   : CNFRefutation 1.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 112)

% Comments : 
%------------------------------------------------------------------------------
fof(unknown_sound_compatible,conjecture,
    ? [X10] :
      ( leq(ninf,X10)
      & leq(X10,nsup)
      & completion_compatible(X10,ninf,nsup) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown_sound_compatible) ).

fof(irreflexive,axiom,
    ! [X1] : ~ less(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',irreflexive) ).

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/sandbox2/benchmark/Axioms/MGT002+2.ax',axis_subsumes_def) ).

fof(monotone_conflict,axiom,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ( axis_subsumes(X16,X17,X18,X19)
        & axis_conflict(X18,X19,X20,X21) )
     => axis_conflict(X16,X17,X20,X21) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+4.ax',monotone_conflict) ).

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/sandbox2/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/sandbox2/benchmark/Axioms/MGT002+2.ax',axis_conflict_def) ).

fof(redundancy,axiom,
    ! [X16,X17,X20,X21] :
      ( axis_subsumes(X16,X17,X20,X21)
     => ! [X1] :
          ( in_closed(X1,X16,X17)
         => in_closed(X1,X20,X21) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+4.ax',redundancy) ).

fof(completion_conflict,axiom,
    ! [X15,X10,X13,X14] :
      ( ( leq(X13,X15)
        & leq(X15,X14)
        & leq(X13,X10)
        & leq(X10,X14)
        & less(X15,X10) )
     => completion_conflict(X15,X10,X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+4.ax',completion_conflict) ).

fof(sharpness_conflict,axiom,
    ! [X15,X10,X13,X14] :
      ( ( leq(X13,X15)
        & leq(X15,X14)
        & less(X15,X10)
        & leq(X10,X14) )
     => completion_conflict(X15,X10,X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+4.ax',sharpness_conflict) ).

fof(sharpness_compat,axiom,
    ! [X15,X10,X13,X14] :
      ( ( leq(X13,X15)
        & leq(X15,X14)
        & less(X15,X10)
        & leq(X10,X14) )
     => completion_compatible(X15,X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+4.ax',sharpness_compat) ).

fof(in_ropen,axiom,
    ! [X1,X4,X5] :
      ( in_ropen(X1,X4,X5)
    <=> ( leq(X4,X1)
        & less(X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_ropen) ).

fof(in_lopen,axiom,
    ! [X1,X4,X5] :
      ( in_lopen(X1,X4,X5)
    <=> ( less(X4,X1)
        & leq(X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_lopen) ).

fof(in_closed,axiom,
    ! [X1,X4,X5] :
      ( in_closed(X1,X4,X5)
    <=> ( leq(X4,X1)
        & leq(X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_closed) ).

fof(in_open,axiom,
    ! [X1,X4,X5] :
      ( in_open(X1,X4,X5)
    <=> ( less(X4,X1)
        & less(X1,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',in_open) ).

fof(completion_compat,axiom,
    ! [X10,X13,X14] :
      ( ( leq(X13,X10)
        & leq(X10,X14) )
     => completion_compatible(X10,X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+4.ax',completion_compat) ).

fof(dense,axiom,
    ! [X1,X2] :
      ( less(X1,X2)
     => ? [X3] :
          ( less(X1,X3)
          & less(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+1.ax',dense) ).

fof(leq_trans,axiom,
    ! [X1,X2,X3] :
      ( ( leq(X1,X2)
        & leq(X2,X3) )
     => leq(X1,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_antisym) ).

fof(leq_def,axiom,
    ! [X1,X2] :
      ( leq(X1,X2)
    <=> ( less(X1,X2)
        | X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',leq_def) ).

fof(less_implies_leq,axiom,
    ! [X1,X2] :
      ( less(X1,X2)
     => leq(X1,X2) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MGT002+2.ax',box_conflict) ).

fof(trichotomy,axiom,
    ! [X1,X2] :
      ( less(X1,X2)
      | X1 = X2
      | less(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+0.ax',trichotomy) ).

fof(h_inf_lb,hypothesis,
    ! [X1] : leq(ninf,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_inf_lb) ).

fof(h_sup_ub,hypothesis,
    ! [X1] : leq(X1,nsup),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_sup_ub) ).

fof(verdict_enum,axiom,
    ! [X10] :
      ( is_verdict(X10)
     => ( X10 = conflict
        | X10 = compatible
        | X10 = unknown ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',verdict_enum) ).

fof(h_0_sup,hypothesis,
    less(n0,nsup),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_0_sup) ).

fof(h_inf_0,hypothesis,
    less(ninf,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_inf_0) ).

fof(h_unknown,hypothesis,
    box_verdict(unknown,unknown) = unknown,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_unknown) ).

fof(unknown_is_verdict,axiom,
    is_verdict(unknown),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',unknown_is_verdict) ).

fof(compatible_is_verdict,axiom,
    is_verdict(compatible),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',compatible_is_verdict) ).

fof(conflict_is_verdict,axiom,
    is_verdict(conflict),
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',conflict_is_verdict) ).

fof(verdicts_distinct_cp_un,axiom,
    compatible != unknown,
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cp_un) ).

fof(verdicts_distinct_cf_un,axiom,
    conflict != unknown,
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cf_un) ).

fof(verdicts_distinct_cf_cp,axiom,
    conflict != compatible,
    file('/export/starexec/sandbox2/benchmark/Axioms/MGT002+2.ax',verdicts_distinct_cf_cp) ).

fof(i_0_40,negated_conjecture,
    ~ ? [X10] :
        ( leq(ninf,X10)
        & leq(X10,nsup)
        & completion_compatible(X10,ninf,nsup) ),
    inference(assume_negation,[status(cth)],[unknown_sound_compatible]) ).

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

fof(i_0_42,plain,
    ! [X167,X168,X169,X170,X171,X172,X173,X174,X175] :
      ( ( ~ axis_subsumes(X167,X168,X169,X170)
        | ~ in_closed(X171,X167,X168)
        | in_closed(X171,X169,X170) )
      & ( in_closed(esk4_4(X172,X173,X174,X175),X172,X173)
        | axis_subsumes(X172,X173,X174,X175) )
      & ( ~ in_closed(esk4_4(X172,X173,X174,X175),X174,X175)
        | axis_subsumes(X172,X173,X174,X175) ) ),
    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_43,plain,
    ! [X201,X202,X203,X204,X205,X206] :
      ( ~ axis_subsumes(X201,X202,X203,X204)
      | ~ axis_conflict(X203,X204,X205,X206)
      | axis_conflict(X201,X202,X205,X206) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[monotone_conflict])]) ).

fof(i_0_44,plain,
    ! [X157,X158,X159,X160,X162,X163,X164,X165,X166] :
      ( ( in_closed(esk3_4(X157,X158,X159,X160),X157,X158)
        | ~ axis_compatible(X157,X158,X159,X160) )
      & ( in_closed(esk3_4(X157,X158,X159,X160),X159,X160)
        | ~ axis_compatible(X157,X158,X159,X160) )
      & ( ~ in_closed(X166,X162,X163)
        | ~ in_closed(X166,X164,X165)
        | axis_compatible(X162,X163,X164,X165) ) ),
    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_45,plain,
    ! [X147,X148,X149,X150,X151,X152,X153,X154,X155] :
      ( ( ~ axis_conflict(X147,X148,X149,X150)
        | ~ in_closed(X151,X147,X148)
        | ~ in_closed(X151,X149,X150) )
      & ( in_closed(esk2_4(X152,X153,X154,X155),X152,X153)
        | axis_conflict(X152,X153,X154,X155) )
      & ( in_closed(esk2_4(X152,X153,X154,X155),X154,X155)
        | axis_conflict(X152,X153,X154,X155) ) ),
    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_46,plain,
    ! [X207,X208,X209,X210,X211] :
      ( ~ axis_subsumes(X207,X208,X209,X210)
      | ~ in_closed(X211,X207,X208)
      | in_closed(X211,X209,X210) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redundancy])])]) ).

fof(i_0_47,plain,
    ! [X189,X190,X191,X192] :
      ( ~ leq(X191,X189)
      | ~ leq(X189,X192)
      | ~ leq(X191,X190)
      | ~ leq(X190,X192)
      | ~ less(X189,X190)
      | completion_conflict(X189,X190,X191,X192) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[completion_conflict])]) ).

fof(i_0_48,plain,
    ! [X197,X198,X199,X200] :
      ( ~ leq(X199,X197)
      | ~ leq(X197,X200)
      | ~ less(X197,X198)
      | ~ leq(X198,X200)
      | completion_conflict(X197,X198,X199,X200) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sharpness_conflict])]) ).

fof(i_0_49,plain,
    ! [X193,X194,X195,X196] :
      ( ~ leq(X195,X193)
      | ~ leq(X193,X196)
      | ~ less(X193,X194)
      | ~ leq(X194,X196)
      | completion_compatible(X193,X195,X196) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sharpness_compat])]) ).

fof(i_0_50,negated_conjecture,
    ! [X214] :
      ( ~ leq(ninf,X214)
      | ~ leq(X214,nsup)
      | ~ completion_compatible(X214,ninf,nsup) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])]) ).

fof(i_0_51,plain,
    ! [X141,X142,X143] :
      ( ( leq(X142,X141)
        | ~ in_ropen(X141,X142,X143) )
      & ( less(X141,X143)
        | ~ in_ropen(X141,X142,X143) )
      & ( ~ leq(X142,X141)
        | ~ less(X141,X143)
        | in_ropen(X141,X142,X143) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_ropen])])]) ).

fof(i_0_52,plain,
    ! [X138,X139,X140] :
      ( ( less(X139,X138)
        | ~ in_lopen(X138,X139,X140) )
      & ( leq(X138,X140)
        | ~ in_lopen(X138,X139,X140) )
      & ( ~ less(X139,X138)
        | ~ leq(X138,X140)
        | in_lopen(X138,X139,X140) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_lopen])])]) ).

fof(i_0_53,plain,
    ! [X135,X136,X137] :
      ( ( leq(X136,X135)
        | ~ in_closed(X135,X136,X137) )
      & ( leq(X135,X137)
        | ~ in_closed(X135,X136,X137) )
      & ( ~ leq(X136,X135)
        | ~ leq(X135,X137)
        | in_closed(X135,X136,X137) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_closed])])]) ).

fof(i_0_54,plain,
    ! [X144,X145,X146] :
      ( ( less(X145,X144)
        | ~ in_open(X144,X145,X146) )
      & ( less(X144,X146)
        | ~ in_open(X144,X145,X146) )
      & ( ~ less(X145,X144)
        | ~ less(X144,X146)
        | in_open(X144,X145,X146) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[in_open])])]) ).

fof(i_0_55,plain,
    ! [X186,X187,X188] :
      ( ~ leq(X187,X186)
      | ~ leq(X186,X188)
      | completion_compatible(X186,X187,X188) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[completion_compat])]) ).

fof(i_0_56,plain,
    ! [X132,X133] :
      ( ( less(X132,esk1_2(X132,X133))
        | ~ less(X132,X133) )
      & ( less(esk1_2(X132,X133),X133)
        | ~ less(X132,X133) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dense])])])]) ).

fof(i_0_57,plain,
    ! [X129,X130,X131] :
      ( ~ leq(X129,X130)
      | ~ leq(X130,X131)
      | leq(X129,X131) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_trans])]) ).

fof(i_0_58,plain,
    ! [X126,X127,X128] :
      ( ~ less(X126,X127)
      | ~ leq(X127,X128)
      | less(X126,X128) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_leq_trans])]) ).

fof(i_0_59,plain,
    ! [X123,X124,X125] :
      ( ~ leq(X123,X124)
      | ~ less(X124,X125)
      | less(X123,X125) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_less_trans])]) ).

fof(i_0_60,plain,
    ! [X112,X113,X114] :
      ( ~ less(X112,X113)
      | ~ less(X113,X114)
      | less(X112,X114) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitive])]) ).

fof(i_0_61,plain,
    ! [X184,X185] :
      ( ~ is_verdict(X184)
      | ~ is_verdict(X185)
      | box_verdict(X184,X185) = conflict
      | box_verdict(X184,X185) = compatible
      | box_verdict(X184,X185) = unknown ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_verdict_total])]) ).

fof(i_0_62,plain,
    ! [X119,X120] :
      ( ~ leq(X119,X120)
      | ~ leq(X120,X119)
      | X119 = X120 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_antisym])]) ).

fof(i_0_63,plain,
    ! [X117,X118] :
      ( ( ~ leq(X117,X118)
        | less(X117,X118)
        | X117 = X118 )
      & ( ~ less(X117,X118)
        | leq(X117,X118) )
      & ( X117 != X118
        | leq(X117,X118) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[leq_def])])]) ).

fof(i_0_64,plain,
    ! [X121,X122] :
      ( ~ less(X121,X122)
      | leq(X121,X122) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_implies_leq])]) ).

fof(i_0_65,plain,
    ! [X182,X183] :
      ( ( X182 != unknown
        | ~ is_verdict(X182)
        | ~ is_verdict(X183)
        | X182 = conflict
        | X183 = conflict
        | box_verdict(X182,X183) = unknown )
      & ( X183 != unknown
        | ~ is_verdict(X182)
        | ~ is_verdict(X183)
        | X182 = conflict
        | X183 = conflict
        | box_verdict(X182,X183) = unknown ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_unknown])])]) ).

fof(i_0_66,plain,
    ! [X180,X181] :
      ( ~ is_verdict(X180)
      | ~ is_verdict(X181)
      | X180 != compatible
      | X181 != compatible
      | box_verdict(X180,X181) = compatible ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_compatible])]) ).

fof(i_0_67,plain,
    ! [X178,X179] :
      ( ( X178 != conflict
        | ~ is_verdict(X178)
        | ~ is_verdict(X179)
        | box_verdict(X178,X179) = conflict )
      & ( X179 != conflict
        | ~ is_verdict(X178)
        | ~ is_verdict(X179)
        | box_verdict(X178,X179) = conflict ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[box_conflict])])]) ).

fof(i_0_68,plain,
    ! [X115,X116] :
      ( less(X115,X116)
      | X115 = X116
      | less(X116,X115) ),
    inference(variable_rename,[status(thm)],[trichotomy]) ).

fof(i_0_69,plain,
    ! [X111] : ~ less(X111,X111),
    inference(variable_rename,[status(thm)],[i_0_41]) ).

fof(i_0_70,hypothesis,
    ! [X212] : leq(ninf,X212),
    inference(variable_rename,[status(thm)],[h_inf_lb]) ).

fof(i_0_71,hypothesis,
    ! [X213] : leq(X213,nsup),
    inference(variable_rename,[status(thm)],[h_sup_ub]) ).

fof(i_0_72,plain,
    ! [X177] :
      ( ~ is_verdict(X177)
      | X177 = conflict
      | X177 = compatible
      | X177 = unknown ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[verdict_enum])]) ).

cnf(i_0_73,plain,
    ( axis_subsumes(X1,X2,X3,X4)
    | ~ in_closed(esk4_4(X1,X2,X3,X4),X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_74,plain,
    ( axis_conflict(X1,X2,X5,X6)
    | ~ axis_subsumes(X1,X2,X3,X4)
    | ~ axis_conflict(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[i_0_43]),
    [final] ).

cnf(i_0_75,plain,
    ( in_closed(esk3_4(X1,X2,X3,X4),X1,X2)
    | ~ axis_compatible(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_44]),
    [final] ).

cnf(i_0_76,plain,
    ( in_closed(esk3_4(X1,X2,X3,X4),X3,X4)
    | ~ axis_compatible(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_44]),
    [final] ).

cnf(i_0_77,plain,
    ( in_closed(esk4_4(X1,X2,X3,X4),X1,X2)
    | axis_subsumes(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_78,plain,
    ( in_closed(esk2_4(X1,X2,X3,X4),X1,X2)
    | axis_conflict(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_45]),
    [final] ).

cnf(i_0_79,plain,
    ( in_closed(esk2_4(X1,X2,X3,X4),X3,X4)
    | axis_conflict(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_45]),
    [final] ).

cnf(i_0_80,plain,
    ( ~ axis_conflict(X1,X2,X3,X4)
    | ~ in_closed(X5,X1,X2)
    | ~ in_closed(X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_45]),
    [final] ).

cnf(i_0_81,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_82,plain,
    ( in_closed(X5,X3,X4)
    | ~ axis_subsumes(X1,X2,X3,X4)
    | ~ in_closed(X5,X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_42]),
    [final] ).

cnf(i_0_83,plain,
    ( axis_compatible(X2,X3,X4,X5)
    | ~ in_closed(X1,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[i_0_44]),
    [final] ).

cnf(i_0_84,plain,
    ( completion_conflict(X2,X4,X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | ~ leq(X1,X4)
    | ~ leq(X4,X3)
    | ~ less(X2,X4) ),
    inference(split_conjunct,[status(thm)],[i_0_47]),
    [final] ).

cnf(i_0_85,plain,
    ( completion_conflict(X2,X4,X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | ~ less(X2,X4)
    | ~ leq(X4,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_48]),
    [final] ).

cnf(i_0_86,plain,
    ( completion_compatible(X2,X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | ~ less(X2,X4)
    | ~ leq(X4,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_49]),
    [final] ).

cnf(i_0_87,negated_conjecture,
    ( ~ leq(ninf,X1)
    | ~ leq(X1,nsup)
    | ~ completion_compatible(X1,ninf,nsup) ),
    inference(split_conjunct,[status(thm)],[i_0_50]),
    [final] ).

cnf(i_0_88,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_51]),
    [final] ).

cnf(i_0_89,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_52]),
    [final] ).

cnf(i_0_90,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_53]),
    [final] ).

cnf(i_0_91,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_53]),
    [final] ).

cnf(i_0_92,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_54]),
    [final] ).

cnf(i_0_93,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_54]),
    [final] ).

cnf(i_0_94,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_51]),
    [final] ).

cnf(i_0_95,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_52]),
    [final] ).

cnf(i_0_96,plain,
    ( completion_compatible(X2,X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_55]),
    [final] ).

cnf(i_0_97,plain,
    ( in_open(X2,X1,X3)
    | ~ less(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_54]),
    [final] ).

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

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

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

cnf(i_0_101,plain,
    ( less(esk1_2(X1,X2),X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_56]),
    [final] ).

cnf(i_0_102,plain,
    ( less(X1,esk1_2(X1,X2))
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_56]),
    [final] ).

cnf(i_0_103,plain,
    ( leq(X1,X3)
    | ~ leq(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_57]),
    [final] ).

cnf(i_0_104,plain,
    ( less(X1,X3)
    | ~ less(X1,X2)
    | ~ leq(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_58]),
    [final] ).

cnf(i_0_105,plain,
    ( less(X1,X3)
    | ~ leq(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_59]),
    [final] ).

cnf(i_0_106,plain,
    ( less(X1,X3)
    | ~ less(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[i_0_60]),
    [final] ).

cnf(i_0_107,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_61]),
    [final] ).

cnf(i_0_108,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | ~ leq(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_62]),
    [final] ).

cnf(i_0_109,plain,
    ( less(X1,X2)
    | X1 = X2
    | ~ leq(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_63]),
    [final] ).

cnf(i_0_110,plain,
    ( leq(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_64]),
    [final] ).

cnf(i_0_111,plain,
    ( leq(X1,X2)
    | ~ less(X1,X2) ),
    inference(split_conjunct,[status(thm)],[i_0_63]),
    [final] ).

cnf(i_0_112,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_65]),
    [final] ).

cnf(i_0_113,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_65]),
    [final] ).

cnf(i_0_114,plain,
    ( box_verdict(X1,X2) = compatible
    | ~ is_verdict(X1)
    | ~ is_verdict(X2)
    | X1 != compatible
    | X2 != compatible ),
    inference(split_conjunct,[status(thm)],[i_0_66]),
    [final] ).

cnf(i_0_115,plain,
    ( box_verdict(X1,X2) = conflict
    | X1 != conflict
    | ~ is_verdict(X1)
    | ~ is_verdict(X2) ),
    inference(split_conjunct,[status(thm)],[i_0_67]),
    [final] ).

cnf(i_0_116,plain,
    ( box_verdict(X2,X1) = conflict
    | X1 != conflict
    | ~ is_verdict(X2)
    | ~ is_verdict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_67]),
    [final] ).

cnf(i_0_117,plain,
    ( less(X1,X2)
    | X1 = X2
    | less(X2,X1) ),
    inference(split_conjunct,[status(thm)],[i_0_68]),
    [final] ).

cnf(i_0_118,plain,
    ~ less(X1,X1),
    inference(split_conjunct,[status(thm)],[i_0_69]),
    [final] ).

cnf(i_0_119,plain,
    ( leq(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[i_0_63]),
    [final] ).

cnf(i_0_120,hypothesis,
    leq(ninf,X1),
    inference(split_conjunct,[status(thm)],[i_0_70]),
    [final] ).

cnf(i_0_121,hypothesis,
    leq(X1,nsup),
    inference(split_conjunct,[status(thm)],[i_0_71]),
    [final] ).

cnf(i_0_122,plain,
    ( X1 = conflict
    | X1 = compatible
    | X1 = unknown
    | ~ is_verdict(X1) ),
    inference(split_conjunct,[status(thm)],[i_0_72]),
    [final] ).

cnf(i_0_123,hypothesis,
    less(n0,nsup),
    inference(split_conjunct,[status(thm)],[h_0_sup]),
    [final] ).

cnf(i_0_124,hypothesis,
    less(ninf,n0),
    inference(split_conjunct,[status(thm)],[h_inf_0]),
    [final] ).

cnf(i_0_125,hypothesis,
    box_verdict(unknown,unknown) = unknown,
    inference(split_conjunct,[status(thm)],[h_unknown]),
    [final] ).

cnf(i_0_126,plain,
    is_verdict(unknown),
    inference(split_conjunct,[status(thm)],[unknown_is_verdict]),
    [final] ).

cnf(i_0_127,plain,
    is_verdict(compatible),
    inference(split_conjunct,[status(thm)],[compatible_is_verdict]),
    [final] ).

cnf(i_0_128,plain,
    is_verdict(conflict),
    inference(split_conjunct,[status(thm)],[conflict_is_verdict]),
    [final] ).

cnf(i_0_129,plain,
    compatible != unknown,
    inference(split_conjunct,[status(thm)],[verdicts_distinct_cp_un]),
    [final] ).

cnf(i_0_130,plain,
    conflict != unknown,
    inference(split_conjunct,[status(thm)],[verdicts_distinct_cf_un]),
    [final] ).

cnf(i_0_131,plain,
    conflict != compatible,
    inference(split_conjunct,[status(thm)],[verdicts_distinct_cf_cp]),
    [final] ).

cnf(i_0_132,axiom,
    X1 = X1 ).

cnf(i_0_133,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_134,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_135,axiom,
    ( X1 != X2
    | box_verdict(X1,X3) = box_verdict(X2,X3) ) ).

cnf(i_0_136,axiom,
    ( X1 != X2
    | box_verdict(X3,X1) = box_verdict(X3,X2) ) ).

cnf(i_0_137,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X1,X3,X4,X5)
    | axis_subsumes(X2,X3,X4,X5) ) ).

cnf(i_0_138,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X1,X4,X5)
    | axis_subsumes(X3,X2,X4,X5) ) ).

cnf(i_0_139,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X4,X1,X5)
    | axis_subsumes(X3,X4,X2,X5) ) ).

cnf(i_0_140,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X4,X5,X1)
    | axis_subsumes(X3,X4,X5,X2) ) ).

cnf(i_0_141,axiom,
    ( X1 != X2
    | ~ in_lopen(X1,X3,X4)
    | in_lopen(X2,X3,X4) ) ).

cnf(i_0_142,axiom,
    ( X1 != X2
    | ~ in_lopen(X3,X1,X4)
    | in_lopen(X3,X2,X4) ) ).

cnf(i_0_143,axiom,
    ( X1 != X2
    | ~ in_lopen(X3,X4,X1)
    | in_lopen(X3,X4,X2) ) ).

cnf(i_0_144,axiom,
    ( X1 != X2
    | ~ in_open(X1,X3,X4)
    | in_open(X2,X3,X4) ) ).

cnf(i_0_145,axiom,
    ( X1 != X2
    | ~ in_open(X3,X1,X4)
    | in_open(X3,X2,X4) ) ).

cnf(i_0_146,axiom,
    ( X1 != X2
    | ~ in_open(X3,X4,X1)
    | in_open(X3,X4,X2) ) ).

cnf(i_0_147,axiom,
    ( X1 != X2
    | ~ is_verdict(X1)
    | is_verdict(X2) ) ).

cnf(i_0_148,axiom,
    ( X1 != X2
    | ~ in_closed(X1,X3,X4)
    | in_closed(X2,X3,X4) ) ).

cnf(i_0_149,axiom,
    ( X1 != X2
    | ~ in_closed(X3,X1,X4)
    | in_closed(X3,X2,X4) ) ).

cnf(i_0_150,axiom,
    ( X1 != X2
    | ~ in_closed(X3,X4,X1)
    | in_closed(X3,X4,X2) ) ).

cnf(i_0_151,axiom,
    ( X1 != X2
    | ~ axis_conflict(X1,X3,X4,X5)
    | axis_conflict(X2,X3,X4,X5) ) ).

cnf(i_0_152,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X1,X4,X5)
    | axis_conflict(X3,X2,X4,X5) ) ).

cnf(i_0_153,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X4,X1,X5)
    | axis_conflict(X3,X4,X2,X5) ) ).

cnf(i_0_154,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X4,X5,X1)
    | axis_conflict(X3,X4,X5,X2) ) ).

cnf(i_0_155,axiom,
    ( X1 != X2
    | ~ axis_compatible(X1,X3,X4,X5)
    | axis_compatible(X2,X3,X4,X5) ) ).

cnf(i_0_156,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X1,X4,X5)
    | axis_compatible(X3,X2,X4,X5) ) ).

cnf(i_0_157,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X4,X1,X5)
    | axis_compatible(X3,X4,X2,X5) ) ).

cnf(i_0_158,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X4,X5,X1)
    | axis_compatible(X3,X4,X5,X2) ) ).

cnf(i_0_159,axiom,
    ( X1 != X2
    | ~ completion_conflict(X1,X3,X4,X5)
    | completion_conflict(X2,X3,X4,X5) ) ).

cnf(i_0_160,axiom,
    ( X1 != X2
    | ~ completion_conflict(X3,X1,X4,X5)
    | completion_conflict(X3,X2,X4,X5) ) ).

cnf(i_0_161,axiom,
    ( X1 != X2
    | ~ completion_conflict(X3,X4,X1,X5)
    | completion_conflict(X3,X4,X2,X5) ) ).

cnf(i_0_162,axiom,
    ( X1 != X2
    | ~ completion_conflict(X3,X4,X5,X1)
    | completion_conflict(X3,X4,X5,X2) ) ).

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

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

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

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

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

cnf(i_0_168,axiom,
    ( X1 != X2
    | ~ completion_compatible(X3,X1,X4)
    | completion_compatible(X3,X2,X4) ) ).

cnf(i_0_169,axiom,
    ( X1 != X2
    | ~ completion_compatible(X3,X4,X1)
    | completion_compatible(X3,X4,X2) ) ).

cnf(i_0_170,axiom,
    ( X1 != X2
    | ~ in_ropen(X1,X3,X4)
    | in_ropen(X2,X3,X4) ) ).

cnf(i_0_171,axiom,
    ( X1 != X2
    | ~ in_ropen(X3,X1,X4)
    | in_ropen(X3,X2,X4) ) ).

cnf(i_0_172,axiom,
    ( X1 != X2
    | ~ in_ropen(X3,X4,X1)
    | in_ropen(X3,X4,X2) ) ).

cnf(i_0_132_001,axiom,
    X1 = X1 ).

cnf(i_0_133_002,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_134_003,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_135_004,axiom,
    ( X1 != X2
    | box_verdict(X1,X3) = box_verdict(X2,X3) ) ).

cnf(i_0_136_005,axiom,
    ( X1 != X2
    | box_verdict(X3,X1) = box_verdict(X3,X2) ) ).

cnf(i_0_137_006,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X1,X3,X4,X5)
    | axis_subsumes(X2,X3,X4,X5) ) ).

cnf(i_0_138_007,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X1,X4,X5)
    | axis_subsumes(X3,X2,X4,X5) ) ).

cnf(i_0_139_008,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X4,X1,X5)
    | axis_subsumes(X3,X4,X2,X5) ) ).

cnf(i_0_140_009,axiom,
    ( X1 != X2
    | ~ axis_subsumes(X3,X4,X5,X1)
    | axis_subsumes(X3,X4,X5,X2) ) ).

cnf(i_0_141_010,axiom,
    ( X1 != X2
    | ~ in_lopen(X1,X3,X4)
    | in_lopen(X2,X3,X4) ) ).

cnf(i_0_142_011,axiom,
    ( X1 != X2
    | ~ in_lopen(X3,X1,X4)
    | in_lopen(X3,X2,X4) ) ).

cnf(i_0_143_012,axiom,
    ( X1 != X2
    | ~ in_lopen(X3,X4,X1)
    | in_lopen(X3,X4,X2) ) ).

cnf(i_0_144_013,axiom,
    ( X1 != X2
    | ~ in_open(X1,X3,X4)
    | in_open(X2,X3,X4) ) ).

cnf(i_0_145_014,axiom,
    ( X1 != X2
    | ~ in_open(X3,X1,X4)
    | in_open(X3,X2,X4) ) ).

cnf(i_0_146_015,axiom,
    ( X1 != X2
    | ~ in_open(X3,X4,X1)
    | in_open(X3,X4,X2) ) ).

cnf(i_0_147_016,axiom,
    ( X1 != X2
    | ~ is_verdict(X1)
    | is_verdict(X2) ) ).

cnf(i_0_148_017,axiom,
    ( X1 != X2
    | ~ in_closed(X1,X3,X4)
    | in_closed(X2,X3,X4) ) ).

cnf(i_0_149_018,axiom,
    ( X1 != X2
    | ~ in_closed(X3,X1,X4)
    | in_closed(X3,X2,X4) ) ).

cnf(i_0_150_019,axiom,
    ( X1 != X2
    | ~ in_closed(X3,X4,X1)
    | in_closed(X3,X4,X2) ) ).

cnf(i_0_151_020,axiom,
    ( X1 != X2
    | ~ axis_conflict(X1,X3,X4,X5)
    | axis_conflict(X2,X3,X4,X5) ) ).

cnf(i_0_152_021,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X1,X4,X5)
    | axis_conflict(X3,X2,X4,X5) ) ).

cnf(i_0_153_022,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X4,X1,X5)
    | axis_conflict(X3,X4,X2,X5) ) ).

cnf(i_0_154_023,axiom,
    ( X1 != X2
    | ~ axis_conflict(X3,X4,X5,X1)
    | axis_conflict(X3,X4,X5,X2) ) ).

cnf(i_0_155_024,axiom,
    ( X1 != X2
    | ~ axis_compatible(X1,X3,X4,X5)
    | axis_compatible(X2,X3,X4,X5) ) ).

cnf(i_0_156_025,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X1,X4,X5)
    | axis_compatible(X3,X2,X4,X5) ) ).

cnf(i_0_157_026,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X4,X1,X5)
    | axis_compatible(X3,X4,X2,X5) ) ).

cnf(i_0_158_027,axiom,
    ( X1 != X2
    | ~ axis_compatible(X3,X4,X5,X1)
    | axis_compatible(X3,X4,X5,X2) ) ).

cnf(i_0_159_028,axiom,
    ( X1 != X2
    | ~ completion_conflict(X1,X3,X4,X5)
    | completion_conflict(X2,X3,X4,X5) ) ).

cnf(i_0_160_029,axiom,
    ( X1 != X2
    | ~ completion_conflict(X3,X1,X4,X5)
    | completion_conflict(X3,X2,X4,X5) ) ).

cnf(i_0_161_030,axiom,
    ( X1 != X2
    | ~ completion_conflict(X3,X4,X1,X5)
    | completion_conflict(X3,X4,X2,X5) ) ).

cnf(i_0_162_031,axiom,
    ( X1 != X2
    | ~ completion_conflict(X3,X4,X5,X1)
    | completion_conflict(X3,X4,X5,X2) ) ).

cnf(i_0_163_032,axiom,
    ( X1 != X2
    | ~ leq(X1,X3)
    | leq(X2,X3) ) ).

cnf(i_0_164_033,axiom,
    ( X1 != X2
    | ~ leq(X3,X1)
    | leq(X3,X2) ) ).

cnf(i_0_165_034,axiom,
    ( X1 != X2
    | ~ less(X1,X3)
    | less(X2,X3) ) ).

cnf(i_0_166_035,axiom,
    ( X1 != X2
    | ~ less(X3,X1)
    | less(X3,X2) ) ).

cnf(i_0_167_036,axiom,
    ( X1 != X2
    | ~ completion_compatible(X1,X3,X4)
    | completion_compatible(X2,X3,X4) ) ).

cnf(i_0_168_037,axiom,
    ( X1 != X2
    | ~ completion_compatible(X3,X1,X4)
    | completion_compatible(X3,X2,X4) ) ).

cnf(i_0_169_038,axiom,
    ( X1 != X2
    | ~ completion_compatible(X3,X4,X1)
    | completion_compatible(X3,X4,X2) ) ).

cnf(i_0_170_039,axiom,
    ( X1 != X2
    | ~ in_ropen(X1,X3,X4)
    | in_ropen(X2,X3,X4) ) ).

cnf(i_0_171_040,axiom,
    ( X1 != X2
    | ~ in_ropen(X3,X1,X4)
    | in_ropen(X3,X2,X4) ) ).

cnf(i_0_172_041,axiom,
    ( X1 != X2
    | ~ in_ropen(X3,X4,X1)
    | in_ropen(X3,X4,X2) ) ).

cnf(i_0_173,plain,
    ( ~ is_verdict(unknown)
    | ~ is_verdict(X1)
    | unknown = conflict
    | X1 = conflict
    | box_verdict(unknown,X1) = unknown ),
    inference(equality_inference,[],[112]) ).

cnf(i_0_174,plain,
    ( ~ is_verdict(X1)
    | ~ is_verdict(unknown)
    | X1 = conflict
    | unknown = conflict
    | box_verdict(X1,unknown) = unknown ),
    inference(equality_inference,[],[113]) ).

cnf(i_0_175,plain,
    ( ~ is_verdict(conflict)
    | ~ is_verdict(X1)
    | box_verdict(conflict,X1) = conflict ),
    inference(equality_inference,[],[115]) ).

cnf(i_0_176,plain,
    ( ~ is_verdict(X1)
    | ~ is_verdict(conflict)
    | box_verdict(X1,conflict) = conflict ),
    inference(equality_inference,[],[116]) ).

cnf(i_0_177,plain,
    leq(X1,X1),
    inference(equality_inference,[],[119]) ).

cnf(i_0_178,plain,
    ( ~ is_verdict(X1)
    | unknown = conflict
    | X1 = conflict
    | box_verdict(unknown,X1) = unknown ),
    inference(scs_inference,[],[i_0_126,i_0_173]) ).

cnf(i_0_179,plain,
    ( ~ is_verdict(X1)
    | X1 = conflict
    | unknown = conflict
    | box_verdict(X1,unknown) = unknown ),
    inference(scs_inference,[],[i_0_126,i_0_174]) ).

cnf(i_0_180,plain,
    ( ~ is_verdict(X1)
    | box_verdict(conflict,X1) = conflict ),
    inference(scs_inference,[],[i_0_128,i_0_175]) ).

cnf(i_0_181,plain,
    ( ~ is_verdict(X1)
    | box_verdict(X1,conflict) = conflict ),
    inference(scs_inference,[],[i_0_128,i_0_176]) ).

cnf(i_0_182,plain,
    leq(box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_125,i_0_119]) ).

cnf(i_0_183,plain,
    ( X1 != X2
    | leq(X1,X2) ),
    inference(rename_variables,[],[i_0_119]) ).

cnf(i_0_184,plain,
    ~ in_open(X1,X2,X1),
    inference(scs_inference,[],[i_0_118,i_0_125,i_0_119,i_0_92]) ).

cnf(i_0_185,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_92]) ).

cnf(i_0_186,plain,
    ~ in_open(X1,X1,X2),
    inference(scs_inference,[],[i_0_118,i_0_125,i_0_119,i_0_92,i_0_93]) ).

cnf(i_0_187,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_93]) ).

cnf(i_0_188,plain,
    ~ in_ropen(X1,X2,X1),
    inference(scs_inference,[],[i_0_118,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94]) ).

cnf(i_0_189,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_94]) ).

cnf(i_0_190,plain,
    ~ in_lopen(X1,X1,X2),
    inference(scs_inference,[],[i_0_118,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95]) ).

cnf(i_0_191,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_95]) ).

cnf(i_0_192,plain,
    unknown = box_verdict(unknown,unknown),
    inference(scs_inference,[],[i_0_118,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133]) ).

cnf(i_0_193,plain,
    completion_compatible(X1,X1,X1),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96]) ).

cnf(i_0_194,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | completion_compatible(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_195,plain,
    in_ropen(n0,n0,nsup),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_123,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98]) ).

cnf(i_0_196,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_197,plain,
    ( ~ leq(X1,X2)
    | ~ less(X2,X3)
    | in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_98]) ).

cnf(i_0_198,plain,
    in_lopen(nsup,n0,nsup),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_196,i_0_123,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99]) ).

cnf(i_0_199,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_200,plain,
    ( ~ less(X1,X2)
    | ~ leq(X2,X3)
    | in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_99]) ).

cnf(i_0_201,plain,
    in_closed(X1,X1,X1),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_196,i_0_199,i_0_123,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100]) ).

cnf(i_0_202,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_203,plain,
    ~ less(X1,ninf),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104]) ).

cnf(i_0_204,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_205,plain,
    ( ~ leq(X1,X2)
    | less(X3,X2)
    | ~ less(X3,X1) ),
    inference(rename_variables,[],[i_0_104]) ).

cnf(i_0_206,plain,
    ~ leq(nsup,n0),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105]) ).

cnf(i_0_207,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_208,plain,
    ( ~ less(X1,X2)
    | less(X3,X2)
    | ~ leq(X3,X1) ),
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_209,plain,
    n0 != nsup,
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142]) ).

cnf(i_0_210,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80]) ).

cnf(i_0_211,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_212,plain,
    axis_compatible(X1,X1,X1,X1),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83]) ).

cnf(i_0_213,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_214,plain,
    in_open(n0,ninf,nsup),
    inference(scs_inference,[],[i_0_118,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97]) ).

cnf(i_0_215,plain,
    ( ~ less(X1,X2)
    | ~ less(X2,X3)
    | in_open(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_97]) ).

cnf(i_0_216,plain,
    ~ less(nsup,n0),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106]) ).

cnf(i_0_217,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_218,plain,
    ( ~ less(X1,X2)
    | less(X3,X2)
    | ~ less(X3,X1) ),
    inference(rename_variables,[],[i_0_106]) ).

cnf(i_0_219,plain,
    compatible != box_verdict(unknown,unknown),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134]) ).

cnf(i_0_220,plain,
    is_verdict(box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147]) ).

cnf(i_0_221,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),unknown,unknown,unknown),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151]) ).

cnf(i_0_222,plain,
    ~ axis_conflict(unknown,box_verdict(unknown,unknown),unknown,unknown),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152]) ).

cnf(i_0_223,plain,
    ~ axis_conflict(unknown,unknown,box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153]) ).

cnf(i_0_224,plain,
    ~ axis_conflict(unknown,unknown,unknown,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154]) ).

cnf(i_0_225,plain,
    ~ less(box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165]) ).

cnf(i_0_226,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_227,plain,
    ~ less(unknown,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166]) ).

cnf(i_0_228,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_229,plain,
    ~ in_ropen(n0,nsup,X1),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88]) ).

cnf(i_0_230,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_88]) ).

cnf(i_0_231,plain,
    ~ in_lopen(nsup,X1,n0),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89]) ).

cnf(i_0_232,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_89]) ).

cnf(i_0_233,plain,
    ~ in_closed(nsup,X1,n0),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90]) ).

cnf(i_0_234,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_90]) ).

cnf(i_0_235,plain,
    ~ in_closed(n0,nsup,X1),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91]) ).

cnf(i_0_236,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_237,plain,
    ~ leq(nsup,ninf),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103]) ).

cnf(i_0_238,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_239,plain,
    ( ~ leq(X1,X2)
    | leq(X3,X2)
    | ~ leq(X3,X1) ),
    inference(rename_variables,[],[i_0_103]) ).

cnf(i_0_240,plain,
    ( ~ leq(compatible,unknown)
    | less(compatible,unknown) ),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103,i_0_109]) ).

cnf(i_0_241,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_242,plain,
    ninf != nsup,
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_238,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103,i_0_109,i_0_163]) ).

cnf(i_0_243,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_244,plain,
    nsup != n0,
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_238,i_0_121,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103,i_0_109,i_0_163,i_0_164]) ).

cnf(i_0_245,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_246,plain,
    less(ninf,nsup),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_238,i_0_121,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103,i_0_109,i_0_163,i_0_164,i_0_117]) ).

cnf(i_0_247,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_117]) ).

cnf(i_0_248,plain,
    ( in_closed(unknown,X1,X2)
    | ~ axis_subsumes(unknown,unknown,X1,X2) ),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_238,i_0_121,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103,i_0_109,i_0_163,i_0_164,i_0_117,i_0_82]) ).

cnf(i_0_249,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_250,plain,
    ( X1 != nsup
    | ~ in_lopen(X1,nsup,nsup) ),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_238,i_0_121,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103,i_0_109,i_0_163,i_0_164,i_0_117,i_0_82,i_0_141]) ).

cnf(i_0_251,plain,
    ( unknown != nsup
    | ~ axis_subsumes(unknown,unknown,X1,n0) ),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_238,i_0_121,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103,i_0_109,i_0_163,i_0_164,i_0_117,i_0_82,i_0_141,i_0_148]) ).

cnf(i_0_252,plain,
    ( X1 != n0
    | ~ axis_subsumes(unknown,unknown,X2,n0)
    | ~ in_ropen(X1,nsup,X3) ),
    inference(scs_inference,[],[i_0_118,i_0_207,i_0_217,i_0_226,i_0_177,i_0_196,i_0_199,i_0_120,i_0_204,i_0_238,i_0_121,i_0_123,i_0_124,i_0_126,i_0_129,i_0_125,i_0_119,i_0_92,i_0_93,i_0_94,i_0_95,i_0_133,i_0_96,i_0_98,i_0_99,i_0_100,i_0_104,i_0_105,i_0_142,i_0_80,i_0_83,i_0_97,i_0_106,i_0_134,i_0_147,i_0_151,i_0_152,i_0_153,i_0_154,i_0_165,i_0_166,i_0_88,i_0_89,i_0_90,i_0_91,i_0_103,i_0_163,i_0_164,i_0_117,i_0_82,i_0_148,i_0_170]) ).

cnf(i_0_253,plain,
    ~ in_lopen(nsup,nsup,nsup),
    inference(equality_inference,[],[250]) ).

cnf(i_0_254,plain,
    ( ~ in_ropen(n0,nsup,X1)
    | ~ axis_subsumes(unknown,unknown,X2,n0) ),
    inference(equality_inference,[],[252]) ).

cnf(i_0_255,plain,
    ~ in_closed(nsup,X1,ninf),
    inference(scs_inference,[],[i_0_237,i_0_90]) ).

cnf(i_0_256,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_90]) ).

cnf(i_0_257,plain,
    ~ in_closed(ninf,nsup,X1),
    inference(scs_inference,[],[i_0_237,i_0_90,i_0_91]) ).

cnf(i_0_258,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_259,plain,
    ~ in_open(ninf,X1,X2),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_90,i_0_91,i_0_93]) ).

cnf(i_0_260,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_93]) ).

cnf(i_0_261,plain,
    ~ in_ropen(ninf,nsup,X1),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_90,i_0_91,i_0_93,i_0_88]) ).

cnf(i_0_262,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_88]) ).

cnf(i_0_263,plain,
    leq(unknown,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119]) ).

cnf(i_0_264,plain,
    ( X1 != X2
    | leq(X1,X2) ),
    inference(rename_variables,[],[i_0_119]) ).

cnf(i_0_265,plain,
    ~ in_open(X1,X2,ninf),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92]) ).

cnf(i_0_266,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_92]) ).

cnf(i_0_267,plain,
    ~ in_lopen(ninf,X1,X2),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95]) ).

cnf(i_0_268,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_95]) ).

cnf(i_0_269,plain,
    ~ in_lopen(nsup,X1,ninf),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89]) ).

cnf(i_0_270,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_89]) ).

cnf(i_0_271,plain,
    ~ in_ropen(X1,X2,ninf),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94]) ).

cnf(i_0_272,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_94]) ).

cnf(i_0_273,plain,
    nsup != ninf,
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_198,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143]) ).

cnf(i_0_274,plain,
    ~ in_ropen(box_verdict(unknown,unknown),X1,unknown),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_198,i_0_188,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172]) ).

cnf(i_0_275,plain,
    ~ in_ropen(X1,X2,X1),
    inference(rename_variables,[],[i_0_188]) ).

cnf(i_0_276,plain,
    ~ in_open(box_verdict(unknown,unknown),unknown,X1),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_198,i_0_186,i_0_188,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145]) ).

cnf(i_0_277,plain,
    ~ in_open(X1,X1,X2),
    inference(rename_variables,[],[i_0_186]) ).

cnf(i_0_278,plain,
    ~ in_open(box_verdict(unknown,unknown),X1,unknown),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_198,i_0_184,i_0_186,i_0_188,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146]) ).

cnf(i_0_279,plain,
    ~ in_open(X1,X2,X1),
    inference(rename_variables,[],[i_0_184]) ).

cnf(i_0_280,plain,
    ~ in_open(unknown,X1,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_237,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144]) ).

cnf(i_0_281,plain,
    ~ in_open(X1,X2,X1),
    inference(rename_variables,[],[i_0_184]) ).

cnf(i_0_282,plain,
    completion_compatible(unknown,box_verdict(unknown,unknown),nsup),
    inference(scs_inference,[],[i_0_182,i_0_237,i_0_121,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96]) ).

cnf(i_0_283,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_284,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | completion_compatible(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_285,plain,
    ~ axis_subsumes(nsup,nsup,X1,n0),
    inference(scs_inference,[],[i_0_182,i_0_233,i_0_237,i_0_121,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82]) ).

cnf(i_0_286,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_287,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_288,plain,
    in_ropen(ninf,ninf,nsup),
    inference(scs_inference,[],[i_0_182,i_0_233,i_0_237,i_0_120,i_0_121,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_246,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98]) ).

cnf(i_0_289,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_290,plain,
    ( ~ leq(X1,X2)
    | ~ less(X2,X3)
    | in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_98]) ).

cnf(i_0_291,plain,
    in_lopen(nsup,ninf,nsup),
    inference(scs_inference,[],[i_0_182,i_0_233,i_0_237,i_0_120,i_0_121,i_0_283,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_246,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99]) ).

cnf(i_0_292,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_293,plain,
    ( ~ less(X1,X2)
    | ~ leq(X2,X3)
    | in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_99]) ).

cnf(i_0_294,plain,
    in_closed(unknown,box_verdict(unknown,unknown),nsup),
    inference(scs_inference,[],[i_0_182,i_0_233,i_0_237,i_0_120,i_0_121,i_0_283,i_0_292,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_246,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100]) ).

cnf(i_0_295,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_296,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_297,plain,
    ~ leq(n0,ninf),
    inference(scs_inference,[],[i_0_118,i_0_182,i_0_233,i_0_237,i_0_120,i_0_121,i_0_283,i_0_292,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_246,i_0_124,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105]) ).

cnf(i_0_298,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_299,plain,
    ( ~ less(X1,X2)
    | less(X3,X2)
    | ~ leq(X3,X1) ),
    inference(rename_variables,[],[i_0_105]) ).

cnf(i_0_300,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),nsup,box_verdict(unknown,unknown),nsup),
    inference(scs_inference,[],[i_0_118,i_0_182,i_0_233,i_0_237,i_0_120,i_0_121,i_0_283,i_0_292,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_246,i_0_124,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80]) ).

cnf(i_0_301,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_302,plain,
    axis_compatible(box_verdict(unknown,unknown),nsup,box_verdict(unknown,unknown),nsup),
    inference(scs_inference,[],[i_0_118,i_0_182,i_0_233,i_0_237,i_0_120,i_0_121,i_0_283,i_0_292,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_246,i_0_124,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83]) ).

cnf(i_0_303,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_304,plain,
    ~ less(nsup,X1),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_246,i_0_124,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104]) ).

cnf(i_0_305,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_306,plain,
    ( ~ leq(X1,X2)
    | less(X3,X2)
    | ~ less(X3,X1) ),
    inference(rename_variables,[],[i_0_104]) ).

cnf(i_0_307,plain,
    ninf != n0,
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_192,i_0_246,i_0_124,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163]) ).

cnf(i_0_308,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_309,plain,
    ~ in_lopen(unknown,box_verdict(unknown,unknown),X1),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_190,i_0_192,i_0_246,i_0_124,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141]) ).

cnf(i_0_310,plain,
    ~ in_lopen(X1,X1,X2),
    inference(rename_variables,[],[i_0_190]) ).

cnf(i_0_311,plain,
    conflict != box_verdict(unknown,unknown),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_184,i_0_279,i_0_186,i_0_188,i_0_190,i_0_192,i_0_130,i_0_246,i_0_124,i_0_125,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141,i_0_134]) ).

cnf(i_0_312,plain,
    ~ axis_conflict(unknown,box_verdict(unknown,unknown),box_verdict(unknown,unknown),box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_210,i_0_184,i_0_279,i_0_186,i_0_188,i_0_190,i_0_192,i_0_130,i_0_246,i_0_124,i_0_125,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141,i_0_134,i_0_151]) ).

cnf(i_0_313,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(rename_variables,[],[i_0_210]) ).

cnf(i_0_314,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),unknown,box_verdict(unknown,unknown),box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_210,i_0_313,i_0_184,i_0_279,i_0_186,i_0_188,i_0_190,i_0_192,i_0_130,i_0_246,i_0_124,i_0_125,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141,i_0_134,i_0_151,i_0_152]) ).

cnf(i_0_315,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(rename_variables,[],[i_0_210]) ).

cnf(i_0_316,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),box_verdict(unknown,unknown),unknown,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_210,i_0_313,i_0_315,i_0_184,i_0_279,i_0_186,i_0_188,i_0_190,i_0_192,i_0_130,i_0_246,i_0_124,i_0_125,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141,i_0_134,i_0_151,i_0_152,i_0_153]) ).

cnf(i_0_317,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(rename_variables,[],[i_0_210]) ).

cnf(i_0_318,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),box_verdict(unknown,unknown),box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_210,i_0_313,i_0_315,i_0_317,i_0_184,i_0_279,i_0_186,i_0_188,i_0_190,i_0_192,i_0_130,i_0_246,i_0_124,i_0_125,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141,i_0_134,i_0_151,i_0_152,i_0_153,i_0_154]) ).

cnf(i_0_319,plain,
    ~ axis_conflict(X1,X1,X1,X1),
    inference(rename_variables,[],[i_0_210]) ).

cnf(i_0_320,plain,
    ~ in_lopen(box_verdict(unknown,unknown),unknown,X1),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_210,i_0_313,i_0_315,i_0_317,i_0_184,i_0_279,i_0_186,i_0_188,i_0_190,i_0_310,i_0_192,i_0_130,i_0_246,i_0_124,i_0_125,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141,i_0_134,i_0_151,i_0_152,i_0_153,i_0_154,i_0_142]) ).

cnf(i_0_321,plain,
    ~ in_lopen(X1,X1,X2),
    inference(rename_variables,[],[i_0_190]) ).

cnf(i_0_322,plain,
    ~ in_ropen(unknown,X1,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_210,i_0_313,i_0_315,i_0_317,i_0_184,i_0_279,i_0_186,i_0_188,i_0_275,i_0_190,i_0_310,i_0_192,i_0_130,i_0_246,i_0_124,i_0_125,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141,i_0_134,i_0_151,i_0_152,i_0_153,i_0_154,i_0_142,i_0_170]) ).

cnf(i_0_323,plain,
    ~ in_ropen(X1,X2,X1),
    inference(rename_variables,[],[i_0_188]) ).

cnf(i_0_324,plain,
    ( X1 != nsup
    | ~ axis_subsumes(X1,nsup,X2,n0) ),
    inference(scs_inference,[],[i_0_118,i_0_298,i_0_182,i_0_233,i_0_237,i_0_120,i_0_289,i_0_121,i_0_283,i_0_292,i_0_295,i_0_201,i_0_203,i_0_198,i_0_210,i_0_313,i_0_315,i_0_317,i_0_184,i_0_279,i_0_186,i_0_188,i_0_275,i_0_190,i_0_310,i_0_192,i_0_130,i_0_246,i_0_124,i_0_125,i_0_90,i_0_91,i_0_93,i_0_88,i_0_119,i_0_92,i_0_95,i_0_89,i_0_94,i_0_143,i_0_172,i_0_145,i_0_146,i_0_144,i_0_96,i_0_82,i_0_98,i_0_99,i_0_100,i_0_105,i_0_80,i_0_83,i_0_104,i_0_163,i_0_141,i_0_134,i_0_151,i_0_152,i_0_153,i_0_154,i_0_142,i_0_170,i_0_137]) ).

cnf(i_0_325,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_326,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_327,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_117]) ).

cnf(i_0_328,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_329,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_330,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_331,plain,
    ~ in_closed(nsup,X1,n0),
    inference(rename_variables,[],[i_0_233]) ).

cnf(i_0_332,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_333,plain,
    ~ in_closed(n0,nsup,X1),
    inference(rename_variables,[],[i_0_235]) ).

cnf(i_0_334,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_335,plain,
    ~ in_closed(nsup,X1,n0),
    inference(rename_variables,[],[i_0_233]) ).

cnf(i_0_336,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_337,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_338,plain,
    ~ less(X1,X1),
    inference(rename_variables,[],[i_0_118]) ).

cnf(i_0_339,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_340,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_342,plain,
    ~ axis_subsumes(nsup,nsup,X1,n0),
    inference(equality_inference,[],[324]) ).

cnf(i_0_343,plain,
    ~ in_open(X1,nsup,X2),
    inference(scs_inference,[],[i_0_304,i_0_93]) ).

cnf(i_0_344,plain,
    ( less(X1,X2)
    | ~ in_open(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_93]) ).

cnf(i_0_345,plain,
    ~ in_ropen(ninf,n0,X1),
    inference(scs_inference,[],[i_0_304,i_0_297,i_0_93,i_0_88]) ).

cnf(i_0_346,plain,
    ( leq(X1,X2)
    | ~ in_ropen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_88]) ).

cnf(i_0_347,plain,
    ~ in_lopen(n0,X1,ninf),
    inference(scs_inference,[],[i_0_304,i_0_297,i_0_93,i_0_88,i_0_89]) ).

cnf(i_0_348,plain,
    ( leq(X1,X2)
    | ~ in_lopen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_89]) ).

cnf(i_0_349,plain,
    ~ in_closed(n0,X1,ninf),
    inference(scs_inference,[],[i_0_304,i_0_297,i_0_93,i_0_88,i_0_89,i_0_90]) ).

cnf(i_0_350,plain,
    ( leq(X1,X2)
    | ~ in_closed(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_90]) ).

cnf(i_0_351,plain,
    ~ in_closed(ninf,n0,X1),
    inference(scs_inference,[],[i_0_304,i_0_297,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91]) ).

cnf(i_0_352,plain,
    ( leq(X1,X2)
    | ~ in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_91]) ).

cnf(i_0_353,plain,
    ~ in_open(nsup,X1,X2),
    inference(scs_inference,[],[i_0_304,i_0_297,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92]) ).

cnf(i_0_354,plain,
    ( less(X1,X2)
    | ~ in_open(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_92]) ).

cnf(i_0_355,plain,
    ~ in_lopen(X1,nsup,X2),
    inference(scs_inference,[],[i_0_304,i_0_297,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95]) ).

cnf(i_0_356,plain,
    ( less(X1,X2)
    | ~ in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_95]) ).

cnf(i_0_357,plain,
    ~ in_ropen(nsup,X1,X2),
    inference(scs_inference,[],[i_0_304,i_0_297,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94]) ).

cnf(i_0_358,plain,
    ( less(X1,X2)
    | ~ in_ropen(X1,X3,X2) ),
    inference(rename_variables,[],[i_0_94]) ).

cnf(i_0_359,plain,
    completion_compatible(unknown,box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_304,i_0_297,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96]) ).

cnf(i_0_360,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_361,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | completion_compatible(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_362,plain,
    ~ axis_subsumes(n0,n0,nsup,X1),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_304,i_0_297,i_0_201,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82]) ).

cnf(i_0_363,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_364,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_365,plain,
    in_lopen(n0,ninf,n0),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_304,i_0_297,i_0_201,i_0_124,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99]) ).

cnf(i_0_366,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_367,plain,
    ( ~ less(X1,X2)
    | ~ leq(X2,X3)
    | in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_99]) ).

cnf(i_0_368,plain,
    in_closed(unknown,box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_297,i_0_201,i_0_124,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100]) ).

cnf(i_0_369,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_370,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_371,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),nsup,unknown,unknown),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_124,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80]) ).

cnf(i_0_372,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_373,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_374,plain,
    axis_compatible(box_verdict(unknown,unknown),nsup,unknown,unknown),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_372,i_0_124,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80,i_0_83]) ).

cnf(i_0_375,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_376,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_377,plain,
    n0 != ninf,
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_372,i_0_124,i_0_214,i_0_259,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80,i_0_83,i_0_144]) ).

cnf(i_0_378,plain,
    ~ in_open(ninf,X1,X2),
    inference(rename_variables,[],[i_0_259]) ).

cnf(i_0_379,plain,
    ~ in_open(unknown,box_verdict(unknown,unknown),X1),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_372,i_0_124,i_0_125,i_0_214,i_0_259,i_0_186,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80,i_0_83,i_0_144,i_0_145]) ).

cnf(i_0_380,plain,
    ~ in_open(X1,X1,X2),
    inference(rename_variables,[],[i_0_186]) ).

cnf(i_0_381,plain,
    ~ axis_conflict(unknown,unknown,box_verdict(unknown,unknown),box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_372,i_0_124,i_0_125,i_0_192,i_0_214,i_0_259,i_0_314,i_0_186,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80,i_0_83,i_0_144,i_0_145,i_0_151]) ).

cnf(i_0_382,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),unknown,unknown,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_372,i_0_124,i_0_125,i_0_192,i_0_214,i_0_259,i_0_314,i_0_316,i_0_186,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80,i_0_83,i_0_144,i_0_145,i_0_151,i_0_152]) ).

cnf(i_0_383,plain,
    ~ axis_conflict(unknown,box_verdict(unknown,unknown),unknown,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_372,i_0_124,i_0_125,i_0_192,i_0_214,i_0_259,i_0_312,i_0_314,i_0_316,i_0_186,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80,i_0_83,i_0_144,i_0_145,i_0_151,i_0_152,i_0_153]) ).

cnf(i_0_384,plain,
    ~ axis_conflict(unknown,box_verdict(unknown,unknown),box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_372,i_0_124,i_0_125,i_0_192,i_0_214,i_0_259,i_0_312,i_0_314,i_0_316,i_0_186,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80,i_0_83,i_0_144,i_0_145,i_0_151,i_0_152,i_0_153,i_0_154]) ).

cnf(i_0_385,plain,
    ( X1 != nsup
    | ~ axis_subsumes(n0,n0,X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_235,i_0_177,i_0_360,i_0_366,i_0_304,i_0_294,i_0_297,i_0_201,i_0_363,i_0_372,i_0_124,i_0_125,i_0_192,i_0_214,i_0_259,i_0_312,i_0_314,i_0_316,i_0_186,i_0_93,i_0_88,i_0_89,i_0_90,i_0_91,i_0_92,i_0_95,i_0_94,i_0_96,i_0_82,i_0_99,i_0_100,i_0_80,i_0_83,i_0_144,i_0_145,i_0_151,i_0_152,i_0_153,i_0_154,i_0_139]) ).

cnf(i_0_386,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_387,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_388,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X1)
    | X1 = X2 ),
    inference(rename_variables,[],[i_0_108]) ).

cnf(i_0_389,plain,
    ~ in_open(ninf,X1,X2),
    inference(rename_variables,[],[i_0_259]) ).

cnf(i_0_391,plain,
    ~ axis_subsumes(n0,n0,nsup,X1),
    inference(equality_inference,[],[385]) ).

cnf(i_0_392,plain,
    completion_compatible(unknown,box_verdict(unknown,unknown),box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_96]) ).

cnf(i_0_393,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | completion_compatible(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_394,plain,
    in_closed(unknown,box_verdict(unknown,unknown),box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_96,i_0_100]) ).

cnf(i_0_395,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_396,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),unknown,box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_96,i_0_100,i_0_80]) ).

cnf(i_0_397,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_398,plain,
    axis_compatible(box_verdict(unknown,unknown),unknown,box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_96,i_0_100,i_0_80,i_0_83]) ).

cnf(i_0_399,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_400,plain,
    ~ axis_conflict(unknown,nsup,box_verdict(unknown,unknown),nsup),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_192,i_0_300,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151]) ).

cnf(i_0_401,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),nsup,unknown,nsup),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_192,i_0_300,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153]) ).

cnf(i_0_402,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),nsup,unknown,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_125,i_0_192,i_0_300,i_0_371,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153,i_0_154]) ).

cnf(i_0_403,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),box_verdict(unknown,unknown),unknown,unknown),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_125,i_0_192,i_0_300,i_0_221,i_0_371,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153,i_0_154,i_0_152]) ).

cnf(i_0_404,plain,
    ( in_closed(unknown,X1,X2)
    | ~ axis_subsumes(box_verdict(unknown,unknown),unknown,X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_125,i_0_192,i_0_300,i_0_221,i_0_371,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153,i_0_154,i_0_152,i_0_82]) ).

cnf(i_0_405,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_406,plain,
    ( ~ leq(conflict,compatible)
    | less(conflict,compatible) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_125,i_0_192,i_0_300,i_0_221,i_0_371,i_0_131,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153,i_0_154,i_0_152,i_0_82,i_0_109]) ).

cnf(i_0_407,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_408,plain,
    ( less(compatible,conflict)
    | less(conflict,compatible) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_368,i_0_125,i_0_192,i_0_300,i_0_221,i_0_371,i_0_131,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153,i_0_154,i_0_152,i_0_82,i_0_109,i_0_117]) ).

cnf(i_0_409,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_117]) ).

cnf(i_0_410,plain,
    ( X1 != n0
    | ~ axis_subsumes(n0,X1,nsup,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_362,i_0_368,i_0_125,i_0_192,i_0_300,i_0_221,i_0_371,i_0_131,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153,i_0_154,i_0_152,i_0_82,i_0_109,i_0_117,i_0_138]) ).

cnf(i_0_411,plain,
    ( X1 != n0
    | ~ axis_subsumes(nsup,nsup,X2,X1) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_362,i_0_368,i_0_285,i_0_125,i_0_192,i_0_300,i_0_221,i_0_371,i_0_131,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153,i_0_154,i_0_152,i_0_82,i_0_109,i_0_117,i_0_138,i_0_140]) ).

cnf(i_0_412,plain,
    ( X1 != n0
    | ~ axis_subsumes(X1,n0,nsup,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_362,i_0_368,i_0_285,i_0_125,i_0_192,i_0_300,i_0_221,i_0_371,i_0_131,i_0_96,i_0_100,i_0_80,i_0_83,i_0_151,i_0_153,i_0_154,i_0_152,i_0_82,i_0_109,i_0_117,i_0_138,i_0_140,i_0_137]) ).

cnf(i_0_413,plain,
    ~ axis_subsumes(n0,n0,nsup,X1),
    inference(equality_inference,[],[410]) ).

cnf(i_0_414,plain,
    ~ axis_subsumes(nsup,nsup,X1,n0),
    inference(equality_inference,[],[411]) ).

cnf(i_0_415,plain,
    ~ axis_subsumes(n0,n0,nsup,X1),
    inference(equality_inference,[],[412]) ).

cnf(i_0_416,plain,
    completion_compatible(box_verdict(unknown,unknown),unknown,unknown),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_96]) ).

cnf(i_0_417,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | completion_compatible(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_418,plain,
    in_closed(box_verdict(unknown,unknown),unknown,unknown),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_96,i_0_100]) ).

cnf(i_0_419,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_420,plain,
    axis_compatible(box_verdict(unknown,unknown),box_verdict(unknown,unknown),unknown,unknown),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_394,i_0_201,i_0_96,i_0_100,i_0_83]) ).

cnf(i_0_421,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_422,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_423,plain,
    ~ axis_conflict(unknown,nsup,unknown,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_394,i_0_201,i_0_192,i_0_402,i_0_96,i_0_100,i_0_83,i_0_151]) ).

cnf(i_0_424,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),nsup,box_verdict(unknown,unknown),box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_394,i_0_201,i_0_125,i_0_192,i_0_402,i_0_96,i_0_100,i_0_83,i_0_151,i_0_153]) ).

cnf(i_0_425,plain,
    ~ axis_conflict(unknown,nsup,unknown,unknown),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_394,i_0_201,i_0_125,i_0_192,i_0_402,i_0_96,i_0_100,i_0_83,i_0_151,i_0_153,i_0_154]) ).

cnf(i_0_426,plain,
    ( in_closed(unknown,X1,X2)
    | ~ axis_subsumes(box_verdict(unknown,unknown),box_verdict(unknown,unknown),X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_394,i_0_201,i_0_125,i_0_192,i_0_402,i_0_96,i_0_100,i_0_83,i_0_151,i_0_153,i_0_154,i_0_82]) ).

cnf(i_0_427,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_428,plain,
    ( ~ axis_conflict(box_verdict(unknown,unknown),box_verdict(unknown,unknown),X1,X2)
    | ~ axis_subsumes(box_verdict(unknown,unknown),box_verdict(unknown,unknown),X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_394,i_0_201,i_0_125,i_0_192,i_0_402,i_0_96,i_0_100,i_0_83,i_0_151,i_0_153,i_0_154,i_0_82,i_0_80]) ).

cnf(i_0_429,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_430,plain,
    ( ~ axis_conflict(box_verdict(unknown,unknown),unknown,X1,X2)
    | ~ axis_subsumes(box_verdict(unknown,unknown),box_verdict(unknown,unknown),X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_394,i_0_201,i_0_125,i_0_192,i_0_402,i_0_96,i_0_100,i_0_83,i_0_151,i_0_153,i_0_154,i_0_82,i_0_80,i_0_152]) ).

cnf(i_0_431,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_432,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_433,plain,
    ~ in_lopen(nsup,X1,n0),
    inference(rename_variables,[],[i_0_231]) ).

cnf(i_0_434,plain,
    ( X1 != n0
    | less(conflict,unknown)
    | ~ axis_subsumes(box_verdict(unknown,unknown),box_verdict(unknown,unknown),X2,X3)
    | ~ in_ropen(X1,nsup,X4) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_120,i_0_237,i_0_231,i_0_229,i_0_309,i_0_322,i_0_362,i_0_365,i_0_394,i_0_201,i_0_125,i_0_192,i_0_402,i_0_127,i_0_130,i_0_96,i_0_100,i_0_83,i_0_151,i_0_153,i_0_154,i_0_82,i_0_80,i_0_152,i_0_109,i_0_164,i_0_163,i_0_172,i_0_142,i_0_141,i_0_170]) ).

cnf(i_0_435,plain,
    ( ~ axis_subsumes(box_verdict(unknown,unknown),box_verdict(unknown,unknown),X1,X2)
    | ~ in_ropen(n0,nsup,X3)
    | less(conflict,unknown) ),
    inference(equality_inference,[],[434]) ).

cnf(i_0_436,plain,
    completion_compatible(box_verdict(unknown,unknown),ninf,unknown),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_96]) ).

cnf(i_0_437,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_438,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | completion_compatible(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_439,plain,
    in_closed(box_verdict(unknown,unknown),ninf,unknown),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_96,i_0_100]) ).

cnf(i_0_440,plain,
    leq(ninf,X1),
    inference(rename_variables,[],[i_0_120]) ).

cnf(i_0_441,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_442,plain,
    axis_compatible(ninf,unknown,ninf,unknown),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_96,i_0_100,i_0_83]) ).

cnf(i_0_443,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_444,plain,
    ~ axis_conflict(ninf,unknown,ninf,unknown),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_96,i_0_100,i_0_83,i_0_80]) ).

cnf(i_0_445,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_446,plain,
    ~ axis_conflict(unknown,nsup,unknown,nsup),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_192,i_0_400,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153]) ).

cnf(i_0_447,plain,
    ~ axis_conflict(unknown,nsup,box_verdict(unknown,unknown),box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_192,i_0_424,i_0_400,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151]) ).

cnf(i_0_448,plain,
    ~ axis_conflict(ninf,box_verdict(unknown,unknown),ninf,unknown),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_125,i_0_192,i_0_424,i_0_400,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152]) ).

cnf(i_0_449,plain,
    ~ axis_conflict(box_verdict(unknown,unknown),nsup,box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_125,i_0_192,i_0_424,i_0_400,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154]) ).

cnf(i_0_450,plain,
    ( in_closed(unknown,X1,X2)
    | ~ axis_subsumes(box_verdict(unknown,unknown),nsup,X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_294,i_0_125,i_0_192,i_0_424,i_0_400,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154,i_0_82]) ).

cnf(i_0_451,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_452,plain,
    ( ~ leq(compatible,box_verdict(unknown,unknown))
    | less(compatible,box_verdict(unknown,unknown)) ),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_294,i_0_125,i_0_192,i_0_424,i_0_400,i_0_219,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154,i_0_82,i_0_109]) ).

cnf(i_0_453,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_454,plain,
    ( less(box_verdict(unknown,unknown),compatible)
    | less(compatible,box_verdict(unknown,unknown)) ),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_294,i_0_125,i_0_192,i_0_424,i_0_400,i_0_219,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154,i_0_82,i_0_109,i_0_117]) ).

cnf(i_0_455,plain,
    ( X1 = X2
    | less(X2,X1)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_117]) ).

cnf(i_0_456,plain,
    ( X1 != nsup
    | ~ axis_subsumes(nsup,X1,X2,n0) ),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_294,i_0_285,i_0_125,i_0_192,i_0_424,i_0_400,i_0_219,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154,i_0_82,i_0_109,i_0_117,i_0_138]) ).

cnf(i_0_457,plain,
    ( is_verdict(X1)
    | conflict != X1 ),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_294,i_0_285,i_0_125,i_0_192,i_0_424,i_0_400,i_0_128,i_0_219,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154,i_0_82,i_0_109,i_0_117,i_0_138,i_0_147]) ).

cnf(i_0_458,plain,
    ( less(compatible,box_verdict(unknown,unknown))
    | ~ leq(compatible,unknown) ),
    inference(scs_inference,[],[i_0_182,i_0_120,i_0_437,i_0_294,i_0_285,i_0_125,i_0_192,i_0_424,i_0_400,i_0_128,i_0_219,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154,i_0_82,i_0_109,i_0_117,i_0_138,i_0_147,i_0_164]) ).

cnf(i_0_459,plain,
    ( unknown != compatible
    | less(compatible,box_verdict(unknown,unknown)) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_120,i_0_437,i_0_294,i_0_285,i_0_125,i_0_192,i_0_424,i_0_400,i_0_128,i_0_219,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154,i_0_82,i_0_109,i_0_117,i_0_138,i_0_147,i_0_164,i_0_163]) ).

cnf(i_0_460,plain,
    ( X1 != nsup
    | less(compatible,box_verdict(unknown,unknown))
    | ~ in_lopen(X1,X2,ninf) ),
    inference(scs_inference,[],[i_0_182,i_0_263,i_0_120,i_0_437,i_0_269,i_0_294,i_0_285,i_0_125,i_0_192,i_0_424,i_0_400,i_0_128,i_0_219,i_0_96,i_0_100,i_0_83,i_0_80,i_0_153,i_0_151,i_0_152,i_0_154,i_0_109,i_0_164,i_0_163,i_0_141]) ).

cnf(i_0_461,plain,
    ~ axis_subsumes(nsup,nsup,X1,n0),
    inference(equality_inference,[],[456]) ).

cnf(i_0_462,plain,
    is_verdict(conflict),
    inference(equality_inference,[],[457]) ).

cnf(i_0_463,plain,
    ( less(compatible,box_verdict(unknown,unknown))
    | ~ in_lopen(nsup,X1,ninf) ),
    inference(equality_inference,[],[460]) ).

cnf(i_0_464,plain,
    completion_compatible(box_verdict(unknown,unknown),box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_96]) ).

cnf(i_0_465,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_466,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | completion_compatible(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_467,plain,
    in_closed(box_verdict(unknown,unknown),box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_465,i_0_96,i_0_100]) ).

cnf(i_0_468,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_469,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_470,plain,
    ~ axis_conflict(unknown,nsup,box_verdict(unknown,unknown),unknown),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_465,i_0_192,i_0_449,i_0_96,i_0_100,i_0_151]) ).

cnf(i_0_471,plain,
    ~ axis_conflict(ninf,box_verdict(unknown,unknown),ninf,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_465,i_0_125,i_0_192,i_0_449,i_0_448,i_0_96,i_0_100,i_0_151,i_0_154]) ).

cnf(i_0_472,plain,
    ( in_closed(box_verdict(unknown,unknown),X1,X2)
    | ~ axis_subsumes(unknown,unknown,X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_465,i_0_418,i_0_125,i_0_192,i_0_449,i_0_448,i_0_96,i_0_100,i_0_151,i_0_154,i_0_82]) ).

cnf(i_0_473,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_474,plain,
    ( axis_compatible(unknown,unknown,X1,X2)
    | ~ axis_subsumes(unknown,unknown,X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_465,i_0_418,i_0_125,i_0_192,i_0_449,i_0_448,i_0_96,i_0_100,i_0_151,i_0_154,i_0_82,i_0_83]) ).

cnf(i_0_475,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_476,plain,
    ( ~ axis_conflict(unknown,unknown,X1,X2)
    | ~ axis_subsumes(unknown,unknown,X1,X2) ),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_465,i_0_418,i_0_125,i_0_192,i_0_449,i_0_448,i_0_96,i_0_100,i_0_151,i_0_154,i_0_82,i_0_83,i_0_80]) ).

cnf(i_0_477,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_478,plain,
    ( ~ axis_conflict(unknown,unknown,box_verdict(unknown,unknown),X1)
    | ~ axis_subsumes(unknown,unknown,unknown,X1) ),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_465,i_0_418,i_0_125,i_0_192,i_0_449,i_0_448,i_0_96,i_0_100,i_0_151,i_0_154,i_0_82,i_0_83,i_0_80,i_0_153]) ).

cnf(i_0_479,plain,
    ( ~ axis_conflict(ninf,unknown,ninf,box_verdict(unknown,unknown))
    | ~ axis_subsumes(unknown,unknown,unknown,X1) ),
    inference(scs_inference,[],[i_0_182,i_0_177,i_0_465,i_0_418,i_0_125,i_0_192,i_0_449,i_0_448,i_0_96,i_0_100,i_0_151,i_0_154,i_0_82,i_0_83,i_0_80,i_0_153,i_0_152]) ).

cnf(i_0_480,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_482,plain,
    in_lopen(n0,ninf,nsup),
    inference(scs_inference,[],[i_0_121,i_0_124,i_0_99]) ).

cnf(i_0_483,plain,
    leq(X1,nsup),
    inference(rename_variables,[],[i_0_121]) ).

cnf(i_0_484,plain,
    ( ~ less(X1,X2)
    | ~ leq(X2,X3)
    | in_lopen(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_99]) ).

cnf(i_0_485,plain,
    ~ axis_conflict(ninf,unknown,ninf,box_verdict(unknown,unknown)),
    inference(scs_inference,[],[i_0_121,i_0_124,i_0_192,i_0_471,i_0_99,i_0_152]) ).

cnf(i_0_486,plain,
    ( in_closed(box_verdict(unknown,unknown),X1,X2)
    | ~ axis_subsumes(ninf,unknown,X1,X2) ),
    inference(scs_inference,[],[i_0_121,i_0_439,i_0_124,i_0_192,i_0_471,i_0_99,i_0_152,i_0_82]) ).

cnf(i_0_487,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_488,plain,
    ( axis_compatible(ninf,unknown,X1,X2)
    | ~ axis_subsumes(ninf,unknown,X1,X2) ),
    inference(scs_inference,[],[i_0_121,i_0_439,i_0_124,i_0_192,i_0_471,i_0_99,i_0_152,i_0_82,i_0_83]) ).

cnf(i_0_489,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_490,plain,
    ( ~ axis_conflict(ninf,unknown,X1,X2)
    | ~ axis_subsumes(ninf,unknown,X1,X2) ),
    inference(scs_inference,[],[i_0_121,i_0_439,i_0_124,i_0_192,i_0_471,i_0_99,i_0_152,i_0_82,i_0_83,i_0_80]) ).

cnf(i_0_491,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_492,plain,
    ( ~ axis_conflict(ninf,unknown,box_verdict(unknown,unknown),X1)
    | ~ axis_subsumes(ninf,unknown,unknown,X1) ),
    inference(scs_inference,[],[i_0_121,i_0_439,i_0_124,i_0_125,i_0_192,i_0_471,i_0_99,i_0_152,i_0_82,i_0_83,i_0_80,i_0_153]) ).

cnf(i_0_493,plain,
    ( ~ axis_conflict(ninf,unknown,unknown,box_verdict(unknown,unknown))
    | ~ axis_subsumes(ninf,unknown,unknown,unknown) ),
    inference(scs_inference,[],[i_0_121,i_0_439,i_0_124,i_0_125,i_0_192,i_0_471,i_0_99,i_0_152,i_0_82,i_0_83,i_0_80,i_0_153,i_0_154]) ).

cnf(i_0_494,plain,
    ( X1 = X2
    | ~ leq(X1,X2)
    | less(X1,X2) ),
    inference(rename_variables,[],[i_0_109]) ).

cnf(i_0_496,plain,
    completion_compatible(nsup,X1,nsup),
    inference(scs_inference,[],[i_0_177,i_0_121,i_0_96]) ).

cnf(i_0_497,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_498,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | completion_compatible(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_96]) ).

cnf(i_0_499,plain,
    in_closed(nsup,X1,nsup),
    inference(scs_inference,[],[i_0_177,i_0_497,i_0_121,i_0_96,i_0_100]) ).

cnf(i_0_500,plain,
    leq(X1,X1),
    inference(rename_variables,[],[i_0_177]) ).

cnf(i_0_501,plain,
    ( ~ leq(X1,X2)
    | ~ leq(X2,X3)
    | in_closed(X2,X1,X3) ),
    inference(rename_variables,[],[i_0_100]) ).

cnf(i_0_502,plain,
    ~ axis_subsumes(X1,nsup,X2,n0),
    inference(scs_inference,[],[i_0_233,i_0_177,i_0_497,i_0_121,i_0_96,i_0_100,i_0_82]) ).

cnf(i_0_503,plain,
    ( ~ in_closed(X1,X2,X3)
    | in_closed(X1,X4,X5)
    | ~ axis_subsumes(X2,X3,X4,X5) ),
    inference(rename_variables,[],[i_0_82]) ).

cnf(i_0_504,plain,
    axis_compatible(nsup,nsup,X1,nsup),
    inference(scs_inference,[],[i_0_233,i_0_177,i_0_497,i_0_121,i_0_201,i_0_96,i_0_100,i_0_82,i_0_83]) ).

cnf(i_0_505,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_506,plain,
    ( ~ in_closed(X1,X2,X3)
    | axis_compatible(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_83]) ).

cnf(i_0_507,plain,
    ~ axis_conflict(nsup,nsup,X1,nsup),
    inference(scs_inference,[],[i_0_233,i_0_177,i_0_497,i_0_121,i_0_201,i_0_505,i_0_96,i_0_100,i_0_82,i_0_83,i_0_80]) ).

cnf(i_0_508,plain,
    in_closed(X1,X1,X1),
    inference(rename_variables,[],[i_0_201]) ).

cnf(i_0_509,plain,
    ( ~ in_closed(X1,X2,X3)
    | ~ axis_conflict(X4,X5,X2,X3)
    | ~ in_closed(X1,X4,X5) ),
    inference(rename_variables,[],[i_0_80]) ).

cnf(i_0_510,plain,
    $false,
    inference(scs_inference,[],[i_0_120,i_0_233,i_0_177,i_0_497,i_0_500,i_0_121,i_0_201,i_0_505,i_0_96,i_0_100,i_0_82,i_0_83,i_0_80,i_0_87]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : MGT070+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.11  % 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
% 0.15/0.32  % Computer : n001.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 23:33:33 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 0.52/1.61  % Version  : CSE_E---1.7
% 0.52/1.61  % Problem  : theBenchmark.p
% 0.52/1.61  % SZS status Theorem for theBenchmark.p
% 0.52/1.61  % SZS output start CNFRefutation
% See solution above
% 1.43/2.52  % Total time : 1.273s
%------------------------------------------------------------------------------