TSTP Solution File: GEO558+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:32:59 EDT 2023

% Result   : Theorem 2.33s 0.70s
% Output   : CNFRefutation 2.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  181 (  55 unt;   0 def)
%            Number of atoms       :  386 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  341 ( 136   ~; 133   |;  38   &)
%                                         (   0 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :   13 (  13 usr;  12 con; 0-4 aty)
%            Number of variables   :  591 (  27 sgn; 318   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012018,conjecture,
    ! [X1,X3,X19,X8,X17,X2,X13,X20,X7,X21,X22,X23] :
      ( ( circle(X8,X1,X3,X19)
        & circle(X8,X1,X17,X21)
        & coll(X2,X1,X19)
        & coll(X2,X3,X17)
        & circle(X13,X1,X3,X2)
        & circle(X20,X19,X17,X2)
        & circle(X13,X1,X7,X22)
        & circle(X20,X19,X7,X23) )
     => perp(X2,X7,X7,X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',exemplo6GDDFULL012018) ).

fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD9) ).

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleX11) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD8) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD2) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD1) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD4) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD3) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD19) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD40) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD5) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD39) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD66) ).

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD42b) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD15) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD14) ).

fof(ruleD51,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X7,X2,X3)
        & eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
     => midp(X7,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD51) ).

fof(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD41) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD16) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD46) ).

fof(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X4)
        & cyclic(X1,X2,X3,X5) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD17) ).

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & para(X5,X6,X2,X3)
        & coll(X6,X1,X3) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD45) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD11) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD68) ).

fof(ruleD75,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
        & cong(X9,X10,X11,X12) )
     => cong(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD75) ).

fof(ruleD70,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
      ( ( midp(X7,X1,X2)
        & midp(X17,X3,X4) )
     => eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD70) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD64) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD24) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD23) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD67) ).

fof(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD74) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD56) ).

fof(ruleD10,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p',ruleD10) ).

fof(c_0_33,negated_conjecture,
    ~ ! [X1,X3,X19,X8,X17,X2,X13,X20,X7,X21,X22,X23] :
        ( ( circle(X8,X1,X3,X19)
          & circle(X8,X1,X17,X21)
          & coll(X2,X1,X19)
          & coll(X2,X3,X17)
          & circle(X13,X1,X3,X2)
          & circle(X20,X19,X17,X2)
          & circle(X13,X1,X7,X22)
          & circle(X20,X19,X7,X23) )
       => perp(X2,X7,X7,X8) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012018]) ).

fof(c_0_34,plain,
    ! [X44,X45,X46,X47,X48,X49] :
      ( ~ perp(X44,X45,X46,X47)
      | ~ perp(X46,X47,X48,X49)
      | para(X44,X45,X48,X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_35,plain,
    ! [X129,X130,X131,X132] :
      ( ~ circle(X132,X129,X130,X131)
      | perp(esk19_4(X129,X130,X131,X132),X129,X129,X132) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_36,plain,
    ! [X40,X41,X42,X43] :
      ( ~ perp(X40,X41,X42,X43)
      | perp(X42,X43,X40,X41) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_37,plain,
    ! [X186,X187,X188] :
      ( ~ coll(X186,X187,X188)
      | coll(X187,X186,X188) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

fof(c_0_38,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & circle(esk4_0,esk1_0,esk5_0,esk10_0)
    & coll(esk6_0,esk1_0,esk3_0)
    & coll(esk6_0,esk2_0,esk5_0)
    & circle(esk7_0,esk1_0,esk2_0,esk6_0)
    & circle(esk8_0,esk3_0,esk5_0,esk6_0)
    & circle(esk7_0,esk1_0,esk9_0,esk11_0)
    & circle(esk8_0,esk3_0,esk9_0,esk12_0)
    & ~ perp(esk6_0,esk9_0,esk9_0,esk4_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).

cnf(c_0_39,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_40,plain,
    ( perp(esk19_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_41,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_42,plain,
    ! [X183,X184,X185] :
      ( ~ coll(X183,X184,X185)
      | coll(X183,X185,X184) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_43,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk6_0,esk2_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_45,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk19_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,plain,
    ( perp(X1,X2,esk19_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_41,c_0_40]) ).

cnf(c_0_47,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    coll(esk2_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk6_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_50,plain,
    ! [X262,X263,X264,X265] :
      ( ~ para(X262,X263,X264,X265)
      | para(X262,X263,X265,X264) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_51,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_52,negated_conjecture,
    circle(esk8_0,esk3_0,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_53,plain,
    ! [X189,X190,X191,X192] :
      ( ~ coll(X189,X190,X191)
      | ~ coll(X189,X190,X192)
      | coll(X191,X192,X189) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_54,negated_conjecture,
    coll(esk2_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk1_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_49]) ).

fof(c_0_56,plain,
    ! [X330,X331,X332,X333,X334,X335,X336,X337] :
      ( ~ eqangle(X330,X331,X332,X333,X334,X335,X336,X337)
      | eqangle(X332,X333,X330,X331,X336,X337,X334,X335) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_57,plain,
    ! [X282,X283,X284,X285,X286,X287] :
      ( ~ para(X282,X283,X284,X285)
      | eqangle(X282,X283,X286,X287,X284,X285,X286,X287) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_58,plain,
    ! [X266,X267,X268,X269] :
      ( ~ para(X266,X267,X268,X269)
      | para(X268,X269,X266,X267) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_59,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_60,negated_conjecture,
    para(esk3_0,esk8_0,esk3_0,esk8_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_61,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk5_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_43,c_0_54]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk1_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_47,c_0_55]) ).

fof(c_0_64,plain,
    ! [X276,X277,X278,X279,X280,X281] :
      ( ~ eqangle(X276,X277,X280,X281,X278,X279,X280,X281)
      | para(X276,X277,X278,X279) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_65,plain,
    ( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_66,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_67,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_68,negated_conjecture,
    para(esk3_0,esk8_0,esk8_0,esk3_0),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_69,negated_conjecture,
    ( coll(X1,esk6_0,esk5_0)
    | ~ coll(esk5_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk3_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_43,c_0_63]) ).

cnf(c_0_71,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    para(esk8_0,esk3_0,esk3_0,esk8_0),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk6_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_69,c_0_62]) ).

cnf(c_0_75,negated_conjecture,
    ( coll(X1,esk6_0,esk3_0)
    | ~ coll(esk3_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_70]) ).

fof(c_0_76,plain,
    ! [X220,X221,X222] :
      ( ~ para(X220,X221,X220,X222)
      | coll(X220,X221,X222) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_77,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    para(esk8_0,esk3_0,esk8_0,esk3_0),
    inference(spm,[status(thm)],[c_0_59,c_0_73]) ).

cnf(c_0_79,negated_conjecture,
    ( coll(X1,esk5_0,esk6_0)
    | ~ coll(esk6_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_75,c_0_70]) ).

cnf(c_0_81,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_82,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    coll(esk3_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk3_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_47,c_0_83]) ).

fof(c_0_86,plain,
    ! [X197,X198,X199,X200] :
      ( ~ eqangle(X199,X197,X199,X198,X200,X197,X200,X198)
      | ~ coll(X199,X200,X198)
      | cyclic(X197,X198,X199,X200) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_87,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_43,c_0_84]) ).

cnf(c_0_88,negated_conjecture,
    ( coll(X1,esk3_0,esk6_0)
    | ~ coll(esk6_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_49]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk6_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_47,c_0_44]) ).

cnf(c_0_90,negated_conjecture,
    coll(esk6_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_43,c_0_85]) ).

cnf(c_0_91,plain,
    ( cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ coll(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_92,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_47,c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk3_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_88,c_0_49]) ).

cnf(c_0_94,negated_conjecture,
    ( coll(X1,esk2_0,esk6_0)
    | ~ coll(esk6_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_89]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk6_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_47,c_0_90]) ).

fof(c_0_96,plain,
    ! [X440,X441,X442,X443] :
      ( ~ cyclic(X440,X441,X442,X443)
      | cyclic(X440,X442,X441,X443) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_97,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_91,c_0_66]) ).

cnf(c_0_98,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_92]),c_0_92])]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk3_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_47,c_0_93]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk3_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

fof(c_0_101,plain,
    ! [X436,X437,X438,X439] :
      ( ~ cyclic(X436,X437,X438,X439)
      | cyclic(X436,X437,X439,X438) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_102,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_103,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_82])]),c_0_98])]) ).

fof(c_0_104,plain,
    ! [X164,X165,X166,X167,X168] :
      ( ~ circle(X167,X164,X165,X166)
      | ~ coll(X168,X165,X166)
      | ~ eqangle(X164,X165,X164,X166,X167,X165,X167,X168)
      | midp(X168,X165,X166) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).

fof(c_0_105,plain,
    ! [X366,X367,X368,X369] :
      ( ~ cyclic(X366,X367,X368,X369)
      | eqangle(X368,X366,X368,X367,X369,X366,X369,X367) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

cnf(c_0_106,negated_conjecture,
    ( coll(X1,esk3_0,esk3_0)
    | ~ coll(esk3_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_99]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk3_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_47,c_0_100]) ).

fof(c_0_108,plain,
    ! [X444,X445,X446,X447] :
      ( ~ cyclic(X444,X445,X446,X447)
      | cyclic(X445,X444,X446,X447) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_109,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_110,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

fof(c_0_111,plain,
    ! [X376,X377,X378] :
      ( ~ cong(X378,X376,X378,X377)
      | eqangle(X378,X376,X376,X377,X376,X377,X378,X377) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_112,plain,
    ( midp(X5,X3,X4)
    | ~ circle(X1,X2,X3,X4)
    | ~ coll(X5,X3,X4)
    | ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_113,plain,
    ( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_114,negated_conjecture,
    coll(esk2_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

fof(c_0_115,plain,
    ! [X448,X449,X450,X451,X452] :
      ( ~ cyclic(X448,X449,X450,X451)
      | ~ cyclic(X448,X449,X450,X452)
      | cyclic(X449,X450,X451,X452) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_116,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_117,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_118,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_119,plain,
    ( midp(X1,X2,X1)
    | ~ cyclic(X2,X1,X3,X4)
    | ~ circle(X4,X3,X2,X1)
    | ~ coll(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_120,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_114]) ).

cnf(c_0_122,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_123,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

fof(c_0_124,plain,
    ! [X201,X202,X203,X204,X205] :
      ( ~ midp(X204,X201,X202)
      | ~ para(X204,X205,X202,X203)
      | ~ coll(X205,X201,X203)
      | midp(X205,X201,X203) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_125,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_118]) ).

fof(c_0_126,plain,
    ! [X427,X428,X429] :
      ( ~ midp(X429,X428,X427)
      | midp(X429,X427,X428) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_127,negated_conjecture,
    ( midp(esk3_0,esk2_0,esk3_0)
    | ~ cyclic(esk2_0,esk3_0,esk1_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]) ).

cnf(c_0_128,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_123])]) ).

cnf(c_0_129,plain,
    ( midp(X4,X2,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X1,X4,X3,X5)
    | ~ coll(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_130,plain,
    ( para(X1,X1,X2,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_59,c_0_125]) ).

fof(c_0_131,plain,
    ! [X416,X417,X418] :
      ( ~ midp(X416,X417,X418)
      | cong(X416,X417,X416,X418) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_132,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_133,negated_conjecture,
    midp(esk3_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).

cnf(c_0_134,plain,
    ( midp(X1,X2,X1)
    | ~ cong(X1,X1,X1,X3)
    | ~ midp(X1,X2,X3)
    | ~ coll(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_135,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

cnf(c_0_136,negated_conjecture,
    midp(esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

fof(c_0_137,plain,
    ! [X419,X420,X421,X422,X423,X424,X425,X426] :
      ( ~ eqratio(X419,X420,X421,X422,X423,X424,X425,X426)
      | ~ cong(X423,X424,X425,X426)
      | cong(X419,X420,X421,X422) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_138,plain,
    ! [X430,X431,X432,X433,X434,X435] :
      ( ~ midp(X434,X430,X431)
      | ~ midp(X435,X432,X433)
      | eqratio(X434,X430,X430,X431,X435,X432,X432,X433) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

fof(c_0_139,plain,
    ! [X302,X303,X304,X305,X306] :
      ( ~ midp(X306,X302,X303)
      | ~ para(X302,X304,X303,X305)
      | ~ para(X302,X305,X303,X304)
      | midp(X306,X304,X305) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_140,plain,
    ( midp(X1,X2,X1)
    | ~ cong(X1,X1,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_87])]) ).

cnf(c_0_141,negated_conjecture,
    cong(esk3_0,esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_142,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ cong(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_143,plain,
    ( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_144,plain,
    ( midp(X1,X4,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X2,X4,X3,X5)
    | ~ para(X2,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_145,negated_conjecture,
    ( midp(esk3_0,X1,esk3_0)
    | ~ midp(esk3_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_146,plain,
    ( cong(X1,X2,X2,X3)
    | ~ cong(X4,X5,X5,X6)
    | ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_147,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_82]),c_0_82])]) ).

cnf(c_0_148,negated_conjecture,
    midp(esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_145,c_0_136]) ).

fof(c_0_149,plain,
    ! [X394,X395,X396,X397] :
      ( ~ cong(X394,X395,X396,X397)
      | cong(X396,X397,X394,X395) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_150,negated_conjecture,
    ( cong(X1,X2,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_141]),c_0_136])]) ).

cnf(c_0_151,negated_conjecture,
    midp(esk3_0,X1,X1),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

fof(c_0_152,plain,
    ! [X390,X391,X392,X393] :
      ( ~ cong(X390,X391,X392,X393)
      | cong(X390,X391,X393,X392) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_153,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_154,negated_conjecture,
    cong(esk3_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

fof(c_0_155,plain,
    ! [X223,X224,X225] :
      ( ~ cong(X223,X224,X223,X225)
      | ~ coll(X223,X224,X225)
      | midp(X223,X224,X225) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_156,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_157,negated_conjecture,
    cong(X1,X1,esk3_0,X1),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_158,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_159,negated_conjecture,
    cong(X1,X1,X1,esk3_0),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_160,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_98])]) ).

cnf(c_0_161,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X1,X2,esk3_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_159]) ).

cnf(c_0_162,negated_conjecture,
    midp(X1,X1,esk3_0),
    inference(spm,[status(thm)],[c_0_160,c_0_159]) ).

fof(c_0_163,plain,
    ! [X94,X95,X96,X97,X98,X99,X100,X101] :
      ( ~ eqangle(X94,X95,X96,X97,X98,X99,X100,X101)
      | ~ perp(X98,X99,X100,X101)
      | perp(X94,X95,X96,X97) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])]) ).

cnf(c_0_164,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_165,plain,
    ( perp(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ perp(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

fof(c_0_166,plain,
    ! [X78,X79,X80,X81] :
      ( ~ cong(X78,X80,X79,X80)
      | ~ cong(X78,X81,X79,X81)
      | perp(X78,X79,X80,X81) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_167,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_147,c_0_164]) ).

fof(c_0_168,plain,
    ! [X50,X51,X52,X53,X54,X55] :
      ( ~ para(X50,X51,X52,X53)
      | ~ perp(X52,X53,X54,X55)
      | perp(X50,X51,X54,X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

cnf(c_0_169,plain,
    ( perp(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ perp(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_165,c_0_113]) ).

cnf(c_0_170,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_171,negated_conjecture,
    cong(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_135,c_0_167]) ).

cnf(c_0_172,plain,
    ( perp(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_173,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_59,c_0_82]) ).

cnf(c_0_174,plain,
    ( perp(X1,X2,X1,X3)
    | ~ perp(X4,X2,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_128])]) ).

cnf(c_0_175,negated_conjecture,
    perp(X1,X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_171])]) ).

cnf(c_0_176,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_177,negated_conjecture,
    perp(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_178,negated_conjecture,
    ~ perp(esk6_0,esk9_0,esk9_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_179,negated_conjecture,
    perp(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_180,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.11  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n001.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 07:36:07 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order theorem proving
% 0.15/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.sDeOvFfxkL/E---3.1_28737.p
% 2.33/0.70  # Version: 3.1pre001
% 2.33/0.70  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.33/0.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.70  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.33/0.70  # Starting new_bool_3 with 300s (1) cores
% 2.33/0.70  # Starting new_bool_1 with 300s (1) cores
% 2.33/0.70  # Starting sh5l with 300s (1) cores
% 2.33/0.70  # sh5l with pid 28818 completed with status 0
% 2.33/0.70  # Result found by sh5l
% 2.33/0.70  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.33/0.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.70  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.33/0.70  # Starting new_bool_3 with 300s (1) cores
% 2.33/0.70  # Starting new_bool_1 with 300s (1) cores
% 2.33/0.70  # Starting sh5l with 300s (1) cores
% 2.33/0.70  # SinE strategy is gf500_gu_R04_F100_L20000
% 2.33/0.70  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.33/0.70  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.33/0.70  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.33/0.70  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.33/0.70  # SAT001_MinMin_p005000_rr_RG with pid 28826 completed with status 0
% 2.33/0.70  # Result found by SAT001_MinMin_p005000_rr_RG
% 2.33/0.70  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.33/0.70  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.33/0.70  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.33/0.70  # Starting new_bool_3 with 300s (1) cores
% 2.33/0.70  # Starting new_bool_1 with 300s (1) cores
% 2.33/0.70  # Starting sh5l with 300s (1) cores
% 2.33/0.70  # SinE strategy is gf500_gu_R04_F100_L20000
% 2.33/0.70  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.33/0.70  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.33/0.70  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.33/0.70  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.33/0.70  # Preprocessing time       : 0.002 s
% 2.33/0.70  # Presaturation interreduction done
% 2.33/0.70  
% 2.33/0.70  # Proof found!
% 2.33/0.70  # SZS status Theorem
% 2.33/0.70  # SZS output start CNFRefutation
% See solution above
% 2.33/0.70  # Parsed axioms                        : 95
% 2.33/0.70  # Removed by relevancy pruning/SinE    : 0
% 2.33/0.70  # Initial clauses                      : 122
% 2.33/0.70  # Removed in clause preprocessing      : 0
% 2.33/0.70  # Initial clauses in saturation        : 122
% 2.33/0.70  # Processed clauses                    : 2725
% 2.33/0.70  # ...of these trivial                  : 285
% 2.33/0.70  # ...subsumed                          : 126
% 2.33/0.70  # ...remaining for further processing  : 2314
% 2.33/0.70  # Other redundant clauses eliminated   : 0
% 2.33/0.70  # Clauses deleted for lack of memory   : 0
% 2.33/0.70  # Backward-subsumed                    : 11
% 2.33/0.70  # Backward-rewritten                   : 2082
% 2.33/0.70  # Generated clauses                    : 14759
% 2.33/0.70  # ...of the previous two non-redundant : 8616
% 2.33/0.70  # ...aggressively subsumed             : 0
% 2.33/0.70  # Contextual simplify-reflections      : 25
% 2.33/0.70  # Paramodulations                      : 14759
% 2.33/0.70  # Factorizations                       : 0
% 2.33/0.70  # NegExts                              : 0
% 2.33/0.70  # Equation resolutions                 : 0
% 2.33/0.70  # Total rewrite steps                  : 9431
% 2.33/0.70  # Propositional unsat checks           : 0
% 2.33/0.70  #    Propositional check models        : 0
% 2.33/0.70  #    Propositional check unsatisfiable : 0
% 2.33/0.70  #    Propositional clauses             : 0
% 2.33/0.70  #    Propositional clauses after purity: 0
% 2.33/0.70  #    Propositional unsat core size     : 0
% 2.33/0.70  #    Propositional preprocessing time  : 0.000
% 2.33/0.70  #    Propositional encoding time       : 0.000
% 2.33/0.70  #    Propositional solver time         : 0.000
% 2.33/0.70  #    Success case prop preproc time    : 0.000
% 2.33/0.70  #    Success case prop encoding time   : 0.000
% 2.33/0.70  #    Success case prop solver time     : 0.000
% 2.33/0.70  # Current number of processed clauses  : 100
% 2.33/0.70  #    Positive orientable unit clauses  : 42
% 2.33/0.70  #    Positive unorientable unit clauses: 0
% 2.33/0.70  #    Negative unit clauses             : 0
% 2.33/0.70  #    Non-unit-clauses                  : 58
% 2.33/0.70  # Current number of unprocessed clauses: 5993
% 2.33/0.70  # ...number of literals in the above   : 18280
% 2.33/0.70  # Current number of archived formulas  : 0
% 2.33/0.70  # Current number of archived clauses   : 2214
% 2.33/0.70  # Clause-clause subsumption calls (NU) : 161743
% 2.33/0.70  # Rec. Clause-clause subsumption calls : 152042
% 2.33/0.70  # Non-unit clause-clause subsumptions  : 162
% 2.33/0.70  # Unit Clause-clause subsumption calls : 151093
% 2.33/0.70  # Rewrite failures with RHS unbound    : 0
% 2.33/0.70  # BW rewrite match attempts            : 9908
% 2.33/0.70  # BW rewrite match successes           : 1530
% 2.33/0.70  # Condensation attempts                : 0
% 2.33/0.70  # Condensation successes               : 0
% 2.33/0.70  # Termbank termtop insertions          : 166306
% 2.33/0.70  
% 2.33/0.70  # -------------------------------------------------
% 2.33/0.70  # User time                : 0.269 s
% 2.33/0.70  # System time              : 0.012 s
% 2.33/0.70  # Total time               : 0.281 s
% 2.33/0.70  # Maximum resident set size: 2588 pages
% 2.33/0.70  
% 2.33/0.70  # -------------------------------------------------
% 2.33/0.70  # User time                : 0.272 s
% 2.33/0.70  # System time              : 0.015 s
% 2.33/0.70  # Total time               : 0.286 s
% 2.33/0.70  # Maximum resident set size: 1872 pages
% 2.33/0.70  % E---3.1 exiting
% 2.33/0.71  % E---3.1 exiting
%------------------------------------------------------------------------------