TSTP Solution File: GEO575+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 17:33:03 EDT 2023

% Result   : Theorem 2.56s 0.82s
% Output   : CNFRefutation 2.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  189 (  69 unt;   0 def)
%            Number of atoms       :  386 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  327 ( 130   ~; 127   |;  38   &)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-4 aty)
%            Number of variables   :  545 (  35 sgn; 288   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214037,conjecture,
    ! [X1,X2,X3,X8,X14,X19,X20,X21,X22] :
      ( ( circle(X8,X1,X2,X3)
        & perp(X1,X2,X3,X14)
        & perp(X1,X3,X2,X14)
        & perp(X2,X3,X1,X14)
        & circle(X8,X3,X19,X21)
        & coll(X19,X3,X14)
        & circle(X8,X1,X20,X22)
        & coll(X20,X1,X14) )
     => cong(X2,X20,X2,X19) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',exemplo6GDDFULL214037) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD8) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD7) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD1) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD3) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD2) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD40) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD9) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD39) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD5) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD66) ).

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleX11) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD42b) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD15) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD14) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD16) ).

fof(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD43) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD17) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD4) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD56) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD45) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD64) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD67) ).

fof(ruleD52,axiom,
    ! [X1,X2,X3,X7] :
      ( ( perp(X1,X2,X2,X3)
        & midp(X7,X1,X3) )
     => cong(X1,X7,X2,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD52) ).

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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD70) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD24) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD46) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD23) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p',ruleD68) ).

fof(c_0_31,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X14,X19,X20,X21,X22] :
        ( ( circle(X8,X1,X2,X3)
          & perp(X1,X2,X3,X14)
          & perp(X1,X3,X2,X14)
          & perp(X2,X3,X1,X14)
          & circle(X8,X3,X19,X21)
          & coll(X19,X3,X14)
          & circle(X8,X1,X20,X22)
          & coll(X20,X1,X14) )
       => cong(X2,X20,X2,X19) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL214037]) ).

fof(c_0_32,plain,
    ! [X271,X272,X273,X274] :
      ( ~ perp(X271,X272,X273,X274)
      | perp(X273,X274,X271,X272) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_33,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & perp(esk1_0,esk2_0,esk3_0,esk5_0)
    & perp(esk1_0,esk3_0,esk2_0,esk5_0)
    & perp(esk2_0,esk3_0,esk1_0,esk5_0)
    & circle(esk4_0,esk3_0,esk6_0,esk8_0)
    & coll(esk6_0,esk3_0,esk5_0)
    & circle(esk4_0,esk1_0,esk7_0,esk9_0)
    & coll(esk7_0,esk1_0,esk5_0)
    & ~ cong(esk2_0,esk7_0,esk2_0,esk6_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).

fof(c_0_34,plain,
    ! [X267,X268,X269,X270] :
      ( ~ perp(X267,X268,X269,X270)
      | perp(X267,X268,X270,X269) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

cnf(c_0_35,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    perp(esk1_0,esk2_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_37,plain,
    ( perp(X1,X2,X4,X3)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    perp(esk3_0,esk5_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_39,plain,
    ! [X137,X138,X139] :
      ( ~ coll(X137,X138,X139)
      | coll(X137,X139,X138) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

fof(c_0_40,plain,
    ! [X143,X144,X145,X146] :
      ( ~ coll(X143,X144,X145)
      | ~ coll(X143,X144,X146)
      | coll(X145,X146,X143) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_41,negated_conjecture,
    perp(esk3_0,esk5_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

fof(c_0_42,plain,
    ! [X140,X141,X142] :
      ( ~ coll(X140,X141,X142)
      | coll(X141,X140,X142) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_43,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk6_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_45,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_46,plain,
    ! [X342,X343,X344,X345,X346,X347,X348,X349] :
      ( ~ eqangle(X342,X343,X344,X345,X346,X347,X348,X349)
      | eqangle(X344,X345,X342,X343,X348,X349,X346,X347) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_47,plain,
    ! [X384,X385,X386,X387,X388,X389] :
      ( ~ para(X384,X385,X386,X387)
      | eqangle(X384,X385,X388,X389,X386,X387,X388,X389) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_48,plain,
    ! [X275,X276,X277,X278,X279,X280] :
      ( ~ perp(X275,X276,X277,X278)
      | ~ perp(X277,X278,X279,X280)
      | para(X275,X276,X279,X280) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

cnf(c_0_49,negated_conjecture,
    perp(esk2_0,esk1_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_35,c_0_41]) ).

cnf(c_0_50,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    coll(esk6_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ( coll(X1,esk5_0,esk6_0)
    | ~ coll(esk6_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_44]) ).

fof(c_0_53,plain,
    ! [X378,X379,X380,X381,X382,X383] :
      ( ~ eqangle(X378,X379,X382,X383,X380,X381,X382,X383)
      | para(X378,X379,X380,X381) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_54,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_46]) ).

cnf(c_0_55,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_56,plain,
    ! [X543,X544,X545,X546] :
      ( ~ para(X543,X544,X545,X546)
      | para(X545,X546,X543,X544) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_57,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_58,negated_conjecture,
    perp(esk2_0,esk1_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_37,c_0_49]) ).

cnf(c_0_59,negated_conjecture,
    perp(esk1_0,esk2_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

cnf(c_0_60,negated_conjecture,
    coll(esk7_0,esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_61,negated_conjecture,
    coll(esk5_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk5_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_52,c_0_44]) ).

cnf(c_0_63,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_64,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_65,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    ( para(X1,X2,esk5_0,esk3_0)
    | ~ perp(X1,X2,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_67,negated_conjecture,
    perp(esk5_0,esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_35,c_0_59]) ).

cnf(c_0_68,negated_conjecture,
    ( coll(X1,esk5_0,esk7_0)
    | ~ coll(esk7_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_60]) ).

cnf(c_0_69,negated_conjecture,
    ( coll(X1,esk3_0,esk5_0)
    | ~ coll(esk5_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk5_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_43,c_0_62]) ).

fof(c_0_71,plain,
    ! [X180,X181,X182] :
      ( ~ para(X180,X181,X180,X182)
      | coll(X180,X181,X182) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_72,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_73,negated_conjecture,
    ( para(esk5_0,esk3_0,X1,X2)
    | ~ perp(X1,X2,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_74,negated_conjecture,
    perp(esk5_0,esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_37,c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    coll(esk5_0,esk5_0,esk7_0),
    inference(spm,[status(thm)],[c_0_68,c_0_60]) ).

cnf(c_0_76,negated_conjecture,
    coll(esk5_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_77,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_78,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).

cnf(c_0_79,negated_conjecture,
    ( coll(X1,esk7_0,esk5_0)
    | ~ coll(esk5_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_75]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk5_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_76]) ).

fof(c_0_81,plain,
    ! [X251,X252,X253,X254] :
      ( ~ circle(X254,X251,X252,X253)
      | perp(esk25_4(X251,X252,X253,X254),X251,X251,X254) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_82,plain,
    ! [X151,X152,X153,X154] :
      ( ~ eqangle(X153,X151,X153,X152,X154,X151,X154,X152)
      | ~ coll(X153,X154,X152)
      | cyclic(X151,X152,X153,X154) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_83,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk3_0,esk7_0,esk5_0),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_85,plain,
    ( perp(esk25_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_86,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_82]) ).

cnf(c_0_87,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_50,c_0_83]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk7_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_43,c_0_60]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk7_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_50,c_0_84]) ).

cnf(c_0_90,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk25_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_57,c_0_85]) ).

cnf(c_0_91,plain,
    ( perp(X1,X2,esk25_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_35,c_0_85]) ).

fof(c_0_92,plain,
    ! [X313,X314,X315,X316] :
      ( ~ cyclic(X313,X314,X315,X316)
      | cyclic(X313,X315,X314,X316) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_93,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_55]) ).

cnf(c_0_94,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_43,c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    ( coll(X1,esk1_0,esk7_0)
    | ~ coll(esk7_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_88]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk7_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_89]) ).

cnf(c_0_97,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_98,negated_conjecture,
    circle(esk4_0,esk3_0,esk6_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_99,plain,
    ! [X309,X310,X311,X312] :
      ( ~ cyclic(X309,X310,X311,X312)
      | cyclic(X309,X310,X312,X311) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_100,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_101,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_78])]),c_0_94])]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk1_0,esk1_0,esk7_0),
    inference(spm,[status(thm)],[c_0_95,c_0_88]) ).

cnf(c_0_103,negated_conjecture,
    coll(esk3_0,esk1_0,esk7_0),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_104,negated_conjecture,
    para(esk3_0,esk4_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_106,plain,
    ! [X317,X318,X319,X320] :
      ( ~ cyclic(X317,X318,X319,X320)
      | cyclic(X318,X317,X319,X320) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_107,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_108,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_109,negated_conjecture,
    coll(esk1_0,esk7_0,esk1_0),
    inference(spm,[status(thm)],[c_0_43,c_0_102]) ).

cnf(c_0_110,negated_conjecture,
    coll(esk1_0,esk3_0,esk7_0),
    inference(spm,[status(thm)],[c_0_50,c_0_103]) ).

cnf(c_0_111,negated_conjecture,
    coll(esk3_0,esk4_0,esk4_0),
    inference(spm,[status(thm)],[c_0_77,c_0_104]) ).

cnf(c_0_112,negated_conjecture,
    para(esk1_0,esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_97,c_0_105]) ).

fof(c_0_113,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( ~ cyclic(X55,X56,X57,X58)
      | ~ cyclic(X55,X56,X57,X59)
      | ~ cyclic(X55,X56,X57,X60)
      | ~ eqangle(X57,X55,X57,X56,X60,X58,X60,X59)
      | cong(X55,X56,X58,X59) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).

fof(c_0_114,plain,
    ! [X321,X322,X323,X324,X325] :
      ( ~ cyclic(X321,X322,X323,X324)
      | ~ cyclic(X321,X322,X323,X325)
      | cyclic(X322,X323,X324,X325) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_115,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_116,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

fof(c_0_117,plain,
    ! [X539,X540,X541,X542] :
      ( ~ para(X539,X540,X541,X542)
      | para(X539,X540,X542,X541) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_118,negated_conjecture,
    ( coll(X1,esk1_0,esk1_0)
    | ~ coll(esk1_0,esk7_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_109]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk1_0,esk7_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_110]) ).

cnf(c_0_120,negated_conjecture,
    coll(esk4_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_50,c_0_111]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk1_0,esk4_0,esk4_0),
    inference(spm,[status(thm)],[c_0_77,c_0_112]) ).

cnf(c_0_122,plain,
    ( cong(X1,X2,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X6)
    | ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_123,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_124,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_125,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_126,negated_conjecture,
    coll(esk3_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_127,negated_conjecture,
    coll(esk4_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_120]) ).

cnf(c_0_128,negated_conjecture,
    coll(esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_50,c_0_121]) ).

cnf(c_0_129,plain,
    ( cong(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X4,X4)
    | ~ cyclic(X1,X2,X4,X2)
    | ~ cyclic(X1,X2,X4,X3)
    | ~ para(X4,X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_122,c_0_55]) ).

cnf(c_0_130,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).

cnf(c_0_131,negated_conjecture,
    para(esk1_0,esk4_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_125,c_0_112]) ).

cnf(c_0_132,negated_conjecture,
    coll(esk1_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_50,c_0_126]) ).

cnf(c_0_133,negated_conjecture,
    ( coll(X1,esk3_0,esk4_0)
    | ~ coll(esk4_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_127]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk4_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_43,c_0_128]) ).

fof(c_0_135,plain,
    ! [X75,X76,X77,X78] :
      ( ~ cong(X75,X77,X76,X77)
      | ~ cong(X75,X78,X76,X78)
      | perp(X75,X76,X77,X78) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_136,plain,
    ( cong(X1,X2,X3,X2)
    | ~ para(X4,X1,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_101])]),c_0_130]),c_0_130])]) ).

fof(c_0_137,plain,
    ! [X155,X156,X157,X158,X159] :
      ( ~ midp(X158,X155,X156)
      | ~ para(X158,X159,X156,X157)
      | ~ coll(X159,X155,X157)
      | midp(X159,X155,X157) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_138,negated_conjecture,
    para(esk4_0,esk1_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_65,c_0_131]) ).

fof(c_0_139,plain,
    ! [X417,X418,X419,X420,X421] :
      ( ~ midp(X421,X417,X418)
      | ~ para(X417,X419,X418,X420)
      | ~ para(X417,X420,X418,X419)
      | midp(X421,X419,X420) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_140,negated_conjecture,
    ( coll(X1,esk1_0,esk1_0)
    | ~ coll(esk1_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_132]) ).

cnf(c_0_141,negated_conjecture,
    coll(esk1_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

fof(c_0_142,plain,
    ! [X95,X96,X97] :
      ( ~ cong(X95,X96,X95,X97)
      | ~ coll(X95,X96,X97)
      | midp(X95,X96,X97) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_143,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_144,negated_conjecture,
    cong(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_136,c_0_78]) ).

cnf(c_0_145,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_137]) ).

cnf(c_0_146,negated_conjecture,
    para(esk4_0,esk1_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_125,c_0_138]) ).

cnf(c_0_147,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_148,negated_conjecture,
    coll(esk4_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_149,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_150,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_94]),c_0_94])]) ).

fof(c_0_151,plain,
    ! [X67,X68,X69,X70] :
      ( ~ perp(X67,X68,X68,X69)
      | ~ midp(X70,X67,X69)
      | cong(X67,X70,X68,X70) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_152,negated_conjecture,
    perp(X1,X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_144])]) ).

cnf(c_0_153,negated_conjecture,
    ( midp(esk1_0,X1,esk1_0)
    | ~ midp(esk4_0,X1,esk4_0)
    | ~ coll(esk1_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_154,negated_conjecture,
    ( midp(X1,esk4_0,esk4_0)
    | ~ midp(X1,esk1_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_112]),c_0_112])]) ).

cnf(c_0_155,negated_conjecture,
    coll(esk1_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_50,c_0_148]) ).

cnf(c_0_156,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150])]) ).

fof(c_0_157,plain,
    ! [X101,X102,X103,X104,X105,X106,X107,X108] :
      ( ~ eqratio(X101,X102,X103,X104,X105,X106,X107,X108)
      | ~ cong(X105,X106,X107,X108)
      | cong(X101,X102,X103,X104) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_158,plain,
    ! [X422,X423,X424,X425,X426,X427] :
      ( ~ midp(X426,X422,X423)
      | ~ midp(X427,X424,X425)
      | eqratio(X426,X422,X422,X423,X427,X424,X424,X425) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_159,plain,
    ( cong(X1,X4,X2,X4)
    | ~ perp(X1,X2,X2,X3)
    | ~ midp(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_160,negated_conjecture,
    perp(X1,X2,X3,X3),
    inference(spm,[status(thm)],[c_0_35,c_0_152]) ).

cnf(c_0_161,negated_conjecture,
    ( midp(esk1_0,esk4_0,esk1_0)
    | ~ midp(esk4_0,esk1_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155])]) ).

cnf(c_0_162,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_156,c_0_144]) ).

cnf(c_0_163,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_157]) ).

cnf(c_0_164,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_158]) ).

cnf(c_0_165,negated_conjecture,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_166,negated_conjecture,
    midp(esk1_0,esk4_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_162])]) ).

cnf(c_0_167,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_163,c_0_164]) ).

cnf(c_0_168,negated_conjecture,
    cong(esk4_0,esk1_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

fof(c_0_169,plain,
    ! [X45,X46,X47,X48] :
      ( ~ cong(X45,X46,X47,X48)
      | cong(X47,X48,X45,X46) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_170,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_167,c_0_168]),c_0_162])]) ).

fof(c_0_171,plain,
    ! [X61,X62,X63] :
      ( ~ cong(X63,X61,X63,X62)
      | eqangle(X63,X61,X61,X62,X61,X62,X63,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

fof(c_0_172,plain,
    ! [X41,X42,X43,X44] :
      ( ~ cong(X41,X42,X43,X44)
      | cong(X41,X42,X44,X43) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_173,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_174,negated_conjecture,
    cong(X1,X2,X2,X2),
    inference(spm,[status(thm)],[c_0_170,c_0_162]) ).

cnf(c_0_175,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_171]) ).

cnf(c_0_176,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_177,negated_conjecture,
    cong(X1,X1,X2,X1),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_178,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_175]) ).

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

cnf(c_0_180,plain,
    ( para(X1,X2,X1,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_178]) ).

fof(c_0_181,plain,
    ! [X98,X99,X100] :
      ( ~ midp(X98,X99,X100)
      | cong(X98,X99,X98,X100) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_182,plain,
    para(X1,X1,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179])]) ).

cnf(c_0_183,plain,
    para(X1,X2,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_179])]) ).

cnf(c_0_184,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_185,plain,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_182]),c_0_162]),c_0_183])]) ).

cnf(c_0_186,negated_conjecture,
    ~ cong(esk2_0,esk7_0,esk2_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_187,plain,
    cong(X1,X2,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).

cnf(c_0_188,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 06:18:33 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.wH07RQA7Jg/E---3.1_23771.p
% 2.56/0.82  # Version: 3.1pre001
% 2.56/0.82  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.56/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.56/0.82  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.56/0.82  # Starting new_bool_3 with 300s (1) cores
% 2.56/0.82  # Starting new_bool_1 with 300s (1) cores
% 2.56/0.82  # Starting sh5l with 300s (1) cores
% 2.56/0.82  # sh5l with pid 23852 completed with status 0
% 2.56/0.82  # Result found by sh5l
% 2.56/0.82  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.56/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.56/0.82  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.56/0.82  # Starting new_bool_3 with 300s (1) cores
% 2.56/0.82  # Starting new_bool_1 with 300s (1) cores
% 2.56/0.82  # Starting sh5l with 300s (1) cores
% 2.56/0.82  # SinE strategy is gf500_gu_R04_F100_L20000
% 2.56/0.82  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.56/0.82  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.56/0.82  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.56/0.82  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.56/0.82  # SAT001_MinMin_p005000_rr_RG with pid 23860 completed with status 0
% 2.56/0.82  # Result found by SAT001_MinMin_p005000_rr_RG
% 2.56/0.82  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.56/0.82  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.56/0.82  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.56/0.82  # Starting new_bool_3 with 300s (1) cores
% 2.56/0.82  # Starting new_bool_1 with 300s (1) cores
% 2.56/0.82  # Starting sh5l with 300s (1) cores
% 2.56/0.82  # SinE strategy is gf500_gu_R04_F100_L20000
% 2.56/0.82  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.56/0.82  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.56/0.82  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.56/0.82  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.56/0.82  # Preprocessing time       : 0.002 s
% 2.56/0.82  # Presaturation interreduction done
% 2.56/0.82  
% 2.56/0.82  # Proof found!
% 2.56/0.82  # SZS status Theorem
% 2.56/0.82  # SZS output start CNFRefutation
% See solution above
% 2.56/0.82  # Parsed axioms                        : 95
% 2.56/0.82  # Removed by relevancy pruning/SinE    : 0
% 2.56/0.82  # Initial clauses                      : 122
% 2.56/0.82  # Removed in clause preprocessing      : 0
% 2.56/0.82  # Initial clauses in saturation        : 122
% 2.56/0.82  # Processed clauses                    : 3057
% 2.56/0.82  # ...of these trivial                  : 205
% 2.56/0.82  # ...subsumed                          : 129
% 2.56/0.82  # ...remaining for further processing  : 2723
% 2.56/0.82  # Other redundant clauses eliminated   : 0
% 2.56/0.82  # Clauses deleted for lack of memory   : 0
% 2.56/0.82  # Backward-subsumed                    : 14
% 2.56/0.82  # Backward-rewritten                   : 2545
% 2.56/0.82  # Generated clauses                    : 15650
% 2.56/0.82  # ...of the previous two non-redundant : 10775
% 2.56/0.82  # ...aggressively subsumed             : 0
% 2.56/0.82  # Contextual simplify-reflections      : 24
% 2.56/0.82  # Paramodulations                      : 15650
% 2.56/0.82  # Factorizations                       : 0
% 2.56/0.82  # NegExts                              : 0
% 2.56/0.82  # Equation resolutions                 : 0
% 2.56/0.82  # Total rewrite steps                  : 8794
% 2.56/0.82  # Propositional unsat checks           : 0
% 2.56/0.82  #    Propositional check models        : 0
% 2.56/0.82  #    Propositional check unsatisfiable : 0
% 2.56/0.82  #    Propositional clauses             : 0
% 2.56/0.82  #    Propositional clauses after purity: 0
% 2.56/0.82  #    Propositional unsat core size     : 0
% 2.56/0.82  #    Propositional preprocessing time  : 0.000
% 2.56/0.82  #    Propositional encoding time       : 0.000
% 2.56/0.82  #    Propositional solver time         : 0.000
% 2.56/0.82  #    Success case prop preproc time    : 0.000
% 2.56/0.82  #    Success case prop encoding time   : 0.000
% 2.56/0.82  #    Success case prop solver time     : 0.000
% 2.56/0.82  # Current number of processed clauses  : 43
% 2.56/0.82  #    Positive orientable unit clauses  : 14
% 2.56/0.82  #    Positive unorientable unit clauses: 0
% 2.56/0.82  #    Negative unit clauses             : 0
% 2.56/0.82  #    Non-unit-clauses                  : 29
% 2.56/0.82  # Current number of unprocessed clauses: 6769
% 2.56/0.82  # ...number of literals in the above   : 21417
% 2.56/0.82  # Current number of archived formulas  : 0
% 2.56/0.82  # Current number of archived clauses   : 2680
% 2.56/0.82  # Clause-clause subsumption calls (NU) : 105669
% 2.56/0.82  # Rec. Clause-clause subsumption calls : 95179
% 2.56/0.82  # Non-unit clause-clause subsumptions  : 167
% 2.56/0.82  # Unit Clause-clause subsumption calls : 61306
% 2.56/0.82  # Rewrite failures with RHS unbound    : 0
% 2.56/0.82  # BW rewrite match attempts            : 13028
% 2.56/0.82  # BW rewrite match successes           : 2065
% 2.56/0.82  # Condensation attempts                : 0
% 2.56/0.82  # Condensation successes               : 0
% 2.56/0.82  # Termbank termtop insertions          : 191327
% 2.56/0.82  
% 2.56/0.82  # -------------------------------------------------
% 2.56/0.82  # User time                : 0.330 s
% 2.56/0.82  # System time              : 0.013 s
% 2.56/0.82  # Total time               : 0.343 s
% 2.56/0.82  # Maximum resident set size: 2604 pages
% 2.56/0.82  
% 2.56/0.82  # -------------------------------------------------
% 2.56/0.82  # User time                : 0.332 s
% 2.56/0.82  # System time              : 0.014 s
% 2.56/0.82  # Total time               : 0.346 s
% 2.56/0.82  # Maximum resident set size: 1872 pages
% 2.56/0.82  % E---3.1 exiting
% 2.56/0.82  % E---3.1 exiting
%------------------------------------------------------------------------------