TSTP Solution File: GEO597+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO597+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 17:33:07 EDT 2023

% Result   : Theorem 0.38s 0.77s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   43
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  190 (  54 unt;   0 def)
%            Number of atoms       :  410 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  375 ( 155   ~; 152   |;  31   &)
%                                         (   0 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-6 aty)
%            Number of variables   :  717 (  68 sgn; 358   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416059,conjecture,
    ! [X1,X2,X3,X8,X7,X17,X19] :
      ( ( circle(X8,X1,X2,X3)
        & midp(X7,X2,X1)
        & coll(X17,X8,X7)
        & circle(X8,X1,X17,X19) )
     => eqangle(X1,X3,X3,X17,X17,X3,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',exemplo6GDDFULL416059) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD69) ).

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.lTRxAElnsv/E---3.1_32685.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.lTRxAElnsv/E---3.1_32685.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.lTRxAElnsv/E---3.1_32685.p',ruleD8) ).

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.lTRxAElnsv/E---3.1_32685.p',ruleD3) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD68) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD11) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X1,X2,X3,X4)
        & cong(X3,X4,X5,X6) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD25) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD1) ).

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.lTRxAElnsv/E---3.1_32685.p',ruleD64) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD2) ).

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.lTRxAElnsv/E---3.1_32685.p',ruleD67) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD23) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD24) ).

fof(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD63) ).

fof(ruleX6,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
    ? [X9] :
      ( ( midp(X7,X1,X2)
        & midp(X17,X3,X4) )
     => ( midp(X9,X1,X4)
        & para(X9,X7,X2,X4)
        & para(X9,X17,X1,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleX6) ).

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.lTRxAElnsv/E---3.1_32685.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.lTRxAElnsv/E---3.1_32685.p',ruleD40) ).

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.lTRxAElnsv/E---3.1_32685.p',ruleD39) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.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.lTRxAElnsv/E---3.1_32685.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.lTRxAElnsv/E---3.1_32685.p',ruleD15) ).

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.lTRxAElnsv/E---3.1_32685.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.lTRxAElnsv/E---3.1_32685.p',ruleD41) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD14) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD16) ).

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.lTRxAElnsv/E---3.1_32685.p',ruleD45) ).

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.lTRxAElnsv/E---3.1_32685.p',ruleD17) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD73) ).

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.lTRxAElnsv/E---3.1_32685.p',ruleD46) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD4) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD44) ).

fof(ruleD20,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD20) ).

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD21) ).

fof(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox2/tmp/tmp.lTRxAElnsv/E---3.1_32685.p',ruleD22) ).

fof(c_0_36,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X7,X17,X19] :
        ( ( circle(X8,X1,X2,X3)
          & midp(X7,X2,X1)
          & coll(X17,X8,X7)
          & circle(X8,X1,X17,X19) )
       => eqangle(X1,X3,X3,X17,X17,X3,X3,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416059]) ).

fof(c_0_37,plain,
    ! [X201,X202,X203] :
      ( ~ midp(X201,X202,X203)
      | coll(X201,X202,X203) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_38,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & midp(esk5_0,esk2_0,esk1_0)
    & coll(esk6_0,esk4_0,esk5_0)
    & circle(esk4_0,esk1_0,esk6_0,esk7_0)
    & ~ eqangle(esk1_0,esk3_0,esk3_0,esk6_0,esk6_0,esk3_0,esk3_0,esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).

fof(c_0_39,plain,
    ! [X303,X304,X305,X306,X307,X308] :
      ( ~ perp(X303,X304,X305,X306)
      | ~ perp(X305,X306,X307,X308)
      | para(X303,X304,X307,X308) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_40,plain,
    ! [X156,X157,X158,X159] :
      ( ~ circle(X159,X156,X157,X158)
      | perp(esk11_4(X156,X157,X158,X159),X156,X156,X159) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_41,plain,
    ! [X343,X344,X345,X346] :
      ( ~ perp(X343,X344,X345,X346)
      | perp(X345,X346,X343,X344) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_42,plain,
    ! [X186,X187,X188,X189] :
      ( ~ coll(X186,X187,X188)
      | ~ coll(X186,X187,X189)
      | coll(X188,X189,X186) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

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

cnf(c_0_44,negated_conjecture,
    midp(esk5_0,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

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

cnf(c_0_46,plain,
    ( perp(esk11_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_47,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_48,plain,
    ! [X273,X274,X275] :
      ( ~ midp(X273,X274,X275)
      | cong(X273,X274,X273,X275) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

fof(c_0_49,plain,
    ! [X247,X248,X249] :
      ( ~ midp(X249,X248,X247)
      | midp(X249,X247,X248) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_50,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    coll(esk5_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk11_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,plain,
    ( perp(X1,X2,esk11_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_47,c_0_46]) ).

fof(c_0_54,plain,
    ! [X329,X330,X331,X332,X333,X334] :
      ( ~ cong(X329,X330,X331,X332)
      | ~ cong(X331,X332,X333,X334)
      | cong(X329,X330,X333,X334) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_55,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_56,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

fof(c_0_57,plain,
    ! [X180,X181,X182] :
      ( ~ coll(X180,X181,X182)
      | coll(X180,X182,X181) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_58,negated_conjecture,
    ( coll(X1,esk1_0,esk5_0)
    | ~ coll(esk5_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_59,plain,
    ! [X268,X269,X270,X271,X272] :
      ( ~ midp(X272,X268,X269)
      | ~ para(X268,X270,X269,X271)
      | ~ para(X268,X271,X269,X270)
      | midp(X272,X270,X271) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_60,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_62,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_63,negated_conjecture,
    cong(esk5_0,esk2_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_55,c_0_44]) ).

cnf(c_0_64,negated_conjecture,
    midp(esk5_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_56,c_0_44]) ).

fof(c_0_65,plain,
    ! [X183,X184,X185] :
      ( ~ coll(X183,X184,X185)
      | coll(X184,X183,X185) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_66,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk1_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_58,c_0_51]) ).

cnf(c_0_68,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_59]) ).

cnf(c_0_69,negated_conjecture,
    para(esk1_0,esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

fof(c_0_70,plain,
    ! [X198,X199,X200] :
      ( ~ cong(X198,X199,X198,X200)
      | ~ coll(X198,X199,X200)
      | midp(X198,X199,X200) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_71,negated_conjecture,
    ( cong(X1,X2,esk5_0,esk1_0)
    | ~ cong(X1,X2,esk5_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_72,negated_conjecture,
    cong(esk5_0,esk1_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_55,c_0_64]) ).

cnf(c_0_73,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk1_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,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_68,c_0_69]),c_0_69])]) ).

cnf(c_0_76,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_77,negated_conjecture,
    cong(esk5_0,esk1_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk5_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk6_0,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_80,plain,
    ! [X321,X322,X323,X324] :
      ( ~ cong(X321,X322,X323,X324)
      | cong(X321,X322,X324,X323) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_81,negated_conjecture,
    ( cong(X1,esk4_0,X1,esk4_0)
    | ~ midp(X1,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_75]) ).

cnf(c_0_82,negated_conjecture,
    midp(esk5_0,esk1_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).

cnf(c_0_83,negated_conjecture,
    coll(esk4_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_73,c_0_79]) ).

fof(c_0_84,plain,
    ! [X325,X326,X327,X328] :
      ( ~ cong(X325,X326,X327,X328)
      | cong(X327,X328,X325,X326) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_85,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_86,negated_conjecture,
    cong(esk5_0,esk4_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_87,negated_conjecture,
    ( coll(X1,esk5_0,esk4_0)
    | ~ coll(esk4_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_83]) ).

fof(c_0_88,plain,
    ! [X263,X264,X265,X266,X267] :
      ( ~ midp(X267,X263,X264)
      | ~ midp(X267,X265,X266)
      | para(X263,X265,X264,X266) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

fof(c_0_89,plain,
    ! [X276,X277,X278,X279,X280,X281] :
      ( ( midp(esk24_6(X276,X277,X278,X279,X280,X281),X276,X279)
        | ~ midp(X280,X276,X277)
        | ~ midp(X281,X278,X279) )
      & ( para(esk24_6(X276,X277,X278,X279,X280,X281),X280,X277,X279)
        | ~ midp(X280,X276,X277)
        | ~ midp(X281,X278,X279) )
      & ( para(esk24_6(X276,X277,X278,X279,X280,X281),X281,X276,X278)
        | ~ midp(X280,X276,X277)
        | ~ midp(X281,X278,X279) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).

cnf(c_0_90,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_91,negated_conjecture,
    cong(esk5_0,esk4_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk5_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_87,c_0_83]) ).

cnf(c_0_93,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_94,plain,
    ( midp(esk24_6(X1,X2,X3,X4,X5,X6),X1,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_95,negated_conjecture,
    cong(esk4_0,esk5_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk5_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_66,c_0_92]) ).

fof(c_0_97,plain,
    ! [X35,X36,X37,X38,X39,X40,X41,X42] :
      ( ~ eqangle(X35,X36,X37,X38,X39,X40,X41,X42)
      | eqangle(X37,X38,X35,X36,X41,X42,X39,X40) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_98,plain,
    ! [X77,X78,X79,X80,X81,X82] :
      ( ~ para(X77,X78,X79,X80)
      | eqangle(X77,X78,X81,X82,X79,X80,X81,X82) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_99,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(esk24_6(X2,X5,X6,X4,X7,X8),X1,X3)
    | ~ midp(X8,X6,X4)
    | ~ midp(X7,X2,X5) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_100,negated_conjecture,
    cong(esk4_0,esk5_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_85,c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk4_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_73,c_0_96]) ).

fof(c_0_102,plain,
    ! [X71,X72,X73,X74,X75,X76] :
      ( ~ eqangle(X71,X72,X75,X76,X73,X74,X75,X76)
      | para(X71,X72,X73,X74) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_103,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_97]) ).

cnf(c_0_104,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_105,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_99,c_0_94]) ).

cnf(c_0_106,negated_conjecture,
    midp(esk4_0,esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_100]),c_0_101])]) ).

cnf(c_0_107,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_108,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_109,negated_conjecture,
    ( para(X1,X1,esk5_0,esk5_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

fof(c_0_110,plain,
    ! [X195,X196,X197] :
      ( ~ para(X195,X196,X195,X197)
      | coll(X195,X196,X197) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_111,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_112,negated_conjecture,
    para(esk5_0,esk5_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_109,c_0_106]) ).

cnf(c_0_113,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_114,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_115,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

fof(c_0_116,plain,
    ! [X377,X378,X379,X380] :
      ( ~ eqangle(X379,X377,X379,X378,X380,X377,X380,X378)
      | ~ coll(X379,X380,X378)
      | cyclic(X377,X378,X379,X380) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_117,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_73,c_0_115]) ).

cnf(c_0_118,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_116]) ).

cnf(c_0_119,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_66,c_0_117]) ).

fof(c_0_120,plain,
    ! [X356,X357,X358,X359] :
      ( ~ cyclic(X356,X357,X358,X359)
      | cyclic(X356,X358,X357,X359) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_121,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_118,c_0_104]) ).

cnf(c_0_122,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_119]),c_0_119])]) ).

fof(c_0_123,plain,
    ! [X147,X148,X149,X150,X151] :
      ( ~ circle(X150,X147,X148,X149)
      | ~ coll(X151,X148,X149)
      | ~ eqangle(X147,X148,X147,X149,X150,X148,X150,X151)
      | midp(X151,X148,X149) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).

fof(c_0_124,plain,
    ! [X369,X370,X371,X372] :
      ( ~ cyclic(X369,X370,X371,X372)
      | eqangle(X371,X369,X371,X370,X372,X369,X372,X370) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

fof(c_0_125,plain,
    ! [X352,X353,X354,X355] :
      ( ~ cyclic(X352,X353,X354,X355)
      | cyclic(X352,X353,X355,X354) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_126,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_127,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_114])]),c_0_122])]) ).

cnf(c_0_128,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_123]) ).

cnf(c_0_129,plain,
    ( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

fof(c_0_130,plain,
    ! [X360,X361,X362,X363] :
      ( ~ cyclic(X360,X361,X362,X363)
      | cyclic(X361,X360,X362,X363) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_131,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_132,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

fof(c_0_133,plain,
    ! [X190,X191,X192,X193,X194] :
      ( ~ midp(X193,X190,X191)
      | ~ para(X193,X194,X191,X192)
      | ~ coll(X194,X190,X192)
      | midp(X194,X190,X192) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_134,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_128,c_0_129]) ).

cnf(c_0_135,negated_conjecture,
    circle(esk4_0,esk1_0,esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_136,plain,
    ! [X364,X365,X366,X367,X368] :
      ( ~ cyclic(X364,X365,X366,X367)
      | ~ cyclic(X364,X365,X366,X368)
      | cyclic(X365,X366,X367,X368) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_137,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_138,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_139,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_133]) ).

cnf(c_0_140,negated_conjecture,
    ( midp(esk7_0,esk6_0,esk7_0)
    | ~ cyclic(esk6_0,esk7_0,esk1_0,esk4_0)
    | ~ coll(esk7_0,esk6_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_141,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_142,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_143,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_122])]) ).

cnf(c_0_144,negated_conjecture,
    ( midp(esk7_0,esk6_0,esk7_0)
    | ~ cyclic(esk6_0,esk7_0,esk1_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_117])]) ).

cnf(c_0_145,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_142])]) ).

cnf(c_0_146,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_143,c_0_114]) ).

cnf(c_0_147,negated_conjecture,
    midp(esk7_0,esk6_0,esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_145])]) ).

fof(c_0_148,plain,
    ! [X97,X98,X99,X100,X101,X102,X103,X104] :
      ( ~ eqangle(X97,X98,X99,X100,X101,X102,X103,X104)
      | ~ para(X101,X102,X103,X104)
      | para(X97,X98,X99,X100) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

fof(c_0_149,plain,
    ! [X83,X84,X85] :
      ( ~ cong(X85,X83,X85,X84)
      | eqangle(X85,X83,X83,X84,X83,X84,X85,X84) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_150,negated_conjecture,
    midp(X1,esk6_0,X1),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_151,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ para(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_152,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_153,negated_conjecture,
    midp(X1,X1,esk6_0),
    inference(spm,[status(thm)],[c_0_56,c_0_150]) ).

cnf(c_0_154,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_155,negated_conjecture,
    cong(X1,X1,X1,esk6_0),
    inference(spm,[status(thm)],[c_0_55,c_0_153]) ).

cnf(c_0_156,negated_conjecture,
    para(X1,X1,X1,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_114])]) ).

cnf(c_0_157,negated_conjecture,
    ( midp(X1,X2,esk6_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_156]) ).

cnf(c_0_158,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_114]),c_0_114])]) ).

cnf(c_0_159,negated_conjecture,
    midp(X1,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_157,c_0_150]) ).

fof(c_0_160,plain,
    ! [X289,X290,X291,X292] :
      ( ~ para(X289,X290,X291,X292)
      | para(X289,X290,X292,X291) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_161,plain,
    ( para(esk24_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_162,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_163,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_164,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk24_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(X1,X4,X5)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_139,c_0_161]) ).

cnf(c_0_165,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_146,c_0_162]) ).

cnf(c_0_166,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_163,c_0_114]) ).

cnf(c_0_167,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk24_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_122])]) ).

cnf(c_0_168,negated_conjecture,
    midp(X1,X2,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_165])]) ).

cnf(c_0_169,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_166]) ).

fof(c_0_170,plain,
    ! [X250,X251,X252,X253,X254] :
      ( ~ midp(X253,X250,X251)
      | ~ midp(X254,X250,X252)
      | para(X253,X254,X251,X252) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_171,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_168])]) ).

cnf(c_0_172,negated_conjecture,
    midp(esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_169,c_0_168]) ).

fof(c_0_173,plain,
    ! [X43,X44,X45,X46,X47,X48,X49,X50] :
      ( ~ eqangle(X43,X44,X45,X46,X47,X48,X49,X50)
      | eqangle(X47,X48,X49,X50,X43,X44,X45,X46) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_174,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_175,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_176,plain,
    ( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

fof(c_0_177,plain,
    ! [X51,X52,X53,X54,X55,X56,X57,X58] :
      ( ~ eqangle(X51,X52,X53,X54,X55,X56,X57,X58)
      | eqangle(X51,X52,X55,X56,X53,X54,X57,X58) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_178,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175]),c_0_175])]) ).

cnf(c_0_179,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_176,c_0_104]) ).

fof(c_0_180,plain,
    ! [X59,X60,X61,X62,X63,X64,X65,X66,X67,X68,X69,X70] :
      ( ~ eqangle(X59,X60,X61,X62,X63,X64,X65,X66)
      | ~ eqangle(X63,X64,X65,X66,X67,X68,X69,X70)
      | eqangle(X59,X60,X61,X62,X67,X68,X69,X70) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_181,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_182,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_178])]) ).

cnf(c_0_183,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_178])]) ).

cnf(c_0_184,plain,
    ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_180]) ).

cnf(c_0_185,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_186,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_181,c_0_183]) ).

cnf(c_0_187,negated_conjecture,
    ~ eqangle(esk1_0,esk3_0,esk3_0,esk6_0,esk6_0,esk3_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_188,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186])]) ).

cnf(c_0_189,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16  % Problem    : GEO597+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.17  % Command    : run_E %s %d THM
% 0.15/0.40  % Computer : n020.cluster.edu
% 0.15/0.40  % Model    : x86_64 x86_64
% 0.15/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40  % Memory   : 8042.1875MB
% 0.15/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.40  % CPULimit   : 2400
% 0.15/0.40  % WCLimit    : 300
% 0.15/0.40  % DateTime   : Tue Oct  3 06:41:01 EDT 2023
% 0.15/0.40  % CPUTime    : 
% 0.23/0.55  Running first-order theorem proving
% 0.23/0.55  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.lTRxAElnsv/E---3.1_32685.p
% 0.38/0.77  # Version: 3.1pre001
% 0.38/0.77  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.77  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.77  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.77  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.77  # Starting sh5l with 300s (1) cores
% 0.38/0.77  # new_bool_1 with pid 32766 completed with status 0
% 0.38/0.77  # Result found by new_bool_1
% 0.38/0.77  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.77  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.77  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.77  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.77  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.38/0.77  # Search class: FGUSF-FFLS33-SFFFFFNN
% 0.38/0.77  # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.38/0.77  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.77  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.38/0.77  # SAT001_MinMin_p005000_rr_RG with pid 300 completed with status 0
% 0.38/0.77  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.38/0.77  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.38/0.77  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.77  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.38/0.77  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.77  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.77  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.38/0.77  # Search class: FGUSF-FFLS33-SFFFFFNN
% 0.38/0.77  # partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.38/0.77  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.77  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.38/0.77  # Preprocessing time       : 0.002 s
% 0.38/0.77  # Presaturation interreduction done
% 0.38/0.77  
% 0.38/0.77  # Proof found!
% 0.38/0.77  # SZS status Theorem
% 0.38/0.77  # SZS output start CNFRefutation
% See solution above
% 0.38/0.78  # Parsed axioms                        : 95
% 0.38/0.78  # Removed by relevancy pruning/SinE    : 21
% 0.38/0.78  # Initial clauses                      : 97
% 0.38/0.78  # Removed in clause preprocessing      : 0
% 0.38/0.78  # Initial clauses in saturation        : 97
% 0.38/0.78  # Processed clauses                    : 2662
% 0.38/0.78  # ...of these trivial                  : 439
% 0.38/0.78  # ...subsumed                          : 272
% 0.38/0.78  # ...remaining for further processing  : 1951
% 0.38/0.78  # Other redundant clauses eliminated   : 0
% 0.38/0.78  # Clauses deleted for lack of memory   : 0
% 0.38/0.78  # Backward-subsumed                    : 52
% 0.38/0.78  # Backward-rewritten                   : 1795
% 0.38/0.78  # Generated clauses                    : 13307
% 0.38/0.78  # ...of the previous two non-redundant : 9544
% 0.38/0.78  # ...aggressively subsumed             : 0
% 0.38/0.78  # Contextual simplify-reflections      : 5
% 0.38/0.78  # Paramodulations                      : 13307
% 0.38/0.78  # Factorizations                       : 0
% 0.38/0.78  # NegExts                              : 0
% 0.38/0.78  # Equation resolutions                 : 0
% 0.38/0.78  # Total rewrite steps                  : 7042
% 0.38/0.78  # Propositional unsat checks           : 0
% 0.38/0.78  #    Propositional check models        : 0
% 0.38/0.78  #    Propositional check unsatisfiable : 0
% 0.38/0.78  #    Propositional clauses             : 0
% 0.38/0.78  #    Propositional clauses after purity: 0
% 0.38/0.78  #    Propositional unsat core size     : 0
% 0.38/0.78  #    Propositional preprocessing time  : 0.000
% 0.38/0.78  #    Propositional encoding time       : 0.000
% 0.38/0.78  #    Propositional solver time         : 0.000
% 0.38/0.78  #    Success case prop preproc time    : 0.000
% 0.38/0.78  #    Success case prop encoding time   : 0.000
% 0.38/0.78  #    Success case prop solver time     : 0.000
% 0.38/0.78  # Current number of processed clauses  : 8
% 0.38/0.78  #    Positive orientable unit clauses  : 8
% 0.38/0.78  #    Positive unorientable unit clauses: 0
% 0.38/0.78  #    Negative unit clauses             : 0
% 0.38/0.78  #    Non-unit-clauses                  : 0
% 0.38/0.78  # Current number of unprocessed clauses: 3998
% 0.38/0.78  # ...number of literals in the above   : 12752
% 0.38/0.78  # Current number of archived formulas  : 0
% 0.38/0.78  # Current number of archived clauses   : 1943
% 0.38/0.78  # Clause-clause subsumption calls (NU) : 62782
% 0.38/0.78  # Rec. Clause-clause subsumption calls : 51378
% 0.38/0.78  # Non-unit clause-clause subsumptions  : 329
% 0.38/0.78  # Unit Clause-clause subsumption calls : 77732
% 0.38/0.78  # Rewrite failures with RHS unbound    : 0
% 0.38/0.78  # BW rewrite match attempts            : 14368
% 0.38/0.78  # BW rewrite match successes           : 1504
% 0.38/0.78  # Condensation attempts                : 0
% 0.38/0.78  # Condensation successes               : 0
% 0.38/0.78  # Termbank termtop insertions          : 154735
% 0.38/0.78  
% 0.38/0.78  # -------------------------------------------------
% 0.38/0.78  # User time                : 0.196 s
% 0.38/0.78  # System time              : 0.011 s
% 0.38/0.78  # Total time               : 0.207 s
% 0.38/0.78  # Maximum resident set size: 2356 pages
% 0.38/0.78  
% 0.38/0.78  # -------------------------------------------------
% 0.38/0.78  # User time                : 0.198 s
% 0.38/0.78  # System time              : 0.015 s
% 0.38/0.78  # Total time               : 0.213 s
% 0.38/0.78  # Maximum resident set size: 1876 pages
% 0.38/0.78  % E---3.1 exiting
% 0.38/0.78  % E---3.1 exiting
%------------------------------------------------------------------------------