TSTP Solution File: GEO564+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO564+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 03:46:19 EDT 2022

% Result   : Theorem 203.24s 26.70s
% Output   : CNFRefutation 203.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  220 (  73 unt;   0 def)
%            Number of atoms       :  783 (   0 equ)
%            Maximal formula atoms :  224 (   3 avg)
%            Number of connectives :  938 ( 375   ~; 386   |; 144   &)
%                                         (   1 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   21 (  21 usr;  20 con; 0-6 aty)
%            Number of variables   :  778 (  56 sgn 368   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214026,conjecture,
    ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ( perp(X1,X2,X3,X14)
        & perp(X1,X3,X2,X14)
        & perp(X2,X3,X1,X14)
        & midp(X22,X1,X2)
        & perp(X1,X2,X22,X8)
        & midp(X23,X1,X3)
        & perp(X1,X3,X23,X8)
        & midp(X24,X2,X3)
        & perp(X2,X3,X24,X8)
        & midp(X25,X1,X14)
        & perp(X1,X14,X25,X19)
        & midp(X26,X1,X2)
        & perp(X1,X2,X26,X19)
        & midp(X27,X14,X2)
        & perp(X14,X2,X27,X19)
        & midp(X28,X2,X14)
        & perp(X2,X14,X28,X20)
        & midp(X29,X2,X3)
        & perp(X2,X3,X29,X20)
        & midp(X30,X14,X3)
        & perp(X14,X3,X30,X20)
        & midp(X31,X3,X14)
        & perp(X3,X14,X31,X21)
        & midp(X32,X3,X1)
        & perp(X3,X1,X32,X21)
        & midp(X33,X14,X1)
        & perp(X14,X1,X33,X21) )
     => ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
        & ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
          | eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
        & eqangle(X1,X2,X2,X3,X20,X21,X21,X19) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214026) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

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/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

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/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD27,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqratio(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD27) ).

fof(ruleD18,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X2,X1,X3,X4,X9,X10,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(ruleD26,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqratio(X2,X1,X3,X4,X9,X10,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD26) ).

fof(ruleD6,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & para(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

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/benchmark/Axioms/GEO012+0.ax',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/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(c_0_30,plain,
    ! [X1,X20,X2,X19,X3,X21] :
      ( epred1_6(X21,X19,X3,X2,X20,X1)
    <=> ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
        & ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
          | eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) ) ) ),
    introduced(definition) ).

fof(c_0_31,negated_conjecture,
    ~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
        ( ( perp(X1,X2,X3,X14)
          & perp(X1,X3,X2,X14)
          & perp(X2,X3,X1,X14)
          & midp(X22,X1,X2)
          & perp(X1,X2,X22,X8)
          & midp(X23,X1,X3)
          & perp(X1,X3,X23,X8)
          & midp(X24,X2,X3)
          & perp(X2,X3,X24,X8)
          & midp(X25,X1,X14)
          & perp(X1,X14,X25,X19)
          & midp(X26,X1,X2)
          & perp(X1,X2,X26,X19)
          & midp(X27,X14,X2)
          & perp(X14,X2,X27,X19)
          & midp(X28,X2,X14)
          & perp(X2,X14,X28,X20)
          & midp(X29,X2,X3)
          & perp(X2,X3,X29,X20)
          & midp(X30,X14,X3)
          & perp(X14,X3,X30,X20)
          & midp(X31,X3,X14)
          & perp(X3,X14,X31,X21)
          & midp(X32,X3,X1)
          & perp(X3,X1,X32,X21)
          & midp(X33,X14,X1)
          & perp(X14,X1,X33,X21) )
       => ( epred1_6(X21,X19,X3,X2,X20,X1)
          & eqangle(X1,X2,X2,X3,X20,X21,X21,X19) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL214026]),c_0_30]) ).

fof(c_0_32,plain,
    ! [X407,X408,X409] :
      ( ~ midp(X407,X408,X409)
      | coll(X407,X408,X409) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_33,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk23_0,esk24_0)
    & perp(esk21_0,esk23_0,esk22_0,esk24_0)
    & perp(esk22_0,esk23_0,esk21_0,esk24_0)
    & midp(esk29_0,esk21_0,esk22_0)
    & perp(esk21_0,esk22_0,esk29_0,esk25_0)
    & midp(esk30_0,esk21_0,esk23_0)
    & perp(esk21_0,esk23_0,esk30_0,esk25_0)
    & midp(esk31_0,esk22_0,esk23_0)
    & perp(esk22_0,esk23_0,esk31_0,esk25_0)
    & midp(esk32_0,esk21_0,esk24_0)
    & perp(esk21_0,esk24_0,esk32_0,esk26_0)
    & midp(esk33_0,esk21_0,esk22_0)
    & perp(esk21_0,esk22_0,esk33_0,esk26_0)
    & midp(esk34_0,esk24_0,esk22_0)
    & perp(esk24_0,esk22_0,esk34_0,esk26_0)
    & midp(esk35_0,esk22_0,esk24_0)
    & perp(esk22_0,esk24_0,esk35_0,esk27_0)
    & midp(esk36_0,esk22_0,esk23_0)
    & perp(esk22_0,esk23_0,esk36_0,esk27_0)
    & midp(esk37_0,esk24_0,esk23_0)
    & perp(esk24_0,esk23_0,esk37_0,esk27_0)
    & midp(esk38_0,esk23_0,esk24_0)
    & perp(esk23_0,esk24_0,esk38_0,esk28_0)
    & midp(esk39_0,esk23_0,esk21_0)
    & perp(esk23_0,esk21_0,esk39_0,esk28_0)
    & midp(esk40_0,esk24_0,esk21_0)
    & perp(esk24_0,esk21_0,esk40_0,esk28_0)
    & ( ~ epred1_6(esk28_0,esk26_0,esk23_0,esk22_0,esk27_0,esk21_0)
      | ~ eqangle(esk21_0,esk22_0,esk22_0,esk23_0,esk27_0,esk28_0,esk28_0,esk26_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).

fof(c_0_34,plain,
    ! [X40,X41,X42,X43] :
      ( ~ coll(X40,X41,X42)
      | ~ coll(X40,X41,X43)
      | coll(X42,X43,X40) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

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

cnf(c_0_36,negated_conjecture,
    midp(esk38_0,esk23_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

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

cnf(c_0_38,negated_conjecture,
    coll(esk38_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_39,plain,
    ! [X404,X405,X406] :
      ( ~ midp(X404,X405,X406)
      | cong(X404,X405,X404,X406) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_40,negated_conjecture,
    ( coll(X1,esk24_0,esk38_0)
    | ~ coll(esk38_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    midp(esk40_0,esk24_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_42,plain,
    ! [X37,X38,X39] :
      ( ~ coll(X37,X38,X39)
      | coll(X38,X37,X39) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_43,negated_conjecture,
    midp(esk32_0,esk21_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

fof(c_0_44,plain,
    ! [X151,X152,X153,X154] :
      ( ~ cong(X151,X152,X153,X154)
      | cong(X151,X152,X154,X153) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_45,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    coll(esk24_0,esk24_0,esk38_0),
    inference(spm,[status(thm)],[c_0_40,c_0_38]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk40_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_41]) ).

cnf(c_0_48,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk32_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_35,c_0_43]) ).

fof(c_0_50,plain,
    ! [X298,X299,X300,X301,X302] :
      ( ~ midp(X301,X298,X299)
      | ~ para(X301,X302,X299,X300)
      | ~ coll(X302,X298,X300)
      | midp(X302,X298,X300) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

fof(c_0_51,plain,
    ! [X474,X475,X476,X477,X478,X479] :
      ( ( midp(esk6_6(X474,X475,X476,X477,X478,X479),X474,X477)
        | ~ midp(X478,X474,X475)
        | ~ midp(X479,X476,X477) )
      & ( para(esk6_6(X474,X475,X476,X477,X478,X479),X478,X475,X477)
        | ~ midp(X478,X474,X475)
        | ~ midp(X479,X476,X477) )
      & ( para(esk6_6(X474,X475,X476,X477,X478,X479),X479,X474,X476)
        | ~ midp(X478,X474,X475)
        | ~ midp(X479,X476,X477) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).

fof(c_0_52,plain,
    ! [X78,X79,X80] :
      ( ~ midp(X80,X79,X78)
      | midp(X80,X78,X79) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_53,plain,
    ! [X159,X160,X161,X162,X163,X164] :
      ( ~ cong(X159,X160,X161,X162)
      | ~ cong(X161,X162,X163,X164)
      | cong(X159,X160,X163,X164) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_54,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_55,negated_conjecture,
    cong(esk38_0,esk23_0,esk38_0,esk24_0),
    inference(spm,[status(thm)],[c_0_45,c_0_36]) ).

fof(c_0_56,plain,
    ! [X155,X156,X157,X158] :
      ( ~ cong(X155,X156,X157,X158)
      | cong(X157,X158,X155,X156) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

fof(c_0_57,plain,
    ! [X34,X35,X36] :
      ( ~ coll(X34,X35,X36)
      | coll(X34,X36,X35) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_58,negated_conjecture,
    ( coll(X1,esk38_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_46]) ).

cnf(c_0_59,negated_conjecture,
    ( coll(X1,esk21_0,esk40_0)
    | ~ coll(esk40_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_47]) ).

cnf(c_0_60,negated_conjecture,
    midp(esk39_0,esk23_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_61,negated_conjecture,
    coll(esk21_0,esk32_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_62,plain,
    ! [X263,X264,X265,X266,X267,X268] :
      ( ~ eqangle(X263,X264,X267,X268,X265,X266,X267,X268)
      | para(X263,X264,X265,X266) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

fof(c_0_63,plain,
    ! [X303,X304,X305] :
      ( ~ cong(X305,X303,X305,X304)
      | eqangle(X305,X303,X303,X304,X303,X304,X305,X304) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_64,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_50]) ).

cnf(c_0_65,plain,
    ( para(esk6_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_51]) ).

cnf(c_0_66,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_67,plain,
    ( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_68,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_69,negated_conjecture,
    cong(esk38_0,esk23_0,esk24_0,esk38_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_70,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_71,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk38_0,esk38_0,esk24_0),
    inference(spm,[status(thm)],[c_0_58,c_0_46]) ).

cnf(c_0_73,negated_conjecture,
    coll(esk21_0,esk21_0,esk40_0),
    inference(spm,[status(thm)],[c_0_59,c_0_47]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk39_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_60]) ).

cnf(c_0_75,negated_conjecture,
    ( coll(X1,esk24_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_61]) ).

fof(c_0_76,plain,
    ! [X269,X270,X271,X272,X273,X274] :
      ( ~ para(X269,X270,X271,X272)
      | eqangle(X269,X270,X273,X274,X271,X272,X273,X274) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_77,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_78,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_79,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk6_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_64,c_0_65]) ).

cnf(c_0_80,plain,
    ( midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1)
    | ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

fof(c_0_81,plain,
    ! [X401,X402,X403] :
      ( ~ cong(X401,X402,X401,X403)
      | ~ coll(X401,X402,X403)
      | midp(X401,X402,X403) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_82,negated_conjecture,
    ( cong(X1,X2,esk24_0,esk38_0)
    | ~ cong(X1,X2,esk38_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_83,negated_conjecture,
    cong(esk24_0,esk38_0,esk38_0,esk23_0),
    inference(spm,[status(thm)],[c_0_70,c_0_69]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk38_0,esk24_0,esk38_0),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk24_0,esk38_0,esk24_0),
    inference(spm,[status(thm)],[c_0_71,c_0_46]) ).

cnf(c_0_86,negated_conjecture,
    cong(esk40_0,esk24_0,esk40_0,esk21_0),
    inference(spm,[status(thm)],[c_0_45,c_0_41]) ).

cnf(c_0_87,negated_conjecture,
    ( coll(X1,esk40_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_73]) ).

cnf(c_0_88,negated_conjecture,
    ( coll(X1,esk21_0,esk39_0)
    | ~ coll(esk39_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_74]) ).

fof(c_0_89,plain,
    ! [X44,X45,X46,X47] :
      ( ~ para(X44,X45,X46,X47)
      | para(X44,X45,X47,X46) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_90,negated_conjecture,
    midp(esk40_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_66,c_0_41]) ).

cnf(c_0_91,negated_conjecture,
    coll(esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_75,c_0_61]) ).

fof(c_0_92,plain,
    ! [X115,X116,X117,X118,X119,X120,X121,X122] :
      ( ~ eqangle(X115,X116,X117,X118,X119,X120,X121,X122)
      | eqangle(X117,X118,X115,X116,X121,X122,X119,X120) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

cnf(c_0_93,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_94,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_95,plain,
    ( midp(X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X1,X5,X5)
    | ~ coll(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_96,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_97,negated_conjecture,
    cong(esk24_0,esk38_0,esk24_0,esk38_0),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_98,negated_conjecture,
    coll(esk24_0,esk38_0,esk38_0),
    inference(spm,[status(thm)],[c_0_48,c_0_84]) ).

cnf(c_0_99,negated_conjecture,
    ( coll(X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk38_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_85]) ).

cnf(c_0_100,negated_conjecture,
    cong(esk40_0,esk24_0,esk21_0,esk40_0),
    inference(spm,[status(thm)],[c_0_54,c_0_86]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk40_0,esk40_0,esk21_0),
    inference(spm,[status(thm)],[c_0_87,c_0_73]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk21_0,esk21_0,esk39_0),
    inference(spm,[status(thm)],[c_0_88,c_0_74]) ).

cnf(c_0_103,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_104,plain,
    ( para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X1,X3)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_105,negated_conjecture,
    ( cong(X1,X2,esk40_0,esk21_0)
    | ~ cong(X1,X2,esk40_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_86]) ).

cnf(c_0_106,negated_conjecture,
    cong(esk40_0,esk21_0,esk40_0,esk24_0),
    inference(spm,[status(thm)],[c_0_45,c_0_90]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk21_0,esk40_0,esk21_0),
    inference(spm,[status(thm)],[c_0_71,c_0_73]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_71,c_0_91]) ).

cnf(c_0_109,negated_conjecture,
    coll(esk24_0,esk40_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_47]) ).

cnf(c_0_110,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_92]) ).

cnf(c_0_111,plain,
    ( eqangle(X1,X1,X2,X3,X1,X4,X2,X3)
    | ~ cong(X1,X1,X1,X4) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_112,negated_conjecture,
    ( midp(X1,esk24_0,esk24_0)
    | ~ midp(X1,X2,X2)
    | ~ coll(X1,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_90]) ).

cnf(c_0_113,negated_conjecture,
    midp(esk24_0,esk38_0,esk38_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]) ).

cnf(c_0_114,negated_conjecture,
    coll(esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_99,c_0_85]) ).

cnf(c_0_115,negated_conjecture,
    ( cong(X1,X2,esk21_0,esk40_0)
    | ~ cong(X1,X2,esk40_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_100]) ).

cnf(c_0_116,negated_conjecture,
    cong(esk21_0,esk40_0,esk40_0,esk24_0),
    inference(spm,[status(thm)],[c_0_70,c_0_100]) ).

cnf(c_0_117,negated_conjecture,
    coll(esk40_0,esk21_0,esk40_0),
    inference(spm,[status(thm)],[c_0_71,c_0_101]) ).

cnf(c_0_118,negated_conjecture,
    coll(esk21_0,esk39_0,esk21_0),
    inference(spm,[status(thm)],[c_0_71,c_0_102]) ).

cnf(c_0_119,plain,
    ( para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X3,X1)
    | ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_120,negated_conjecture,
    cong(esk40_0,esk21_0,esk40_0,esk21_0),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk40_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_107]) ).

cnf(c_0_122,negated_conjecture,
    ( coll(X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_108]) ).

cnf(c_0_123,negated_conjecture,
    coll(esk24_0,esk21_0,esk40_0),
    inference(spm,[status(thm)],[c_0_71,c_0_109]) ).

cnf(c_0_124,plain,
    ( eqangle(X1,X2,X3,X3,X1,X2,X3,X4)
    | ~ cong(X3,X3,X3,X4) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_125,negated_conjecture,
    midp(esk24_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114])]) ).

cnf(c_0_126,negated_conjecture,
    cong(esk21_0,esk40_0,esk21_0,esk40_0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_127,negated_conjecture,
    coll(esk21_0,esk40_0,esk40_0),
    inference(spm,[status(thm)],[c_0_48,c_0_117]) ).

cnf(c_0_128,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk39_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_118]) ).

cnf(c_0_129,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk6_6(X3,X4,X5,X6,X7,X1),X2,X5)
    | ~ midp(X1,X5,X6)
    | ~ midp(X7,X3,X4)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_64,c_0_119]) ).

cnf(c_0_130,negated_conjecture,
    midp(esk40_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_120]),c_0_121])]) ).

cnf(c_0_131,negated_conjecture,
    coll(esk40_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

fof(c_0_132,plain,
    ! [X398,X399,X400] :
      ( ~ para(X398,X399,X398,X400)
      | coll(X398,X399,X400) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_133,plain,
    ( para(X1,X2,X1,X2)
    | ~ cong(X3,X3,X3,X3) ),
    inference(spm,[status(thm)],[c_0_77,c_0_124]) ).

cnf(c_0_134,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_45,c_0_125]) ).

fof(c_0_135,plain,
    ! [X440,X441,X442,X443,X444,X445,X446,X447] :
      ( ~ eqratio(X440,X441,X442,X443,X444,X445,X446,X447)
      | ~ cong(X444,X445,X446,X447)
      | cong(X440,X441,X442,X443) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_136,plain,
    ! [X410,X411,X412,X413,X414,X415] :
      ( ~ midp(X414,X410,X411)
      | ~ midp(X415,X412,X413)
      | eqratio(X414,X410,X410,X411,X415,X412,X412,X413) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_137,negated_conjecture,
    ( midp(X1,esk21_0,esk21_0)
    | ~ midp(X1,X2,X2)
    | ~ coll(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_41]) ).

cnf(c_0_138,negated_conjecture,
    midp(esk21_0,esk40_0,esk40_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_126]),c_0_127])]) ).

cnf(c_0_139,negated_conjecture,
    coll(esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_128,c_0_118]) ).

fof(c_0_140,plain,
    ! [X388,X389,X390,X391,X392] :
      ( ~ midp(X392,X388,X389)
      | ~ para(X388,X390,X389,X391)
      | ~ para(X388,X391,X389,X390)
      | midp(X392,X390,X391) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_141,plain,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3)
    | ~ midp(X4,X2,X5)
    | ~ coll(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_129,c_0_67]) ).

cnf(c_0_142,negated_conjecture,
    midp(esk40_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_130]),c_0_131])]) ).

cnf(c_0_143,negated_conjecture,
    ( coll(X1,esk40_0,esk40_0)
    | ~ coll(esk40_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_117]) ).

fof(c_0_144,plain,
    ! [X173,X174,X175,X176,X177,X178,X179,X180] :
      ( ~ eqratio(X173,X174,X175,X176,X177,X178,X179,X180)
      | eqratio(X175,X176,X173,X174,X179,X180,X177,X178) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD27])]) ).

fof(c_0_145,plain,
    ! [X107,X108,X109,X110,X111,X112,X113,X114] :
      ( ~ eqangle(X107,X108,X109,X110,X111,X112,X113,X114)
      | eqangle(X108,X107,X109,X110,X111,X112,X113,X114) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).

cnf(c_0_146,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_147,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_148,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_135]) ).

cnf(c_0_149,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_136]) ).

cnf(c_0_150,negated_conjecture,
    midp(esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).

cnf(c_0_151,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_140]) ).

cnf(c_0_152,negated_conjecture,
    ( midp(esk40_0,X1,X1)
    | ~ midp(X2,X1,X3)
    | ~ coll(esk40_0,X1,X1) ),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_153,negated_conjecture,
    coll(esk40_0,esk40_0,esk40_0),
    inference(spm,[status(thm)],[c_0_143,c_0_117]) ).

cnf(c_0_154,plain,
    ( eqratio(X3,X4,X1,X2,X7,X8,X5,X6)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

fof(c_0_155,plain,
    ! [X383,X384,X385,X386,X387] :
      ( ~ midp(X387,X383,X384)
      | ~ midp(X387,X385,X386)
      | para(X383,X385,X384,X386) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

cnf(c_0_156,plain,
    ( eqangle(X2,X1,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_157,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_158,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_148,c_0_149]) ).

cnf(c_0_159,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_45,c_0_150]) ).

cnf(c_0_160,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_147]),c_0_147])]) ).

cnf(c_0_161,negated_conjecture,
    midp(esk40_0,esk40_0,esk40_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_138]),c_0_153])]) ).

cnf(c_0_162,plain,
    ( eqratio(X1,X2,X3,X1,X4,X5,X6,X4)
    | ~ midp(X6,X4,X5)
    | ~ midp(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_154,c_0_149]) ).

cnf(c_0_163,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_164,plain,
    ( eqangle(X1,X2,X1,X3,X1,X3,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_156,c_0_78]) ).

cnf(c_0_165,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_48,c_0_157]) ).

cnf(c_0_166,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_158,c_0_159]),c_0_150])]) ).

cnf(c_0_167,negated_conjecture,
    midp(esk40_0,X1,X1),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_168,plain,
    ( cong(X1,X2,X3,X1)
    | ~ cong(X4,X5,X6,X4)
    | ~ midp(X6,X4,X5)
    | ~ midp(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_148,c_0_162]) ).

cnf(c_0_169,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
    | ~ midp(X8,X6,X4)
    | ~ midp(X7,X2,X5) ),
    inference(spm,[status(thm)],[c_0_163,c_0_67]) ).

fof(c_0_170,plain,
    ! [X48,X49,X50,X51] :
      ( ~ para(X48,X49,X50,X51)
      | para(X50,X51,X48,X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_171,plain,
    ( eqangle(X1,X2,X1,X3,X3,X2,X1,X2)
    | ~ cong(X3,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_164]) ).

fof(c_0_172,plain,
    ! [X165,X166,X167,X168,X169,X170,X171,X172] :
      ( ~ eqratio(X165,X166,X167,X168,X169,X170,X171,X172)
      | eqratio(X166,X165,X167,X168,X169,X170,X171,X172) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD26])]) ).

cnf(c_0_173,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_71,c_0_165]) ).

cnf(c_0_174,negated_conjecture,
    cong(esk40_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_175,negated_conjecture,
    ( cong(X1,X2,X3,X1)
    | ~ midp(X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_159]),c_0_150])]) ).

cnf(c_0_176,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_169,c_0_67]) ).

cnf(c_0_177,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_170]) ).

cnf(c_0_178,plain,
    ( para(X1,X2,X2,X2)
    | ~ cong(X2,X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_77,c_0_171]) ).

cnf(c_0_179,plain,
    ( eqratio(X2,X1,X3,X4,X5,X6,X7,X8)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_180,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_173]),c_0_173])]) ).

cnf(c_0_181,negated_conjecture,
    ( cong(X1,X2,X3,X3)
    | ~ cong(X1,X2,esk40_0,X3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_174]) ).

cnf(c_0_182,negated_conjecture,
    cong(X1,X1,esk40_0,X1),
    inference(spm,[status(thm)],[c_0_175,c_0_167]) ).

fof(c_0_183,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( ~ para(X52,X53,X54,X55)
      | ~ para(X54,X55,X56,X57)
      | para(X52,X53,X56,X57) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

cnf(c_0_184,negated_conjecture,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_176,c_0_167]) ).

cnf(c_0_185,plain,
    ( para(X1,X1,X2,X1)
    | ~ cong(X1,X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_186,plain,
    ( eqratio(X1,X2,X1,X3,X4,X5,X5,X6)
    | ~ midp(X4,X5,X6)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_179,c_0_149]) ).

cnf(c_0_187,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_180])]) ).

cnf(c_0_188,negated_conjecture,
    cong(X1,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_189,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_183]) ).

cnf(c_0_190,negated_conjecture,
    para(X1,X1,X2,X2),
    inference(spm,[status(thm)],[c_0_184,c_0_167]) ).

cnf(c_0_191,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_185]) ).

cnf(c_0_192,plain,
    ( cong(X1,X2,X1,X3)
    | ~ cong(X4,X5,X5,X6)
    | ~ midp(X4,X5,X6)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_148,c_0_186]) ).

cnf(c_0_193,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_194,negated_conjecture,
    ( para(X1,X2,X3,X3)
    | ~ para(X1,X2,X4,X4) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_195,plain,
    ( para(X1,X2,X1,X1)
    | ~ cong(X1,X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_191]) ).

cnf(c_0_196,negated_conjecture,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_159]),c_0_150])]) ).

cnf(c_0_197,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_160,c_0_193]) ).

cnf(c_0_198,negated_conjecture,
    ( para(X1,X2,X3,X3)
    | ~ cong(X1,X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_199,negated_conjecture,
    cong(X1,X2,X1,X1),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_200,plain,
    ( para(X1,X2,X3,X4)
    | ~ cong(X4,X3,X4,X4)
    | ~ para(X1,X2,X4,X4) ),
    inference(spm,[status(thm)],[c_0_189,c_0_185]) ).

cnf(c_0_201,negated_conjecture,
    para(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_199])]) ).

cnf(c_0_202,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_199])]),c_0_201])]) ).

fof(c_0_203,plain,
    ! [X131,X132,X133,X134,X135,X136,X137,X138] :
      ( ~ eqangle(X131,X132,X133,X134,X135,X136,X137,X138)
      | eqangle(X131,X132,X135,X136,X133,X134,X137,X138) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_204,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_202])]) ).

fof(c_0_205,plain,
    ! [X1,X20,X2,X19,X3,X21] :
      ( ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
        & ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
          | eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) ) )
     => epred1_6(X21,X19,X3,X2,X20,X1) ),
    inference(split_equiv,[status(thm)],[c_0_30]) ).

fof(c_0_206,plain,
    ! [X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150] :
      ( ~ eqangle(X139,X140,X141,X142,X143,X144,X145,X146)
      | ~ eqangle(X143,X144,X145,X146,X147,X148,X149,X150)
      | eqangle(X139,X140,X141,X142,X147,X148,X149,X150) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_207,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_203]) ).

cnf(c_0_208,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(spm,[status(thm)],[c_0_110,c_0_204]) ).

fof(c_0_209,plain,
    ! [X575,X576,X577,X578,X579,X580] :
      ( ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X575,X577,X577,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X575,X577,X577,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) )
      & ( ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X578,X578,X580)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X576,X580,X580,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | ~ eqangle(X577,X575,X575,X579,X580,X576,X576,X578)
        | epred1_6(X580,X578,X579,X577,X576,X575) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_205])])]) ).

cnf(c_0_210,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_206]) ).

cnf(c_0_211,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_212,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_207,c_0_204]) ).

cnf(c_0_213,plain,
    ( epred1_6(X6,X5,X3,X1,X4,X2)
    | ~ eqangle(X1,X2,X2,X3,X4,X5,X5,X6)
    | ~ eqangle(X1,X2,X2,X3,X4,X5,X5,X6)
    | ~ eqangle(X1,X2,X2,X3,X4,X6,X6,X5)
    | ~ eqangle(X1,X2,X2,X3,X4,X6,X6,X5)
    | ~ eqangle(X1,X2,X2,X3,X6,X4,X4,X5)
    | ~ eqangle(X1,X2,X2,X3,X6,X4,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_209]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ epred1_6(esk28_0,esk26_0,esk23_0,esk22_0,esk27_0,esk21_0)
    | ~ eqangle(esk21_0,esk22_0,esk22_0,esk23_0,esk27_0,esk28_0,esk28_0,esk26_0) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_215,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212])]) ).

cnf(c_0_216,plain,
    ( epred1_6(X6,X5,X3,X1,X4,X2)
    | ~ eqangle(X1,X2,X2,X3,X6,X4,X4,X5)
    | ~ eqangle(X1,X2,X2,X3,X4,X6,X6,X5)
    | ~ eqangle(X1,X2,X2,X3,X4,X5,X5,X6) ),
    inference(cn,[status(thm)],[c_0_213]) ).

cnf(c_0_217,negated_conjecture,
    ~ epred1_6(esk28_0,esk26_0,esk23_0,esk22_0,esk27_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_215])]) ).

cnf(c_0_218,plain,
    epred1_6(X1,X2,X3,X4,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_215]),c_0_215]),c_0_215])]) ).

cnf(c_0_219,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO564+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 01:43:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 203.24/26.70  # ENIGMATIC: Solved by autoschedule:
% 203.24/26.70  # No SInE strategy applied
% 203.24/26.70  # Trying AutoSched0 for 150 seconds
% 203.24/26.70  # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 203.24/26.70  # and selection function SelectMaxLComplexAvoidPosPred.
% 203.24/26.70  #
% 203.24/26.70  # Preprocessing time       : 0.034 s
% 203.24/26.70  # Presaturation interreduction done
% 203.24/26.70  
% 203.24/26.70  # Proof found!
% 203.24/26.70  # SZS status Theorem
% 203.24/26.70  # SZS output start CNFRefutation
% See solution above
% 203.24/26.70  # Training examples: 0 positive, 0 negative
% 203.24/26.70  
% 203.24/26.70  # -------------------------------------------------
% 203.24/26.70  # User time                : 23.894 s
% 203.24/26.70  # System time              : 0.390 s
% 203.24/26.70  # Total time               : 24.284 s
% 203.24/26.70  # Maximum resident set size: 7116 pages
% 203.24/26.70  
%------------------------------------------------------------------------------