TSTP Solution File: GEO635+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:06:50 EDT 2022

% Result   : Theorem 0.23s 2.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   65
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  525 ( 229 unt;   0 def)
%            Number of atoms       :  978 (   0 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  816 ( 363   ~; 361   |;  46   &)
%                                         (   0 <=>;  46  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-6 aty)
%            Number of variables   : 1079 ( 109 sgn 458   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110998,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19,X20] :
      ( ( circle(X4,X1,X2,X3)
        & coll(X5,X1,X2)
        & circle(X4,X1,X6,X19)
        & eqangle(X1,X3,X3,X5,X6,X3,X3,X2)
        & circle(X4,X3,X13,X20)
        & coll(X13,X3,X5) )
     => para(X1,X2,X13,X6) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULL8110998) ).

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

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

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

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

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

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD42a,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & ~ coll(X9,X10,X1) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

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

fof(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

fof(ruleD51,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X7,X2,X3)
        & eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
     => midp(X7,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).

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

fof(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X4)
        & cyclic(X1,X2,X3,X5) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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

fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

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

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

fof(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

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

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

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

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

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

fof(ruleD53,axiom,
    ! [X1,X2,X3,X8] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X8,X1,X3) )
     => perp(X1,X2,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).

fof(ruleD55,axiom,
    ! [X1,X2,X7,X8] :
      ( ( midp(X7,X1,X2)
        & perp(X8,X7,X1,X2) )
     => cong(X8,X1,X8,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).

fof(ruleD50,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & midp(X7,X2,X3) )
     => eqangle(X1,X2,X1,X3,X8,X2,X8,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD10,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

fof(ruleD54,axiom,
    ! [X1,X2,X3,X4] :
      ( ( cyclic(X1,X2,X3,X4)
        & para(X1,X2,X3,X4) )
     => eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & para(X5,X6,X2,X3)
        & coll(X6,X1,X3) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

fof(c_0_45,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20] :
        ( ( circle(X4,X1,X2,X3)
          & coll(X5,X1,X2)
          & circle(X4,X1,X6,X19)
          & eqangle(X1,X3,X3,X5,X6,X3,X3,X2)
          & circle(X4,X3,X13,X20)
          & coll(X13,X3,X5) )
       => para(X1,X2,X13,X6) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110998]) ).

fof(c_0_46,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

fof(c_0_47,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & coll(esk25_0,esk21_0,esk22_0)
    & circle(esk24_0,esk21_0,esk26_0,esk28_0)
    & eqangle(esk21_0,esk23_0,esk23_0,esk25_0,esk26_0,esk23_0,esk23_0,esk22_0)
    & circle(esk24_0,esk23_0,esk27_0,esk29_0)
    & coll(esk27_0,esk23_0,esk25_0)
    & ~ para(esk21_0,esk22_0,esk27_0,esk26_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).

fof(c_0_48,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_49,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    coll(esk25_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_51,plain,
    ! [X5,X6,X7,X8] :
      ( ~ coll(X5,X6,X7)
      | ~ coll(X5,X6,X8)
      | coll(X7,X8,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_52,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk21_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk21_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    ( coll(X1,esk25_0,esk21_0)
    | ~ coll(esk21_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk27_0,esk23_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_58,negated_conjecture,
    coll(esk25_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_56,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( coll(X1,esk25_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_57]) ).

cnf(c_0_60,negated_conjecture,
    ( coll(X1,esk22_0,esk25_0)
    | ~ coll(esk25_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_50]) ).

cnf(c_0_61,negated_conjecture,
    coll(esk25_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_58]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk25_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_59,c_0_57]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk25_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ( coll(X1,esk27_0,esk25_0)
    | ~ coll(esk25_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_62]) ).

cnf(c_0_65,negated_conjecture,
    coll(esk25_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_52,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    coll(esk22_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk27_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_57]) ).

cnf(c_0_68,negated_conjecture,
    coll(esk27_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_49,c_0_66]) ).

cnf(c_0_69,negated_conjecture,
    ( coll(X1,esk23_0,esk27_0)
    | ~ coll(esk27_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk27_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_52,c_0_68]) ).

fof(c_0_71,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk23_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_69,c_0_67]) ).

cnf(c_0_73,negated_conjecture,
    coll(esk22_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

fof(c_0_74,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_75,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk23_0,esk25_0,esk26_0,esk23_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk23_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk23_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_49,c_0_73]) ).

fof(c_0_79,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( ~ eqangle(X15,X16,X17,X18,X19,X20,X21,X22)
      | ~ eqangle(X19,X20,X21,X22,X23,X24,X25,X26)
      | eqangle(X15,X16,X17,X18,X23,X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

fof(c_0_80,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X14,X13,X15,X16,X17,X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).

cnf(c_0_81,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_82,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk26_0,esk23_0,esk23_0,esk25_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_83,negated_conjecture,
    ( coll(X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk23_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_52,c_0_78]) ).

fof(c_0_85,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

cnf(c_0_86,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_87,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X2,X1,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_88,negated_conjecture,
    eqangle(esk23_0,esk25_0,esk23_0,esk22_0,esk21_0,esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk22_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

fof(c_0_90,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | ~ coll(X13,X14,X12)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_91,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

fof(c_0_92,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
      | para(X11,X12,X13,X14) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).

cnf(c_0_93,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk23_0,esk25_0,esk23_0,esk22_0)
    | ~ eqangle(X1,X2,X3,X4,esk21_0,esk23_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_82]) ).

cnf(c_0_94,negated_conjecture,
    eqangle(esk25_0,esk23_0,esk23_0,esk22_0,esk21_0,esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_89]) ).

fof(c_0_96,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | coll(X13,X14,X11)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ruleD42a])])]) ).

cnf(c_0_97,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_98,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_75,c_0_91]) ).

fof(c_0_99,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_100,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    eqangle(esk25_0,esk23_0,esk23_0,esk22_0,esk23_0,esk25_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

fof(c_0_102,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cyclic(X11,X12,X13,X14)
      | eqangle(X13,X11,X13,X12,X14,X11,X14,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

fof(c_0_103,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X6,X5,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_104,negated_conjecture,
    eqangle(esk23_0,esk25_0,esk23_0,esk22_0,esk23_0,esk25_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_93,c_0_88]) ).

cnf(c_0_105,negated_conjecture,
    coll(esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_52,c_0_95]) ).

cnf(c_0_106,plain,
    ( cyclic(X1,X2,X3,X4)
    | coll(X3,X4,X1)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_107,plain,
    ( cyclic(X1,X1,X2,X3)
    | ~ para(X2,X1,X2,X1)
    | ~ coll(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_108,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_109,negated_conjecture,
    para(esk25_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_110,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_111,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_112,negated_conjecture,
    cyclic(esk25_0,esk22_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_104]),c_0_105])]) ).

fof(c_0_113,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ para(X17,X18,X19,X20)
      | para(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])])]) ).

fof(c_0_114,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_115,plain,
    ( cyclic(X1,X1,X2,X3)
    | ~ para(X2,X1,X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_98]),c_0_107]) ).

cnf(c_0_116,negated_conjecture,
    para(esk25_0,esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_117,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_110]) ).

cnf(c_0_118,negated_conjecture,
    cyclic(esk22_0,esk25_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

fof(c_0_119,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ coll(X13,X10,X11)
      | ~ eqangle(X9,X10,X9,X11,X12,X10,X12,X13)
      | midp(X13,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).

cnf(c_0_120,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_121,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_122,negated_conjecture,
    cyclic(esk23_0,esk23_0,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

fof(c_0_123,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_124,negated_conjecture,
    para(esk23_0,esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_125,plain,
    ( midp(X1,X2,X3)
    | ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
    | ~ coll(X1,X2,X3)
    | ~ circle(X5,X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

fof(c_0_126,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ cyclic(X6,X7,X8,X9)
      | ~ cyclic(X6,X7,X8,X10)
      | cyclic(X7,X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

fof(c_0_127,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_128,plain,
    ( para(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ para(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_120,c_0_110]) ).

cnf(c_0_129,negated_conjecture,
    cyclic(esk23_0,esk23_0,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_130,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_131,negated_conjecture,
    para(esk23_0,esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_108,c_0_124]) ).

cnf(c_0_132,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_125,c_0_110]) ).

cnf(c_0_133,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_134,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_135,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk12_4(X10,X11,X12,X13),X10,X10,X13) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_136,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_137,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ cyclic(X16,X17,X18,X19)
      | ~ cyclic(X16,X17,X18,X20)
      | ~ cyclic(X16,X17,X18,X21)
      | ~ eqangle(X18,X16,X18,X17,X21,X19,X21,X20)
      | cong(X16,X17,X19,X20) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])])]) ).

fof(c_0_138,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_139,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_140,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_141,negated_conjecture,
    para(X1,esk23_0,X1,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_116])]) ).

cnf(c_0_142,negated_conjecture,
    para(esk22_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_143,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk23_0)
    | ~ cyclic(esk22_0,esk23_0,esk21_0,esk24_0)
    | ~ coll(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_144,negated_conjecture,
    cyclic(esk22_0,esk22_0,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_115,c_0_124]) ).

cnf(c_0_145,negated_conjecture,
    coll(esk21_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_64,c_0_58]) ).

cnf(c_0_146,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_147,plain,
    ( perp(esk12_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_148,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_149,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4)
    | ~ cyclic(X1,X2,X5,X6)
    | ~ cyclic(X1,X2,X5,X4)
    | ~ cyclic(X1,X2,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_150,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_151,negated_conjecture,
    cyclic(esk23_0,esk25_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_122]),c_0_122])]) ).

cnf(c_0_152,negated_conjecture,
    coll(X1,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

fof(c_0_153,plain,
    ! [X9,X10,X11] :
      ( ~ cong(X11,X9,X11,X10)
      | eqangle(X11,X9,X9,X10,X9,X10,X11,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_154,negated_conjecture,
    para(esk22_0,esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_108,c_0_142]) ).

fof(c_0_155,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_156,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk23_0)
    | ~ cyclic(esk22_0,esk23_0,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_95])]) ).

cnf(c_0_157,negated_conjecture,
    cyclic(esk22_0,esk23_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_144]),c_0_144])]) ).

cnf(c_0_158,negated_conjecture,
    coll(esk27_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_49,c_0_145]) ).

cnf(c_0_159,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_160,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_148,c_0_147]) ).

fof(c_0_161,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ perp(X17,X18,X19,X20)
      | perp(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).

fof(c_0_162,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_163,plain,
    ( cong(X1,X2,X1,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_149,c_0_110]) ).

cnf(c_0_164,negated_conjecture,
    cyclic(esk23_0,X1,esk25_0,X2),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_165,negated_conjecture,
    coll(esk23_0,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_152]) ).

cnf(c_0_166,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_167,negated_conjecture,
    cyclic(esk23_0,esk23_0,esk22_0,X1),
    inference(spm,[status(thm)],[c_0_115,c_0_154]) ).

fof(c_0_168,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_169,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_170,negated_conjecture,
    midp(esk23_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157])]) ).

cnf(c_0_171,negated_conjecture,
    coll(esk27_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_158]) ).

cnf(c_0_172,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_173,negated_conjecture,
    circle(esk24_0,esk23_0,esk27_0,esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_174,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

cnf(c_0_175,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_176,negated_conjecture,
    cyclic(esk25_0,esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_150,c_0_112]) ).

fof(c_0_177,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | perp(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_178,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_179,negated_conjecture,
    cong(esk23_0,X1,esk23_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_164]),c_0_164])]) ).

cnf(c_0_180,negated_conjecture,
    coll(esk23_0,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_52,c_0_165]) ).

cnf(c_0_181,plain,
    ( cong(X1,X2,X2,X2)
    | ~ cyclic(X1,X2,X1,X1)
    | ~ cyclic(X1,X2,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_149,c_0_166]) ).

cnf(c_0_182,negated_conjecture,
    cyclic(esk23_0,esk22_0,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_150,c_0_167]) ).

cnf(c_0_183,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_184,negated_conjecture,
    midp(esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_185,negated_conjecture,
    coll(esk21_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_69,c_0_171]) ).

cnf(c_0_186,negated_conjecture,
    para(esk23_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_187,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_174]) ).

fof(c_0_188,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

cnf(c_0_189,plain,
    ( perp(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ perp(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_175,c_0_110]) ).

cnf(c_0_190,negated_conjecture,
    cyclic(esk23_0,esk25_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_111,c_0_176]) ).

cnf(c_0_191,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_177]) ).

cnf(c_0_192,negated_conjecture,
    cong(esk23_0,X1,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_193,negated_conjecture,
    coll(X1,X2,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_180]),c_0_180])]) ).

fof(c_0_194,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_195,negated_conjecture,
    ( cong(esk23_0,esk22_0,esk22_0,esk22_0)
    | ~ cong(esk23_0,esk23_0,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_182])]) ).

cnf(c_0_196,negated_conjecture,
    cong(esk23_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_197,negated_conjecture,
    coll(esk23_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_49,c_0_185]) ).

cnf(c_0_198,negated_conjecture,
    para(esk23_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_108,c_0_186]) ).

cnf(c_0_199,negated_conjecture,
    eqangle(esk23_0,esk22_0,esk25_0,esk23_0,esk26_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_187,c_0_94]) ).

cnf(c_0_200,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_201,negated_conjecture,
    ( perp(esk22_0,esk23_0,esk22_0,esk25_0)
    | ~ perp(esk23_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_202,negated_conjecture,
    perp(esk23_0,esk23_0,X1,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_179])]) ).

fof(c_0_203,plain,
    ! [X4,X5,X6] :
      ( ~ cong(X4,X5,X4,X6)
      | ~ coll(X4,X5,X6)
      | midp(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_204,negated_conjecture,
    coll(X1,esk23_0,X2),
    inference(spm,[status(thm)],[c_0_52,c_0_193]) ).

cnf(c_0_205,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_194]) ).

cnf(c_0_206,negated_conjecture,
    cong(esk23_0,esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_196])]) ).

cnf(c_0_207,negated_conjecture,
    coll(esk23_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_197]) ).

cnf(c_0_208,negated_conjecture,
    para(esk24_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_130,c_0_198]) ).

cnf(c_0_209,negated_conjecture,
    eqangle(esk22_0,esk23_0,esk25_0,esk23_0,esk26_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_87,c_0_199]) ).

cnf(c_0_210,negated_conjecture,
    ( perp(esk22_0,esk23_0,esk25_0,esk22_0)
    | ~ perp(esk23_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_211,negated_conjecture,
    perp(esk23_0,esk23_0,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_200,c_0_202]) ).

cnf(c_0_212,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_203]) ).

cnf(c_0_213,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_204]),c_0_204])]) ).

cnf(c_0_214,negated_conjecture,
    cong(esk22_0,esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

fof(c_0_215,plain,
    ! [X9,X10,X11,X12] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ coll(X12,X9,X11)
      | perp(X9,X10,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])])]) ).

cnf(c_0_216,negated_conjecture,
    coll(esk21_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_207]) ).

cnf(c_0_217,negated_conjecture,
    para(esk24_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_108,c_0_208]) ).

cnf(c_0_218,negated_conjecture,
    eqangle(esk23_0,esk21_0,esk26_0,esk23_0,esk23_0,esk25_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_87,c_0_82]) ).

cnf(c_0_219,negated_conjecture,
    eqangle(esk26_0,esk23_0,esk21_0,esk23_0,esk22_0,esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_81,c_0_209]) ).

fof(c_0_220,plain,
    ! [X9,X10,X11,X12] :
      ( ~ midp(X11,X9,X10)
      | ~ perp(X12,X11,X9,X10)
      | cong(X12,X9,X12,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_221,negated_conjecture,
    perp(esk22_0,esk23_0,esk25_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211])]) ).

cnf(c_0_222,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]) ).

cnf(c_0_223,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_178,c_0_214]) ).

cnf(c_0_224,negated_conjecture,
    cyclic(esk23_0,esk22_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_150,c_0_190]) ).

cnf(c_0_225,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_215]) ).

cnf(c_0_226,negated_conjecture,
    coll(esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_216]) ).

cnf(c_0_227,negated_conjecture,
    coll(esk24_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_140,c_0_217]) ).

cnf(c_0_228,negated_conjecture,
    eqangle(esk23_0,esk25_0,esk23_0,esk22_0,esk23_0,esk21_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_81,c_0_218]) ).

cnf(c_0_229,negated_conjecture,
    ( perp(esk26_0,esk23_0,esk21_0,esk23_0)
    | ~ perp(esk22_0,esk23_0,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_219]) ).

cnf(c_0_230,plain,
    ( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
    | ~ cong(X3,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_166]) ).

cnf(c_0_231,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_220]) ).

cnf(c_0_232,negated_conjecture,
    perp(esk25_0,esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_148,c_0_221]) ).

cnf(c_0_233,negated_conjecture,
    midp(esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_234,negated_conjecture,
    ( perp(esk25_0,esk23_0,esk25_0,esk22_0)
    | ~ perp(esk23_0,esk23_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_224]) ).

cnf(c_0_235,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk22_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_225,c_0_133]) ).

cnf(c_0_236,negated_conjecture,
    coll(esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_226]) ).

cnf(c_0_237,negated_conjecture,
    coll(esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_227]) ).

cnf(c_0_238,negated_conjecture,
    ( perp(esk23_0,esk25_0,esk23_0,esk22_0)
    | ~ perp(esk23_0,esk21_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_228]) ).

cnf(c_0_239,negated_conjecture,
    ( perp(esk26_0,esk23_0,esk23_0,esk21_0)
    | ~ perp(esk22_0,esk23_0,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_229]) ).

cnf(c_0_240,plain,
    ( perp(X1,X2,X3,X2)
    | ~ cong(X3,X1,X3,X2)
    | ~ perp(X3,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_175,c_0_230]) ).

cnf(c_0_241,negated_conjecture,
    cong(esk25_0,esk22_0,esk25_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233])]) ).

cnf(c_0_242,negated_conjecture,
    ( perp(esk25_0,esk23_0,esk22_0,esk25_0)
    | ~ perp(esk23_0,esk23_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_234]) ).

cnf(c_0_243,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk23_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_235]) ).

cnf(c_0_244,negated_conjecture,
    ( coll(X1,esk21_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_236]) ).

cnf(c_0_245,negated_conjecture,
    coll(esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_52,c_0_237]) ).

cnf(c_0_246,negated_conjecture,
    ( perp(esk23_0,esk25_0,esk22_0,esk23_0)
    | ~ perp(esk23_0,esk21_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_238]) ).

cnf(c_0_247,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk26_0,esk23_0)
    | ~ perp(esk22_0,esk23_0,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_239]) ).

cnf(c_0_248,negated_conjecture,
    perp(esk22_0,esk23_0,esk25_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_232])]) ).

cnf(c_0_249,negated_conjecture,
    perp(esk25_0,esk23_0,esk22_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_211])]) ).

cnf(c_0_250,negated_conjecture,
    eqangle(esk23_0,esk25_0,esk21_0,esk23_0,esk23_0,esk22_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_187,c_0_76]) ).

cnf(c_0_251,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk21_0,esk22_0)
    | ~ midp(esk22_0,esk23_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_231,c_0_243]) ).

cnf(c_0_252,negated_conjecture,
    coll(esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_253,negated_conjecture,
    cyclic(esk25_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_121,c_0_176]) ).

cnf(c_0_254,negated_conjecture,
    ( para(X1,X2,esk22_0,esk23_0)
    | ~ perp(esk23_0,esk21_0,esk26_0,esk23_0)
    | ~ perp(X1,X2,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_246]) ).

cnf(c_0_255,negated_conjecture,
    perp(esk23_0,esk21_0,esk26_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_248])]) ).

cnf(c_0_256,negated_conjecture,
    perp(esk22_0,esk25_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_148,c_0_249]) ).

cnf(c_0_257,negated_conjecture,
    eqangle(esk25_0,esk23_0,esk21_0,esk23_0,esk23_0,esk22_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_87,c_0_250]) ).

cnf(c_0_258,negated_conjecture,
    eqangle(esk26_0,esk23_0,esk23_0,esk22_0,esk21_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_81,c_0_76]) ).

cnf(c_0_259,negated_conjecture,
    ( perp(esk23_0,esk22_0,esk23_0,esk25_0)
    | ~ perp(esk23_0,esk21_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_238]) ).

cnf(c_0_260,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk21_0,esk22_0)
    | ~ midp(esk22_0,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252])]) ).

cnf(c_0_261,negated_conjecture,
    midp(esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_169,c_0_233]) ).

cnf(c_0_262,negated_conjecture,
    ( perp(esk23_0,esk22_0,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_243]) ).

cnf(c_0_263,negated_conjecture,
    ( para(esk22_0,esk25_0,esk22_0,esk23_0)
    | ~ para(esk23_0,esk25_0,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_176]) ).

cnf(c_0_264,negated_conjecture,
    ( para(esk23_0,esk25_0,esk23_0,esk23_0)
    | ~ para(esk22_0,esk25_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_253]) ).

cnf(c_0_265,negated_conjecture,
    ( para(X1,X2,esk22_0,esk23_0)
    | ~ perp(X1,X2,esk23_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255])]) ).

cnf(c_0_266,negated_conjecture,
    perp(esk22_0,esk25_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_200,c_0_256]) ).

cnf(c_0_267,negated_conjecture,
    para(X1,esk23_0,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_108,c_0_141]) ).

fof(c_0_268,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ midp(X13,X10,X11)
      | eqangle(X9,X10,X9,X11,X12,X10,X12,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).

fof(c_0_269,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ para(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

cnf(c_0_270,negated_conjecture,
    ( para(esk25_0,esk23_0,esk21_0,esk23_0)
    | ~ para(esk23_0,esk22_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_257]) ).

cnf(c_0_271,negated_conjecture,
    ( para(esk26_0,esk23_0,esk23_0,esk22_0)
    | ~ para(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_258]) ).

cnf(c_0_272,negated_conjecture,
    ( para(X1,X2,esk23_0,esk25_0)
    | ~ perp(esk23_0,esk21_0,esk26_0,esk23_0)
    | ~ perp(X1,X2,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_259]) ).

cnf(c_0_273,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_175,c_0_166]) ).

cnf(c_0_274,negated_conjecture,
    cong(esk21_0,esk23_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_261])]) ).

cnf(c_0_275,negated_conjecture,
    perp(esk23_0,esk22_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_252])]) ).

cnf(c_0_276,negated_conjecture,
    cyclic(esk23_0,esk25_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_111,c_0_253]) ).

cnf(c_0_277,negated_conjecture,
    ( para(esk22_0,esk23_0,esk22_0,esk25_0)
    | ~ para(esk23_0,esk25_0,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_263]) ).

cnf(c_0_278,negated_conjecture,
    para(esk23_0,esk25_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266])]) ).

cnf(c_0_279,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_91]) ).

cnf(c_0_280,negated_conjecture,
    para(esk23_0,X1,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_130,c_0_267]) ).

cnf(c_0_281,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ midp(X5,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_282,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_283,negated_conjecture,
    ( para(esk25_0,esk23_0,esk23_0,esk21_0)
    | ~ para(esk23_0,esk22_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_270]) ).

cnf(c_0_284,negated_conjecture,
    ( para(esk23_0,esk22_0,esk26_0,esk23_0)
    | ~ para(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_271]) ).

cnf(c_0_285,negated_conjecture,
    ( para(X1,X2,esk23_0,esk25_0)
    | ~ perp(X1,X2,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_255])]) ).

cnf(c_0_286,negated_conjecture,
    perp(esk21_0,esk23_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_275])]) ).

cnf(c_0_287,negated_conjecture,
    ( para(esk23_0,esk23_0,esk23_0,esk25_0)
    | ~ para(esk22_0,esk23_0,esk22_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_276]) ).

cnf(c_0_288,negated_conjecture,
    para(esk22_0,esk23_0,esk22_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_278])]) ).

cnf(c_0_289,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_213])]) ).

cnf(c_0_290,negated_conjecture,
    para(esk23_0,X1,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_108,c_0_280]) ).

cnf(c_0_291,plain,
    ( para(X1,X2,X1,X3)
    | ~ circle(X4,X1,X2,X3)
    | ~ midp(X5,X2,X3)
    | ~ para(X4,X2,X4,X5) ),
    inference(spm,[status(thm)],[c_0_120,c_0_281]) ).

cnf(c_0_292,negated_conjecture,
    cyclic(esk22_0,esk22_0,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_121,c_0_144]) ).

cnf(c_0_293,negated_conjecture,
    ( para(X1,X2,esk23_0,esk21_0)
    | ~ para(esk23_0,esk22_0,esk26_0,esk23_0)
    | ~ para(X1,X2,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_294,negated_conjecture,
    para(esk23_0,esk22_0,esk26_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_286])]) ).

cnf(c_0_295,negated_conjecture,
    para(esk23_0,esk23_0,esk23_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_288])]) ).

cnf(c_0_296,negated_conjecture,
    cyclic(X1,X2,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_289,c_0_290]) ).

cnf(c_0_297,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk21_0,esk23_0,esk23_0,esk25_0)
    | ~ eqangle(X1,X2,X3,X4,esk26_0,esk23_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_258]) ).

cnf(c_0_298,negated_conjecture,
    eqangle(esk23_0,esk21_0,esk23_0,esk25_0,esk26_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_87,c_0_76]) ).

cnf(c_0_299,negated_conjecture,
    ( cong(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ midp(esk22_0,esk22_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_231,c_0_235]) ).

cnf(c_0_300,negated_conjecture,
    ( para(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ midp(X1,esk22_0,esk23_0)
    | ~ para(esk24_0,esk22_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_291,c_0_133]) ).

cnf(c_0_301,negated_conjecture,
    para(X1,esk22_0,X1,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_292]),c_0_124])]) ).

cnf(c_0_302,negated_conjecture,
    ( para(X1,X2,esk23_0,esk21_0)
    | ~ para(X1,X2,esk25_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_294])]) ).

cnf(c_0_303,negated_conjecture,
    para(esk23_0,esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_108,c_0_295]) ).

cnf(c_0_304,negated_conjecture,
    cyclic(X1,esk23_0,esk25_0,X2),
    inference(spm,[status(thm)],[c_0_111,c_0_164]) ).

cnf(c_0_305,negated_conjecture,
    cyclic(X1,esk23_0,X2,esk23_0),
    inference(spm,[status(thm)],[c_0_150,c_0_296]) ).

cnf(c_0_306,negated_conjecture,
    eqangle(esk23_0,esk21_0,esk23_0,esk25_0,esk21_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_297,c_0_298]) ).

cnf(c_0_307,negated_conjecture,
    ( cong(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ midp(esk22_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_252])]) ).

cnf(c_0_308,negated_conjecture,
    ( para(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ midp(esk22_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_309,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk25_0,esk23_0,esk26_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_187,c_0_257]) ).

cnf(c_0_310,plain,
    ( eqangle(X1,X2,X3,X1,X3,X2,X1,X2)
    | ~ cong(X3,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_187,c_0_166]) ).

fof(c_0_311,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ para(X8,X10,X9,X11)
      | ~ para(X8,X11,X9,X10)
      | midp(X12,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_312,negated_conjecture,
    para(esk23_0,esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_302,c_0_303]) ).

cnf(c_0_313,negated_conjecture,
    cong(X1,esk23_0,X1,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_304]),c_0_305]),c_0_304])]) ).

cnf(c_0_314,negated_conjecture,
    para(esk23_0,esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_100,c_0_306]) ).

cnf(c_0_315,negated_conjecture,
    cong(esk21_0,esk22_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_233])]) ).

cnf(c_0_316,negated_conjecture,
    perp(esk21_0,esk22_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_252])]) ).

cnf(c_0_317,negated_conjecture,
    ( para(esk21_0,esk22_0,esk23_0,esk21_0)
    | ~ midp(esk22_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_308]) ).

cnf(c_0_318,negated_conjecture,
    circle(esk24_0,esk21_0,esk26_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_319,negated_conjecture,
    coll(X1,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_180])]) ).

cnf(c_0_320,negated_conjecture,
    eqangle(esk23_0,esk21_0,esk25_0,esk23_0,esk26_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_87,c_0_309]) ).

cnf(c_0_321,plain,
    ( perp(X1,X2,X3,X1)
    | ~ cong(X3,X1,X3,X2)
    | ~ perp(X3,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_175,c_0_310]) ).

cnf(c_0_322,negated_conjecture,
    perp(esk21_0,esk22_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_252])]) ).

cnf(c_0_323,plain,
    ( midp(X1,X2,X3)
    | ~ para(X4,X3,X5,X2)
    | ~ para(X4,X2,X5,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_324,negated_conjecture,
    para(esk23_0,esk21_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_130,c_0_312]) ).

cnf(c_0_325,negated_conjecture,
    midp(X1,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_222,c_0_313]) ).

cnf(c_0_326,negated_conjecture,
    para(esk21_0,esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_130,c_0_314]) ).

cnf(c_0_327,negated_conjecture,
    ( para(esk26_0,esk23_0,esk22_0,esk23_0)
    | ~ para(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_271]) ).

cnf(c_0_328,negated_conjecture,
    eqangle(esk23_0,esk26_0,esk23_0,esk22_0,esk21_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_87,c_0_258]) ).

cnf(c_0_329,negated_conjecture,
    perp(esk22_0,esk23_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_315]),c_0_316])]) ).

cnf(c_0_330,negated_conjecture,
    ( para(esk23_0,esk21_0,esk21_0,esk22_0)
    | ~ midp(esk22_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_317]) ).

cnf(c_0_331,negated_conjecture,
    ( perp(esk21_0,esk26_0,esk26_0,esk28_0)
    | ~ coll(esk24_0,esk21_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_225,c_0_318]) ).

cnf(c_0_332,negated_conjecture,
    coll(esk21_0,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_319]) ).

cnf(c_0_333,negated_conjecture,
    eqangle(esk23_0,esk21_0,esk25_0,esk23_0,esk21_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_297,c_0_320]) ).

cnf(c_0_334,negated_conjecture,
    perp(esk23_0,esk22_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_274]),c_0_322])]) ).

cnf(c_0_335,negated_conjecture,
    midp(X1,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_324]),c_0_325]),c_0_312])]) ).

cnf(c_0_336,negated_conjecture,
    para(esk21_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_108,c_0_326]) ).

cnf(c_0_337,negated_conjecture,
    eqangle(esk26_0,esk23_0,esk23_0,esk21_0,esk23_0,esk22_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_187,c_0_218]) ).

cnf(c_0_338,negated_conjecture,
    ( para(esk22_0,esk23_0,esk26_0,esk23_0)
    | ~ para(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_327]) ).

cnf(c_0_339,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk23_0,esk25_0,esk23_0,esk26_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_81,c_0_328]) ).

cnf(c_0_340,negated_conjecture,
    ( para(esk23_0,esk26_0,esk23_0,esk22_0)
    | ~ para(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_328]) ).

cnf(c_0_341,negated_conjecture,
    perp(esk22_0,esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_200,c_0_329]) ).

cnf(c_0_342,negated_conjecture,
    ( para(esk23_0,esk21_0,esk22_0,esk21_0)
    | ~ midp(esk22_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_330]) ).

cnf(c_0_343,negated_conjecture,
    ( perp(esk21_0,esk26_0,esk28_0,esk26_0)
    | ~ coll(esk24_0,esk21_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_331]) ).

cnf(c_0_344,negated_conjecture,
    coll(esk21_0,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_52,c_0_332]) ).

cnf(c_0_345,negated_conjecture,
    eqangle(esk26_0,esk23_0,esk23_0,esk22_0,esk23_0,esk21_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_81,c_0_298]) ).

fof(c_0_346,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | perp(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

cnf(c_0_347,negated_conjecture,
    eqangle(esk25_0,esk23_0,esk23_0,esk21_0,esk23_0,esk25_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_187,c_0_333]) ).

cnf(c_0_348,negated_conjecture,
    ( cong(esk23_0,esk21_0,esk23_0,esk23_0)
    | ~ midp(esk22_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_231,c_0_334]) ).

cnf(c_0_349,negated_conjecture,
    midp(X1,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_169,c_0_335]) ).

cnf(c_0_350,negated_conjecture,
    cyclic(esk23_0,esk23_0,esk21_0,X1),
    inference(spm,[status(thm)],[c_0_115,c_0_336]) ).

cnf(c_0_351,negated_conjecture,
    eqangle(esk23_0,esk26_0,esk23_0,esk21_0,esk23_0,esk22_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_87,c_0_337]) ).

cnf(c_0_352,negated_conjecture,
    ( para(esk22_0,esk23_0,esk23_0,esk26_0)
    | ~ para(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_108,c_0_338]) ).

cnf(c_0_353,negated_conjecture,
    ( para(esk21_0,esk23_0,esk23_0,esk25_0)
    | ~ para(esk23_0,esk26_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_339]) ).

cnf(c_0_354,negated_conjecture,
    para(esk23_0,esk26_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_285]),c_0_286])]) ).

cnf(c_0_355,negated_conjecture,
    ( cong(esk22_0,esk23_0,esk22_0,esk21_0)
    | ~ midp(esk23_0,esk23_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_231,c_0_341]) ).

cnf(c_0_356,negated_conjecture,
    ( para(esk22_0,esk21_0,esk23_0,esk21_0)
    | ~ midp(esk22_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_342]) ).

cnf(c_0_357,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ circle(X4,X3,X1,X2)
    | ~ midp(X2,X1,X2)
    | ~ coll(X3,X4,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_281]) ).

cnf(c_0_358,negated_conjecture,
    ( perp(esk28_0,esk26_0,esk21_0,esk26_0)
    | ~ coll(esk24_0,esk21_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_343]) ).

cnf(c_0_359,negated_conjecture,
    coll(X1,X2,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_344]),c_0_344])]) ).

cnf(c_0_360,negated_conjecture,
    ( perp(esk21_0,esk23_0,esk23_0,esk25_0)
    | ~ perp(esk26_0,esk23_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_76]) ).

cnf(c_0_361,negated_conjecture,
    ( perp(esk26_0,esk23_0,esk23_0,esk22_0)
    | ~ perp(esk23_0,esk21_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_345]) ).

cnf(c_0_362,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_363,negated_conjecture,
    ( para(esk21_0,esk23_0,esk25_0,esk23_0)
    | ~ para(esk23_0,esk22_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_270]) ).

cnf(c_0_364,negated_conjecture,
    eqangle(esk25_0,esk23_0,esk23_0,esk25_0,esk23_0,esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_75,c_0_347]) ).

cnf(c_0_365,negated_conjecture,
    cong(esk23_0,esk21_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_349])]) ).

cnf(c_0_366,negated_conjecture,
    perp(X1,esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_148,c_0_202]) ).

cnf(c_0_367,negated_conjecture,
    cyclic(esk23_0,esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_350]),c_0_350])]) ).

cnf(c_0_368,negated_conjecture,
    eqangle(esk23_0,esk21_0,esk23_0,esk26_0,esk23_0,esk25_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_187,c_0_351]) ).

cnf(c_0_369,negated_conjecture,
    ( para(X1,X2,esk23_0,esk26_0)
    | ~ para(esk21_0,esk23_0,esk23_0,esk25_0)
    | ~ para(X1,X2,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_282,c_0_352]) ).

cnf(c_0_370,negated_conjecture,
    para(esk21_0,esk23_0,esk23_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_354])]) ).

cnf(c_0_371,plain,
    ( para(X1,X2,X3,X1)
    | ~ cong(X3,X1,X3,X2)
    | ~ para(X3,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_120,c_0_310]) ).

cnf(c_0_372,negated_conjecture,
    cong(esk22_0,esk23_0,esk22_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_335])]) ).

cnf(c_0_373,negated_conjecture,
    para(esk22_0,esk21_0,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_233])]) ).

cnf(c_0_374,negated_conjecture,
    para(esk23_0,esk25_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_130,c_0_109]) ).

cnf(c_0_375,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ circle(X4,X3,X1,X2)
    | ~ midp(X2,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_213])]) ).

cnf(c_0_376,negated_conjecture,
    ( para(X1,X2,esk21_0,esk26_0)
    | ~ perp(X1,X2,esk28_0,esk26_0)
    | ~ coll(esk24_0,esk21_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_358]) ).

cnf(c_0_377,negated_conjecture,
    coll(X1,esk21_0,X2),
    inference(spm,[status(thm)],[c_0_52,c_0_359]) ).

cnf(c_0_378,negated_conjecture,
    ( perp(esk21_0,esk23_0,esk23_0,esk25_0)
    | ~ perp(esk23_0,esk21_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_379,negated_conjecture,
    ( perp(esk21_0,esk23_0,X1,X2)
    | ~ perp(esk25_0,esk23_0,X1,X2)
    | ~ para(esk23_0,esk22_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_380,negated_conjecture,
    ( perp(esk25_0,esk23_0,esk23_0,esk25_0)
    | ~ perp(esk23_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_364]) ).

cnf(c_0_381,negated_conjecture,
    perp(esk23_0,esk21_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_365]),c_0_366])]) ).

cnf(c_0_382,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_91]) ).

cnf(c_0_383,negated_conjecture,
    cyclic(esk23_0,X1,esk21_0,X2),
    inference(spm,[status(thm)],[c_0_150,c_0_367]) ).

cnf(c_0_384,negated_conjecture,
    eqangle(esk23_0,esk25_0,esk23_0,esk22_0,esk23_0,esk21_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_81,c_0_368]) ).

cnf(c_0_385,negated_conjecture,
    ( para(X1,X2,esk23_0,esk26_0)
    | ~ para(X1,X2,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_369,c_0_370])]) ).

cnf(c_0_386,negated_conjecture,
    para(esk23_0,esk21_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_373])]) ).

cnf(c_0_387,negated_conjecture,
    para(esk23_0,esk25_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_108,c_0_374]) ).

cnf(c_0_388,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X2,X1,X5,X6) ),
    inference(spm,[status(thm)],[c_0_87,c_0_91]) ).

cnf(c_0_389,negated_conjecture,
    para(esk23_0,esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_108,c_0_314]) ).

cnf(c_0_390,negated_conjecture,
    ( cyclic(esk22_0,esk23_0,esk21_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_375,c_0_133]) ).

cnf(c_0_391,negated_conjecture,
    ( para(X1,X2,esk21_0,esk26_0)
    | ~ perp(X1,X2,esk28_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_376,c_0_377])]) ).

cnf(c_0_392,negated_conjecture,
    perp(esk21_0,esk26_0,esk28_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_377])]) ).

cnf(c_0_393,negated_conjecture,
    ( perp(esk21_0,esk23_0,esk25_0,esk23_0)
    | ~ perp(esk23_0,esk21_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_378]) ).

cnf(c_0_394,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk23_0,esk25_0)
    | ~ perp(esk26_0,esk23_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_298]) ).

cnf(c_0_395,negated_conjecture,
    ( perp(esk26_0,esk23_0,esk23_0,esk22_0)
    | ~ perp(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_258]) ).

cnf(c_0_396,negated_conjecture,
    ( perp(esk21_0,esk23_0,X1,X2)
    | ~ perp(esk25_0,esk23_0,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_294])]) ).

cnf(c_0_397,negated_conjecture,
    perp(esk25_0,esk23_0,esk23_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_381])]) ).

cnf(c_0_398,negated_conjecture,
    ( perp(esk25_0,esk23_0,X1,X2)
    | ~ perp(esk23_0,esk21_0,X1,X2)
    | ~ para(esk23_0,esk22_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_362,c_0_283]) ).

cnf(c_0_399,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_175,c_0_382]) ).

cnf(c_0_400,negated_conjecture,
    perp(esk23_0,esk23_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_179]),c_0_179])]) ).

cnf(c_0_401,plain,
    ( eqangle(X1,X2,X3,X2,X1,X4,X3,X4)
    | ~ cyclic(X2,X4,X1,X3) ),
    inference(spm,[status(thm)],[c_0_75,c_0_110]) ).

cnf(c_0_402,negated_conjecture,
    cyclic(X1,esk23_0,esk21_0,X2),
    inference(spm,[status(thm)],[c_0_111,c_0_383]) ).

cnf(c_0_403,negated_conjecture,
    ( para(esk23_0,esk25_0,esk23_0,esk22_0)
    | ~ para(esk23_0,esk21_0,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_384]) ).

cnf(c_0_404,negated_conjecture,
    para(esk23_0,esk21_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_385,c_0_386]) ).

cnf(c_0_405,negated_conjecture,
    cyclic(esk25_0,esk25_0,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_115,c_0_387]) ).

cnf(c_0_406,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_100,c_0_388]) ).

cnf(c_0_407,negated_conjecture,
    cyclic(esk21_0,esk21_0,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_115,c_0_389]) ).

cnf(c_0_408,negated_conjecture,
    ( cyclic(esk22_0,esk23_0,esk24_0,esk21_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_390]) ).

cnf(c_0_409,negated_conjecture,
    ( perp(esk22_0,esk23_0,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_235]) ).

fof(c_0_410,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | ~ para(X5,X6,X7,X8)
      | eqangle(X5,X8,X7,X8,X7,X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

cnf(c_0_411,negated_conjecture,
    cyclic(esk26_0,esk26_0,esk21_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_391]),c_0_392])]) ).

cnf(c_0_412,negated_conjecture,
    ( perp(esk25_0,esk23_0,esk21_0,esk23_0)
    | ~ perp(esk23_0,esk21_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_393]) ).

cnf(c_0_413,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk23_0,esk25_0)
    | ~ perp(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_394,c_0_395]) ).

cnf(c_0_414,negated_conjecture,
    perp(esk21_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_396,c_0_397]) ).

cnf(c_0_415,negated_conjecture,
    ( perp(esk25_0,esk23_0,X1,X2)
    | ~ perp(esk23_0,esk21_0,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_294])]) ).

cnf(c_0_416,negated_conjecture,
    perp(esk23_0,esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_312]),c_0_400])]) ).

cnf(c_0_417,negated_conjecture,
    eqangle(esk21_0,X1,esk26_0,X1,esk23_0,esk25_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_401]),c_0_402])]) ).

cnf(c_0_418,negated_conjecture,
    para(esk23_0,esk25_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_404])]) ).

cnf(c_0_419,negated_conjecture,
    cyclic(esk25_0,esk23_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_405]),c_0_405])]) ).

cnf(c_0_420,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk26_0,esk23_0,esk23_0,esk22_0)
    | ~ eqangle(X1,X2,X3,X4,esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_76]) ).

cnf(c_0_421,negated_conjecture,
    para(esk26_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_406,c_0_354]) ).

cnf(c_0_422,plain,
    ( eqangle(X1,X2,X2,X3,X4,X1,X4,X3)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(spm,[status(thm)],[c_0_87,c_0_110]) ).

cnf(c_0_423,negated_conjecture,
    cyclic(esk21_0,esk23_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_407]),c_0_407])]) ).

cnf(c_0_424,negated_conjecture,
    ( para(esk23_0,esk21_0,esk23_0,esk25_0)
    | ~ para(esk26_0,esk23_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_298]) ).

cnf(c_0_425,negated_conjecture,
    ( cyclic(esk22_0,esk24_0,esk23_0,esk21_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_408]) ).

cnf(c_0_426,negated_conjecture,
    ( cyclic(esk22_0,esk21_0,esk23_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_390]) ).

cnf(c_0_427,negated_conjecture,
    ( perp(esk22_0,esk23_0,esk22_0,esk21_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_409]) ).

cnf(c_0_428,negated_conjecture,
    eqangle(esk26_0,esk23_0,esk21_0,esk23_0,esk23_0,esk22_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_187,c_0_82]) ).

cnf(c_0_429,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ cyclic(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_410]) ).

cnf(c_0_430,negated_conjecture,
    cyclic(esk26_0,esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_411]),c_0_411])]) ).

cnf(c_0_431,negated_conjecture,
    ( para(X1,X2,esk21_0,esk23_0)
    | ~ perp(esk23_0,esk21_0,esk23_0,esk25_0)
    | ~ perp(X1,X2,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_412]) ).

cnf(c_0_432,negated_conjecture,
    perp(esk23_0,esk21_0,esk23_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_414])]) ).

cnf(c_0_433,negated_conjecture,
    perp(esk25_0,esk23_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_415,c_0_416])]) ).

cnf(c_0_434,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk21_0,esk23_0,esk26_0,esk23_0)
    | ~ eqangle(X1,X2,X3,X4,esk23_0,esk25_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_88]) ).

cnf(c_0_435,negated_conjecture,
    para(esk21_0,X1,esk26_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_417]),c_0_418])]) ).

cnf(c_0_436,negated_conjecture,
    cyclic(esk25_0,X1,esk23_0,X2),
    inference(spm,[status(thm)],[c_0_150,c_0_419]) ).

cnf(c_0_437,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_420]),c_0_421])]) ).

cnf(c_0_438,plain,
    ( eqangle(X1,X2,X1,X3,X2,X4,X4,X3)
    | ~ cyclic(X2,X3,X4,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_422]) ).

cnf(c_0_439,negated_conjecture,
    cyclic(esk21_0,X1,esk23_0,X2),
    inference(spm,[status(thm)],[c_0_150,c_0_423]) ).

cnf(c_0_440,negated_conjecture,
    eqangle(esk23_0,esk25_0,esk23_0,esk21_0,esk23_0,esk22_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_187,c_0_298]) ).

cnf(c_0_441,negated_conjecture,
    ( para(esk26_0,esk23_0,esk23_0,esk22_0)
    | ~ para(esk23_0,esk21_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_345]) ).

cnf(c_0_442,negated_conjecture,
    ( para(esk23_0,esk21_0,esk23_0,esk25_0)
    | ~ para(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_424,c_0_271]) ).

cnf(c_0_443,negated_conjecture,
    ( cyclic(esk22_0,esk24_0,esk21_0,esk23_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_425]) ).

cnf(c_0_444,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X4,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_110]) ).

cnf(c_0_445,negated_conjecture,
    ( cyclic(esk21_0,esk22_0,esk23_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_426]) ).

cnf(c_0_446,negated_conjecture,
    ( perp(esk22_0,esk21_0,esk22_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_427]) ).

cnf(c_0_447,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk23_0,esk22_0,esk23_0,esk25_0)
    | ~ eqangle(X1,X2,X3,X4,esk26_0,esk23_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_428]) ).

cnf(c_0_448,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X1,X2)
    | ~ cyclic(X4,X3,X1,X2)
    | ~ para(X4,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_429]) ).

cnf(c_0_449,negated_conjecture,
    cyclic(esk26_0,X1,esk21_0,X2),
    inference(spm,[status(thm)],[c_0_150,c_0_430]) ).

cnf(c_0_450,negated_conjecture,
    ( para(X1,X2,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk25_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_432])]) ).

cnf(c_0_451,negated_conjecture,
    perp(X1,X2,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_148,c_0_433]) ).

cnf(c_0_452,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,esk23_0,esk25_0,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_434]),c_0_435])]) ).

cnf(c_0_453,negated_conjecture,
    cyclic(esk25_0,X1,X2,esk23_0),
    inference(spm,[status(thm)],[c_0_121,c_0_436]) ).

cnf(c_0_454,negated_conjecture,
    para(X1,esk21_0,X1,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_439])]) ).

cnf(c_0_455,negated_conjecture,
    ( para(esk23_0,esk25_0,esk23_0,esk21_0)
    | ~ para(esk23_0,esk22_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_440]) ).

cnf(c_0_456,negated_conjecture,
    ( para(esk23_0,esk22_0,esk26_0,esk23_0)
    | ~ para(esk23_0,esk21_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_441]) ).

cnf(c_0_457,negated_conjecture,
    ( para(esk23_0,esk21_0,esk23_0,esk25_0)
    | ~ para(esk23_0,esk26_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_442,c_0_353]) ).

cnf(c_0_458,plain,
    ( perp(X1,X2,X3,X2)
    | ~ cyclic(X2,X4,X1,X3)
    | ~ perp(X1,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_175,c_0_401]) ).

cnf(c_0_459,negated_conjecture,
    ( cyclic(esk24_0,esk22_0,esk21_0,esk23_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_443]) ).

cnf(c_0_460,plain,
    ( perp(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X4,X1)
    | ~ perp(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_175,c_0_444]) ).

cnf(c_0_461,negated_conjecture,
    ( cyclic(esk21_0,esk23_0,esk22_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_445]) ).

cnf(c_0_462,negated_conjecture,
    perp(esk22_0,esk21_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_252])]) ).

cnf(c_0_463,negated_conjecture,
    ( eqangle(esk21_0,esk23_0,esk21_0,X1,esk23_0,esk22_0,esk23_0,esk25_0)
    | ~ para(esk26_0,X1,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_448]),c_0_449])]) ).

cnf(c_0_464,negated_conjecture,
    para(X1,X2,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_450,c_0_451])]) ).

cnf(c_0_465,negated_conjecture,
    para(X1,esk25_0,X1,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_110]),c_0_453])]) ).

cnf(c_0_466,negated_conjecture,
    para(X1,esk21_0,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_108,c_0_454]) ).

cnf(c_0_467,negated_conjecture,
    ( midp(X1,esk21_0,esk25_0)
    | ~ midp(X1,esk23_0,esk23_0)
    | ~ para(esk23_0,esk21_0,esk23_0,esk25_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_455]),c_0_456]) ).

cnf(c_0_468,negated_conjecture,
    para(esk23_0,esk21_0,esk23_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_457,c_0_354])]) ).

cnf(c_0_469,negated_conjecture,
    ( perp(esk21_0,esk24_0,esk23_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_459]),c_0_322])]) ).

cnf(c_0_470,negated_conjecture,
    ( perp(esk24_0,esk21_0,esk24_0,esk23_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_461]),c_0_462])]) ).

cnf(c_0_471,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk21_0,X1,esk23_0,esk22_0,esk23_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_463,c_0_464])]) ).

cnf(c_0_472,negated_conjecture,
    para(X1,esk22_0,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_130,c_0_465]) ).

cnf(c_0_473,negated_conjecture,
    para(esk21_0,X1,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_406,c_0_466]) ).

cnf(c_0_474,negated_conjecture,
    midp(X1,esk21_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_467,c_0_468])]),c_0_325])]) ).

cnf(c_0_475,negated_conjecture,
    perp(esk21_0,esk24_0,esk23_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_469,c_0_170])]) ).

cnf(c_0_476,negated_conjecture,
    perp(esk24_0,esk21_0,esk24_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_470,c_0_170])]) ).

cnf(c_0_477,negated_conjecture,
    para(esk21_0,esk23_0,esk21_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_471]),c_0_472])]) ).

cnf(c_0_478,negated_conjecture,
    midp(X1,X2,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_473]),c_0_474]),c_0_473])]) ).

cnf(c_0_479,negated_conjecture,
    perp(esk21_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_200,c_0_475]) ).

cnf(c_0_480,negated_conjecture,
    ( cong(esk24_0,esk24_0,esk24_0,esk23_0)
    | ~ midp(esk21_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_231,c_0_476]) ).

cnf(c_0_481,negated_conjecture,
    midp(X1,X2,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_477]),c_0_478]),c_0_464])]) ).

cnf(c_0_482,negated_conjecture,
    ( perp(esk25_0,esk23_0,esk21_0,esk23_0)
    | ~ perp(esk23_0,esk22_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_257]) ).

cnf(c_0_483,plain,
    ( eqangle(X1,X2,X1,X3,X1,X3,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_87,c_0_166]) ).

cnf(c_0_484,negated_conjecture,
    ( cong(esk21_0,esk24_0,esk21_0,esk23_0)
    | ~ midp(esk24_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_231,c_0_479]) ).

fof(c_0_485,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ para(X10,X11,X8,X9)
      | ~ coll(X11,X7,X9)
      | midp(X11,X7,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_486,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_120,c_0_166]) ).

cnf(c_0_487,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_480,c_0_481])]) ).

cnf(c_0_488,negated_conjecture,
    ( perp(esk25_0,esk23_0,esk23_0,esk21_0)
    | ~ perp(esk23_0,esk22_0,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_482]) ).

cnf(c_0_489,negated_conjecture,
    ( perp(esk23_0,esk22_0,esk26_0,esk23_0)
    | ~ perp(esk21_0,esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_395]) ).

cnf(c_0_490,plain,
    ( para(X1,X2,X1,X3)
    | ~ cong(X2,X1,X2,X3)
    | ~ para(X1,X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_120,c_0_483]) ).

cnf(c_0_491,negated_conjecture,
    cong(esk21_0,esk24_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_484,c_0_481])]) ).

cnf(c_0_492,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_485]) ).

cnf(c_0_493,negated_conjecture,
    para(esk24_0,esk24_0,esk24_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_487]),c_0_141])]) ).

fof(c_0_494,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( ( midp(esk6_6(X18,X19,X20,X21,X22,X23),X18,X21)
        | ~ midp(X22,X18,X19)
        | ~ midp(X23,X20,X21) )
      & ( para(esk6_6(X18,X19,X20,X21,X22,X23),X22,X19,X21)
        | ~ midp(X22,X18,X19)
        | ~ midp(X23,X20,X21) )
      & ( para(esk6_6(X18,X19,X20,X21,X22,X23),X23,X18,X20)
        | ~ midp(X22,X18,X19)
        | ~ midp(X23,X20,X21) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).

cnf(c_0_495,negated_conjecture,
    ( para(X1,X2,esk23_0,esk21_0)
    | ~ perp(esk23_0,esk22_0,esk26_0,esk23_0)
    | ~ perp(X1,X2,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_488]) ).

cnf(c_0_496,negated_conjecture,
    perp(esk23_0,esk22_0,esk26_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_489,c_0_414])]) ).

cnf(c_0_497,negated_conjecture,
    para(esk24_0,esk21_0,esk24_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_490,c_0_491]),c_0_464])]) ).

cnf(c_0_498,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_492,c_0_213])]) ).

cnf(c_0_499,negated_conjecture,
    para(esk24_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_108,c_0_493]) ).

cnf(c_0_500,plain,
    ( para(esk6_6(X5,X6,X2,X3,X4,X1),X1,X5,X2)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_494]) ).

cnf(c_0_501,negated_conjecture,
    ( para(X1,X2,esk23_0,esk21_0)
    | ~ perp(X1,X2,esk25_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_495,c_0_496])]) ).

cnf(c_0_502,negated_conjecture,
    para(esk24_0,esk23_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_130,c_0_497]) ).

cnf(c_0_503,negated_conjecture,
    midp(esk24_0,X1,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_499]),c_0_481])]) ).

cnf(c_0_504,plain,
    ( para(X1,X2,esk6_6(X1,X3,X2,X4,X5,X6),X6)
    | ~ midp(X5,X1,X3)
    | ~ midp(X6,X2,X4) ),
    inference(spm,[status(thm)],[c_0_130,c_0_500]) ).

cnf(c_0_505,negated_conjecture,
    para(X1,X2,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_501,c_0_451])]) ).

cnf(c_0_506,negated_conjecture,
    para(esk23_0,esk21_0,esk21_0,X1),
    inference(spm,[status(thm)],[c_0_406,c_0_477]) ).

cnf(c_0_507,negated_conjecture,
    midp(esk23_0,X1,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_502]),c_0_503])]) ).

cnf(c_0_508,plain,
    ( para(esk6_6(X5,X6,X2,X3,X4,X1),X4,X6,X3)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_494]) ).

cnf(c_0_509,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,esk6_6(X4,X5,X3,X6,X7,X2))
    | ~ midp(X7,X4,X5)
    | ~ midp(X2,X3,X6)
    | ~ para(X4,X2,esk6_6(X4,X5,X3,X6,X7,X2),X3) ),
    inference(spm,[status(thm)],[c_0_323,c_0_504]) ).

cnf(c_0_510,negated_conjecture,
    para(esk23_0,esk21_0,X1,X2),
    inference(spm,[status(thm)],[c_0_130,c_0_505]) ).

cnf(c_0_511,negated_conjecture,
    midp(X1,esk23_0,X2),
    inference(spm,[status(thm)],[c_0_169,c_0_481]) ).

cnf(c_0_512,negated_conjecture,
    midp(esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_498,c_0_506]),c_0_507])]) ).

cnf(c_0_513,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,esk6_6(X4,X5,X6,X2,X3,X7),X5)
    | ~ midp(X3,X4,X5)
    | ~ midp(X7,X6,X2)
    | ~ para(esk6_6(X4,X5,X6,X2,X3,X7),X2,X5,X3) ),
    inference(spm,[status(thm)],[c_0_323,c_0_508]) ).

cnf(c_0_514,plain,
    ( para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X3,X1)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(spm,[status(thm)],[c_0_108,c_0_500]) ).

cnf(c_0_515,negated_conjecture,
    midp(X1,esk21_0,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_509,c_0_510]),c_0_511]),c_0_511]),c_0_512])]) ).

cnf(c_0_516,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X3,X6)
    | ~ midp(X7,X4,X8)
    | ~ para(X1,X2,esk6_6(X3,X6,X4,X8,X5,X7),X7) ),
    inference(spm,[status(thm)],[c_0_282,c_0_500]) ).

cnf(c_0_517,plain,
    ( para(X1,X2,esk6_6(X3,X1,X4,X2,X5,X6),X5)
    | ~ midp(X5,X3,X1)
    | ~ midp(X6,X4,X2) ),
    inference(spm,[status(thm)],[c_0_130,c_0_508]) ).

cnf(c_0_518,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,esk6_6(X3,X4,X4,X2,X3,X2),X4)
    | ~ midp(X3,X3,X4)
    | ~ midp(X2,X4,X2) ),
    inference(spm,[status(thm)],[c_0_513,c_0_514]) ).

cnf(c_0_519,negated_conjecture,
    midp(X1,X2,esk21_0),
    inference(spm,[status(thm)],[c_0_169,c_0_515]) ).

cnf(c_0_520,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X3,X1)
    | ~ midp(X5,X4,X2) ),
    inference(spm,[status(thm)],[c_0_516,c_0_517]) ).

cnf(c_0_521,negated_conjecture,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_518,c_0_519]),c_0_519]),c_0_515])]) ).

cnf(c_0_522,negated_conjecture,
    ~ para(esk21_0,esk22_0,esk27_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_523,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_520,c_0_521]),c_0_521])]) ).

cnf(c_0_524,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_523])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 19:58:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/2.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/2.42  # Preprocessing time       : 0.025 s
% 0.23/2.42  
% 0.23/2.42  # Proof found!
% 0.23/2.42  # SZS status Theorem
% 0.23/2.42  # SZS output start CNFRefutation
% See solution above
% 0.23/2.42  # Proof object total steps             : 525
% 0.23/2.42  # Proof object clause steps            : 434
% 0.23/2.42  # Proof object formula steps           : 91
% 0.23/2.42  # Proof object conjectures             : 344
% 0.23/2.42  # Proof object clause conjectures      : 341
% 0.23/2.42  # Proof object formula conjectures     : 3
% 0.23/2.42  # Proof object initial clauses used    : 52
% 0.23/2.42  # Proof object initial formulas used   : 45
% 0.23/2.42  # Proof object generating inferences   : 331
% 0.23/2.42  # Proof object simplifying inferences  : 213
% 0.23/2.42  # Training examples: 0 positive, 0 negative
% 0.23/2.42  # Parsed axioms                        : 95
% 0.23/2.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/2.42  # Initial clauses                      : 120
% 0.23/2.42  # Removed in clause preprocessing      : 0
% 0.23/2.42  # Initial clauses in saturation        : 120
% 0.23/2.42  # Processed clauses                    : 12833
% 0.23/2.42  # ...of these trivial                  : 2957
% 0.23/2.42  # ...subsumed                          : 2519
% 0.23/2.42  # ...remaining for further processing  : 7357
% 0.23/2.42  # Other redundant clauses eliminated   : 0
% 0.23/2.42  # Clauses deleted for lack of memory   : 0
% 0.23/2.42  # Backward-subsumed                    : 394
% 0.23/2.42  # Backward-rewritten                   : 5165
% 0.23/2.42  # Generated clauses                    : 135758
% 0.23/2.42  # ...of the previous two non-trivial   : 114272
% 0.23/2.42  # Contextual simplify-reflections      : 252
% 0.23/2.42  # Paramodulations                      : 135758
% 0.23/2.42  # Factorizations                       : 0
% 0.23/2.42  # Equation resolutions                 : 0
% 0.23/2.42  # Current number of processed clauses  : 1798
% 0.23/2.42  #    Positive orientable unit clauses  : 1324
% 0.23/2.42  #    Positive unorientable unit clauses: 0
% 0.23/2.42  #    Negative unit clauses             : 0
% 0.23/2.42  #    Non-unit-clauses                  : 474
% 0.23/2.42  # Current number of unprocessed clauses: 13432
% 0.23/2.42  # ...number of literals in the above   : 30942
% 0.23/2.42  # Current number of archived formulas  : 0
% 0.23/2.42  # Current number of archived clauses   : 5559
% 0.23/2.42  # Clause-clause subsumption calls (NU) : 791402
% 0.23/2.42  # Rec. Clause-clause subsumption calls : 556944
% 0.23/2.42  # Non-unit clause-clause subsumptions  : 2884
% 0.23/2.42  # Unit Clause-clause subsumption calls : 776238
% 0.23/2.42  # Rewrite failures with RHS unbound    : 0
% 0.23/2.42  # BW rewrite match attempts            : 82592
% 0.23/2.42  # BW rewrite match successes           : 3657
% 0.23/2.42  # Condensation attempts                : 0
% 0.23/2.42  # Condensation successes               : 0
% 0.23/2.42  # Termbank termtop insertions          : 1803526
% 0.23/2.42  
% 0.23/2.42  # -------------------------------------------------
% 0.23/2.42  # User time                : 1.872 s
% 0.23/2.42  # System time              : 0.028 s
% 0.23/2.42  # Total time               : 1.900 s
% 0.23/2.42  # Maximum resident set size: 55472 pages
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49  eprover: No such file or directory
% 0.23/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------