TSTP Solution File: GEO629+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.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 04:06:48 EDT 2022

% Result   : Theorem 0.34s 37.52s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   73
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  599 ( 259 unt;   0 def)
%            Number of atoms       : 1097 (   0 equ)
%            Maximal formula atoms :   14 (   1 avg)
%            Number of connectives :  890 ( 392   ~; 395   |;  61   &)
%                                         (   0 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   15 (  15 usr;  14 con; 0-4 aty)
%            Number of variables   :  918 (  34 sgn 394   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110992,conjecture,
    ! [X1,X2,X3,X8,X19,X20,X21,X9,X6,X13,X22,X23,X24,X25] :
      ( ( circle(X8,X1,X2,X3)
        & circle(X8,X1,X19,X23)
        & perp(X20,X19,X1,X3)
        & coll(X20,X1,X3)
        & perp(X21,X19,X1,X2)
        & coll(X21,X1,X2)
        & circle(X8,X1,X9,X24)
        & perp(X6,X9,X1,X3)
        & coll(X6,X1,X3)
        & perp(X13,X9,X1,X2)
        & coll(X13,X1,X2)
        & para(X20,X21,X22,X9)
        & circle(X8,X1,X22,X25) )
     => para(X22,X19,X13,X6) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL8110992) ).

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

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

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

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

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

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

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

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

fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

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

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

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

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

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & para(X5,X6,X2,X3)
        & coll(X6,X1,X3) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

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

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

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

fof(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD54) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD57,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10)
        & cyclic(X1,X2,X9,X10) )
     => perp(X9,X1,X1,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

fof(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

fof(ruleD10,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD71,axiom,
    ! [X1,X2,X3,X4] :
      ( ( eqangle(X1,X2,X3,X4,X3,X4,X1,X2)
        & ~ para(X1,X2,X3,X4) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD71) ).

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

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

fof(ruleD55,axiom,
    ! [X1,X2,X7,X8] :
      ( ( midp(X7,X1,X2)
        & perp(X8,X7,X1,X2) )
     => cong(X8,X1,X8,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).

fof(ruleD53,axiom,
    ! [X1,X2,X3,X8] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X8,X1,X3) )
     => perp(X1,X2,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).

fof(ruleD52,axiom,
    ! [X1,X2,X3,X7] :
      ( ( perp(X1,X2,X2,X3)
        & midp(X7,X1,X3) )
     => cong(X1,X7,X2,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).

fof(ruleD20,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(c_0_41,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X19,X20,X21,X9,X6,X13,X22,X23,X24,X25] :
        ( ( circle(X8,X1,X2,X3)
          & circle(X8,X1,X19,X23)
          & perp(X20,X19,X1,X3)
          & coll(X20,X1,X3)
          & perp(X21,X19,X1,X2)
          & coll(X21,X1,X2)
          & circle(X8,X1,X9,X24)
          & perp(X6,X9,X1,X3)
          & coll(X6,X1,X3)
          & perp(X13,X9,X1,X2)
          & coll(X13,X1,X2)
          & para(X20,X21,X22,X9)
          & circle(X8,X1,X22,X25) )
       => para(X22,X19,X13,X6) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110992]) ).

fof(c_0_42,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])]) ).

fof(c_0_43,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & circle(esk24_0,esk21_0,esk25_0,esk32_0)
    & perp(esk26_0,esk25_0,esk21_0,esk23_0)
    & coll(esk26_0,esk21_0,esk23_0)
    & perp(esk27_0,esk25_0,esk21_0,esk22_0)
    & coll(esk27_0,esk21_0,esk22_0)
    & circle(esk24_0,esk21_0,esk28_0,esk33_0)
    & perp(esk29_0,esk28_0,esk21_0,esk23_0)
    & coll(esk29_0,esk21_0,esk23_0)
    & perp(esk30_0,esk28_0,esk21_0,esk22_0)
    & coll(esk30_0,esk21_0,esk22_0)
    & para(esk26_0,esk27_0,esk31_0,esk28_0)
    & circle(esk24_0,esk21_0,esk31_0,esk34_0)
    & ~ para(esk31_0,esk25_0,esk30_0,esk29_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).

fof(c_0_44,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_45,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_46,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    para(esk26_0,esk27_0,esk31_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

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_44]) ).

cnf(c_0_50,negated_conjecture,
    coll(esk27_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_51,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_52,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    para(esk31_0,esk28_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

fof(c_0_54,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_55,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk21_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    para(esk31_0,esk28_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_60,negated_conjecture,
    coll(esk21_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_61,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])]) ).

fof(c_0_62,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_63,negated_conjecture,
    ( para(X1,X2,esk26_0,esk27_0)
    | ~ para(X1,X2,esk31_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_53]) ).

cnf(c_0_64,negated_conjecture,
    para(esk27_0,esk26_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_46,c_0_58]) ).

cnf(c_0_65,negated_conjecture,
    ( coll(X1,esk27_0,esk21_0)
    | ~ coll(esk21_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_66,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_61]) ).

cnf(c_0_67,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_68,negated_conjecture,
    para(esk27_0,esk26_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    coll(esk27_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_65,c_0_60]) ).

fof(c_0_70,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

fof(c_0_71,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_72,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])]) ).

fof(c_0_73,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_74,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    para(esk27_0,esk26_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_68]) ).

cnf(c_0_76,negated_conjecture,
    coll(esk27_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_55,c_0_69]) ).

cnf(c_0_77,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_78,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_71]) ).

cnf(c_0_79,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_80,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_81,negated_conjecture,
    ( cyclic(esk26_0,X1,esk27_0,esk27_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_82,negated_conjecture,
    ( coll(X1,esk27_0,esk27_0)
    | ~ coll(esk27_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_76]) ).

fof(c_0_83,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_84,negated_conjecture,
    para(esk26_0,esk27_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_63,c_0_47]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk27_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_77,c_0_75]) ).

cnf(c_0_86,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_78,c_0_79]) ).

cnf(c_0_87,negated_conjecture,
    ( cyclic(X1,esk26_0,esk27_0,esk27_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_82,c_0_76]) ).

cnf(c_0_89,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_90,negated_conjecture,
    ( cyclic(esk27_0,X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_84]) ).

cnf(c_0_91,negated_conjecture,
    coll(esk26_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_49,c_0_85]) ).

fof(c_0_92,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_93,negated_conjecture,
    ( cong(esk27_0,esk26_0,esk26_0,esk26_0)
    | ~ cyclic(esk27_0,esk26_0,esk27_0,esk26_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).

cnf(c_0_94,negated_conjecture,
    ( cyclic(esk27_0,esk26_0,X1,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk26_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_55,c_0_91]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk26_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_97,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_98,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_99,negated_conjecture,
    ( cong(esk27_0,esk26_0,esk26_0,esk26_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk21_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_49,c_0_96]) ).

fof(c_0_101,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])]) ).

fof(c_0_102,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_103,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_104,negated_conjecture,
    ( cong(esk26_0,esk26_0,esk27_0,esk26_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_105,negated_conjecture,
    coll(esk21_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_55,c_0_100]) ).

fof(c_0_106,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])]) ).

cnf(c_0_107,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_101]) ).

cnf(c_0_108,negated_conjecture,
    para(esk26_0,esk27_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_46,c_0_68]) ).

cnf(c_0_109,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_110,negated_conjecture,
    ( cong(esk26_0,esk26_0,esk26_0,esk27_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

fof(c_0_111,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_112,negated_conjecture,
    ( coll(X1,esk26_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_105]) ).

fof(c_0_113,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])]) ).

cnf(c_0_114,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_115,negated_conjecture,
    perp(esk27_0,esk25_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_116,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_117,negated_conjecture,
    ( midp(esk27_0,X1,esk26_0)
    | ~ midp(esk26_0,X1,esk27_0)
    | ~ coll(esk27_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_118,negated_conjecture,
    ( midp(esk26_0,esk26_0,esk27_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_95])]) ).

fof(c_0_119,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_120,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_121,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_111]) ).

cnf(c_0_122,negated_conjecture,
    coll(esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_112,c_0_105]) ).

fof(c_0_123,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_124,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_125,negated_conjecture,
    perp(esk21_0,esk22_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_126,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_127,negated_conjecture,
    ( midp(esk27_0,esk26_0,esk26_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_85])]) ).

cnf(c_0_128,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_129,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_120]) ).

cnf(c_0_130,plain,
    ( cyclic(X1,X2,X3,X3)
    | coll(X3,X3,X1)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_67]) ).

cnf(c_0_131,negated_conjecture,
    coll(esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_55,c_0_122]) ).

cnf(c_0_132,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_133,negated_conjecture,
    ( para(X1,X2,esk27_0,esk25_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk26_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_77,c_0_84]) ).

cnf(c_0_135,negated_conjecture,
    ( cong(esk27_0,esk26_0,esk27_0,esk26_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_136,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_78,c_0_128]) ).

cnf(c_0_137,plain,
    ( cyclic(X1,X1,X2,X2)
    | ~ para(X2,X1,X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_129]),c_0_130]),c_0_74]) ).

cnf(c_0_138,negated_conjecture,
    ( cyclic(X1,esk27_0,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_90]) ).

cnf(c_0_139,negated_conjecture,
    ( coll(X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_131]) ).

cnf(c_0_140,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_128]) ).

cnf(c_0_141,negated_conjecture,
    ( cyclic(esk25_0,X1,esk27_0,esk27_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_133]),c_0_115])]) ).

cnf(c_0_142,negated_conjecture,
    coll(esk27_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_49,c_0_134]) ).

cnf(c_0_143,negated_conjecture,
    ( cong(esk27_0,esk26_0,esk26_0,esk27_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_135]) ).

fof(c_0_144,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_145,plain,
    ( cong(X1,X1,X1,X1)
    | ~ cyclic(X1,X1,X2,X1)
    | ~ para(X2,X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_146,negated_conjecture,
    ( cyclic(X1,esk26_0,esk27_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_138]) ).

cnf(c_0_147,negated_conjecture,
    coll(esk26_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_139,c_0_131]) ).

cnf(c_0_148,negated_conjecture,
    ( para(esk27_0,esk25_0,esk27_0,esk25_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_149,negated_conjecture,
    coll(esk27_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_55,c_0_142]) ).

cnf(c_0_150,negated_conjecture,
    ( cong(esk26_0,esk27_0,esk27_0,esk26_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_143]) ).

cnf(c_0_151,negated_conjecture,
    perp(esk26_0,esk25_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_152,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_144]) ).

cnf(c_0_153,negated_conjecture,
    cong(esk26_0,esk26_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_75]),c_0_147])]) ).

cnf(c_0_154,negated_conjecture,
    para(esk27_0,esk25_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_155,negated_conjecture,
    ( cong(esk26_0,esk27_0,esk26_0,esk27_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_150]) ).

cnf(c_0_156,negated_conjecture,
    perp(esk21_0,esk23_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_114,c_0_151]) ).

cnf(c_0_157,negated_conjecture,
    ( midp(X1,esk27_0,esk27_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_84]),c_0_84])]) ).

cnf(c_0_158,negated_conjecture,
    midp(esk26_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_153]),c_0_147])]) ).

fof(c_0_159,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | ~ cyclic(X11,X12,X13,X14)
      | perp(X13,X11,X11,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).

cnf(c_0_160,negated_conjecture,
    ( midp(X1,esk25_0,esk25_0)
    | ~ midp(X1,esk27_0,esk27_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_154]),c_0_154])]) ).

cnf(c_0_161,negated_conjecture,
    ( midp(esk26_0,esk27_0,esk27_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_155]),c_0_134])]) ).

cnf(c_0_162,negated_conjecture,
    ( coll(esk27_0,X1,esk25_0)
    | ~ perp(esk27_0,X1,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_133]) ).

cnf(c_0_163,negated_conjecture,
    ( para(X1,X2,esk26_0,esk25_0)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_156]) ).

cnf(c_0_164,negated_conjecture,
    ( cyclic(X1,esk27_0,esk26_0,esk27_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_87]) ).

fof(c_0_165,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])])])]) ).

cnf(c_0_166,negated_conjecture,
    midp(esk26_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_167,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cyclic(X2,X4,X1,X3)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

fof(c_0_168,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])])])]) ).

cnf(c_0_169,negated_conjecture,
    ( midp(esk26_0,esk25_0,esk25_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_170,negated_conjecture,
    coll(esk27_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_162,c_0_115]) ).

cnf(c_0_171,negated_conjecture,
    ( coll(esk26_0,X1,esk25_0)
    | ~ perp(esk26_0,X1,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_163]) ).

cnf(c_0_172,negated_conjecture,
    cong(esk27_0,esk27_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_164]),c_0_84]),c_0_88])]) ).

cnf(c_0_173,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_165]) ).

cnf(c_0_174,negated_conjecture,
    midp(esk27_0,esk27_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_166]),c_0_149])]) ).

fof(c_0_175,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_176,plain,
    ( perp(X1,X2,X2,X1)
    | ~ cong(X2,X1,X2,X1)
    | ~ para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_167,c_0_137]) ).

cnf(c_0_177,negated_conjecture,
    cong(esk26_0,esk27_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_126,c_0_166]) ).

cnf(c_0_178,negated_conjecture,
    para(esk26_0,esk27_0,esk28_0,esk31_0),
    inference(spm,[status(thm)],[c_0_52,c_0_47]) ).

cnf(c_0_179,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_168]) ).

cnf(c_0_180,negated_conjecture,
    ( cong(esk26_0,esk25_0,esk26_0,esk25_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_169]) ).

cnf(c_0_181,negated_conjecture,
    coll(esk25_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_49,c_0_170]) ).

cnf(c_0_182,negated_conjecture,
    coll(esk26_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_171,c_0_151]) ).

cnf(c_0_183,negated_conjecture,
    midp(esk27_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_172]),c_0_88])]) ).

cnf(c_0_184,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_173,c_0_79]) ).

cnf(c_0_185,negated_conjecture,
    cong(esk27_0,esk27_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_126,c_0_174]) ).

cnf(c_0_186,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_187,negated_conjecture,
    perp(esk27_0,esk26_0,esk26_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_75]),c_0_177])]) ).

fof(c_0_188,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_189,negated_conjecture,
    para(esk28_0,esk31_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_46,c_0_178]) ).

cnf(c_0_190,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_179,c_0_79]) ).

cnf(c_0_191,negated_conjecture,
    ( cong(esk26_0,esk25_0,esk25_0,esk26_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_180]) ).

cnf(c_0_192,negated_conjecture,
    coll(esk25_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_55,c_0_181]) ).

cnf(c_0_193,negated_conjecture,
    coll(esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_49,c_0_182]) ).

fof(c_0_194,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_195,negated_conjecture,
    midp(esk27_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_160,c_0_183]) ).

cnf(c_0_196,negated_conjecture,
    ( perp(esk27_0,esk27_0,esk27_0,esk26_0)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_197,negated_conjecture,
    perp(esk27_0,esk26_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_198,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_199,negated_conjecture,
    para(esk28_0,esk31_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_189]) ).

cnf(c_0_200,negated_conjecture,
    ( para(esk26_0,esk26_0,esk26_0,esk27_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_110]),c_0_84])]) ).

cnf(c_0_201,negated_conjecture,
    ( cong(esk25_0,esk26_0,esk26_0,esk25_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_191]) ).

cnf(c_0_202,negated_conjecture,
    ( coll(X1,esk27_0,esk25_0)
    | ~ coll(esk25_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_192]) ).

cnf(c_0_203,negated_conjecture,
    coll(esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_55,c_0_193]) ).

cnf(c_0_204,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_194]) ).

cnf(c_0_205,negated_conjecture,
    ( para(X1,X2,esk31_0,esk28_0)
    | ~ para(X1,X2,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_64]) ).

cnf(c_0_206,negated_conjecture,
    cong(esk27_0,esk25_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_126,c_0_195]) ).

cnf(c_0_207,negated_conjecture,
    perp(esk27_0,esk27_0,esk27_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]) ).

cnf(c_0_208,negated_conjecture,
    ( perp(esk28_0,esk31_0,X1,X2)
    | ~ perp(esk27_0,esk26_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_209,negated_conjecture,
    ( para(esk26_0,esk27_0,esk26_0,esk26_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_200]) ).

cnf(c_0_210,negated_conjecture,
    cong(esk25_0,esk26_0,esk26_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_185])]) ).

cnf(c_0_211,negated_conjecture,
    ( coll(X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_91]) ).

cnf(c_0_212,negated_conjecture,
    coll(esk26_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_213,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_204,c_0_67]) ).

cnf(c_0_214,negated_conjecture,
    ( perp(esk31_0,esk28_0,X1,X2)
    | ~ perp(esk27_0,esk26_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_58]) ).

cnf(c_0_215,negated_conjecture,
    ( para(X1,X2,esk31_0,esk28_0)
    | ~ para(X3,X4,esk27_0,esk26_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_205]) ).

cnf(c_0_216,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_132,c_0_79]) ).

fof(c_0_217,plain,
    ! [X5,X6,X7,X8] :
      ( ~ eqangle(X5,X6,X7,X8,X7,X8,X5,X6)
      | para(X5,X6,X7,X8)
      | perp(X5,X6,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ruleD71])])]) ).

cnf(c_0_218,negated_conjecture,
    cong(esk27_0,esk25_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_103,c_0_206]) ).

cnf(c_0_219,negated_conjecture,
    perp(esk27_0,esk26_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_114,c_0_207]) ).

cnf(c_0_220,negated_conjecture,
    perp(esk28_0,esk31_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_208,c_0_187]) ).

cnf(c_0_221,negated_conjecture,
    para(esk26_0,esk26_0,esk26_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_185])]) ).

cnf(c_0_222,negated_conjecture,
    para(esk26_0,esk27_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_185])]) ).

cnf(c_0_223,negated_conjecture,
    cong(esk25_0,esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_103,c_0_210]) ).

cnf(c_0_224,negated_conjecture,
    coll(esk25_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_225,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_179,c_0_213]) ).

cnf(c_0_226,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk31_0,esk28_0)
    | ~ perp(esk27_0,esk26_0,X3,X4) ),
    inference(spm,[status(thm)],[c_0_124,c_0_214]) ).

cnf(c_0_227,negated_conjecture,
    ( para(X1,X2,esk31_0,esk28_0)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0)
    | ~ para(X1,X2,esk27_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_228,plain,
    ( perp(X1,X2,X3,X4)
    | para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_217]) ).

cnf(c_0_229,negated_conjecture,
    cong(esk25_0,esk27_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_98,c_0_218]) ).

cnf(c_0_230,negated_conjecture,
    perp(esk28_0,esk31_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_208,c_0_219]) ).

cnf(c_0_231,negated_conjecture,
    perp(esk26_0,esk27_0,esk28_0,esk31_0),
    inference(spm,[status(thm)],[c_0_114,c_0_220]) ).

fof(c_0_232,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_233,negated_conjecture,
    ( midp(X1,esk27_0,esk26_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_221]),c_0_222])]) ).

cnf(c_0_234,negated_conjecture,
    midp(esk25_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_223]),c_0_224])]) ).

cnf(c_0_235,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ para(X1,X2,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_225,c_0_108]) ).

cnf(c_0_236,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk31_0,esk28_0)
    | ~ perp(esk27_0,esk26_0,X4,X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_226]) ).

cnf(c_0_237,negated_conjecture,
    ( para(esk31_0,esk28_0,X1,X2)
    | ~ cong(esk27_0,esk27_0,esk27_0,esk26_0)
    | ~ para(X1,X2,esk27_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_227]) ).

cnf(c_0_238,plain,
    ( perp(X1,X2,X2,X2)
    | para(X1,X2,X2,X2)
    | ~ cong(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_228,c_0_79]) ).

cnf(c_0_239,negated_conjecture,
    cong(esk25_0,esk27_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_103,c_0_229]) ).

cnf(c_0_240,negated_conjecture,
    perp(esk27_0,esk27_0,esk28_0,esk31_0),
    inference(spm,[status(thm)],[c_0_114,c_0_230]) ).

cnf(c_0_241,negated_conjecture,
    ( perp(esk28_0,esk31_0,X1,X2)
    | ~ perp(esk26_0,esk27_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_189]) ).

cnf(c_0_242,negated_conjecture,
    perp(esk26_0,esk27_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_186,c_0_231]) ).

cnf(c_0_243,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_232]) ).

cnf(c_0_244,negated_conjecture,
    midp(esk25_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_233,c_0_234]) ).

cnf(c_0_245,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ perp(esk27_0,esk26_0,esk26_0,esk27_0)
    | ~ perp(X1,X2,esk31_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_246,negated_conjecture,
    ( para(esk31_0,esk28_0,X1,X2)
    | ~ para(X1,X2,esk27_0,esk27_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_185])]) ).

cnf(c_0_247,negated_conjecture,
    ( perp(esk25_0,esk27_0,esk27_0,esk27_0)
    | para(esk25_0,esk27_0,esk27_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_248,negated_conjecture,
    perp(esk27_0,esk27_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_186,c_0_240]) ).

cnf(c_0_249,negated_conjecture,
    perp(esk28_0,esk31_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_250,negated_conjecture,
    midp(esk25_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_251,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ perp(esk27_0,esk26_0,esk26_0,esk27_0)
    | ~ perp(X3,X4,esk31_0,esk28_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_225,c_0_245]) ).

cnf(c_0_252,negated_conjecture,
    ( perp(esk25_0,esk27_0,esk27_0,esk27_0)
    | para(esk31_0,esk28_0,esk25_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_253,negated_conjecture,
    ( para(X1,X2,esk31_0,esk28_0)
    | ~ perp(X1,X2,esk27_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_248]) ).

cnf(c_0_254,negated_conjecture,
    perp(esk31_0,esk28_0,esk28_0,esk31_0),
    inference(spm,[status(thm)],[c_0_114,c_0_249]) ).

cnf(c_0_255,negated_conjecture,
    cong(esk25_0,esk26_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_126,c_0_250]) ).

cnf(c_0_256,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ perp(X3,X4,esk31_0,esk28_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_187])]) ).

cnf(c_0_257,negated_conjecture,
    para(esk25_0,esk27_0,esk31_0,esk28_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_252]),c_0_253]) ).

cnf(c_0_258,negated_conjecture,
    perp(esk31_0,esk28_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_186,c_0_254]) ).

cnf(c_0_259,negated_conjecture,
    ( para(esk25_0,esk26_0,esk26_0,esk27_0)
    | ~ para(esk26_0,esk27_0,esk25_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_190,c_0_255]) ).

cnf(c_0_260,negated_conjecture,
    para(esk26_0,esk27_0,esk25_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258])]) ).

cnf(c_0_261,negated_conjecture,
    perp(esk30_0,esk28_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_262,negated_conjecture,
    coll(esk30_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_263,negated_conjecture,
    para(esk25_0,esk26_0,esk26_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_260])]) ).

fof(c_0_264,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])])])]) ).

cnf(c_0_265,negated_conjecture,
    perp(esk21_0,esk22_0,esk30_0,esk28_0),
    inference(spm,[status(thm)],[c_0_114,c_0_261]) ).

cnf(c_0_266,negated_conjecture,
    coll(esk21_0,esk30_0,esk22_0),
    inference(spm,[status(thm)],[c_0_49,c_0_262]) ).

cnf(c_0_267,negated_conjecture,
    para(esk26_0,esk27_0,esk25_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_263]),c_0_242])]) ).

cnf(c_0_268,plain,
    ( perp(esk12_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_264]) ).

cnf(c_0_269,negated_conjecture,
    ( cyclic(esk25_0,X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_163]),c_0_151])]) ).

cnf(c_0_270,negated_conjecture,
    ( para(X1,X2,esk30_0,esk28_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_265]) ).

cnf(c_0_271,negated_conjecture,
    coll(esk21_0,esk22_0,esk30_0),
    inference(spm,[status(thm)],[c_0_55,c_0_266]) ).

cnf(c_0_272,negated_conjecture,
    para(esk26_0,esk27_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_267]) ).

cnf(c_0_273,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_124,c_0_268]) ).

cnf(c_0_274,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_114,c_0_268]) ).

cnf(c_0_275,negated_conjecture,
    ( para(esk26_0,esk25_0,esk26_0,esk25_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_269]) ).

cnf(c_0_276,negated_conjecture,
    ( cyclic(esk28_0,X1,esk30_0,esk30_0)
    | ~ coll(esk30_0,esk30_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_270]),c_0_261])]) ).

cnf(c_0_277,negated_conjecture,
    ( coll(X1,esk30_0,esk21_0)
    | ~ coll(esk21_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_271]) ).

cnf(c_0_278,negated_conjecture,
    para(esk26_0,esk25_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_46,c_0_272]) ).

cnf(c_0_279,negated_conjecture,
    ( midp(esk27_0,X1,esk27_0)
    | ~ midp(esk26_0,X1,esk26_0)
    | ~ coll(esk27_0,X1,esk27_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_84]) ).

cnf(c_0_280,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_281,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_282,negated_conjecture,
    para(esk26_0,esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_275,c_0_95]) ).

cnf(c_0_283,negated_conjecture,
    ( para(esk30_0,esk28_0,esk30_0,esk28_0)
    | ~ coll(esk30_0,esk30_0,X1) ),
    inference(spm,[status(thm)],[c_0_140,c_0_276]) ).

cnf(c_0_284,negated_conjecture,
    coll(esk30_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_277,c_0_271]) ).

cnf(c_0_285,negated_conjecture,
    ( para(X1,X2,esk21_0,esk22_0)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_261]) ).

cnf(c_0_286,negated_conjecture,
    coll(esk30_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_55,c_0_262]) ).

cnf(c_0_287,negated_conjecture,
    ( midp(X1,esk27_0,esk25_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_278]),c_0_272])]) ).

cnf(c_0_288,negated_conjecture,
    ( midp(esk26_0,X1,esk26_0)
    | ~ midp(esk27_0,X1,esk27_0)
    | ~ coll(esk26_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_75]) ).

cnf(c_0_289,negated_conjecture,
    midp(esk27_0,esk26_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_158]),c_0_142])]) ).

cnf(c_0_290,negated_conjecture,
    para(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_291,negated_conjecture,
    para(esk26_0,esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_282]) ).

cnf(c_0_292,negated_conjecture,
    ( midp(X1,esk25_0,esk25_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_282]),c_0_282])]) ).

cnf(c_0_293,negated_conjecture,
    para(esk30_0,esk28_0,esk30_0,esk28_0),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_294,negated_conjecture,
    para(esk27_0,esk25_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_52,c_0_154]) ).

cnf(c_0_295,negated_conjecture,
    ( para(X1,X2,esk21_0,esk22_0)
    | ~ perp(X3,X4,esk30_0,esk28_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_285]) ).

cnf(c_0_296,negated_conjecture,
    ( para(esk21_0,esk22_0,X1,X2)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_285]) ).

cnf(c_0_297,negated_conjecture,
    perp(esk30_0,esk28_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_186,c_0_261]) ).

cnf(c_0_298,negated_conjecture,
    coll(esk22_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_49,c_0_286]) ).

cnf(c_0_299,negated_conjecture,
    midp(esk26_0,esk27_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_289]),c_0_147])]) ).

cnf(c_0_300,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(esk26_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_182]) ).

cnf(c_0_301,negated_conjecture,
    coll(esk26_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_55,c_0_212]) ).

cnf(c_0_302,negated_conjecture,
    coll(esk29_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_303,negated_conjecture,
    para(esk21_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_290]) ).

cnf(c_0_304,negated_conjecture,
    para(esk25_0,esk26_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_46,c_0_291]) ).

cnf(c_0_305,negated_conjecture,
    midp(esk26_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_292,c_0_158]) ).

cnf(c_0_306,negated_conjecture,
    ( midp(X1,esk26_0,esk26_0)
    | ~ midp(X1,esk27_0,esk27_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_75]),c_0_75])]) ).

cnf(c_0_307,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk21_0,esk22_0,X3,X4)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_285]) ).

cnf(c_0_308,negated_conjecture,
    perp(esk21_0,esk22_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_186,c_0_125]) ).

cnf(c_0_309,negated_conjecture,
    para(esk30_0,esk28_0,esk28_0,esk30_0),
    inference(spm,[status(thm)],[c_0_52,c_0_293]) ).

cnf(c_0_310,negated_conjecture,
    ( para(X1,X2,esk21_0,esk22_0)
    | ~ perp(X1,X2,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_115]) ).

cnf(c_0_311,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk27_0,esk25_0,X3,X4)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_133]) ).

cnf(c_0_312,negated_conjecture,
    ( perp(esk27_0,esk25_0,X1,X2)
    | ~ perp(esk25_0,esk27_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_294]) ).

cnf(c_0_313,negated_conjecture,
    perp(esk29_0,esk28_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_314,negated_conjecture,
    ( para(esk21_0,esk22_0,esk21_0,esk22_0)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_296]) ).

cnf(c_0_315,negated_conjecture,
    perp(esk22_0,esk21_0,esk30_0,esk28_0),
    inference(spm,[status(thm)],[c_0_114,c_0_297]) ).

cnf(c_0_316,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_298]) ).

cnf(c_0_317,negated_conjecture,
    midp(esk26_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_243,c_0_299]) ).

cnf(c_0_318,negated_conjecture,
    coll(esk27_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_300,c_0_301]) ).

cnf(c_0_319,negated_conjecture,
    coll(esk29_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_55,c_0_302]) ).

cnf(c_0_320,negated_conjecture,
    para(esk24_0,esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_46,c_0_303]) ).

cnf(c_0_321,negated_conjecture,
    para(esk25_0,esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_304]) ).

cnf(c_0_322,negated_conjecture,
    cong(esk26_0,esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_126,c_0_305]) ).

cnf(c_0_323,negated_conjecture,
    ( cong(X1,esk26_0,X1,esk26_0)
    | ~ midp(X1,esk27_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_306]) ).

cnf(c_0_324,negated_conjecture,
    ( perp(X1,X2,esk25_0,esk27_0)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

cnf(c_0_325,negated_conjecture,
    ( perp(esk30_0,esk28_0,X1,X2)
    | ~ perp(esk28_0,esk30_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_309]) ).

cnf(c_0_326,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk21_0,esk22_0,X3,X4)
    | ~ perp(X1,X2,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_310]) ).

cnf(c_0_327,negated_conjecture,
    perp(esk21_0,esk22_0,esk28_0,esk30_0),
    inference(spm,[status(thm)],[c_0_186,c_0_265]) ).

cnf(c_0_328,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk21_0,esk22_0)
    | ~ perp(esk25_0,esk27_0,X3,X4) ),
    inference(spm,[status(thm)],[c_0_311,c_0_312]) ).

cnf(c_0_329,negated_conjecture,
    ( para(X1,X2,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk29_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_313]) ).

cnf(c_0_330,negated_conjecture,
    para(esk21_0,esk22_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_314,c_0_315]) ).

cnf(c_0_331,negated_conjecture,
    coll(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_316,c_0_298]) ).

cnf(c_0_332,negated_conjecture,
    midp(esk27_0,esk25_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_317]),c_0_318])]) ).

cnf(c_0_333,negated_conjecture,
    coll(esk23_0,esk29_0,esk21_0),
    inference(spm,[status(thm)],[c_0_49,c_0_319]) ).

cnf(c_0_334,negated_conjecture,
    para(esk24_0,esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_320]) ).

fof(c_0_335,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_336,negated_conjecture,
    perp(esk25_0,esk26_0,esk26_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_321]),c_0_322])]) ).

cnf(c_0_337,negated_conjecture,
    cong(esk27_0,esk26_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_323,c_0_183]) ).

cnf(c_0_338,negated_conjecture,
    ( perp(esk30_0,esk28_0,esk25_0,esk27_0)
    | ~ perp(esk28_0,esk30_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_339,negated_conjecture,
    ( perp(X1,X2,esk28_0,esk30_0)
    | ~ perp(X1,X2,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_326,c_0_327]) ).

cnf(c_0_340,negated_conjecture,
    ( perp(esk30_0,esk28_0,X1,X2)
    | ~ perp(esk25_0,esk27_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_328,c_0_261]) ).

cnf(c_0_341,negated_conjecture,
    para(esk25_0,esk27_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_46,c_0_294]) ).

cnf(c_0_342,negated_conjecture,
    ( para(X1,X2,esk21_0,esk23_0)
    | ~ perp(X3,X4,esk29_0,esk28_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_329]) ).

cnf(c_0_343,negated_conjecture,
    ( para(esk21_0,esk23_0,X1,X2)
    | ~ perp(X1,X2,esk29_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_329]) ).

cnf(c_0_344,negated_conjecture,
    perp(esk29_0,esk28_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_186,c_0_313]) ).

cnf(c_0_345,negated_conjecture,
    ( cyclic(esk22_0,X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_285]),c_0_265])]) ).

cnf(c_0_346,negated_conjecture,
    para(esk21_0,esk22_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_330]) ).

cnf(c_0_347,negated_conjecture,
    coll(esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_55,c_0_331]) ).

cnf(c_0_348,negated_conjecture,
    ( coll(X1,esk23_0,esk29_0)
    | ~ coll(esk29_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_302]) ).

cnf(c_0_349,negated_conjecture,
    cong(esk27_0,esk25_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_126,c_0_332]) ).

cnf(c_0_350,negated_conjecture,
    para(esk25_0,esk26_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_263]) ).

fof(c_0_351,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_352,negated_conjecture,
    ( coll(X1,esk21_0,esk23_0)
    | ~ coll(esk23_0,esk29_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_333]) ).

cnf(c_0_353,negated_conjecture,
    coll(esk24_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_77,c_0_334]) ).

cnf(c_0_354,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_335]) ).

cnf(c_0_355,negated_conjecture,
    perp(esk25_0,esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_186,c_0_336]) ).

cnf(c_0_356,negated_conjecture,
    midp(esk27_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_337]),c_0_85])]) ).

cnf(c_0_357,negated_conjecture,
    ( perp(esk25_0,esk27_0,esk30_0,esk28_0)
    | ~ perp(esk28_0,esk30_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_338]) ).

cnf(c_0_358,negated_conjecture,
    ( perp(esk30_0,esk28_0,esk28_0,esk30_0)
    | ~ perp(esk25_0,esk27_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_339,c_0_340]) ).

cnf(c_0_359,negated_conjecture,
    para(esk25_0,esk27_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_52,c_0_341]) ).

cnf(c_0_360,negated_conjecture,
    ( para(esk21_0,esk23_0,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk29_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_342,c_0_343]) ).

cnf(c_0_361,negated_conjecture,
    perp(esk23_0,esk21_0,esk29_0,esk28_0),
    inference(spm,[status(thm)],[c_0_114,c_0_344]) ).

cnf(c_0_362,negated_conjecture,
    ( cyclic(X1,esk22_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_345]) ).

cnf(c_0_363,negated_conjecture,
    para(esk22_0,esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_346]) ).

cnf(c_0_364,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_347]) ).

cnf(c_0_365,negated_conjecture,
    perp(esk21_0,esk23_0,esk29_0,esk28_0),
    inference(spm,[status(thm)],[c_0_114,c_0_313]) ).

cnf(c_0_366,negated_conjecture,
    coll(esk23_0,esk23_0,esk29_0),
    inference(spm,[status(thm)],[c_0_348,c_0_302]) ).

cnf(c_0_367,negated_conjecture,
    para(esk27_0,esk25_0,esk25_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_349]),c_0_350])]) ).

cnf(c_0_368,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_369,negated_conjecture,
    coll(esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_352,c_0_333]) ).

cnf(c_0_370,negated_conjecture,
    coll(esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_49,c_0_353]) ).

cnf(c_0_371,negated_conjecture,
    ( cong(esk25_0,esk25_0,esk25_0,esk26_0)
    | ~ midp(esk26_0,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_372,negated_conjecture,
    coll(esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_49,c_0_224]) ).

cnf(c_0_373,negated_conjecture,
    midp(esk27_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_287,c_0_356]) ).

cnf(c_0_374,negated_conjecture,
    ( perp(esk25_0,esk27_0,esk25_0,esk27_0)
    | ~ perp(esk28_0,esk30_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_324,c_0_357]) ).

cnf(c_0_375,negated_conjecture,
    ( perp(esk28_0,esk30_0,esk30_0,esk28_0)
    | ~ perp(esk25_0,esk27_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_358]) ).

cnf(c_0_376,negated_conjecture,
    perp(esk25_0,esk27_0,esk27_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_359]),c_0_206])]) ).

cnf(c_0_377,negated_conjecture,
    para(esk21_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_378,negated_conjecture,
    ( cyclic(X1,esk21_0,esk22_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_362]) ).

cnf(c_0_379,negated_conjecture,
    para(esk22_0,esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_363]) ).

cnf(c_0_380,negated_conjecture,
    coll(esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_364,c_0_347]) ).

cnf(c_0_381,negated_conjecture,
    ( cyclic(esk23_0,X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_329]),c_0_365])]) ).

cnf(c_0_382,negated_conjecture,
    ( para(X1,X2,esk23_0,esk21_0)
    | ~ perp(X1,X2,esk29_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_344]) ).

cnf(c_0_383,negated_conjecture,
    coll(esk23_0,esk29_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_366]) ).

cnf(c_0_384,negated_conjecture,
    para(esk27_0,esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_367]) ).

cnf(c_0_385,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk22_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_368,c_0_281]) ).

cnf(c_0_386,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_369]) ).

cnf(c_0_387,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_55,c_0_370]) ).

cnf(c_0_388,negated_conjecture,
    ( cong(esk25_0,esk25_0,esk25_0,esk26_0)
    | ~ midp(esk27_0,esk25_0,esk27_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_288]),c_0_372])]) ).

cnf(c_0_389,negated_conjecture,
    midp(esk27_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_243,c_0_373]) ).

cnf(c_0_390,negated_conjecture,
    ( cong(esk25_0,esk25_0,esk25_0,esk27_0)
    | ~ midp(esk27_0,esk25_0,esk27_0)
    | ~ perp(esk28_0,esk30_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_354,c_0_374]) ).

cnf(c_0_391,negated_conjecture,
    perp(esk28_0,esk30_0,esk30_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_376])]) ).

cnf(c_0_392,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_377]),c_0_377])]) ).

cnf(c_0_393,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_378]),c_0_379]),c_0_380])]) ).

cnf(c_0_394,negated_conjecture,
    ( midp(X1,esk22_0,esk22_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_330]),c_0_330])]) ).

cnf(c_0_395,negated_conjecture,
    ( cyclic(X1,esk23_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_381]) ).

cnf(c_0_396,negated_conjecture,
    ( cyclic(esk21_0,X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_382]),c_0_361])]) ).

cnf(c_0_397,negated_conjecture,
    coll(esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_352,c_0_383]) ).

cnf(c_0_398,negated_conjecture,
    ( perp(esk27_0,esk25_0,X1,X2)
    | ~ perp(esk26_0,esk25_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_384]) ).

cnf(c_0_399,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk23_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_385]) ).

cnf(c_0_400,negated_conjecture,
    coll(esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_386,c_0_387]) ).

cnf(c_0_401,negated_conjecture,
    cong(esk26_0,esk25_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_126,c_0_317]) ).

cnf(c_0_402,negated_conjecture,
    para(esk25_0,esk27_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_63,c_0_257]) ).

cnf(c_0_403,negated_conjecture,
    ( para(X1,X2,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk26_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_151]) ).

cnf(c_0_404,negated_conjecture,
    cong(esk25_0,esk25_0,esk25_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_389])]) ).

cnf(c_0_405,negated_conjecture,
    ( cong(esk25_0,esk25_0,esk25_0,esk27_0)
    | ~ midp(esk27_0,esk25_0,esk27_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_391])]) ).

cnf(c_0_406,negated_conjecture,
    ( cong(X1,esk23_0,X1,esk23_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_392]) ).

cnf(c_0_407,negated_conjecture,
    midp(esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_393]),c_0_380])]) ).

cnf(c_0_408,negated_conjecture,
    ( cong(X1,esk22_0,X1,esk22_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_394]) ).

cnf(c_0_409,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk23_0,esk23_0)
    | ~ cyclic(esk21_0,esk23_0,esk21_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_395]),c_0_380])]) ).

cnf(c_0_410,negated_conjecture,
    ( cyclic(esk21_0,esk23_0,X1,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_396]) ).

cnf(c_0_411,negated_conjecture,
    coll(esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_55,c_0_397]) ).

cnf(c_0_412,negated_conjecture,
    perp(esk27_0,esk25_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_398,c_0_151]) ).

cnf(c_0_413,negated_conjecture,
    ( perp(esk23_0,esk22_0,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_399]) ).

cnf(c_0_414,negated_conjecture,
    coll(esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_400]) ).

cnf(c_0_415,negated_conjecture,
    para(esk26_0,esk25_0,esk25_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_401]),c_0_402])]) ).

cnf(c_0_416,negated_conjecture,
    perp(esk25_0,esk27_0,esk30_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_391])]) ).

cnf(c_0_417,negated_conjecture,
    ( para(X1,X2,esk21_0,esk23_0)
    | ~ perp(X3,X4,esk26_0,esk25_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_403]) ).

cnf(c_0_418,negated_conjecture,
    para(esk25_0,esk25_0,esk25_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_404]),c_0_321])]) ).

cnf(c_0_419,negated_conjecture,
    cong(esk25_0,esk25_0,esk25_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_389])]) ).

cnf(c_0_420,negated_conjecture,
    perp(esk25_0,esk27_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_186,c_0_376]) ).

cnf(c_0_421,negated_conjecture,
    cong(esk21_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_406,c_0_407]) ).

cnf(c_0_422,negated_conjecture,
    cong(esk21_0,esk22_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_408,c_0_407]) ).

cnf(c_0_423,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk23_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_411])]) ).

cnf(c_0_424,negated_conjecture,
    ( perp(X1,X2,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_311,c_0_412]) ).

cnf(c_0_425,negated_conjecture,
    perp(esk23_0,esk22_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_414])]) ).

cnf(c_0_426,negated_conjecture,
    para(esk26_0,esk25_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_415]),c_0_416])]) ).

cnf(c_0_427,negated_conjecture,
    perp(esk26_0,esk25_0,esk25_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_282]),c_0_223])]) ).

cnf(c_0_428,negated_conjecture,
    para(esk25_0,esk25_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_418]),c_0_336])]) ).

cnf(c_0_429,negated_conjecture,
    perp(esk25_0,esk25_0,esk25_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_419]),c_0_420])]) ).

cnf(c_0_430,negated_conjecture,
    cong(esk21_0,esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_103,c_0_421]) ).

cnf(c_0_431,negated_conjecture,
    cong(esk21_0,esk22_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_103,c_0_422]) ).

fof(c_0_432,plain,
    ! [X8,X9,X10,X11] :
      ( ~ perp(X8,X9,X9,X10)
      | ~ midp(X11,X8,X10)
      | cong(X8,X11,X9,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_433,negated_conjecture,
    ( cong(esk23_0,esk23_0,esk21_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_423]) ).

cnf(c_0_434,negated_conjecture,
    perp(esk23_0,esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_424,c_0_425]) ).

cnf(c_0_435,negated_conjecture,
    para(esk21_0,esk22_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_46,c_0_426]) ).

cnf(c_0_436,negated_conjecture,
    perp(esk26_0,esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_186,c_0_427]) ).

cnf(c_0_437,negated_conjecture,
    ( para(X1,X2,esk21_0,esk22_0)
    | ~ perp(X3,X4,esk27_0,esk25_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_310]) ).

cnf(c_0_438,negated_conjecture,
    para(esk21_0,esk23_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_46,c_0_428]) ).

cnf(c_0_439,negated_conjecture,
    perp(esk25_0,esk25_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_186,c_0_429]) ).

cnf(c_0_440,negated_conjecture,
    cong(esk23_0,esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_98,c_0_430]) ).

cnf(c_0_441,negated_conjecture,
    coll(esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_55,c_0_369]) ).

cnf(c_0_442,negated_conjecture,
    cong(esk22_0,esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_98,c_0_431]) ).

cnf(c_0_443,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_432]) ).

cnf(c_0_444,negated_conjecture,
    ( cong(esk23_0,esk23_0,esk23_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_433]) ).

cnf(c_0_445,negated_conjecture,
    perp(esk21_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_114,c_0_434]) ).

cnf(c_0_446,negated_conjecture,
    para(esk21_0,esk22_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_435]),c_0_436])]) ).

cnf(c_0_447,negated_conjecture,
    para(esk21_0,esk23_0,esk21_0,esk22_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_448,negated_conjecture,
    cong(esk23_0,esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_103,c_0_440]) ).

cnf(c_0_449,negated_conjecture,
    coll(esk23_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_49,c_0_441]) ).

cnf(c_0_450,negated_conjecture,
    cong(esk22_0,esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_103,c_0_442]) ).

cnf(c_0_451,negated_conjecture,
    coll(esk22_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_49,c_0_347]) ).

cnf(c_0_452,negated_conjecture,
    ( cong(esk21_0,X1,esk22_0,X1)
    | ~ midp(X1,esk21_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_443,c_0_385]) ).

cnf(c_0_453,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_444]),c_0_411])]) ).

cnf(c_0_454,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk21_0,esk22_0)
    | ~ midp(esk23_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_354,c_0_445]) ).

cnf(c_0_455,negated_conjecture,
    ( midp(X1,esk23_0,esk22_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_446]),c_0_447])]) ).

cnf(c_0_456,negated_conjecture,
    midp(esk23_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_448]),c_0_449])]) ).

cnf(c_0_457,negated_conjecture,
    ( perp(esk22_0,esk23_0,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_385]) ).

cnf(c_0_458,negated_conjecture,
    ( para(X1,X2,esk23_0,esk22_0)
    | ~ perp(X1,X2,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_399]) ).

cnf(c_0_459,negated_conjecture,
    midp(esk22_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_450]),c_0_451])]) ).

cnf(c_0_460,negated_conjecture,
    ( coll(X1,esk22_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_331]) ).

cnf(c_0_461,negated_conjecture,
    ( coll(X1,esk22_0,esk30_0)
    | ~ coll(esk30_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_262]) ).

cnf(c_0_462,negated_conjecture,
    ( cong(esk21_0,X1,esk22_0,X1)
    | ~ midp(X1,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_414])]) ).

cnf(c_0_463,negated_conjecture,
    ( midp(esk23_0,esk21_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_243,c_0_453]) ).

cnf(c_0_464,negated_conjecture,
    cong(esk21_0,esk23_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_455]),c_0_456])]) ).

cnf(c_0_465,negated_conjecture,
    ( para(X1,X2,esk21_0,esk22_0)
    | ~ perp(X1,X2,esk22_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_457]) ).

cnf(c_0_466,negated_conjecture,
    ( para(X1,X2,esk23_0,esk22_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_458,c_0_414])]) ).

cnf(c_0_467,negated_conjecture,
    cong(esk22_0,esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_406,c_0_459]) ).

cnf(c_0_468,negated_conjecture,
    coll(esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_460,c_0_369]) ).

cnf(c_0_469,negated_conjecture,
    coll(esk22_0,esk22_0,esk30_0),
    inference(spm,[status(thm)],[c_0_461,c_0_262]) ).

cnf(c_0_470,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk22_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_462,c_0_463]) ).

cnf(c_0_471,negated_conjecture,
    ( para(esk21_0,esk23_0,esk23_0,esk22_0)
    | ~ para(esk23_0,esk22_0,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_190,c_0_464]) ).

cnf(c_0_472,negated_conjecture,
    ( para(X1,X2,esk21_0,esk22_0)
    | ~ perp(X1,X2,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_465,c_0_414])]) ).

cnf(c_0_473,negated_conjecture,
    perp(esk23_0,esk22_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_466]),c_0_467]),c_0_425])]) ).

cnf(c_0_474,negated_conjecture,
    coll(esk22_0,esk21_0,esk30_0),
    inference(spm,[status(thm)],[c_0_49,c_0_271]) ).

cnf(c_0_475,negated_conjecture,
    ( coll(X1,esk21_0,esk23_0)
    | ~ coll(esk23_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_449]) ).

cnf(c_0_476,negated_conjecture,
    coll(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_55,c_0_468]) ).

cnf(c_0_477,negated_conjecture,
    ( para(X1,X2,esk22_0,esk21_0)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_297]) ).

cnf(c_0_478,negated_conjecture,
    coll(esk22_0,esk30_0,esk22_0),
    inference(spm,[status(thm)],[c_0_55,c_0_469]) ).

cnf(c_0_479,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk23_0,esk22_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_470]) ).

cnf(c_0_480,negated_conjecture,
    para(esk21_0,esk23_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_471,c_0_472]),c_0_473])]) ).

cnf(c_0_481,negated_conjecture,
    ( coll(X1,esk30_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_474]) ).

cnf(c_0_482,negated_conjecture,
    coll(esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_475,c_0_476]) ).

cnf(c_0_483,negated_conjecture,
    ( cyclic(esk21_0,X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_477]),c_0_315])]) ).

cnf(c_0_484,negated_conjecture,
    ( coll(X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_478]) ).

cnf(c_0_485,negated_conjecture,
    ( perp(esk22_0,esk23_0,esk22_0,esk21_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_457]) ).

cnf(c_0_486,negated_conjecture,
    ( cong(esk23_0,esk22_0,esk21_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_479]) ).

cnf(c_0_487,negated_conjecture,
    para(esk21_0,esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_480]) ).

cnf(c_0_488,negated_conjecture,
    perp(esk30_0,esk28_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_424,c_0_261]) ).

cnf(c_0_489,negated_conjecture,
    coll(esk23_0,esk30_0,esk22_0),
    inference(spm,[status(thm)],[c_0_481,c_0_482]) ).

cnf(c_0_490,negated_conjecture,
    ( para(X1,X2,esk31_0,esk28_0)
    | ~ para(X1,X2,esk26_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_47]) ).

cnf(c_0_491,negated_conjecture,
    ( cyclic(X1,esk21_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_483]) ).

cnf(c_0_492,negated_conjecture,
    coll(esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_484,c_0_478]) ).

cnf(c_0_493,negated_conjecture,
    ( cong(esk22_0,esk22_0,esk22_0,esk21_0)
    | ~ midp(esk23_0,esk22_0,esk21_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_354,c_0_485]) ).

cnf(c_0_494,negated_conjecture,
    ( cong(esk23_0,esk22_0,esk23_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_486]) ).

cnf(c_0_495,negated_conjecture,
    para(esk22_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_46,c_0_487]) ).

cnf(c_0_496,negated_conjecture,
    perp(esk21_0,esk23_0,esk30_0,esk28_0),
    inference(spm,[status(thm)],[c_0_114,c_0_488]) ).

cnf(c_0_497,negated_conjecture,
    coll(esk23_0,esk22_0,esk30_0),
    inference(spm,[status(thm)],[c_0_55,c_0_489]) ).

cnf(c_0_498,negated_conjecture,
    ( para(X1,X2,esk28_0,esk31_0)
    | ~ para(X1,X2,esk26_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_490]) ).

cnf(c_0_499,negated_conjecture,
    ( cong(esk22_0,esk21_0,esk21_0,esk21_0)
    | ~ cyclic(esk22_0,esk21_0,esk22_0,esk21_0)
    | ~ cong(esk22_0,esk22_0,esk22_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_491]),c_0_492])]) ).

cnf(c_0_500,negated_conjecture,
    ( cyclic(esk22_0,esk21_0,X1,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_345]) ).

cnf(c_0_501,negated_conjecture,
    ( cong(esk22_0,esk22_0,esk22_0,esk21_0)
    | ~ midp(esk23_0,esk22_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_493,c_0_414])]) ).

cnf(c_0_502,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_494]),c_0_468])]) ).

cnf(c_0_503,negated_conjecture,
    para(esk22_0,esk23_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_495]),c_0_496])]) ).

cnf(c_0_504,negated_conjecture,
    coll(esk22_0,esk23_0,esk30_0),
    inference(spm,[status(thm)],[c_0_49,c_0_497]) ).

cnf(c_0_505,negated_conjecture,
    para(esk31_0,esk28_0,esk28_0,esk31_0),
    inference(spm,[status(thm)],[c_0_498,c_0_53]) ).

cnf(c_0_506,negated_conjecture,
    ( cong(esk22_0,esk21_0,esk21_0,esk21_0)
    | ~ cong(esk22_0,esk22_0,esk22_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_331])]) ).

cnf(c_0_507,negated_conjecture,
    ( cong(esk22_0,esk22_0,esk22_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_501,c_0_502]) ).

cnf(c_0_508,negated_conjecture,
    para(esk22_0,esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_503]) ).

cnf(c_0_509,negated_conjecture,
    coll(esk22_0,esk30_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_504]) ).

cnf(c_0_510,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_132,c_0_213]) ).

cnf(c_0_511,negated_conjecture,
    para(esk31_0,esk28_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_52,c_0_505]) ).

cnf(c_0_512,negated_conjecture,
    ( cong(esk22_0,esk21_0,esk21_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_506,c_0_507]) ).

cnf(c_0_513,negated_conjecture,
    para(esk22_0,esk21_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_46,c_0_508]) ).

cnf(c_0_514,negated_conjecture,
    cong(esk23_0,esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_408,c_0_456]) ).

cnf(c_0_515,negated_conjecture,
    coll(esk23_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_484,c_0_509]) ).

cnf(c_0_516,negated_conjecture,
    ( perp(esk27_0,esk25_0,esk28_0,esk30_0)
    | ~ perp(esk25_0,esk27_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_339,c_0_312]) ).

cnf(c_0_517,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_510,c_0_511]) ).

cnf(c_0_518,negated_conjecture,
    ( cong(esk21_0,esk21_0,esk22_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_512]) ).

cnf(c_0_519,negated_conjecture,
    perp(esk21_0,esk23_0,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_343]),c_0_448]),c_0_365])]) ).

cnf(c_0_520,negated_conjecture,
    ( midp(X1,esk23_0,esk21_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_513]),c_0_508])]) ).

cnf(c_0_521,negated_conjecture,
    midp(esk23_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_514]),c_0_515])]) ).

cnf(c_0_522,negated_conjecture,
    para(esk26_0,esk25_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_415]) ).

cnf(c_0_523,negated_conjecture,
    ( perp(esk27_0,esk25_0,esk30_0,esk28_0)
    | ~ perp(esk25_0,esk27_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_516]) ).

fof(c_0_524,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])]) ).

fof(c_0_525,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_526,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_77,c_0_517]) ).

cnf(c_0_527,negated_conjecture,
    ( cong(esk21_0,esk21_0,esk21_0,esk22_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_518]) ).

cnf(c_0_528,negated_conjecture,
    perp(esk21_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_186,c_0_519]) ).

cnf(c_0_529,negated_conjecture,
    midp(esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_520,c_0_521]) ).

cnf(c_0_530,negated_conjecture,
    midp(esk27_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_243,c_0_332]) ).

cnf(c_0_531,negated_conjecture,
    ( perp(X1,X2,esk27_0,esk25_0)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_307,c_0_125]) ).

cnf(c_0_532,negated_conjecture,
    ( perp(esk26_0,esk25_0,X1,X2)
    | ~ perp(esk27_0,esk25_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_522]) ).

cnf(c_0_533,negated_conjecture,
    perp(esk27_0,esk25_0,esk30_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_523,c_0_376])]) ).

cnf(c_0_534,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_524]) ).

cnf(c_0_535,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_525]) ).

cnf(c_0_536,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_49,c_0_526]) ).

cnf(c_0_537,negated_conjecture,
    ( para(esk21_0,esk21_0,esk21_0,esk22_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_527]),c_0_330])]) ).

cnf(c_0_538,negated_conjecture,
    ( cong(esk21_0,esk21_0,esk21_0,esk23_0)
    | ~ midp(esk23_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_354,c_0_528]) ).

cnf(c_0_539,negated_conjecture,
    midp(esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_243,c_0_529]) ).

cnf(c_0_540,negated_conjecture,
    ( para(esk26_0,esk27_0,esk21_0,esk22_0)
    | ~ perp(esk27_0,esk26_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_108]) ).

cnf(c_0_541,negated_conjecture,
    cong(esk27_0,esk26_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_126,c_0_530]) ).

cnf(c_0_542,negated_conjecture,
    perp(esk26_0,esk25_0,esk27_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_531,c_0_532]),c_0_533])]) ).

cnf(c_0_543,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X4,X1) ),
    inference(spm,[status(thm)],[c_0_534,c_0_128]) ).

cnf(c_0_544,negated_conjecture,
    ( cyclic(esk22_0,esk21_0,esk21_0,X1)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_535,c_0_500]) ).

cnf(c_0_545,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_55,c_0_536]) ).

cnf(c_0_546,negated_conjecture,
    ( para(esk21_0,esk22_0,esk21_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_537]) ).

cnf(c_0_547,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_538,c_0_539])]) ).

cnf(c_0_548,negated_conjecture,
    ( para(esk21_0,esk22_0,esk26_0,esk27_0)
    | ~ perp(esk27_0,esk26_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_540]) ).

cnf(c_0_549,negated_conjecture,
    ( perp(esk31_0,esk28_0,esk28_0,esk30_0)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_339,c_0_214]) ).

cnf(c_0_550,negated_conjecture,
    perp(esk27_0,esk26_0,esk26_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_541]),c_0_542])]) ).

cnf(c_0_551,plain,
    ( para(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X4,X1)
    | ~ para(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_179,c_0_543]) ).

cnf(c_0_552,negated_conjecture,
    cyclic(esk22_0,esk21_0,esk21_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_544,c_0_545])]) ).

cnf(c_0_553,negated_conjecture,
    para(esk21_0,esk22_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_546,c_0_547])]) ).

cnf(c_0_554,negated_conjecture,
    ( perp(esk21_0,esk22_0,X1,X2)
    | ~ perp(esk27_0,esk26_0,esk30_0,esk28_0)
    | ~ perp(esk26_0,esk27_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_548]) ).

cnf(c_0_555,negated_conjecture,
    ( perp(esk27_0,esk26_0,X1,X2)
    | ~ perp(esk31_0,esk28_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_64]) ).

cnf(c_0_556,negated_conjecture,
    ( perp(esk31_0,esk28_0,esk30_0,esk28_0)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_549]) ).

cnf(c_0_557,negated_conjecture,
    perp(esk26_0,esk25_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_114,c_0_550]) ).

cnf(c_0_558,negated_conjecture,
    para(X1,esk22_0,X1,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_552]),c_0_553])]) ).

cnf(c_0_559,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk31_0,esk28_0)
    | ~ perp(esk27_0,esk26_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_554,c_0_242]) ).

cnf(c_0_560,negated_conjecture,
    ( perp(esk27_0,esk26_0,esk30_0,esk28_0)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_555,c_0_556]) ).

cnf(c_0_561,negated_conjecture,
    perp(esk27_0,esk25_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_398,c_0_557]) ).

cnf(c_0_562,negated_conjecture,
    para(X1,esk22_0,esk21_0,X1),
    inference(spm,[status(thm)],[c_0_52,c_0_558]) ).

cnf(c_0_563,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk31_0,esk28_0)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_559,c_0_560]) ).

cnf(c_0_564,negated_conjecture,
    perp(esk27_0,esk26_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_114,c_0_561]) ).

cnf(c_0_565,negated_conjecture,
    ( perp(esk30_0,esk28_0,esk31_0,esk28_0)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_556]) ).

cnf(c_0_566,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_173,c_0_213]) ).

cnf(c_0_567,negated_conjecture,
    para(esk21_0,X1,X1,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_562]) ).

cnf(c_0_568,negated_conjecture,
    perp(esk21_0,esk22_0,esk31_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_563,c_0_564])]) ).

cnf(c_0_569,negated_conjecture,
    cyclic(X1,esk21_0,esk22_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_545])]) ).

cnf(c_0_570,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ para(X1,X2,esk31_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_225,c_0_47]) ).

cnf(c_0_571,negated_conjecture,
    ( para(X1,X2,esk31_0,esk28_0)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk25_0)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_565]) ).

cnf(c_0_572,negated_conjecture,
    ( perp(X1,X2,esk21_0,X3)
    | ~ perp(X1,X2,X3,esk22_0) ),
    inference(spm,[status(thm)],[c_0_566,c_0_567]) ).

cnf(c_0_573,negated_conjecture,
    perp(esk31_0,esk28_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_114,c_0_568]) ).

cnf(c_0_574,negated_conjecture,
    cyclic(X1,esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_535,c_0_569]) ).

cnf(c_0_575,plain,
    ( cyclic(X1,X2,X1,X2)
    | ~ para(X2,X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_137]) ).

cnf(c_0_576,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_545]),c_0_545])]) ).

cnf(c_0_577,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk25_0)
    | ~ perp(X1,X2,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_570,c_0_571]) ).

cnf(c_0_578,negated_conjecture,
    perp(esk31_0,esk28_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_572,c_0_573]) ).

fof(c_0_579,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_580,negated_conjecture,
    cyclic(esk21_0,X1,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_80,c_0_574]) ).

cnf(c_0_581,plain,
    cyclic(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_575,c_0_517])]) ).

cnf(c_0_582,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_517])]),c_0_576])]) ).

cnf(c_0_583,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ perp(esk27_0,esk26_0,esk27_0,esk25_0)
    | ~ perp(X3,X4,esk30_0,esk28_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_225,c_0_577]) ).

cnf(c_0_584,negated_conjecture,
    perp(esk21_0,esk21_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_114,c_0_578]) ).

cnf(c_0_585,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_579]) ).

cnf(c_0_586,negated_conjecture,
    cong(esk21_0,X1,esk21_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_580]),c_0_581]),c_0_582])]) ).

cnf(c_0_587,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ perp(X3,X4,esk30_0,esk28_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_583,c_0_564])]) ).

cnf(c_0_588,negated_conjecture,
    ( para(X1,X2,esk31_0,esk28_0)
    | ~ perp(X1,X2,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_584]) ).

cnf(c_0_589,negated_conjecture,
    perp(esk31_0,esk28_0,esk30_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_556,c_0_564])]) ).

cnf(c_0_590,negated_conjecture,
    perp(esk21_0,esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_586]),c_0_586])]) ).

cnf(c_0_591,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_534,c_0_67]) ).

cnf(c_0_592,negated_conjecture,
    ( para(esk26_0,esk27_0,X1,X2)
    | ~ perp(X1,X2,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_587,c_0_588]),c_0_589])]) ).

cnf(c_0_593,negated_conjecture,
    perp(X1,X2,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_114,c_0_590]) ).

cnf(c_0_594,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_179,c_0_591]) ).

cnf(c_0_595,negated_conjecture,
    para(esk26_0,esk27_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_592,c_0_593])]) ).

cnf(c_0_596,negated_conjecture,
    ~ para(esk31_0,esk25_0,esk30_0,esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_597,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_595]),c_0_595])]) ).

cnf(c_0_598,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_596,c_0_597])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem  : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.10  % Command  : run_ET %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sat Jun 18 15:45:02 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.27/23.34  eprover: CPU time limit exceeded, terminating
% 0.27/23.35  eprover: CPU time limit exceeded, terminating
% 0.27/23.35  eprover: CPU time limit exceeded, terminating
% 0.27/23.35  eprover: CPU time limit exceeded, terminating
% 0.34/37.52  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.34/37.52  
% 0.34/37.52  # Failure: Resource limit exceeded (time)
% 0.34/37.52  # OLD status Res
% 0.34/37.52  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.34/37.52  # Preprocessing time       : 0.022 s
% 0.34/37.52  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.34/37.52  # Preprocessing time       : 0.022 s
% 0.34/37.52  
% 0.34/37.52  # Proof found!
% 0.34/37.52  # SZS status Theorem
% 0.34/37.52  # SZS output start CNFRefutation
% See solution above
% 0.34/37.52  # Proof object total steps             : 599
% 0.34/37.52  # Proof object clause steps            : 516
% 0.34/37.52  # Proof object formula steps           : 83
% 0.34/37.52  # Proof object conjectures             : 453
% 0.34/37.52  # Proof object clause conjectures      : 450
% 0.34/37.52  # Proof object formula conjectures     : 3
% 0.34/37.52  # Proof object initial clauses used    : 51
% 0.34/37.52  # Proof object initial formulas used   : 41
% 0.34/37.52  # Proof object generating inferences   : 436
% 0.34/37.52  # Proof object simplifying inferences  : 216
% 0.34/37.52  # Training examples: 0 positive, 0 negative
% 0.34/37.52  # Parsed axioms                        : 95
% 0.34/37.52  # Removed by relevancy pruning/SinE    : 0
% 0.34/37.52  # Initial clauses                      : 127
% 0.34/37.52  # Removed in clause preprocessing      : 0
% 0.34/37.52  # Initial clauses in saturation        : 127
% 0.34/37.52  # Processed clauses                    : 72767
% 0.34/37.52  # ...of these trivial                  : 6960
% 0.34/37.52  # ...subsumed                          : 36247
% 0.34/37.52  # ...remaining for further processing  : 29560
% 0.34/37.52  # Other redundant clauses eliminated   : 0
% 0.34/37.52  # Clauses deleted for lack of memory   : 232418
% 0.34/37.52  # Backward-subsumed                    : 3429
% 0.34/37.52  # Backward-rewritten                   : 21410
% 0.34/37.52  # Generated clauses                    : 890872
% 0.34/37.52  # ...of the previous two non-trivial   : 633284
% 0.34/37.52  # Contextual simplify-reflections      : 1715
% 0.34/37.52  # Paramodulations                      : 890872
% 0.34/37.52  # Factorizations                       : 0
% 0.34/37.52  # Equation resolutions                 : 0
% 0.34/37.52  # Current number of processed clauses  : 4721
% 0.34/37.52  #    Positive orientable unit clauses  : 1947
% 0.34/37.52  #    Positive unorientable unit clauses: 0
% 0.34/37.52  #    Negative unit clauses             : 2
% 0.34/37.52  #    Non-unit-clauses                  : 2772
% 0.34/37.52  # Current number of unprocessed clauses: 16399
% 0.34/37.52  # ...number of literals in the above   : 46798
% 0.34/37.52  # Current number of archived formulas  : 0
% 0.34/37.52  # Current number of archived clauses   : 24839
% 0.34/37.52  # Clause-clause subsumption calls (NU) : 16760299
% 0.34/37.52  # Rec. Clause-clause subsumption calls : 13251167
% 0.34/37.52  # Non-unit clause-clause subsumptions  : 38899
% 0.34/37.52  # Unit Clause-clause subsumption calls : 4513966
% 0.34/37.52  # Rewrite failures with RHS unbound    : 0
% 0.34/37.52  # BW rewrite match attempts            : 170603
% 0.34/37.52  # BW rewrite match successes           : 14343
% 0.34/37.52  # Condensation attempts                : 0
% 0.34/37.52  # Condensation successes               : 0
% 0.34/37.52  # Termbank termtop insertions          : 14103605
% 0.34/37.52  
% 0.34/37.52  # -------------------------------------------------
% 0.34/37.52  # User time                : 13.613 s
% 0.34/37.52  # System time              : 0.147 s
% 0.34/37.52  # Total time               : 13.760 s
% 0.34/37.52  # Maximum resident set size: 156672 pages
% 0.34/46.36  eprover: CPU time limit exceeded, terminating
% 0.34/46.37  eprover: CPU time limit exceeded, terminating
% 0.34/46.37  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.37  eprover: No such file or directory
% 0.34/46.37  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.37  eprover: No such file or directory
% 0.34/46.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.38  eprover: No such file or directory
% 0.34/46.38  eprover: CPU time limit exceeded, terminating
% 0.34/46.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.38  eprover: No such file or directory
% 0.34/46.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.38  eprover: No such file or directory
% 0.34/46.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.39  eprover: No such file or directory
% 0.34/46.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.39  eprover: No such file or directory
% 0.34/46.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.39  eprover: No such file or directory
% 0.34/46.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.39  eprover: No such file or directory
% 0.34/46.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.39  eprover: No such file or directory
% 0.34/46.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.39  eprover: No such file or directory
% 0.34/46.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.39  eprover: No such file or directory
% 0.34/46.40  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.40  eprover: No such file or directory
% 0.34/46.40  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.40  eprover: No such file or directory
% 0.34/46.40  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.40  eprover: No such file or directory
% 0.34/46.40  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.40  eprover: No such file or directory
% 0.34/46.40  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.40  eprover: No such file or directory
% 0.34/46.40  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.40  eprover: No such file or directory
% 0.34/46.40  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.40  eprover: No such file or directory
% 0.34/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.41  eprover: No such file or directory
% 0.34/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.41  eprover: No such file or directory
% 0.34/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.41  eprover: No such file or directory
% 0.34/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.41  eprover: No such file or directory
% 0.34/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/46.41  eprover: No such file or directory
% 0.34/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.41  eprover: No such file or directory
% 0.34/46.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.41  eprover: No such file or directory
% 0.34/46.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.42  eprover: No such file or directory
% 0.34/46.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.42  eprover: No such file or directory
% 0.34/46.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.42  eprover: No such file or directory
% 0.34/46.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.34/46.42  eprover: No such file or directory
%------------------------------------------------------------------------------