TSTP Solution File: GEO559+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n029.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 04:06:21 EDT 2022

% Result   : Theorem 0.34s 12.52s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   75
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  604 ( 281 unt;   0 def)
%            Number of atoms       : 1093 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  881 ( 392   ~; 407   |;  40   &)
%                                         (   0 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :  720 (  12 sgn 388   !;   1   ?)

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

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

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

fof(exemplo6GDDFULL012019,conjecture,
    ! [X1,X2,X3,X8,X6,X9,X5,X4,X19,X20] :
      ( ( circle(X8,X1,X2,X3)
        & circle(X9,X1,X2,X6)
        & circle(X9,X1,X5,X19)
        & coll(X5,X1,X3)
        & circle(X8,X2,X4,X20)
        & coll(X4,X2,X6) )
     => para(X3,X4,X5,X6) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULL012019) ).

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

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

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

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

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

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

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

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

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(ruleD48,axiom,
    ! [X1,X2,X3,X8,X16] :
      ( ( circle(X8,X1,X2,X3)
        & perp(X8,X1,X1,X16) )
     => eqangle(X1,X16,X1,X2,X3,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).

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

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

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

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

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

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

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

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

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

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

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

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

fof(c_0_41,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_42,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk12_4(X10,X11,X12,X13),X10,X10,X13) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_43,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_44,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_45,plain,
    ( perp(esk12_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_47,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X6,X9,X5,X4,X19,X20] :
        ( ( circle(X8,X1,X2,X3)
          & circle(X9,X1,X2,X6)
          & circle(X9,X1,X5,X19)
          & coll(X5,X1,X3)
          & circle(X8,X2,X4,X20)
          & coll(X4,X2,X6) )
       => para(X3,X4,X5,X6) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012019]) ).

cnf(c_0_48,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_44,c_0_45]) ).

cnf(c_0_49,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_46,c_0_45]) ).

fof(c_0_50,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & circle(esk26_0,esk21_0,esk22_0,esk25_0)
    & circle(esk26_0,esk21_0,esk27_0,esk29_0)
    & coll(esk27_0,esk21_0,esk23_0)
    & circle(esk24_0,esk22_0,esk28_0,esk30_0)
    & coll(esk28_0,esk22_0,esk25_0)
    & ~ para(esk23_0,esk28_0,esk27_0,esk25_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).

fof(c_0_51,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_52,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])])])]) ).

fof(c_0_53,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])])]) ).

fof(c_0_54,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_55,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    circle(esk24_0,esk22_0,esk28_0,esk30_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_57,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_58,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_51]) ).

cnf(c_0_59,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_60,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_53]) ).

fof(c_0_61,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

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

cnf(c_0_63,negated_conjecture,
    para(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_64,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ cyclic(X6,X7,X8,X9)
      | ~ cyclic(X6,X7,X8,X10)
      | cyclic(X7,X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_65,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_57]) ).

cnf(c_0_66,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_67,plain,
    ( cyclic(X1,X2,X3,X3)
    | coll(X3,X3,X1)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_59]) ).

fof(c_0_68,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

fof(c_0_69,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_70,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_71,negated_conjecture,
    para(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_72,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_73,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_58,c_0_65]),c_0_66]),c_0_67]) ).

fof(c_0_74,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_75,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_76,negated_conjecture,
    coll(esk28_0,esk22_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_77,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_78,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_69]) ).

cnf(c_0_79,negated_conjecture,
    para(esk24_0,esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

fof(c_0_80,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_81,plain,
    ( cyclic(X1,X2,X3,X2)
    | ~ cyclic(X1,X1,X2,X3)
    | ~ para(X2,X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_82,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_83,negated_conjecture,
    coll(esk28_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,negated_conjecture,
    para(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_55,c_0_77]) ).

cnf(c_0_85,plain,
    ( perp(X1,X2,X2,X1)
    | ~ cong(X2,X1,X2,X1)
    | ~ para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_73]) ).

cnf(c_0_86,negated_conjecture,
    para(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_62,c_0_79]) ).

fof(c_0_87,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_88,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

fof(c_0_89,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_90,negated_conjecture,
    ( cyclic(esk24_0,esk22_0,X1,esk22_0)
    | ~ cyclic(esk24_0,esk24_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_63]) ).

cnf(c_0_91,negated_conjecture,
    ( coll(X1,esk22_0,esk28_0)
    | ~ coll(esk28_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_92,negated_conjecture,
    para(esk21_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_62,c_0_84]) ).

fof(c_0_93,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_94,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk22_0,esk24_0)
    | ~ cong(esk22_0,esk24_0,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

fof(c_0_95,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ para(X10,X11,X8,X9)
      | ~ coll(X11,X7,X9)
      | midp(X11,X7,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_96,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_97,negated_conjecture,
    coll(esk22_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_88,c_0_63]) ).

fof(c_0_98,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_99,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_100,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_101,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_102,negated_conjecture,
    cyclic(esk24_0,esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_73]),c_0_63])]) ).

cnf(c_0_103,negated_conjecture,
    coll(esk22_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_91,c_0_83]) ).

cnf(c_0_104,negated_conjecture,
    para(esk24_0,esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_70,c_0_92]) ).

cnf(c_0_105,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_106,negated_conjecture,
    ( perp(esk22_0,esk24_0,esk24_0,esk22_0)
    | ~ cong(esk22_0,esk24_0,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_94]) ).

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_95]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

fof(c_0_109,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

fof(c_0_110,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_111,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_98]) ).

cnf(c_0_112,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_113,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_114,negated_conjecture,
    cyclic(esk22_0,esk24_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_115,negated_conjecture,
    coll(esk22_0,esk28_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_103]) ).

cnf(c_0_116,negated_conjecture,
    circle(esk26_0,esk21_0,esk22_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_117,negated_conjecture,
    para(esk24_0,esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_62,c_0_104]) ).

cnf(c_0_118,negated_conjecture,
    ( cong(esk22_0,esk24_0,esk22_0,esk22_0)
    | ~ cong(esk22_0,esk24_0,esk22_0,esk24_0)
    | ~ midp(esk24_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_119,negated_conjecture,
    ( midp(esk24_0,X1,esk22_0)
    | ~ midp(esk22_0,X1,esk24_0)
    | ~ coll(esk24_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_71]) ).

cnf(c_0_120,negated_conjecture,
    coll(esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_108]) ).

cnf(c_0_121,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_122,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_110]) ).

fof(c_0_123,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_124,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_111,c_0_112]) ).

cnf(c_0_125,negated_conjecture,
    cyclic(esk22_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_126,negated_conjecture,
    ( coll(X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_115]) ).

cnf(c_0_127,negated_conjecture,
    coll(esk27_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_128,negated_conjecture,
    para(esk21_0,esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_55,c_0_116]) ).

cnf(c_0_129,negated_conjecture,
    ( coll(X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_108]) ).

cnf(c_0_130,negated_conjecture,
    coll(esk24_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_88,c_0_117]) ).

cnf(c_0_131,negated_conjecture,
    ( cong(esk22_0,esk24_0,esk22_0,esk22_0)
    | ~ midp(esk22_0,esk24_0,esk24_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120])]),c_0_121]) ).

cnf(c_0_132,negated_conjecture,
    ( midp(X1,esk24_0,esk24_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_63]),c_0_63])]) ).

cnf(c_0_133,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_134,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_125])]) ).

cnf(c_0_135,negated_conjecture,
    coll(esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_126,c_0_115]) ).

cnf(c_0_136,negated_conjecture,
    coll(esk27_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_75,c_0_127]) ).

cnf(c_0_137,negated_conjecture,
    para(esk21_0,esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_62,c_0_128]) ).

fof(c_0_138,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_139,negated_conjecture,
    ( perp(esk21_0,esk24_0,esk24_0,esk21_0)
    | ~ cong(esk24_0,esk21_0,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_84]) ).

cnf(c_0_140,negated_conjecture,
    ( midp(X1,esk21_0,esk21_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_117]),c_0_117])]) ).

cnf(c_0_141,negated_conjecture,
    ( midp(esk24_0,X1,esk24_0)
    | ~ midp(esk21_0,X1,esk21_0)
    | ~ coll(esk24_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_84]) ).

cnf(c_0_142,negated_conjecture,
    coll(esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_129,c_0_108]) ).

cnf(c_0_143,negated_conjecture,
    ( midp(esk21_0,X1,esk21_0)
    | ~ midp(esk24_0,X1,esk24_0)
    | ~ coll(esk21_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_117]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_130]) ).

cnf(c_0_145,negated_conjecture,
    ( midp(X1,esk22_0,esk22_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_86]),c_0_86])]) ).

cnf(c_0_146,negated_conjecture,
    ( midp(esk24_0,X1,esk24_0)
    | ~ midp(esk22_0,X1,esk22_0)
    | ~ coll(esk24_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_63]) ).

cnf(c_0_147,negated_conjecture,
    ( cong(esk22_0,esk24_0,esk22_0,esk22_0)
    | ~ midp(esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_148,negated_conjecture,
    midp(esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).

cnf(c_0_149,negated_conjecture,
    coll(esk24_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_88,c_0_86]) ).

cnf(c_0_150,negated_conjecture,
    coll(esk21_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_88,c_0_84]) ).

cnf(c_0_151,negated_conjecture,
    ( coll(X1,esk21_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_136]) ).

cnf(c_0_152,negated_conjecture,
    para(esk26_0,esk21_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_70,c_0_137]) ).

cnf(c_0_153,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_154,negated_conjecture,
    ( perp(esk24_0,esk21_0,esk21_0,esk24_0)
    | ~ cong(esk24_0,esk21_0,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_139]) ).

cnf(c_0_155,negated_conjecture,
    ( midp(esk24_0,esk21_0,esk21_0)
    | ~ midp(esk21_0,esk24_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142])]) ).

cnf(c_0_156,negated_conjecture,
    ( midp(esk21_0,esk24_0,esk21_0)
    | ~ midp(esk24_0,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_132]),c_0_144])]) ).

cnf(c_0_157,negated_conjecture,
    ( midp(esk24_0,esk22_0,esk22_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_142])]) ).

cnf(c_0_158,negated_conjecture,
    cong(esk22_0,esk24_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).

cnf(c_0_159,negated_conjecture,
    coll(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_96,c_0_149]) ).

cnf(c_0_160,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_96,c_0_150]) ).

cnf(c_0_161,negated_conjecture,
    coll(esk21_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_96,c_0_127]) ).

cnf(c_0_162,negated_conjecture,
    coll(esk21_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_151,c_0_136]) ).

cnf(c_0_163,negated_conjecture,
    para(esk26_0,esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_62,c_0_152]) ).

cnf(c_0_164,negated_conjecture,
    ( perp(esk24_0,esk21_0,esk24_0,esk21_0)
    | ~ cong(esk24_0,esk21_0,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_165,negated_conjecture,
    ( cong(esk24_0,esk21_0,esk24_0,esk21_0)
    | ~ midp(esk21_0,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_155]) ).

cnf(c_0_166,negated_conjecture,
    ( midp(esk21_0,esk24_0,esk21_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_167,negated_conjecture,
    midp(esk22_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_158]),c_0_159])]) ).

cnf(c_0_168,negated_conjecture,
    ( coll(X1,esk22_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_120]) ).

cnf(c_0_169,negated_conjecture,
    coll(esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_75,c_0_160]) ).

cnf(c_0_170,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_161]) ).

cnf(c_0_171,negated_conjecture,
    coll(esk21_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_75,c_0_162]) ).

cnf(c_0_172,negated_conjecture,
    coll(esk21_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_88,c_0_128]) ).

cnf(c_0_173,negated_conjecture,
    ( perp(esk26_0,esk21_0,esk21_0,esk26_0)
    | ~ cong(esk21_0,esk26_0,esk21_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_163]) ).

cnf(c_0_174,negated_conjecture,
    ( cong(esk24_0,esk24_0,esk24_0,esk21_0)
    | ~ midp(esk21_0,esk24_0,esk21_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_164]),c_0_165]) ).

cnf(c_0_175,negated_conjecture,
    midp(esk21_0,esk24_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]) ).

cnf(c_0_176,negated_conjecture,
    coll(esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_177,negated_conjecture,
    ( perp(esk22_0,esk24_0,esk24_0,esk22_0)
    | ~ cong(esk24_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_63]) ).

fof(c_0_178,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_179,negated_conjecture,
    coll(esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_180,negated_conjecture,
    coll(esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_96,c_0_172]) ).

cnf(c_0_181,negated_conjecture,
    ( perp(esk21_0,esk26_0,esk26_0,esk21_0)
    | ~ cong(esk21_0,esk26_0,esk21_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_173]) ).

fof(c_0_182,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_183,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175])]) ).

cnf(c_0_184,negated_conjecture,
    coll(esk22_0,esk28_0,esk25_0),
    inference(spm,[status(thm)],[c_0_96,c_0_76]) ).

cnf(c_0_185,negated_conjecture,
    coll(esk22_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_96,c_0_176]) ).

cnf(c_0_186,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk22_0,esk24_0)
    | ~ cong(esk24_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_177]) ).

cnf(c_0_187,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_188,negated_conjecture,
    coll(esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_75,c_0_179]) ).

cnf(c_0_189,negated_conjecture,
    ( coll(X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_180]) ).

cnf(c_0_190,negated_conjecture,
    ( cong(esk21_0,esk26_0,esk21_0,esk21_0)
    | ~ cong(esk21_0,esk26_0,esk21_0,esk26_0)
    | ~ midp(esk26_0,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_181]) ).

cnf(c_0_191,negated_conjecture,
    ( midp(esk26_0,X1,esk21_0)
    | ~ midp(esk21_0,X1,esk26_0)
    | ~ coll(esk26_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_137]) ).

cnf(c_0_192,negated_conjecture,
    coll(esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_75,c_0_180]) ).

cnf(c_0_193,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_194,negated_conjecture,
    midp(esk24_0,esk24_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_183]),c_0_169])]) ).

cnf(c_0_195,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_171]) ).

cnf(c_0_196,negated_conjecture,
    ( coll(X1,esk25_0,esk22_0)
    | ~ coll(esk22_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_184]) ).

cnf(c_0_197,negated_conjecture,
    ( coll(X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_159]) ).

cnf(c_0_198,negated_conjecture,
    coll(esk22_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_75,c_0_185]) ).

cnf(c_0_199,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk24_0,esk22_0)
    | ~ cong(esk24_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_186]) ).

cnf(c_0_200,negated_conjecture,
    ( cong(esk24_0,esk22_0,esk24_0,esk22_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_157]) ).

cnf(c_0_201,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk22_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_77]) ).

cnf(c_0_202,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_188]) ).

cnf(c_0_203,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_75,c_0_144]) ).

cnf(c_0_204,negated_conjecture,
    ( perp(esk21_0,esk26_0,esk26_0,esk21_0)
    | ~ cong(esk26_0,esk21_0,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_85,c_0_128]) ).

cnf(c_0_205,negated_conjecture,
    ( midp(X1,esk21_0,esk21_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_163]),c_0_163])]) ).

cnf(c_0_206,negated_conjecture,
    ( midp(esk26_0,X1,esk26_0)
    | ~ midp(esk21_0,X1,esk21_0)
    | ~ coll(esk26_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_128]) ).

cnf(c_0_207,negated_conjecture,
    coll(esk26_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_189,c_0_180]) ).

cnf(c_0_208,negated_conjecture,
    ( cong(esk21_0,esk26_0,esk21_0,esk21_0)
    | ~ midp(esk21_0,esk26_0,esk26_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192])]),c_0_121]) ).

cnf(c_0_209,negated_conjecture,
    ( midp(X1,esk26_0,esk26_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_128]),c_0_128])]) ).

cnf(c_0_210,negated_conjecture,
    midp(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_211,negated_conjecture,
    coll(esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_195,c_0_171]) ).

cnf(c_0_212,negated_conjecture,
    coll(esk22_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_196,c_0_115]) ).

cnf(c_0_213,negated_conjecture,
    coll(esk21_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_214,negated_conjecture,
    ( cong(esk24_0,esk24_0,esk24_0,esk22_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_199]),c_0_200]) ).

cnf(c_0_215,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk23_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_201]) ).

cnf(c_0_216,negated_conjecture,
    coll(esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_217,negated_conjecture,
    ( perp(esk26_0,esk21_0,esk21_0,esk26_0)
    | ~ cong(esk26_0,esk21_0,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_204]) ).

cnf(c_0_218,negated_conjecture,
    ( midp(esk26_0,esk21_0,esk21_0)
    | ~ midp(esk21_0,esk26_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).

cnf(c_0_219,negated_conjecture,
    ( cong(esk21_0,esk26_0,esk21_0,esk21_0)
    | ~ midp(esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_220,negated_conjecture,
    midp(esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_210]),c_0_211])]) ).

cnf(c_0_221,negated_conjecture,
    coll(esk26_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_88,c_0_163]) ).

fof(c_0_222,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ circle(X20,X17,X18,X19)
      | ~ perp(X20,X17,X17,X21)
      | eqangle(X17,X21,X17,X18,X19,X17,X19,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD48])]) ).

cnf(c_0_223,negated_conjecture,
    coll(esk22_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_75,c_0_212]) ).

cnf(c_0_224,negated_conjecture,
    coll(esk22_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_96,c_0_213]) ).

cnf(c_0_225,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_167])]) ).

cnf(c_0_226,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_144]) ).

cnf(c_0_227,negated_conjecture,
    coll(esk21_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_176]) ).

cnf(c_0_228,negated_conjecture,
    ( perp(esk23_0,esk22_0,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_215]) ).

cnf(c_0_229,negated_conjecture,
    coll(esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_75,c_0_216]) ).

cnf(c_0_230,negated_conjecture,
    ( perp(esk26_0,esk21_0,esk26_0,esk21_0)
    | ~ cong(esk26_0,esk21_0,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_217]) ).

cnf(c_0_231,negated_conjecture,
    ( cong(esk26_0,esk21_0,esk26_0,esk21_0)
    | ~ midp(esk21_0,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_218]) ).

cnf(c_0_232,negated_conjecture,
    cong(esk21_0,esk26_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_220])]) ).

cnf(c_0_233,negated_conjecture,
    coll(esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_221]) ).

cnf(c_0_234,plain,
    ( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
    | ~ perp(X5,X1,X1,X2)
    | ~ circle(X5,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_222]) ).

cnf(c_0_235,negated_conjecture,
    ( coll(X1,esk25_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_223]) ).

cnf(c_0_236,negated_conjecture,
    coll(esk22_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_75,c_0_224]) ).

cnf(c_0_237,negated_conjecture,
    midp(esk24_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_225]),c_0_120])]) ).

cnf(c_0_238,negated_conjecture,
    coll(esk22_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_226,c_0_227]) ).

cnf(c_0_239,negated_conjecture,
    perp(esk23_0,esk22_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229])]) ).

cnf(c_0_240,negated_conjecture,
    ( cong(esk26_0,esk26_0,esk26_0,esk21_0)
    | ~ midp(esk21_0,esk26_0,esk21_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_230]),c_0_231]) ).

cnf(c_0_241,negated_conjecture,
    midp(esk21_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_232]),c_0_233])]) ).

fof(c_0_242,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ perp(X17,X18,X19,X20)
      | perp(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).

fof(c_0_243,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_244,negated_conjecture,
    ( eqangle(esk21_0,X1,esk21_0,esk22_0,esk25_0,esk21_0,esk25_0,esk22_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_234,c_0_116]) ).

cnf(c_0_245,negated_conjecture,
    coll(esk21_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_246,negated_conjecture,
    midp(esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_193,c_0_237]) ).

cnf(c_0_247,negated_conjecture,
    coll(esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_238]) ).

cnf(c_0_248,negated_conjecture,
    ( para(X1,X2,esk21_0,esk22_0)
    | ~ perp(X1,X2,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_239]) ).

cnf(c_0_249,negated_conjecture,
    perp(esk21_0,esk22_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_229])]) ).

cnf(c_0_250,negated_conjecture,
    ( midp(X1,esk21_0,esk21_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_132]) ).

cnf(c_0_251,negated_conjecture,
    cong(esk26_0,esk26_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241])]) ).

cnf(c_0_252,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_242]) ).

cnf(c_0_253,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_243]) ).

cnf(c_0_254,negated_conjecture,
    ( cyclic(esk21_0,esk22_0,esk21_0,esk25_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_244]),c_0_245])]) ).

fof(c_0_255,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])]) ).

fof(c_0_256,plain,
    ! [X9,X10,X11] :
      ( ~ cong(X11,X9,X11,X10)
      | eqangle(X11,X9,X9,X10,X9,X10,X11,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_257,negated_conjecture,
    midp(esk21_0,esk22_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_246]),c_0_247])]) ).

cnf(c_0_258,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk22_0,esk21_0)
    | ~ cong(esk22_0,esk21_0,esk22_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_248]),c_0_249])]) ).

cnf(c_0_259,negated_conjecture,
    midp(esk22_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_250,c_0_148]) ).

cnf(c_0_260,negated_conjecture,
    ( perp(esk21_0,esk26_0,esk21_0,esk26_0)
    | ~ cong(esk26_0,esk21_0,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_204]) ).

cnf(c_0_261,negated_conjecture,
    midp(esk26_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_251]),c_0_192])]) ).

cnf(c_0_262,plain,
    ( perp(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ perp(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_252,c_0_112]) ).

cnf(c_0_263,negated_conjecture,
    ( cyclic(esk21_0,esk22_0,esk25_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_264,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_255]) ).

cnf(c_0_265,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_256]) ).

cnf(c_0_266,negated_conjecture,
    midp(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_193,c_0_257]) ).

cnf(c_0_267,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk21_0,esk22_0)
    | ~ cong(esk22_0,esk21_0,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_258]) ).

cnf(c_0_268,negated_conjecture,
    cong(esk22_0,esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_121,c_0_259]) ).

cnf(c_0_269,negated_conjecture,
    ( cong(esk21_0,esk21_0,esk21_0,esk26_0)
    | ~ cong(esk26_0,esk21_0,esk26_0,esk21_0)
    | ~ midp(esk26_0,esk21_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_260]) ).

cnf(c_0_270,negated_conjecture,
    cong(esk26_0,esk21_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_241])]) ).

cnf(c_0_271,negated_conjecture,
    midp(esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_193,c_0_261]) ).

cnf(c_0_272,negated_conjecture,
    ( perp(esk25_0,esk21_0,esk25_0,esk22_0)
    | ~ perp(esk21_0,esk21_0,esk21_0,esk22_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_273,negated_conjecture,
    ( perp(esk26_0,esk21_0,X1,X2)
    | ~ perp(esk21_0,esk26_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_264,c_0_152]) ).

cnf(c_0_274,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_252,c_0_265]) ).

cnf(c_0_275,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_121,c_0_266]) ).

cnf(c_0_276,negated_conjecture,
    perp(esk21_0,esk22_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_268])]) ).

cnf(c_0_277,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_270])]),c_0_271])]) ).

cnf(c_0_278,negated_conjecture,
    perp(esk21_0,esk26_0,esk21_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_270])]) ).

cnf(c_0_279,negated_conjecture,
    ( perp(esk21_0,X1,esk21_0,esk22_0)
    | ~ perp(esk25_0,esk21_0,esk25_0,esk22_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_252,c_0_244]) ).

cnf(c_0_280,negated_conjecture,
    ( perp(esk25_0,esk21_0,esk25_0,esk22_0)
    | ~ perp(esk21_0,esk21_0,esk21_0,esk22_0)
    | ~ perp(esk21_0,esk26_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_281,negated_conjecture,
    perp(esk21_0,esk21_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276])]) ).

cnf(c_0_282,negated_conjecture,
    perp(esk21_0,esk21_0,esk21_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_277]),c_0_278])]) ).

cnf(c_0_283,negated_conjecture,
    ( perp(esk21_0,esk26_0,esk21_0,esk22_0)
    | ~ cong(esk26_0,esk21_0,esk26_0,esk21_0)
    | ~ perp(esk25_0,esk21_0,esk25_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_279,c_0_217]) ).

cnf(c_0_284,negated_conjecture,
    ( perp(esk25_0,esk21_0,esk25_0,esk22_0)
    | ~ perp(esk21_0,esk26_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_280,c_0_281])]) ).

cnf(c_0_285,negated_conjecture,
    perp(esk21_0,esk26_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_282]) ).

cnf(c_0_286,negated_conjecture,
    coll(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_247]) ).

cnf(c_0_287,negated_conjecture,
    ( midp(esk21_0,X1,esk24_0)
    | ~ midp(esk24_0,X1,esk21_0)
    | ~ coll(esk21_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_104]) ).

cnf(c_0_288,negated_conjecture,
    ( midp(esk24_0,esk21_0,esk21_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_146]),c_0_142])]) ).

cnf(c_0_289,negated_conjecture,
    ( perp(esk21_0,esk26_0,esk21_0,esk22_0)
    | ~ perp(esk25_0,esk21_0,esk25_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_270])]) ).

cnf(c_0_290,negated_conjecture,
    perp(esk25_0,esk21_0,esk25_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_285])]) ).

cnf(c_0_291,negated_conjecture,
    coll(esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_202,c_0_286]) ).

cnf(c_0_292,negated_conjecture,
    ( midp(esk21_0,esk21_0,esk24_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_203])]) ).

cnf(c_0_293,negated_conjecture,
    ( cong(esk24_0,esk21_0,esk24_0,esk21_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_288]) ).

cnf(c_0_294,negated_conjecture,
    ( perp(esk23_0,esk22_0,esk22_0,esk21_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_228]) ).

cnf(c_0_295,negated_conjecture,
    ( midp(esk22_0,X1,esk22_0)
    | ~ midp(esk24_0,X1,esk24_0)
    | ~ coll(esk22_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_86]) ).

cnf(c_0_296,negated_conjecture,
    perp(esk21_0,esk26_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_290])]) ).

cnf(c_0_297,negated_conjecture,
    coll(esk21_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_75,c_0_233]) ).

cnf(c_0_298,negated_conjecture,
    coll(esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_75,c_0_291]) ).

cnf(c_0_299,negated_conjecture,
    midp(esk21_0,esk21_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_167])]) ).

cnf(c_0_300,negated_conjecture,
    ( perp(esk21_0,esk24_0,esk21_0,esk24_0)
    | ~ cong(esk24_0,esk21_0,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_139]) ).

cnf(c_0_301,negated_conjecture,
    cong(esk24_0,esk21_0,esk24_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_293,c_0_167])]) ).

cnf(c_0_302,negated_conjecture,
    ( cong(esk23_0,esk22_0,esk23_0,esk21_0)
    | ~ midp(esk22_0,esk22_0,esk21_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_294]) ).

cnf(c_0_303,negated_conjecture,
    midp(esk22_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_210]),c_0_224])]) ).

cnf(c_0_304,negated_conjecture,
    perp(esk21_0,esk22_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_46,c_0_296]) ).

cnf(c_0_305,negated_conjecture,
    ( coll(X1,esk26_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_297]) ).

cnf(c_0_306,negated_conjecture,
    coll(esk21_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_96,c_0_298]) ).

cnf(c_0_307,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_121,c_0_299]) ).

cnf(c_0_308,negated_conjecture,
    perp(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_301])]) ).

fof(c_0_309,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_310,negated_conjecture,
    ( cong(esk23_0,esk22_0,esk23_0,esk21_0)
    | ~ midp(esk22_0,esk22_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_229])]) ).

cnf(c_0_311,negated_conjecture,
    midp(esk22_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_193,c_0_303]) ).

cnf(c_0_312,negated_conjecture,
    perp(esk21_0,esk26_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_153,c_0_296]) ).

cnf(c_0_313,negated_conjecture,
    perp(esk21_0,esk22_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_153,c_0_304]) ).

cnf(c_0_314,negated_conjecture,
    coll(esk22_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_305,c_0_286]) ).

cnf(c_0_315,negated_conjecture,
    ( eqangle(esk21_0,X1,esk21_0,esk22_0,esk23_0,esk21_0,esk23_0,esk22_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_234,c_0_77]) ).

cnf(c_0_316,negated_conjecture,
    coll(esk21_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_306]) ).

cnf(c_0_317,negated_conjecture,
    perp(esk21_0,esk21_0,esk21_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_307]),c_0_308])]) ).

fof(c_0_318,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_319,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_309]) ).

cnf(c_0_320,negated_conjecture,
    cong(esk23_0,esk22_0,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_310,c_0_311])]) ).

cnf(c_0_321,negated_conjecture,
    perp(esk22_0,esk21_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_46,c_0_312]) ).

cnf(c_0_322,negated_conjecture,
    perp(esk26_0,esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_313]) ).

cnf(c_0_323,negated_conjecture,
    coll(esk26_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_314]) ).

cnf(c_0_324,negated_conjecture,
    ( cyclic(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_315]),c_0_316])]) ).

cnf(c_0_325,negated_conjecture,
    perp(esk21_0,esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_153,c_0_317]) ).

cnf(c_0_326,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_318]) ).

cnf(c_0_327,negated_conjecture,
    cong(esk23_0,esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_319,c_0_320]) ).

cnf(c_0_328,negated_conjecture,
    perp(esk22_0,esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_153,c_0_321]) ).

cnf(c_0_329,negated_conjecture,
    cong(esk26_0,esk21_0,esk26_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_322]),c_0_266])]) ).

cnf(c_0_330,negated_conjecture,
    coll(esk26_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_323]) ).

cnf(c_0_331,negated_conjecture,
    ( cyclic(esk21_0,esk22_0,esk23_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_324]) ).

cnf(c_0_332,negated_conjecture,
    perp(esk24_0,esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_325]) ).

cnf(c_0_333,negated_conjecture,
    cong(esk21_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_326,c_0_327]) ).

fof(c_0_334,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_335,negated_conjecture,
    cong(esk22_0,esk26_0,esk22_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_328]),c_0_241])]) ).

cnf(c_0_336,negated_conjecture,
    perp(esk26_0,esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_328]) ).

cnf(c_0_337,negated_conjecture,
    midp(esk26_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_329]),c_0_330])]) ).

cnf(c_0_338,negated_conjecture,
    coll(esk22_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_75,c_0_314]) ).

cnf(c_0_339,negated_conjecture,
    cyclic(esk21_0,esk22_0,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_331,c_0_332])]) ).

cnf(c_0_340,negated_conjecture,
    cong(esk21_0,esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_319,c_0_275]) ).

cnf(c_0_341,negated_conjecture,
    cong(esk21_0,esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_319,c_0_333]) ).

cnf(c_0_342,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_343,negated_conjecture,
    perp(esk22_0,esk26_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_335]),c_0_336])]) ).

cnf(c_0_344,negated_conjecture,
    ( midp(esk21_0,X1,esk26_0)
    | ~ midp(esk26_0,X1,esk21_0)
    | ~ coll(esk21_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_152]) ).

cnf(c_0_345,negated_conjecture,
    midp(esk26_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_193,c_0_337]) ).

cnf(c_0_346,negated_conjecture,
    coll(esk21_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_96,c_0_338]) ).

cnf(c_0_347,negated_conjecture,
    perp(esk23_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_78,c_0_339]),c_0_340]),c_0_341])]) ).

cnf(c_0_348,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_342,c_0_265]) ).

cnf(c_0_349,negated_conjecture,
    perp(esk26_0,esk21_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_46,c_0_343]) ).

cnf(c_0_350,negated_conjecture,
    midp(esk21_0,esk22_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_346])]) ).

cnf(c_0_351,negated_conjecture,
    cong(esk23_0,esk21_0,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_347]),c_0_220])]) ).

cnf(c_0_352,negated_conjecture,
    coll(esk23_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_179]) ).

cnf(c_0_353,negated_conjecture,
    coll(esk26_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_202,c_0_297]) ).

cnf(c_0_354,negated_conjecture,
    ( cong(esk23_0,esk21_0,esk23_0,esk22_0)
    | ~ midp(esk22_0,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_228]) ).

cnf(c_0_355,plain,
    ( para(X1,X2,X1,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_348]) ).

cnf(c_0_356,negated_conjecture,
    perp(esk26_0,esk21_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_153,c_0_349]) ).

cnf(c_0_357,negated_conjecture,
    midp(esk21_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_193,c_0_350]) ).

cnf(c_0_358,negated_conjecture,
    ( cong(X1,esk26_0,X1,esk26_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_209]) ).

cnf(c_0_359,negated_conjecture,
    midp(esk23_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_351]),c_0_352])]) ).

cnf(c_0_360,negated_conjecture,
    coll(esk26_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_75,c_0_353]) ).

fof(c_0_361,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ midp(X13,X10,X11)
      | eqangle(X9,X10,X9,X11,X12,X10,X12,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).

cnf(c_0_362,negated_conjecture,
    ( perp(esk22_0,esk23_0,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_201]) ).

cnf(c_0_363,negated_conjecture,
    ( cong(esk23_0,esk21_0,esk23_0,esk22_0)
    | ~ midp(esk22_0,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_354,c_0_229])]) ).

cnf(c_0_364,negated_conjecture,
    coll(esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_291]) ).

cnf(c_0_365,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X3,X3,X3,X2)
    | ~ midp(X1,X3,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_348]),c_0_355]) ).

cnf(c_0_366,negated_conjecture,
    cong(esk26_0,esk26_0,esk26_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_356]),c_0_357])]) ).

cnf(c_0_367,negated_conjecture,
    cong(esk23_0,esk26_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_368,negated_conjecture,
    coll(esk23_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_189,c_0_360]) ).

cnf(c_0_369,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ midp(X5,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_361]) ).

cnf(c_0_370,negated_conjecture,
    ( perp(esk22_0,esk23_0,esk22_0,esk21_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_362]) ).

cnf(c_0_371,negated_conjecture,
    cong(esk23_0,esk21_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_303])]) ).

cnf(c_0_372,negated_conjecture,
    coll(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_364]) ).

cnf(c_0_373,negated_conjecture,
    ( midp(X1,esk22_0,esk26_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_365,c_0_366]) ).

cnf(c_0_374,negated_conjecture,
    midp(esk23_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_367]),c_0_368])]) ).

cnf(c_0_375,negated_conjecture,
    circle(esk26_0,esk21_0,esk27_0,esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_376,negated_conjecture,
    ( eqangle(esk22_0,X1,esk22_0,esk28_0,esk30_0,esk22_0,esk30_0,esk28_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_234,c_0_56]) ).

cnf(c_0_377,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ circle(X4,X3,X1,X2)
    | ~ midp(X2,X1,X2)
    | ~ coll(X3,X4,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_369]) ).

cnf(c_0_378,negated_conjecture,
    coll(esk21_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_96,c_0_229]) ).

cnf(c_0_379,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_105,c_0_370]) ).

cnf(c_0_380,negated_conjecture,
    midp(esk23_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_371]),c_0_372])]) ).

fof(c_0_381,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_382,negated_conjecture,
    midp(esk23_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_373,c_0_374]) ).

cnf(c_0_383,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_75,c_0_159]) ).

cnf(c_0_384,negated_conjecture,
    ( eqangle(esk21_0,X1,esk21_0,esk27_0,esk29_0,esk21_0,esk29_0,esk27_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_234,c_0_375]) ).

cnf(c_0_385,negated_conjecture,
    ( cyclic(esk22_0,esk28_0,esk22_0,esk30_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_376]) ).

cnf(c_0_386,negated_conjecture,
    ( cyclic(esk22_0,esk23_0,esk21_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_77]),c_0_378])]) ).

cnf(c_0_387,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_379,c_0_229])]) ).

cnf(c_0_388,negated_conjecture,
    midp(esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_193,c_0_380]) ).

cnf(c_0_389,negated_conjecture,
    ( midp(esk22_0,X1,esk24_0)
    | ~ midp(esk24_0,X1,esk22_0)
    | ~ coll(esk22_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_79]) ).

cnf(c_0_390,negated_conjecture,
    ( midp(esk24_0,esk22_0,esk22_0)
    | ~ midp(esk21_0,esk24_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_141]),c_0_142])]) ).

cnf(c_0_391,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_381]) ).

cnf(c_0_392,negated_conjecture,
    midp(esk23_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_193,c_0_382]) ).

cnf(c_0_393,negated_conjecture,
    ( perp(esk22_0,esk21_0,esk23_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_294]) ).

cnf(c_0_394,negated_conjecture,
    coll(esk24_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_235,c_0_383]) ).

cnf(c_0_395,negated_conjecture,
    ( cyclic(esk21_0,esk27_0,esk21_0,esk29_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_384]) ).

cnf(c_0_396,negated_conjecture,
    ( cyclic(esk22_0,esk28_0,esk30_0,esk22_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_385]) ).

cnf(c_0_397,negated_conjecture,
    ( cyclic(esk23_0,esk22_0,esk21_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_386]) ).

cnf(c_0_398,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_388])]) ).

cnf(c_0_399,negated_conjecture,
    ( midp(esk22_0,esk22_0,esk24_0)
    | ~ midp(esk21_0,esk24_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_383])]) ).

cnf(c_0_400,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_391,c_0_265]) ).

cnf(c_0_401,negated_conjecture,
    cong(esk23_0,esk26_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_121,c_0_392]) ).

cnf(c_0_402,negated_conjecture,
    perp(esk22_0,esk21_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_229])]) ).

cnf(c_0_403,negated_conjecture,
    cong(esk26_0,esk22_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_336]),c_0_257])]) ).

cnf(c_0_404,negated_conjecture,
    coll(esk24_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_75,c_0_394]) ).

cnf(c_0_405,negated_conjecture,
    ( cyclic(esk21_0,esk27_0,esk29_0,esk21_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_395]) ).

cnf(c_0_406,negated_conjecture,
    ( cyclic(esk22_0,esk30_0,esk28_0,esk22_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_396]) ).

cnf(c_0_407,negated_conjecture,
    ( cyclic(esk23_0,esk21_0,esk22_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_397]) ).

cnf(c_0_408,negated_conjecture,
    ( midp(X1,esk21_0,esk22_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_365,c_0_398]) ).

cnf(c_0_409,negated_conjecture,
    midp(esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_175])]) ).

cnf(c_0_410,negated_conjecture,
    ( para(esk23_0,esk26_0,esk26_0,esk22_0)
    | ~ para(esk26_0,esk22_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_400,c_0_401]) ).

cnf(c_0_411,negated_conjecture,
    ( para(X1,X2,esk23_0,esk22_0)
    | ~ perp(X1,X2,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_402]) ).

cnf(c_0_412,negated_conjecture,
    perp(esk26_0,esk22_0,esk22_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_403]),c_0_328])]) ).

cnf(c_0_413,negated_conjecture,
    coll(esk25_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_129,c_0_404]) ).

cnf(c_0_414,negated_conjecture,
    ( cyclic(esk21_0,esk29_0,esk27_0,esk21_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_405]) ).

cnf(c_0_415,negated_conjecture,
    ( cyclic(esk30_0,esk22_0,esk28_0,esk22_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_406]) ).

cnf(c_0_416,negated_conjecture,
    ( cyclic(esk23_0,esk21_0,esk24_0,esk22_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_407]) ).

cnf(c_0_417,negated_conjecture,
    midp(esk24_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_119]),c_0_409]),c_0_149])]) ).

cnf(c_0_418,negated_conjecture,
    para(esk23_0,esk26_0,esk26_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_412])]) ).

cnf(c_0_419,negated_conjecture,
    coll(esk24_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_96,c_0_413]) ).

cnf(c_0_420,negated_conjecture,
    ( cyclic(esk29_0,esk21_0,esk27_0,esk21_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_414]) ).

cnf(c_0_421,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_342,c_0_112]) ).

cnf(c_0_422,negated_conjecture,
    ( cyclic(esk30_0,esk28_0,esk22_0,esk22_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_415]) ).

cnf(c_0_423,negated_conjecture,
    ( cyclic(esk21_0,esk24_0,X1,esk22_0)
    | ~ cyclic(esk23_0,esk21_0,esk24_0,X1)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_416]) ).

cnf(c_0_424,negated_conjecture,
    cong(esk24_0,esk21_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_121,c_0_417]) ).

cnf(c_0_425,negated_conjecture,
    para(esk26_0,esk22_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_70,c_0_418]) ).

cnf(c_0_426,negated_conjecture,
    ( coll(X1,esk21_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_169]) ).

cnf(c_0_427,negated_conjecture,
    coll(esk24_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_75,c_0_419]) ).

cnf(c_0_428,negated_conjecture,
    ( cyclic(esk29_0,esk27_0,esk21_0,esk21_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_420]) ).

cnf(c_0_429,negated_conjecture,
    ( para(esk22_0,esk30_0,esk22_0,esk30_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_421,c_0_422]) ).

cnf(c_0_430,negated_conjecture,
    ( cyclic(esk21_0,esk24_0,esk22_0,esk22_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_423,c_0_416]) ).

cnf(c_0_431,negated_conjecture,
    cong(esk24_0,esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_319,c_0_424]) ).

cnf(c_0_432,negated_conjecture,
    para(esk26_0,esk22_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_62,c_0_425]) ).

cnf(c_0_433,negated_conjecture,
    coll(esk25_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_426,c_0_427]) ).

cnf(c_0_434,negated_conjecture,
    ( para(esk21_0,esk29_0,esk21_0,esk29_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_421,c_0_428]) ).

cnf(c_0_435,negated_conjecture,
    ( para(esk22_0,esk30_0,esk30_0,esk22_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_429]) ).

cnf(c_0_436,negated_conjecture,
    ( cyclic(esk21_0,esk22_0,esk24_0,esk22_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_430]) ).

cnf(c_0_437,negated_conjecture,
    cong(esk22_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_326,c_0_431]) ).

cnf(c_0_438,negated_conjecture,
    para(esk26_0,esk23_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_70,c_0_432]) ).

cnf(c_0_439,negated_conjecture,
    coll(esk21_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_96,c_0_433]) ).

cnf(c_0_440,negated_conjecture,
    ( para(esk21_0,esk29_0,esk29_0,esk21_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_434]) ).

cnf(c_0_441,negated_conjecture,
    ( para(esk30_0,esk22_0,esk22_0,esk30_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_435]) ).

cnf(c_0_442,negated_conjecture,
    ( cyclic(esk22_0,esk21_0,esk24_0,esk22_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_436]) ).

cnf(c_0_443,negated_conjecture,
    cong(esk22_0,esk22_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_319,c_0_398]) ).

cnf(c_0_444,negated_conjecture,
    cong(esk22_0,esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_319,c_0_437]) ).

cnf(c_0_445,negated_conjecture,
    ( midp(X1,esk22_0,esk23_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_438]),c_0_432])]) ).

cnf(c_0_446,negated_conjecture,
    coll(esk21_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_75,c_0_439]) ).

cnf(c_0_447,negated_conjecture,
    ( para(esk29_0,esk21_0,esk21_0,esk29_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_440]) ).

cnf(c_0_448,negated_conjecture,
    ( cyclic(esk22_0,esk28_0,esk22_0,esk30_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_376]) ).

cnf(c_0_449,negated_conjecture,
    ( para(esk30_0,esk22_0,esk30_0,esk22_0)
    | coll(esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_441]) ).

cnf(c_0_450,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ midp(esk23_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_442]),c_0_443]),c_0_444])]) ).

cnf(c_0_451,negated_conjecture,
    midp(esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_445,c_0_374]) ).

cnf(c_0_452,negated_conjecture,
    coll(esk25_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_226,c_0_446]) ).

cnf(c_0_453,negated_conjecture,
    ( para(esk29_0,esk21_0,esk29_0,esk21_0)
    | coll(esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_447]) ).

cnf(c_0_454,negated_conjecture,
    ( cyclic(esk22_0,esk28_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_448]) ).

cnf(c_0_455,negated_conjecture,
    ( coll(esk30_0,esk22_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_449]),c_0_96]) ).

cnf(c_0_456,negated_conjecture,
    perp(esk24_0,esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_450,c_0_451])]) ).

cnf(c_0_457,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk22_0,esk25_0)
    | ~ coll(esk26_0,esk21_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_116]) ).

cnf(c_0_458,negated_conjecture,
    coll(esk21_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_452]) ).

cnf(c_0_459,negated_conjecture,
    ( cyclic(esk21_0,esk27_0,esk21_0,esk29_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_384]) ).

cnf(c_0_460,negated_conjecture,
    ( coll(esk29_0,esk21_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_453]),c_0_96]) ).

cnf(c_0_461,negated_conjecture,
    ( cyclic(esk28_0,esk22_0,esk30_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_454]) ).

cnf(c_0_462,negated_conjecture,
    coll(esk30_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_455,c_0_456])]) ).

cnf(c_0_463,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk25_0,esk22_0)
    | ~ coll(esk26_0,esk21_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_457]) ).

cnf(c_0_464,negated_conjecture,
    coll(esk21_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_75,c_0_458]) ).

cnf(c_0_465,negated_conjecture,
    ( cyclic(esk21_0,esk27_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_253,c_0_459]) ).

cnf(c_0_466,negated_conjecture,
    ( coll(esk29_0,esk21_0,esk21_0)
    | ~ perp(esk21_0,esk26_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_460,c_0_273]) ).

cnf(c_0_467,negated_conjecture,
    ( cyclic(esk28_0,esk30_0,esk22_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_461]) ).

cnf(c_0_468,negated_conjecture,
    coll(esk22_0,esk30_0,esk22_0),
    inference(spm,[status(thm)],[c_0_96,c_0_462]) ).

cnf(c_0_469,negated_conjecture,
    ( perp(esk25_0,esk22_0,esk21_0,esk22_0)
    | ~ coll(esk26_0,esk21_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_463]) ).

cnf(c_0_470,negated_conjecture,
    coll(esk25_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_305,c_0_464]) ).

cnf(c_0_471,negated_conjecture,
    ( cyclic(esk27_0,esk21_0,esk29_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_101,c_0_465]) ).

cnf(c_0_472,negated_conjecture,
    coll(esk29_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_466,c_0_285])]) ).

cnf(c_0_473,negated_conjecture,
    ( para(esk22_0,esk28_0,esk22_0,esk28_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_421,c_0_467]) ).

cnf(c_0_474,negated_conjecture,
    ( coll(X1,esk28_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_103]) ).

cnf(c_0_475,negated_conjecture,
    coll(esk22_0,esk22_0,esk30_0),
    inference(spm,[status(thm)],[c_0_75,c_0_468]) ).

cnf(c_0_476,negated_conjecture,
    ( perp(esk25_0,esk22_0,esk22_0,esk21_0)
    | ~ coll(esk26_0,esk21_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_469]) ).

cnf(c_0_477,negated_conjecture,
    coll(esk26_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_470]) ).

cnf(c_0_478,negated_conjecture,
    ( cyclic(esk27_0,esk29_0,esk21_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_471]) ).

cnf(c_0_479,negated_conjecture,
    coll(esk21_0,esk29_0,esk21_0),
    inference(spm,[status(thm)],[c_0_96,c_0_472]) ).

fof(c_0_480,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_481,negated_conjecture,
    ( para(esk22_0,esk28_0,esk28_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_473]) ).

cnf(c_0_482,negated_conjecture,
    coll(esk30_0,esk28_0,esk22_0),
    inference(spm,[status(thm)],[c_0_474,c_0_475]) ).

cnf(c_0_483,negated_conjecture,
    ( cong(esk25_0,esk22_0,esk25_0,esk21_0)
    | ~ midp(esk22_0,esk22_0,esk21_0)
    | ~ coll(esk26_0,esk21_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_476]) ).

cnf(c_0_484,negated_conjecture,
    coll(esk26_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_75,c_0_477]) ).

cnf(c_0_485,negated_conjecture,
    ( para(esk21_0,esk27_0,esk21_0,esk27_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_421,c_0_478]) ).

cnf(c_0_486,negated_conjecture,
    ( coll(X1,esk27_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_162]) ).

cnf(c_0_487,negated_conjecture,
    coll(esk21_0,esk21_0,esk29_0),
    inference(spm,[status(thm)],[c_0_75,c_0_479]) ).

cnf(c_0_488,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_480]) ).

cnf(c_0_489,negated_conjecture,
    ( para(esk28_0,esk22_0,esk22_0,esk28_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_481]) ).

cnf(c_0_490,negated_conjecture,
    coll(esk30_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_75,c_0_482]) ).

cnf(c_0_491,negated_conjecture,
    coll(esk22_0,esk25_0,esk28_0),
    inference(spm,[status(thm)],[c_0_75,c_0_184]) ).

cnf(c_0_492,negated_conjecture,
    ( cong(esk25_0,esk22_0,esk25_0,esk21_0)
    | ~ midp(esk22_0,esk22_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_483,c_0_484])]) ).

cnf(c_0_493,negated_conjecture,
    ( para(esk21_0,esk27_0,esk27_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_485]) ).

cnf(c_0_494,negated_conjecture,
    coll(esk29_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_486,c_0_487]) ).

cnf(c_0_495,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_488,c_0_59]) ).

cnf(c_0_496,negated_conjecture,
    ( para(esk28_0,esk22_0,esk28_0,esk22_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_489]) ).

cnf(c_0_497,negated_conjecture,
    coll(esk22_0,esk30_0,esk28_0),
    inference(spm,[status(thm)],[c_0_96,c_0_490]) ).

cnf(c_0_498,negated_conjecture,
    ( coll(X1,esk28_0,esk22_0)
    | ~ coll(esk22_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_491]) ).

cnf(c_0_499,negated_conjecture,
    cong(esk25_0,esk22_0,esk25_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_492,c_0_311])]) ).

cnf(c_0_500,negated_conjecture,
    ( para(esk27_0,esk21_0,esk21_0,esk27_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_70,c_0_493]) ).

cnf(c_0_501,negated_conjecture,
    coll(esk29_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_75,c_0_494]) ).

fof(c_0_502,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X14,X13,X15,X16,X17,X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).

cnf(c_0_503,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X2,X3,X2)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_495]) ).

cnf(c_0_504,negated_conjecture,
    para(esk28_0,esk22_0,esk28_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_496,c_0_456])]),c_0_497])]) ).

cnf(c_0_505,negated_conjecture,
    coll(esk28_0,esk28_0,esk22_0),
    inference(spm,[status(thm)],[c_0_498,c_0_491]) ).

cnf(c_0_506,negated_conjecture,
    para(esk22_0,esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_421,c_0_114]) ).

cnf(c_0_507,negated_conjecture,
    perp(esk21_0,esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_153,c_0_282]) ).

cnf(c_0_508,negated_conjecture,
    cong(esk25_0,esk22_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_319,c_0_499]) ).

cnf(c_0_509,negated_conjecture,
    ( para(esk27_0,esk21_0,esk27_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_500]) ).

cnf(c_0_510,negated_conjecture,
    coll(esk21_0,esk29_0,esk27_0),
    inference(spm,[status(thm)],[c_0_96,c_0_501]) ).

cnf(c_0_511,negated_conjecture,
    coll(esk21_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_75,c_0_161]) ).

cnf(c_0_512,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X2,X1,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_502]) ).

cnf(c_0_513,negated_conjecture,
    cyclic(X1,esk22_0,esk28_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_504]),c_0_505])]) ).

cnf(c_0_514,negated_conjecture,
    cyclic(X1,esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_506]),c_0_135])]) ).

cnf(c_0_515,negated_conjecture,
    perp(esk26_0,esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_507]) ).

cnf(c_0_516,negated_conjecture,
    cong(esk21_0,esk25_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_326,c_0_508]) ).

cnf(c_0_517,negated_conjecture,
    ( para(esk27_0,esk21_0,esk27_0,esk21_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_509,c_0_510])]) ).

cnf(c_0_518,negated_conjecture,
    ( coll(X1,esk27_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_511]) ).

cnf(c_0_519,negated_conjecture,
    ( eqangle(X1,esk22_0,esk22_0,esk28_0,esk30_0,esk22_0,esk30_0,esk28_0)
    | ~ perp(esk24_0,esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_512,c_0_376]) ).

cnf(c_0_520,negated_conjecture,
    cyclic(esk22_0,esk28_0,esk22_0,esk30_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_456])]),c_0_497])]) ).

cnf(c_0_521,negated_conjecture,
    cyclic(X1,esk28_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_113,c_0_513]) ).

cnf(c_0_522,negated_conjecture,
    cyclic(esk22_0,X1,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_101,c_0_514]) ).

cnf(c_0_523,negated_conjecture,
    cyclic(esk21_0,esk22_0,esk25_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_515])]) ).

cnf(c_0_524,negated_conjecture,
    cong(esk21_0,esk25_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_319,c_0_516]) ).

cnf(c_0_525,negated_conjecture,
    para(esk27_0,esk21_0,esk27_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_517,c_0_515])]) ).

cnf(c_0_526,negated_conjecture,
    coll(esk27_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_518,c_0_511]) ).

cnf(c_0_527,negated_conjecture,
    cong(esk22_0,esk28_0,esk22_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_519]),c_0_520]),c_0_521]),c_0_522]),c_0_456])]) ).

cnf(c_0_528,negated_conjecture,
    perp(esk25_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_78,c_0_523]),c_0_340]),c_0_524])]) ).

cnf(c_0_529,plain,
    ( cong(X1,X1,X1,X2)
    | ~ cyclic(X1,X1,X3,X3)
    | ~ cyclic(X1,X1,X3,X2)
    | ~ cyclic(X1,X1,X3,X1)
    | ~ cyclic(X3,X2,X3,X1)
    | ~ para(X3,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_65]) ).

cnf(c_0_530,negated_conjecture,
    cyclic(X1,esk21_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_503,c_0_525]),c_0_526])]) ).

cnf(c_0_531,negated_conjecture,
    ( para(esk21_0,esk27_0,esk21_0,esk27_0)
    | ~ perp(esk26_0,esk21_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_485,c_0_510])]) ).

cnf(c_0_532,negated_conjecture,
    coll(esk27_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_75,c_0_526]) ).

cnf(c_0_533,negated_conjecture,
    cong(esk22_0,esk28_0,esk28_0,esk22_0),
    inference(spm,[status(thm)],[c_0_319,c_0_527]) ).

cnf(c_0_534,negated_conjecture,
    ( midp(X1,esk24_0,esk24_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_84]),c_0_84])]) ).

cnf(c_0_535,negated_conjecture,
    cong(esk25_0,esk21_0,esk25_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_528]),c_0_220])]) ).

cnf(c_0_536,plain,
    ( cong(X1,X1,X1,X2)
    | ~ cyclic(X1,X1,X3,X2)
    | ~ cyclic(X1,X1,X3,X1)
    | ~ cyclic(X3,X2,X3,X1)
    | ~ para(X3,X2,X3,X1)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_529,c_0_73]) ).

cnf(c_0_537,negated_conjecture,
    cyclic(X1,esk27_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_113,c_0_530]) ).

cnf(c_0_538,negated_conjecture,
    para(esk21_0,esk27_0,esk21_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_531,c_0_515])]) ).

cnf(c_0_539,negated_conjecture,
    ( coll(X1,esk27_0,esk27_0)
    | ~ coll(esk27_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_532]) ).

cnf(c_0_540,negated_conjecture,
    cong(esk28_0,esk22_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_326,c_0_533]) ).

cnf(c_0_541,negated_conjecture,
    para(esk28_0,X1,esk28_0,X1),
    inference(spm,[status(thm)],[c_0_421,c_0_513]) ).

cnf(c_0_542,negated_conjecture,
    ( cong(X1,esk24_0,X1,esk24_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_534]) ).

cnf(c_0_543,negated_conjecture,
    midp(esk25_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_535]),c_0_452])]) ).

cnf(c_0_544,negated_conjecture,
    cong(esk27_0,esk27_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_536,c_0_537]),c_0_537]),c_0_537]),c_0_538])]) ).

cnf(c_0_545,negated_conjecture,
    coll(esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_539,c_0_532]) ).

cnf(c_0_546,negated_conjecture,
    ( coll(X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_160]) ).

cnf(c_0_547,negated_conjecture,
    cong(esk28_0,esk22_0,esk28_0,esk22_0),
    inference(spm,[status(thm)],[c_0_319,c_0_540]) ).

cnf(c_0_548,negated_conjecture,
    coll(esk28_0,X1,X1),
    inference(spm,[status(thm)],[c_0_88,c_0_541]) ).

cnf(c_0_549,negated_conjecture,
    cong(esk25_0,esk24_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_542,c_0_543]) ).

cnf(c_0_550,negated_conjecture,
    ( midp(X1,esk21_0,esk21_0)
    | ~ midp(X1,esk27_0,esk27_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_525]),c_0_525])]) ).

cnf(c_0_551,negated_conjecture,
    midp(esk27_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_544]),c_0_545])]) ).

cnf(c_0_552,negated_conjecture,
    coll(esk24_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_486,c_0_203]) ).

cnf(c_0_553,negated_conjecture,
    cong(esk23_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_542,c_0_359]) ).

cnf(c_0_554,negated_conjecture,
    coll(esk23_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_546,c_0_229]) ).

cnf(c_0_555,negated_conjecture,
    ( cong(X1,esk24_0,X1,esk24_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_121,c_0_132]) ).

cnf(c_0_556,negated_conjecture,
    midp(esk28_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_547]),c_0_548])]) ).

cnf(c_0_557,negated_conjecture,
    ( midp(X1,esk22_0,esk24_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_365,c_0_225]) ).

cnf(c_0_558,negated_conjecture,
    midp(esk25_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_549]),c_0_413])]) ).

cnf(c_0_559,negated_conjecture,
    para(esk24_0,esk24_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_225]),c_0_86])]) ).

cnf(c_0_560,negated_conjecture,
    midp(esk27_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_550,c_0_551]) ).

cnf(c_0_561,negated_conjecture,
    coll(esk24_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_75,c_0_552]) ).

cnf(c_0_562,negated_conjecture,
    midp(esk23_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_553]),c_0_554])]) ).

cnf(c_0_563,negated_conjecture,
    cong(esk28_0,esk24_0,esk28_0,esk24_0),
    inference(spm,[status(thm)],[c_0_555,c_0_556]) ).

cnf(c_0_564,negated_conjecture,
    midp(esk25_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_557,c_0_558]) ).

cnf(c_0_565,negated_conjecture,
    para(esk24_0,esk22_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_70,c_0_559]) ).

cnf(c_0_566,negated_conjecture,
    cong(esk27_0,esk24_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_542,c_0_560]) ).

cnf(c_0_567,negated_conjecture,
    coll(esk27_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_546,c_0_561]) ).

cnf(c_0_568,negated_conjecture,
    midp(esk23_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_557,c_0_562]) ).

cnf(c_0_569,negated_conjecture,
    midp(esk28_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_563]),c_0_548])]) ).

cnf(c_0_570,negated_conjecture,
    midp(esk25_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_193,c_0_564]) ).

cnf(c_0_571,negated_conjecture,
    ( midp(X1,esk24_0,esk22_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_565]),c_0_559])]) ).

cnf(c_0_572,negated_conjecture,
    midp(esk27_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_566]),c_0_567])]) ).

cnf(c_0_573,negated_conjecture,
    cong(esk23_0,esk22_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_121,c_0_568]) ).

cnf(c_0_574,negated_conjecture,
    midp(esk28_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_557,c_0_569]) ).

cnf(c_0_575,negated_conjecture,
    cong(esk25_0,esk24_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_121,c_0_570]) ).

cnf(c_0_576,negated_conjecture,
    midp(esk27_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_571,c_0_572]) ).

cnf(c_0_577,negated_conjecture,
    cong(esk23_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_319,c_0_573]) ).

cnf(c_0_578,negated_conjecture,
    cong(esk28_0,esk22_0,esk28_0,esk24_0),
    inference(spm,[status(thm)],[c_0_121,c_0_574]) ).

cnf(c_0_579,negated_conjecture,
    cong(esk25_0,esk24_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_319,c_0_575]) ).

cnf(c_0_580,negated_conjecture,
    cong(esk27_0,esk24_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_121,c_0_576]) ).

fof(c_0_581,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_582,negated_conjecture,
    cong(esk24_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_326,c_0_577]) ).

cnf(c_0_583,negated_conjecture,
    cong(esk28_0,esk22_0,esk24_0,esk28_0),
    inference(spm,[status(thm)],[c_0_319,c_0_578]) ).

cnf(c_0_584,negated_conjecture,
    cong(esk22_0,esk25_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_326,c_0_579]) ).

cnf(c_0_585,negated_conjecture,
    cong(esk27_0,esk24_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_319,c_0_580]) ).

cnf(c_0_586,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_581]) ).

cnf(c_0_587,negated_conjecture,
    cong(esk24_0,esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_319,c_0_582]) ).

cnf(c_0_588,negated_conjecture,
    cong(esk24_0,esk28_0,esk28_0,esk22_0),
    inference(spm,[status(thm)],[c_0_326,c_0_583]) ).

cnf(c_0_589,negated_conjecture,
    ( perp(esk24_0,esk22_0,X1,X2)
    | ~ perp(esk22_0,esk24_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_264,c_0_79]) ).

cnf(c_0_590,negated_conjecture,
    cong(esk22_0,esk25_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_319,c_0_584]) ).

cnf(c_0_591,negated_conjecture,
    cong(esk22_0,esk27_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_326,c_0_585]) ).

cnf(c_0_592,negated_conjecture,
    ( perp(esk24_0,esk22_0,X1,esk23_0)
    | ~ cong(esk24_0,X1,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_587]) ).

cnf(c_0_593,negated_conjecture,
    cong(esk24_0,esk28_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_319,c_0_588]) ).

cnf(c_0_594,negated_conjecture,
    ~ para(esk23_0,esk28_0,esk27_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_595,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk24_0,esk22_0)
    | ~ perp(esk22_0,esk24_0,X3,X4) ),
    inference(spm,[status(thm)],[c_0_44,c_0_589]) ).

cnf(c_0_596,negated_conjecture,
    ( perp(esk22_0,esk24_0,X1,esk25_0)
    | ~ cong(esk22_0,X1,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_586,c_0_590]) ).

cnf(c_0_597,negated_conjecture,
    cong(esk22_0,esk27_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_319,c_0_591]) ).

cnf(c_0_598,negated_conjecture,
    perp(esk24_0,esk22_0,esk28_0,esk23_0),
    inference(spm,[status(thm)],[c_0_592,c_0_593]) ).

cnf(c_0_599,negated_conjecture,
    ( ~ perp(esk23_0,esk28_0,esk24_0,esk22_0)
    | ~ perp(esk22_0,esk24_0,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_594,c_0_595]) ).

cnf(c_0_600,negated_conjecture,
    perp(esk22_0,esk24_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_596,c_0_597]) ).

cnf(c_0_601,negated_conjecture,
    perp(esk24_0,esk22_0,esk23_0,esk28_0),
    inference(spm,[status(thm)],[c_0_153,c_0_598]) ).

cnf(c_0_602,negated_conjecture,
    ~ perp(esk23_0,esk28_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_599,c_0_600])]) ).

cnf(c_0_603,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_601]),c_0_602]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 23:10:28 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.34/12.52  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.34/12.52  # Preprocessing time       : 0.022 s
% 0.34/12.52  
% 0.34/12.52  # Proof found!
% 0.34/12.52  # SZS status Theorem
% 0.34/12.52  # SZS output start CNFRefutation
% See solution above
% 0.34/12.52  # Proof object total steps             : 604
% 0.34/12.52  # Proof object clause steps            : 521
% 0.34/12.52  # Proof object formula steps           : 83
% 0.34/12.52  # Proof object conjectures             : 463
% 0.34/12.52  # Proof object clause conjectures      : 460
% 0.34/12.52  # Proof object formula conjectures     : 3
% 0.34/12.52  # Proof object initial clauses used    : 47
% 0.34/12.52  # Proof object initial formulas used   : 41
% 0.34/12.52  # Proof object generating inferences   : 433
% 0.34/12.52  # Proof object simplifying inferences  : 244
% 0.34/12.52  # Training examples: 0 positive, 0 negative
% 0.34/12.52  # Parsed axioms                        : 95
% 0.34/12.52  # Removed by relevancy pruning/SinE    : 0
% 0.34/12.52  # Initial clauses                      : 120
% 0.34/12.52  # Removed in clause preprocessing      : 0
% 0.34/12.52  # Initial clauses in saturation        : 120
% 0.34/12.52  # Processed clauses                    : 44889
% 0.34/12.52  # ...of these trivial                  : 15537
% 0.34/12.52  # ...subsumed                          : 3588
% 0.34/12.52  # ...remaining for further processing  : 25764
% 0.34/12.52  # Other redundant clauses eliminated   : 0
% 0.34/12.52  # Clauses deleted for lack of memory   : 272095
% 0.34/12.52  # Backward-subsumed                    : 1168
% 0.34/12.52  # Backward-rewritten                   : 9777
% 0.34/12.52  # Generated clauses                    : 669462
% 0.34/12.52  # ...of the previous two non-trivial   : 543002
% 0.34/12.52  # Contextual simplify-reflections      : 768
% 0.34/12.52  # Paramodulations                      : 669462
% 0.34/12.52  # Factorizations                       : 0
% 0.34/12.52  # Equation resolutions                 : 0
% 0.34/12.52  # Current number of processed clauses  : 14819
% 0.34/12.52  #    Positive orientable unit clauses  : 10385
% 0.34/12.52  #    Positive unorientable unit clauses: 0
% 0.34/12.52  #    Negative unit clauses             : 3
% 0.34/12.52  #    Non-unit-clauses                  : 4431
% 0.34/12.52  # Current number of unprocessed clauses: 125015
% 0.34/12.52  # ...number of literals in the above   : 399810
% 0.34/12.52  # Current number of archived formulas  : 0
% 0.34/12.52  # Current number of archived clauses   : 10945
% 0.34/12.52  # Clause-clause subsumption calls (NU) : 5109137
% 0.34/12.52  # Rec. Clause-clause subsumption calls : 2116016
% 0.34/12.52  # Non-unit clause-clause subsumptions  : 5131
% 0.34/12.52  # Unit Clause-clause subsumption calls : 4132391
% 0.34/12.52  # Rewrite failures with RHS unbound    : 0
% 0.34/12.52  # BW rewrite match attempts            : 374638
% 0.34/12.52  # BW rewrite match successes           : 7031
% 0.34/12.52  # Condensation attempts                : 0
% 0.34/12.52  # Condensation successes               : 0
% 0.34/12.52  # Termbank termtop insertions          : 10803486
% 0.34/12.52  
% 0.34/12.52  # -------------------------------------------------
% 0.34/12.52  # User time                : 11.422 s
% 0.34/12.52  # System time              : 0.137 s
% 0.34/12.52  # Total time               : 11.559 s
% 0.34/12.52  # Maximum resident set size: 149136 pages
% 0.34/23.43  eprover: CPU time limit exceeded, terminating
% 0.34/23.44  eprover: CPU time limit exceeded, terminating
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.45  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.46  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.47  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.48  eprover: No such file or directory
% 0.34/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.49  eprover: No such file or directory
% 0.34/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.49  eprover: No such file or directory
% 0.34/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.49  eprover: No such file or directory
% 0.34/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.50  eprover: No such file or directory
% 0.34/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.50  eprover: No such file or directory
% 0.34/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.50  eprover: No such file or directory
% 0.34/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.34/23.50  eprover: No such file or directory
% 0.34/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.51  eprover: No such file or directory
% 0.34/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.34/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------