TSTP Solution File: GEO594+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 04:06:36 EDT 2022

% Result   : Theorem 0.23s 3.41s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   52
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  396 ( 144 unt;   0 def)
%            Number of atoms       :  811 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  730 ( 315   ~; 315   |;  55   &)
%                                         (   0 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-5 aty)
%            Number of variables   :  989 (  39 sgn 436   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416056,conjecture,
    ! [X1,X2,X7,X8,X4,X5] :
      ( ( ( cong(X7,X1,X1,X2)
          | cong(X7,X1,X7,X2) )
        & circle(X8,X1,X2,X7)
        & coll(X4,X7,X8)
        & coll(X4,X1,X2)
        & perp(X1,X8,X1,X5)
        & para(X1,X8,X5,X7) )
     => cong(X7,X5,X7,X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL416056) ).

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

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

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

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

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

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

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

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

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

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

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

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

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

fof(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

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

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

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

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

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

fof(ruleX14,axiom,
    ! [X1,X2,X3,X4] :
    ? [X8] :
      ( ( perp(X1,X3,X3,X2)
        & cyclic(X1,X2,X3,X4) )
     => circle(X8,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).

fof(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(ruleX10,axiom,
    ! [X1,X2,X3,X14] :
    ? [X9,X10] :
      ( ( perp(X1,X14,X2,X3)
        & perp(X2,X14,X1,X3) )
     => ( coll(X9,X3,X2)
        & perp(X1,X9,X3,X2)
        & coll(X10,X3,X1)
        & perp(X2,X10,X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX10) ).

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

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

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

fof(ruleD51,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X7,X2,X3)
        & eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
     => midp(X7,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).

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

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

fof(ruleD12,axiom,
    ! [X1,X2,X3,X8] :
      ( ( cong(X8,X1,X8,X2)
        & cong(X8,X1,X8,X3) )
     => circle(X8,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).

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

fof(ruleX17,axiom,
    ! [X1,X2,X8] :
    ? [X3] :
      ( ( cong(X8,X1,X8,X2)
        & perp(X1,X8,X8,X2) )
     => ( coll(X1,X8,X3)
        & cong(X8,X1,X8,X3) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX17) ).

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

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X1,X2,X3,X4)
        & cong(X3,X4,X5,X6) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

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

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

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

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

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

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

fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).

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

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

fof(ruleX15,axiom,
    ! [X1,X2,X3,X5,X6] :
    ? [X9] :
      ( ( perp(X1,X3,X3,X2)
        & coll(X2,X5,X6) )
     => ( coll(X9,X5,X6)
        & perp(X9,X1,X5,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).

fof(c_0_44,negated_conjecture,
    ~ ! [X1,X2,X7,X8,X4,X5] :
        ( ( ( cong(X7,X1,X1,X2)
            | cong(X7,X1,X7,X2) )
          & circle(X8,X1,X2,X7)
          & coll(X4,X7,X8)
          & coll(X4,X1,X2)
          & perp(X1,X8,X1,X5)
          & para(X1,X8,X5,X7) )
       => cong(X7,X5,X7,X4) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416056]) ).

fof(c_0_45,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_46,negated_conjecture,
    ( ( cong(esk3_0,esk1_0,esk1_0,esk2_0)
      | cong(esk3_0,esk1_0,esk3_0,esk2_0) )
    & circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & coll(esk5_0,esk3_0,esk4_0)
    & coll(esk5_0,esk1_0,esk2_0)
    & perp(esk1_0,esk4_0,esk1_0,esk6_0)
    & para(esk1_0,esk4_0,esk6_0,esk3_0)
    & ~ cong(esk3_0,esk6_0,esk3_0,esk5_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).

fof(c_0_47,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_48,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    para(esk1_0,esk4_0,esk6_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_50,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_51,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_47]) ).

cnf(c_0_52,negated_conjecture,
    eqangle(esk1_0,esk4_0,X1,X2,esk6_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_53,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_54,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk4_0,X1,X2,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_56,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_57,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_53]) ).

cnf(c_0_58,negated_conjecture,
    eqangle(X1,X2,X1,X2,esk1_0,esk4_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_59,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_60,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_49])]) ).

fof(c_0_62,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_63,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

fof(c_0_65,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_66,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_67,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_63,c_0_61]) ).

fof(c_0_68,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_69,negated_conjecture,
    eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
    inference(spm,[status(thm)],[c_0_48,c_0_64]) ).

fof(c_0_70,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])]) ).

fof(c_0_71,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_72,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_73,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_74,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_75,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

fof(c_0_76,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])]) ).

fof(c_0_77,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])])])]) ).

cnf(c_0_78,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
    inference(spm,[status(thm)],[c_0_51,c_0_69]) ).

cnf(c_0_79,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_80,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_71]) ).

cnf(c_0_81,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_82,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

fof(c_0_83,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ para(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

fof(c_0_84,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

cnf(c_0_85,negated_conjecture,
    para(esk6_0,esk3_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_75,c_0_49]) ).

cnf(c_0_86,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_76]) ).

cnf(c_0_87,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_77]) ).

cnf(c_0_88,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
    inference(spm,[status(thm)],[c_0_54,c_0_78]) ).

cnf(c_0_89,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2)
    | ~ coll(X4,X3,X2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_90,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82])]) ).

cnf(c_0_91,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
    inference(spm,[status(thm)],[c_0_48,c_0_61]) ).

fof(c_0_92,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_93,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_94,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_95,negated_conjecture,
    perp(esk1_0,esk4_0,esk1_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_96,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ perp(X17,X18,X19,X20)
      | perp(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).

cnf(c_0_97,negated_conjecture,
    eqangle(esk6_0,esk3_0,X1,X2,esk1_0,esk4_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_85]) ).

cnf(c_0_98,plain,
    ( perp(X1,X2,X2,X3)
    | ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1)
    | ~ coll(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_86,c_0_80]) ).

fof(c_0_99,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_100,negated_conjecture,
    ( cong(X1,X1,X2,X2)
    | ~ cyclic(X1,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_101,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).

cnf(c_0_102,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_54,c_0_91]) ).

cnf(c_0_103,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_92]) ).

cnf(c_0_104,negated_conjecture,
    ( para(X1,X2,esk1_0,esk4_0)
    | ~ para(X1,X2,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_85]) ).

cnf(c_0_105,negated_conjecture,
    ( para(X1,X2,esk1_0,esk6_0)
    | ~ perp(X1,X2,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_106,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_96]) ).

cnf(c_0_107,negated_conjecture,
    eqangle(esk6_0,esk3_0,esk1_0,esk4_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_54,c_0_97]) ).

cnf(c_0_108,plain,
    ( perp(X1,X2,X2,X3)
    | ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_90])]) ).

cnf(c_0_109,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_110,negated_conjecture,
    cong(X1,X1,X2,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).

fof(c_0_111,plain,
    ! [X9,X10,X11,X12] :
      ( ~ perp(X9,X11,X11,X10)
      | ~ cyclic(X9,X10,X11,X12)
      | circle(esk24_3(X9,X10,X11),X9,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX14])])])])]) ).

fof(c_0_112,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( ~ eqangle(X15,X16,X17,X18,X19,X20,X21,X22)
      | ~ eqangle(X19,X20,X21,X22,X23,X24,X25,X26)
      | eqangle(X15,X16,X17,X18,X23,X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_113,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk4_0,X2,X1,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_103,c_0_55]) ).

cnf(c_0_114,negated_conjecture,
    eqangle(esk1_0,esk4_0,esk6_0,esk3_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_54,c_0_52]) ).

cnf(c_0_115,negated_conjecture,
    ( para(esk1_0,esk4_0,X1,X2)
    | ~ para(X1,X2,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_104]) ).

cnf(c_0_116,negated_conjecture,
    ( para(esk1_0,esk6_0,X1,X2)
    | ~ perp(X1,X2,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_105]) ).

cnf(c_0_117,negated_conjecture,
    ( perp(esk6_0,esk3_0,esk1_0,esk4_0)
    | ~ perp(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_118,plain,
    perp(X1,X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).

cnf(c_0_119,plain,
    ( circle(esk24_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ perp(X1,X3,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_120,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_121,negated_conjecture,
    eqangle(X1,X2,X2,X1,esk1_0,esk4_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_113]) ).

cnf(c_0_122,negated_conjecture,
    ( perp(esk1_0,esk4_0,esk6_0,esk3_0)
    | ~ perp(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_114]) ).

cnf(c_0_123,negated_conjecture,
    ( para(esk1_0,esk4_0,esk1_0,esk6_0)
    | ~ perp(esk6_0,esk3_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_124,negated_conjecture,
    perp(esk6_0,esk3_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

fof(c_0_125,plain,
    ! [X15,X16,X17,X18] :
      ( ( coll(esk16_3(X15,X16,X17),X17,X16)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( perp(X15,esk16_3(X15,X16,X17),X17,X16)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( coll(esk17_3(X15,X16,X17),X17,X15)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( perp(X16,esk17_3(X15,X16,X17),X17,X15)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX10])])])])])]) ).

fof(c_0_126,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_127,plain,
    ( circle(esk24_3(X1,X2,X3),X1,X2,X3)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ perp(X1,X3,X3,X2)
    | ~ coll(X3,X4,X2) ),
    inference(spm,[status(thm)],[c_0_119,c_0_80]) ).

cnf(c_0_128,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X6)
    | ~ eqangle(X1,X2,X3,X4,X7,X5,X5,X6)
    | ~ cong(X7,X5,X7,X6) ),
    inference(spm,[status(thm)],[c_0_120,c_0_109]) ).

cnf(c_0_129,negated_conjecture,
    ( perp(X1,X2,X2,X1)
    | ~ perp(esk1_0,esk4_0,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_106,c_0_121]) ).

cnf(c_0_130,negated_conjecture,
    perp(esk1_0,esk4_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_122,c_0_118]) ).

cnf(c_0_131,negated_conjecture,
    para(esk1_0,esk4_0,esk1_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).

cnf(c_0_132,negated_conjecture,
    para(esk1_0,esk4_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_60,c_0_49]) ).

fof(c_0_133,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_134,plain,
    ( perp(X3,esk16_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_135,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_136,plain,
    ( circle(esk24_3(X1,X2,X3),X1,X2,X3)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ perp(X1,X3,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_90])]) ).

cnf(c_0_137,negated_conjecture,
    ( eqangle(X1,X2,X1,X2,X3,X4,X4,X4)
    | ~ cong(X4,X3,X4,X4) ),
    inference(spm,[status(thm)],[c_0_128,c_0_88]) ).

cnf(c_0_138,negated_conjecture,
    perp(X1,X2,X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_130])]) ).

fof(c_0_139,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])]) ).

fof(c_0_140,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ coll(X13,X10,X11)
      | ~ eqangle(X9,X10,X9,X11,X12,X10,X12,X13)
      | midp(X13,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).

fof(c_0_141,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_142,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,X5,X6,X6,X5)
    | ~ eqangle(X1,X2,X3,X4,X7,X8,X7,X8) ),
    inference(spm,[status(thm)],[c_0_120,c_0_88]) ).

cnf(c_0_143,negated_conjecture,
    eqangle(esk1_0,esk4_0,X1,X2,esk1_0,esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_131]) ).

cnf(c_0_144,negated_conjecture,
    eqangle(esk1_0,esk4_0,X1,X2,esk3_0,esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_132]) ).

cnf(c_0_145,negated_conjecture,
    para(esk3_0,esk6_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_75,c_0_132]) ).

cnf(c_0_146,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_147,negated_conjecture,
    perp(esk1_0,esk16_3(esk1_0,esk1_0,esk6_0),esk6_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_95]),c_0_95])]) ).

cnf(c_0_148,plain,
    ( perp(X1,X2,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_90])]) ).

cnf(c_0_149,negated_conjecture,
    circle(esk24_3(X1,X1,X2),X1,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]),c_0_110])]) ).

cnf(c_0_150,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_151,plain,
    ( midp(X1,X2,X3)
    | ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
    | ~ coll(X1,X2,X3)
    | ~ circle(X5,X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_152,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_153,negated_conjecture,
    eqangle(esk1_0,esk4_0,esk1_0,esk6_0,X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_154,negated_conjecture,
    ( para(esk1_0,esk4_0,X1,X2)
    | ~ para(esk3_0,esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_144]) ).

cnf(c_0_155,negated_conjecture,
    eqangle(esk3_0,esk6_0,X1,X2,esk1_0,esk4_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_145]) ).

cnf(c_0_156,negated_conjecture,
    perp(esk1_0,esk6_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_146,c_0_95]) ).

cnf(c_0_157,negated_conjecture,
    ( para(X1,X2,esk6_0,esk1_0)
    | ~ perp(X1,X2,esk1_0,esk16_3(esk1_0,esk1_0,esk6_0)) ),
    inference(spm,[status(thm)],[c_0_94,c_0_147]) ).

cnf(c_0_158,negated_conjecture,
    perp(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_159,negated_conjecture,
    perp(esk1_0,esk4_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_150,c_0_95]) ).

fof(c_0_160,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_161,plain,
    ( midp(X1,X2,X3)
    | ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
    | ~ circle(X5,X4,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_90])]) ).

cnf(c_0_162,negated_conjecture,
    eqangle(X1,X2,X2,X1,esk1_0,esk4_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

fof(c_0_163,plain,
    ! [X9,X10,X11,X12] :
      ( ~ cong(X12,X9,X12,X10)
      | ~ cong(X12,X9,X12,X11)
      | circle(X12,X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).

cnf(c_0_164,negated_conjecture,
    ( para(esk1_0,esk4_0,esk1_0,esk6_0)
    | ~ perp(esk3_0,esk6_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_154,c_0_105]) ).

cnf(c_0_165,negated_conjecture,
    eqangle(esk3_0,esk6_0,esk1_0,esk4_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_54,c_0_155]) ).

fof(c_0_166,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])]) ).

fof(c_0_167,plain,
    ! [X9,X10,X11] :
      ( ( coll(X9,X11,esk10_3(X9,X10,X11))
        | ~ cong(X11,X9,X11,X10)
        | ~ perp(X9,X11,X11,X10) )
      & ( cong(X11,X9,X11,esk10_3(X9,X10,X11))
        | ~ cong(X11,X9,X11,X10)
        | ~ perp(X9,X11,X11,X10) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX17])])])])]) ).

cnf(c_0_168,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk4_0,X1,X2,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_51,c_0_143]) ).

fof(c_0_169,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_170,negated_conjecture,
    ( para(X1,X2,esk1_0,esk4_0)
    | ~ perp(X1,X2,esk1_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_94,c_0_156]) ).

cnf(c_0_171,negated_conjecture,
    ( para(X1,X2,esk1_0,esk6_0)
    | ~ perp(X3,X4,esk1_0,esk4_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_93,c_0_105]) ).

cnf(c_0_172,negated_conjecture,
    para(esk1_0,esk1_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_173,negated_conjecture,
    perp(esk6_0,esk1_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_146,c_0_159]) ).

cnf(c_0_174,negated_conjecture,
    ( perp(X1,X2,X1,X2)
    | ~ perp(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_102]) ).

cnf(c_0_175,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_160]) ).

cnf(c_0_176,negated_conjecture,
    ( midp(esk6_0,esk4_0,esk4_0)
    | ~ circle(esk1_0,esk4_0,esk4_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_177,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_178,negated_conjecture,
    ( para(X1,X2,esk6_0,esk3_0)
    | ~ para(X1,X2,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_49]) ).

cnf(c_0_179,negated_conjecture,
    ( para(esk1_0,esk6_0,esk1_0,esk4_0)
    | ~ perp(esk3_0,esk6_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_164]) ).

cnf(c_0_180,negated_conjecture,
    ( perp(esk3_0,esk6_0,esk1_0,esk4_0)
    | ~ perp(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_165]) ).

fof(c_0_181,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ cong(X7,X8,X9,X10)
      | ~ cong(X9,X10,X11,X12)
      | cong(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_182,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_166]) ).

cnf(c_0_183,plain,
    ( cong(X2,X1,X2,esk10_3(X1,X3,X2))
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_184,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk4_0,X2,X1,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_103,c_0_168]) ).

cnf(c_0_185,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_186,negated_conjecture,
    ( para(X1,X2,esk1_0,esk4_0)
    | ~ perp(X3,X4,esk1_0,esk6_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_93,c_0_170]) ).

cnf(c_0_187,negated_conjecture,
    para(esk1_0,esk1_0,esk1_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173])]) ).

cnf(c_0_188,negated_conjecture,
    perp(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_174,c_0_118]) ).

cnf(c_0_189,negated_conjecture,
    ( midp(X1,esk6_0,X2)
    | ~ midp(X1,X3,esk1_0)
    | ~ perp(X3,X2,esk1_0,esk4_0)
    | ~ para(X3,esk6_0,esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_175,c_0_105]) ).

cnf(c_0_190,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_61]),c_0_61])]) ).

cnf(c_0_191,negated_conjecture,
    ( midp(esk6_0,esk4_0,esk4_0)
    | ~ cong(esk1_0,esk4_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_192,negated_conjecture,
    ( para(esk1_0,esk6_0,esk6_0,esk3_0)
    | ~ perp(esk3_0,esk6_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_193,negated_conjecture,
    perp(esk3_0,esk6_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_180,c_0_118]) ).

cnf(c_0_194,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_195,plain,
    ( cong(X1,esk10_3(X2,X3,X1),X1,X2)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X2,X1,X1,X3) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_196,negated_conjecture,
    ( cong(esk1_0,esk4_0,esk1_0,esk6_0)
    | ~ cyclic(esk1_0,esk4_0,esk1_0,esk1_0)
    | ~ cyclic(esk1_0,esk4_0,esk1_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_184]) ).

cnf(c_0_197,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X2,X1,X2,X3,X4,X1,X4,X3)
    | ~ coll(X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_185,c_0_80]) ).

cnf(c_0_198,negated_conjecture,
    para(esk1_0,esk1_0,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_188])]) ).

fof(c_0_199,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_200,negated_conjecture,
    ( midp(X1,esk6_0,esk4_0)
    | ~ midp(X1,X2,esk1_0)
    | ~ perp(X2,esk4_0,esk1_0,esk4_0)
    | ~ para(X2,esk6_0,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_104]) ).

cnf(c_0_201,negated_conjecture,
    ( midp(esk6_0,X1,X1)
    | ~ cong(esk1_0,esk4_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_202,negated_conjecture,
    para(esk1_0,esk6_0,esk6_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193])]) ).

cnf(c_0_203,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X3,esk10_3(X4,X5,X3))
    | ~ cong(X3,X4,X3,X5)
    | ~ perp(X4,X3,X3,X5) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_204,negated_conjecture,
    ( cong(esk1_0,esk4_0,esk1_0,esk6_0)
    | ~ cyclic(esk1_0,esk4_0,esk1_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_101]),c_0_91])]) ).

cnf(c_0_205,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X2,X1,X2,X3,X4,X1,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_90])]) ).

cnf(c_0_206,negated_conjecture,
    perp(esk1_0,esk6_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_150,c_0_156]) ).

cnf(c_0_207,negated_conjecture,
    coll(esk5_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_208,negated_conjecture,
    para(esk1_0,esk1_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_60,c_0_198]) ).

fof(c_0_209,plain,
    ! [X8,X9,X10,X11] :
      ( ~ perp(X8,X9,X9,X10)
      | ~ midp(X11,X8,X10)
      | cong(X8,X11,X9,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_210,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_199]) ).

cnf(c_0_211,negated_conjecture,
    ( midp(esk6_0,esk6_0,esk4_0)
    | ~ cong(esk1_0,esk4_0,esk1_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_188]),c_0_202])]) ).

cnf(c_0_212,plain,
    ( cong(X1,X2,X1,X2)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X2,X1,X1,X3) ),
    inference(spm,[status(thm)],[c_0_203,c_0_183]) ).

cnf(c_0_213,negated_conjecture,
    cong(esk1_0,esk4_0,esk1_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_102])]) ).

cnf(c_0_214,negated_conjecture,
    perp(esk4_0,esk1_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_146,c_0_206]) ).

cnf(c_0_215,negated_conjecture,
    coll(esk1_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_66,c_0_207]) ).

cnf(c_0_216,negated_conjecture,
    para(esk4_0,esk1_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_75,c_0_208]) ).

cnf(c_0_217,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_209]) ).

cnf(c_0_218,negated_conjecture,
    ( midp(esk6_0,esk4_0,esk6_0)
    | ~ cong(esk1_0,esk4_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_219,negated_conjecture,
    cong(esk1_0,esk4_0,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_214])]) ).

cnf(c_0_220,negated_conjecture,
    coll(esk1_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_73,c_0_215]) ).

cnf(c_0_221,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X8,X7) ),
    inference(spm,[status(thm)],[c_0_120,c_0_78]) ).

cnf(c_0_222,negated_conjecture,
    eqangle(esk4_0,esk1_0,X1,X2,esk1_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_216]) ).

fof(c_0_223,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])]) ).

fof(c_0_224,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_225,negated_conjecture,
    ( cong(esk4_0,X1,esk1_0,X1)
    | ~ midp(X1,esk4_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_217,c_0_214]) ).

cnf(c_0_226,negated_conjecture,
    midp(esk6_0,esk4_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219])]) ).

cnf(c_0_227,negated_conjecture,
    coll(esk2_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_66,c_0_220]) ).

cnf(c_0_228,negated_conjecture,
    eqangle(esk4_0,esk1_0,X1,X2,esk1_0,esk1_0,X2,X1),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

fof(c_0_229,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_230,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_223]) ).

cnf(c_0_231,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_224]) ).

cnf(c_0_232,negated_conjecture,
    cong(esk4_0,esk6_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_233,negated_conjecture,
    ( coll(X1,esk5_0,esk2_0)
    | ~ coll(esk2_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_227]) ).

cnf(c_0_234,negated_conjecture,
    coll(esk5_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_235,negated_conjecture,
    ( midp(esk4_0,esk1_0,esk1_0)
    | ~ circle(esk1_0,esk4_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_228]) ).

cnf(c_0_236,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_229]) ).

cnf(c_0_237,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2)
    | ~ coll(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_210,c_0_230]) ).

cnf(c_0_238,negated_conjecture,
    cong(esk4_0,esk6_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_239,negated_conjecture,
    coll(esk5_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_73,c_0_207]) ).

cnf(c_0_240,negated_conjecture,
    coll(esk5_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_233,c_0_227]) ).

cnf(c_0_241,negated_conjecture,
    coll(esk3_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_66,c_0_234]) ).

cnf(c_0_242,negated_conjecture,
    ( midp(esk4_0,esk1_0,esk1_0)
    | ~ cong(esk1_0,esk4_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_235,c_0_177]) ).

cnf(c_0_243,negated_conjecture,
    ( cong(esk1_0,esk4_0,esk1_0,esk1_0)
    | ~ midp(esk6_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_206]) ).

cnf(c_0_244,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_90])]) ).

cnf(c_0_245,negated_conjecture,
    cong(esk6_0,esk1_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_182,c_0_238]) ).

cnf(c_0_246,negated_conjecture,
    ( coll(X1,esk1_0,esk5_0)
    | ~ coll(esk5_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_239]) ).

cnf(c_0_247,negated_conjecture,
    coll(esk5_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_73,c_0_240]) ).

cnf(c_0_248,negated_conjecture,
    coll(esk3_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_73,c_0_241]) ).

cnf(c_0_249,negated_conjecture,
    ( midp(esk4_0,X1,X1)
    | ~ cong(esk1_0,esk4_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_190,c_0_242]) ).

cnf(c_0_250,negated_conjecture,
    ( cong(esk1_0,esk4_0,esk1_0,esk1_0)
    | ~ cong(esk6_0,esk1_0,esk6_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_251,negated_conjecture,
    cong(esk6_0,esk1_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_231,c_0_245]) ).

cnf(c_0_252,negated_conjecture,
    coll(esk5_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_253,negated_conjecture,
    coll(esk4_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_66,c_0_248]) ).

fof(c_0_254,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | perp(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

cnf(c_0_255,negated_conjecture,
    ( midp(esk4_0,esk6_0,esk4_0)
    | ~ cong(esk1_0,esk4_0,esk1_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_249]),c_0_188]),c_0_202])]) ).

cnf(c_0_256,negated_conjecture,
    cong(esk1_0,esk4_0,esk1_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251])]) ).

cnf(c_0_257,negated_conjecture,
    coll(esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_73,c_0_252]) ).

cnf(c_0_258,negated_conjecture,
    ( coll(X1,esk5_0,esk4_0)
    | ~ coll(esk4_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_253]) ).

cnf(c_0_259,negated_conjecture,
    ( para(esk1_0,esk4_0,esk6_0,esk1_0)
    | ~ perp(esk6_0,esk3_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_123]) ).

cnf(c_0_260,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_254]) ).

cnf(c_0_261,negated_conjecture,
    ( cong(esk6_0,X1,esk1_0,X1)
    | ~ midp(X1,esk6_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_217,c_0_173]) ).

cnf(c_0_262,negated_conjecture,
    midp(esk4_0,esk6_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_256])]) ).

cnf(c_0_263,negated_conjecture,
    coll(esk5_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_73,c_0_234]) ).

cnf(c_0_264,negated_conjecture,
    ( coll(X1,esk1_0,esk5_0)
    | ~ coll(esk5_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_257]) ).

cnf(c_0_265,negated_conjecture,
    coll(esk5_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_258,c_0_253]) ).

cnf(c_0_266,negated_conjecture,
    ( para(esk6_0,esk1_0,esk1_0,esk4_0)
    | ~ perp(esk6_0,esk3_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_259]) ).

cnf(c_0_267,negated_conjecture,
    ( perp(esk6_0,esk3_0,X1,X2)
    | ~ perp(esk1_0,esk4_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_260,c_0_85]) ).

cnf(c_0_268,negated_conjecture,
    ( perp(esk3_0,esk6_0,X1,X2)
    | ~ perp(esk1_0,esk4_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_260,c_0_145]) ).

cnf(c_0_269,negated_conjecture,
    cong(esk6_0,esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_261,c_0_262]) ).

cnf(c_0_270,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_271,negated_conjecture,
    coll(esk4_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_66,c_0_263]) ).

cnf(c_0_272,negated_conjecture,
    coll(esk4_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_273,negated_conjecture,
    ( para(esk6_0,esk1_0,esk6_0,esk3_0)
    | ~ perp(esk6_0,esk3_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_266]) ).

cnf(c_0_274,negated_conjecture,
    perp(esk6_0,esk3_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_267,c_0_95]) ).

cnf(c_0_275,negated_conjecture,
    ( cong(esk3_0,X1,esk6_0,X1)
    | ~ midp(X1,esk3_0,X2)
    | ~ perp(esk1_0,esk4_0,esk6_0,X2) ),
    inference(spm,[status(thm)],[c_0_217,c_0_268]) ).

cnf(c_0_276,negated_conjecture,
    midp(esk6_0,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_219])]) ).

cnf(c_0_277,negated_conjecture,
    cong(esk1_0,esk4_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_182,c_0_269]) ).

cnf(c_0_278,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk2_0,esk3_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_270]) ).

cnf(c_0_279,negated_conjecture,
    ( coll(X1,esk3_0,esk4_0)
    | ~ coll(esk4_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_271]) ).

cnf(c_0_280,negated_conjecture,
    coll(esk4_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_73,c_0_272]) ).

cnf(c_0_281,negated_conjecture,
    para(esk6_0,esk1_0,esk6_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_124])]) ).

cnf(c_0_282,negated_conjecture,
    perp(esk1_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_146,c_0_274]) ).

cnf(c_0_283,negated_conjecture,
    cong(esk3_0,esk6_0,esk6_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_130])]) ).

cnf(c_0_284,negated_conjecture,
    cong(esk1_0,esk4_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_231,c_0_277]) ).

cnf(c_0_285,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk3_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_278]) ).

cnf(c_0_286,negated_conjecture,
    coll(esk1_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_287,negated_conjecture,
    eqangle(esk6_0,esk1_0,X1,X2,esk6_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_281]) ).

cnf(c_0_288,negated_conjecture,
    ( cong(esk1_0,esk6_0,esk1_0,esk3_0)
    | ~ midp(esk6_0,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_282]) ).

cnf(c_0_289,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_90])]) ).

cnf(c_0_290,negated_conjecture,
    cong(esk6_0,esk6_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_182,c_0_283]) ).

cnf(c_0_291,negated_conjecture,
    ( cong(esk1_0,esk6_0,esk1_0,esk1_0)
    | ~ midp(esk4_0,esk6_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_159]) ).

cnf(c_0_292,negated_conjecture,
    cong(esk4_0,esk6_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_182,c_0_284]) ).

fof(c_0_293,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_294,negated_conjecture,
    ( perp(esk3_0,esk2_0,esk1_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_285]) ).

cnf(c_0_295,negated_conjecture,
    coll(esk1_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_73,c_0_286]) ).

cnf(c_0_296,negated_conjecture,
    eqangle(esk6_0,esk1_0,esk6_0,esk3_0,X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_142,c_0_287]) ).

cnf(c_0_297,negated_conjecture,
    ( cong(esk1_0,esk6_0,esk1_0,esk3_0)
    | ~ cong(esk6_0,esk6_0,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_289]) ).

cnf(c_0_298,negated_conjecture,
    cong(esk6_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_231,c_0_290]) ).

cnf(c_0_299,negated_conjecture,
    ( cong(esk1_0,esk6_0,esk1_0,esk1_0)
    | ~ cong(esk4_0,esk6_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_291,c_0_289]) ).

cnf(c_0_300,negated_conjecture,
    cong(esk4_0,esk6_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_231,c_0_292]) ).

cnf(c_0_301,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_293]) ).

cnf(c_0_302,negated_conjecture,
    ( perp(esk3_0,esk2_0,esk2_0,esk1_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_294]) ).

cnf(c_0_303,negated_conjecture,
    coll(esk4_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_66,c_0_295]) ).

cnf(c_0_304,negated_conjecture,
    ( midp(esk1_0,esk1_0,esk3_0)
    | ~ circle(esk1_0,esk6_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_296]) ).

cnf(c_0_305,negated_conjecture,
    cong(esk1_0,esk6_0,esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_297,c_0_298])]) ).

cnf(c_0_306,negated_conjecture,
    cong(esk1_0,esk6_0,esk1_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_300])]) ).

fof(c_0_307,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_308,negated_conjecture,
    ( eqangle(esk1_0,X1,esk1_0,esk2_0,esk3_0,esk1_0,esk3_0,esk2_0)
    | ~ perp(esk4_0,esk1_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_301,c_0_270]) ).

cnf(c_0_309,negated_conjecture,
    perp(esk3_0,esk2_0,esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_303])]) ).

cnf(c_0_310,negated_conjecture,
    midp(esk1_0,esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_177]),c_0_305]),c_0_306])]) ).

fof(c_0_311,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_312,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_307]) ).

cnf(c_0_313,negated_conjecture,
    ( eqangle(esk3_0,esk1_0,esk3_0,esk2_0,esk1_0,X1,esk1_0,esk2_0)
    | ~ perp(esk4_0,esk1_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_308]) ).

cnf(c_0_314,negated_conjecture,
    perp(X1,X1,X2,X1),
    inference(spm,[status(thm)],[c_0_150,c_0_158]) ).

cnf(c_0_315,negated_conjecture,
    ( cong(esk3_0,X1,esk2_0,X1)
    | ~ midp(X1,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_217,c_0_309]) ).

cnf(c_0_316,negated_conjecture,
    midp(esk1_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_210,c_0_310]) ).

cnf(c_0_317,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_318,negated_conjecture,
    cong(esk6_0,X1,esk6_0,X1),
    inference(spm,[status(thm)],[c_0_312,c_0_276]) ).

cnf(c_0_319,negated_conjecture,
    eqangle(X1,X2,esk6_0,esk3_0,X1,X2,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_51,c_0_97]) ).

cnf(c_0_320,negated_conjecture,
    ( para(esk1_0,esk4_0,X1,X2)
    | ~ perp(X1,X2,esk1_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_170]) ).

cnf(c_0_321,negated_conjecture,
    ( perp(esk3_0,esk1_0,esk3_0,esk2_0)
    | ~ perp(esk1_0,X1,esk1_0,esk2_0)
    | ~ perp(esk4_0,esk1_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_313]) ).

cnf(c_0_322,negated_conjecture,
    perp(X1,X2,X2,X2),
    inference(spm,[status(thm)],[c_0_146,c_0_314]) ).

cnf(c_0_323,negated_conjecture,
    cong(esk3_0,esk1_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_315,c_0_316]) ).

cnf(c_0_324,negated_conjecture,
    ( perp(X1,X2,esk1_0,esk4_0)
    | ~ perp(X1,X2,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_106,c_0_55]) ).

cnf(c_0_325,negated_conjecture,
    ( perp(esk1_0,esk6_0,X1,X2)
    | ~ perp(X3,X4,esk1_0,esk4_0)
    | ~ perp(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_260,c_0_116]) ).

cnf(c_0_326,negated_conjecture,
    perp(esk6_0,esk6_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_318])]) ).

cnf(c_0_327,negated_conjecture,
    eqangle(X1,X2,esk6_0,esk3_0,X2,X1,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_103,c_0_319]) ).

cnf(c_0_328,negated_conjecture,
    ( para(esk1_0,esk4_0,X1,X2)
    | ~ perp(X2,X1,esk1_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_320]) ).

cnf(c_0_329,negated_conjecture,
    ( perp(esk3_0,esk1_0,esk3_0,esk2_0)
    | ~ perp(esk4_0,esk1_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_321,c_0_158]) ).

cnf(c_0_330,negated_conjecture,
    ( cong(esk3_0,esk1_0,esk3_0,esk2_0)
    | ~ midp(esk2_0,esk1_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_294]) ).

cnf(c_0_331,negated_conjecture,
    ( midp(esk2_0,esk1_0,esk2_0)
    | ~ circle(esk1_0,esk3_0,esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_313]),c_0_322])]) ).

cnf(c_0_332,negated_conjecture,
    cong(esk3_0,esk1_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_231,c_0_323]) ).

cnf(c_0_333,negated_conjecture,
    ( perp(esk3_0,esk6_0,esk1_0,esk4_0)
    | ~ perp(esk1_0,esk4_0,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_180,c_0_324]) ).

fof(c_0_334,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ( coll(esk18_5(X10,X11,X12,X13,X14),X13,X14)
        | ~ perp(X10,X12,X12,X11)
        | ~ coll(X11,X13,X14) )
      & ( perp(esk18_5(X10,X11,X12,X13,X14),X10,X13,X14)
        | ~ perp(X10,X12,X12,X11)
        | ~ coll(X11,X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX15])])])])]) ).

cnf(c_0_335,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ para(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_69]) ).

cnf(c_0_336,negated_conjecture,
    ( para(X1,X2,esk6_0,esk3_0)
    | ~ perp(X1,X2,esk1_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_94,c_0_282]) ).

cnf(c_0_337,negated_conjecture,
    perp(esk1_0,esk6_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_326]),c_0_326])]) ).

cnf(c_0_338,negated_conjecture,
    eqangle(esk6_0,esk3_0,X1,X2,esk1_0,esk4_0,X2,X1),
    inference(spm,[status(thm)],[c_0_51,c_0_327]) ).

cnf(c_0_339,negated_conjecture,
    ( perp(esk1_0,esk4_0,X1,X2)
    | ~ perp(X3,X4,esk1_0,esk6_0)
    | ~ perp(X4,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_260,c_0_328]) ).

cnf(c_0_340,negated_conjecture,
    perp(esk3_0,esk1_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_322])]) ).

cnf(c_0_341,negated_conjecture,
    ( cong(esk3_0,esk1_0,esk3_0,esk2_0)
    | ~ midp(esk2_0,esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_303])]) ).

cnf(c_0_342,negated_conjecture,
    ( midp(esk2_0,esk1_0,esk2_0)
    | ~ cong(esk1_0,esk3_0,esk1_0,esk2_0)
    | ~ cong(esk1_0,esk3_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_331,c_0_177]) ).

cnf(c_0_343,negated_conjecture,
    cong(esk1_0,esk1_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_312,c_0_310]) ).

cnf(c_0_344,negated_conjecture,
    cong(esk1_0,esk2_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_182,c_0_332]) ).

cnf(c_0_345,negated_conjecture,
    ( cong(esk3_0,esk1_0,esk3_0,esk4_0)
    | ~ midp(esk6_0,esk1_0,esk4_0)
    | ~ perp(esk1_0,esk4_0,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_333]) ).

cnf(c_0_346,plain,
    ( perp(esk18_5(X4,X1,X5,X2,X3),X4,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ perp(X4,X5,X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_347,negated_conjecture,
    ( para(X1,X2,esk6_0,esk3_0)
    | ~ perp(X2,X1,esk1_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_335,c_0_336]) ).

cnf(c_0_348,negated_conjecture,
    perp(X1,X2,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_146,c_0_337]) ).

cnf(c_0_349,negated_conjecture,
    ( perp(esk6_0,esk3_0,X1,X2)
    | ~ perp(esk1_0,esk4_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_338]) ).

cnf(c_0_350,negated_conjecture,
    perp(esk1_0,esk4_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_326]),c_0_326])]) ).

cnf(c_0_351,negated_conjecture,
    ( cong(esk3_0,esk3_0,esk3_0,esk2_0)
    | ~ midp(esk1_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_340]) ).

cnf(c_0_352,negated_conjecture,
    ( cong(esk3_0,esk1_0,esk3_0,esk2_0)
    | ~ cong(esk1_0,esk3_0,esk1_0,esk2_0)
    | ~ cong(esk1_0,esk3_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_353,negated_conjecture,
    cong(esk1_0,esk3_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_182,c_0_343]) ).

cnf(c_0_354,negated_conjecture,
    cong(esk1_0,esk2_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_231,c_0_344]) ).

cnf(c_0_355,negated_conjecture,
    ( cong(esk3_0,esk1_0,esk3_0,esk4_0)
    | ~ midp(esk6_0,esk1_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_130])]) ).

cnf(c_0_356,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk18_5(X5,X6,X7,X3,X4),X5)
    | ~ perp(X5,X7,X7,X6)
    | ~ coll(X6,X3,X4) ),
    inference(spm,[status(thm)],[c_0_94,c_0_346]) ).

cnf(c_0_357,negated_conjecture,
    para(X1,X2,esk6_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_348])]) ).

cnf(c_0_358,negated_conjecture,
    perp(esk6_0,esk3_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_349,c_0_350])]) ).

cnf(c_0_359,negated_conjecture,
    ( cong(esk1_0,esk1_0,esk1_0,esk4_0)
    | ~ midp(esk6_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_236,c_0_156]) ).

cnf(c_0_360,negated_conjecture,
    ( cong(esk3_0,esk3_0,esk3_0,esk2_0)
    | ~ cong(esk1_0,esk2_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_351,c_0_244]) ).

cnf(c_0_361,negated_conjecture,
    ( cong(esk3_0,esk1_0,esk3_0,esk2_0)
    | ~ cong(esk1_0,esk3_0,esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_353])]) ).

cnf(c_0_362,negated_conjecture,
    cong(esk1_0,esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_182,c_0_354]) ).

cnf(c_0_363,negated_conjecture,
    ( cong(esk3_0,esk1_0,esk3_0,esk4_0)
    | ~ cong(esk6_0,esk1_0,esk6_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_355,c_0_289]) ).

cnf(c_0_364,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk18_5(X5,X6,X7,X3,X4),X5)
    | ~ perp(X5,X7,X7,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_90])]) ).

cnf(c_0_365,negated_conjecture,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_357]),c_0_358])]) ).

cnf(c_0_366,negated_conjecture,
    ( midp(esk6_0,esk1_0,esk4_0)
    | ~ circle(esk1_0,esk1_0,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_184]) ).

cnf(c_0_367,negated_conjecture,
    ( cong(esk1_0,esk1_0,esk1_0,esk4_0)
    | ~ cong(esk6_0,esk1_0,esk6_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_359,c_0_289]) ).

cnf(c_0_368,negated_conjecture,
    cong(esk3_0,esk3_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_354])]) ).

cnf(c_0_369,negated_conjecture,
    ( cong(X1,X2,X3,X3)
    | ~ cong(X1,X2,X4,X4) ),
    inference(spm,[status(thm)],[c_0_194,c_0_110]) ).

cnf(c_0_370,negated_conjecture,
    cong(esk3_0,esk1_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_362])]) ).

cnf(c_0_371,negated_conjecture,
    ( cong(esk3_0,esk4_0,esk3_0,esk1_0)
    | ~ cong(esk6_0,esk1_0,esk6_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_363]) ).

cnf(c_0_372,negated_conjecture,
    ( midp(X1,X2,esk4_0)
    | ~ midp(X1,esk1_0,X3)
    | ~ perp(X3,X2,esk1_0,esk6_0)
    | ~ para(esk1_0,X2,X3,esk4_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_320]) ).

cnf(c_0_373,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_365]),c_0_365])]) ).

cnf(c_0_374,negated_conjecture,
    ( midp(esk6_0,esk1_0,esk4_0)
    | ~ cong(esk1_0,esk1_0,esk1_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_177]),c_0_110])]) ).

cnf(c_0_375,negated_conjecture,
    cong(esk1_0,esk1_0,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_367,c_0_251])]) ).

cnf(c_0_376,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk2_0)
    | ~ cong(X1,X2,esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_368]) ).

cnf(c_0_377,negated_conjecture,
    cong(esk3_0,esk6_0,X1,X1),
    inference(spm,[status(thm)],[c_0_369,c_0_283]) ).

cnf(c_0_378,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk2_0)
    | ~ cong(X1,X2,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_370]) ).

cnf(c_0_379,negated_conjecture,
    cong(esk3_0,esk4_0,esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_251])]) ).

cnf(c_0_380,negated_conjecture,
    ( cong(esk3_0,X1,esk3_0,X2)
    | ~ midp(esk6_0,X1,X2)
    | ~ perp(esk1_0,esk4_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_236,c_0_268]) ).

cnf(c_0_381,negated_conjecture,
    ( midp(X1,X2,esk4_0)
    | ~ midp(X1,esk1_0,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_372,c_0_348])]),c_0_373])]) ).

cnf(c_0_382,negated_conjecture,
    midp(esk6_0,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_375])]) ).

cnf(c_0_383,negated_conjecture,
    cong(esk3_0,esk6_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_384,negated_conjecture,
    cong(esk3_0,esk4_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_378,c_0_379]) ).

cnf(c_0_385,negated_conjecture,
    ( cong(esk3_0,X1,esk3_0,X2)
    | ~ midp(esk6_0,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_350])]) ).

cnf(c_0_386,negated_conjecture,
    midp(esk6_0,X1,esk4_0),
    inference(spm,[status(thm)],[c_0_381,c_0_382]) ).

cnf(c_0_387,negated_conjecture,
    cong(esk3_0,esk2_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_182,c_0_383]) ).

cnf(c_0_388,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk2_0)
    | ~ cong(X1,X2,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_384]) ).

cnf(c_0_389,negated_conjecture,
    cong(esk3_0,X1,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_385,c_0_386]) ).

cnf(c_0_390,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk6_0)
    | ~ cong(X1,X2,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_387]) ).

cnf(c_0_391,negated_conjecture,
    cong(esk3_0,X1,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_388,c_0_389]) ).

cnf(c_0_392,negated_conjecture,
    cong(esk3_0,X1,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_390,c_0_391]) ).

cnf(c_0_393,negated_conjecture,
    ~ cong(esk3_0,esk6_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_394,negated_conjecture,
    cong(esk3_0,esk6_0,esk3_0,X1),
    inference(spm,[status(thm)],[c_0_182,c_0_392]) ).

cnf(c_0_395,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_394])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Fri Jun 17 23:56:32 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.23/3.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/3.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/3.41  # Preprocessing time       : 0.023 s
% 0.23/3.41  
% 0.23/3.41  # Proof found!
% 0.23/3.41  # SZS status Theorem
% 0.23/3.41  # SZS output start CNFRefutation
% See solution above
% 0.25/3.41  # Proof object total steps             : 396
% 0.25/3.41  # Proof object clause steps            : 307
% 0.25/3.41  # Proof object formula steps           : 89
% 0.25/3.41  # Proof object conjectures             : 246
% 0.25/3.41  # Proof object clause conjectures      : 243
% 0.25/3.41  # Proof object formula conjectures     : 3
% 0.25/3.41  # Proof object initial clauses used    : 49
% 0.25/3.41  # Proof object initial formulas used   : 44
% 0.25/3.41  # Proof object generating inferences   : 223
% 0.25/3.41  # Proof object simplifying inferences  : 121
% 0.25/3.41  # Training examples: 0 positive, 0 negative
% 0.25/3.41  # Parsed axioms                        : 95
% 0.25/3.41  # Removed by relevancy pruning/SinE    : 21
% 0.25/3.41  # Initial clauses                      : 99
% 0.25/3.41  # Removed in clause preprocessing      : 0
% 0.25/3.41  # Initial clauses in saturation        : 99
% 0.25/3.41  # Processed clauses                    : 13284
% 0.25/3.41  # ...of these trivial                  : 1673
% 0.25/3.41  # ...subsumed                          : 6282
% 0.25/3.41  # ...remaining for further processing  : 5329
% 0.25/3.41  # Other redundant clauses eliminated   : 0
% 0.25/3.41  # Clauses deleted for lack of memory   : 0
% 0.25/3.41  # Backward-subsumed                    : 535
% 0.25/3.41  # Backward-rewritten                   : 4337
% 0.25/3.41  # Generated clauses                    : 139901
% 0.25/3.41  # ...of the previous two non-trivial   : 115240
% 0.25/3.41  # Contextual simplify-reflections      : 385
% 0.25/3.41  # Paramodulations                      : 139901
% 0.25/3.41  # Factorizations                       : 0
% 0.25/3.41  # Equation resolutions                 : 0
% 0.25/3.41  # Current number of processed clauses  : 457
% 0.25/3.41  #    Positive orientable unit clauses  : 306
% 0.25/3.41  #    Positive unorientable unit clauses: 0
% 0.25/3.41  #    Negative unit clauses             : 0
% 0.25/3.41  #    Non-unit-clauses                  : 151
% 0.25/3.41  # Current number of unprocessed clauses: 3578
% 0.25/3.41  # ...number of literals in the above   : 15337
% 0.25/3.41  # Current number of archived formulas  : 0
% 0.25/3.41  # Current number of archived clauses   : 4872
% 0.25/3.41  # Clause-clause subsumption calls (NU) : 1441306
% 0.25/3.41  # Rec. Clause-clause subsumption calls : 1031662
% 0.25/3.41  # Non-unit clause-clause subsumptions  : 6759
% 0.25/3.41  # Unit Clause-clause subsumption calls : 388502
% 0.25/3.41  # Rewrite failures with RHS unbound    : 0
% 0.25/3.41  # BW rewrite match attempts            : 67893
% 0.25/3.41  # BW rewrite match successes           : 2577
% 0.25/3.41  # Condensation attempts                : 0
% 0.25/3.41  # Condensation successes               : 0
% 0.25/3.41  # Termbank termtop insertions          : 2043563
% 0.25/3.41  
% 0.25/3.41  # -------------------------------------------------
% 0.25/3.41  # User time                : 2.682 s
% 0.25/3.41  # System time              : 0.051 s
% 0.25/3.41  # Total time               : 2.733 s
% 0.25/3.41  # Maximum resident set size: 72644 pages
% 0.25/23.40  eprover: CPU time limit exceeded, terminating
% 0.25/23.40  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.42  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.50  eprover: No such file or directory
% 0.25/23.51  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------