TSTP Solution File: GEO639+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO639+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n006.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 04:06:51 EDT 2022

% Result   : Theorem 0.23s 3.43s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  351 ( 119 unt;   0 def)
%            Number of atoms       :  776 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  717 ( 292   ~; 292   |;  83   &)
%                                         (   0 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   21 (  21 usr;  16 con; 0-5 aty)
%            Number of variables   : 1159 (  76 sgn 502   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109105,conjecture,
    ! [X9,X10,X1,X17,X4,X8,X2,X3,X5,X19,X20,X21,X22,X23,X24,X25] :
      ( ( ( cong(X1,X9,X9,X10)
          | cong(X1,X9,X1,X10) )
        & perp(X9,X1,X9,X17)
        & perp(X10,X1,X10,X17)
        & circle(X17,X9,X19,X20)
        & coll(X4,X1,X17)
        & circle(X17,X9,X4,X21)
        & midp(X8,X4,X1)
        & circle(X8,X4,X22,X23)
        & coll(X2,X9,X1)
        & circle(X8,X4,X2,X24)
        & coll(X3,X10,X1)
        & circle(X8,X4,X3,X25)
        & coll(X5,X9,X10)
        & coll(X5,X1,X17) )
     => eqangle(X1,X2,X2,X5,X5,X2,X2,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL81109105) ).

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(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

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

fof(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(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX10) ).

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

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

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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).

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(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(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

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

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

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

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

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

fof(ruleD13,axiom,
    ! [X1,X2,X3,X4,X8] :
      ( ( cong(X8,X1,X8,X2)
        & cong(X8,X1,X8,X3)
        & cong(X8,X1,X8,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).

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

fof(ruleX9,axiom,
    ! [X1,X2,X3,X4,X8] :
    ? [X9] :
      ( ( cong(X8,X3,X8,X4)
        & perp(X1,X2,X2,X8) )
     => ( cong(X8,X3,X8,X9)
        & para(X9,X3,X1,X2)
        & cong(X2,X3,X2,X9) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX9) ).

fof(c_0_49,negated_conjecture,
    ~ ! [X9,X10,X1,X17,X4,X8,X2,X3,X5,X19,X20,X21,X22,X23,X24,X25] :
        ( ( ( cong(X1,X9,X9,X10)
            | cong(X1,X9,X1,X10) )
          & perp(X9,X1,X9,X17)
          & perp(X10,X1,X10,X17)
          & circle(X17,X9,X19,X20)
          & coll(X4,X1,X17)
          & circle(X17,X9,X4,X21)
          & midp(X8,X4,X1)
          & circle(X8,X4,X22,X23)
          & coll(X2,X9,X1)
          & circle(X8,X4,X2,X24)
          & coll(X3,X10,X1)
          & circle(X8,X4,X3,X25)
          & coll(X5,X9,X10)
          & coll(X5,X1,X17) )
       => eqangle(X1,X2,X2,X5,X5,X2,X2,X3) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109105]) ).

fof(c_0_50,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_51,negated_conjecture,
    ( ( cong(esk3_0,esk1_0,esk1_0,esk2_0)
      | cong(esk3_0,esk1_0,esk3_0,esk2_0) )
    & perp(esk1_0,esk3_0,esk1_0,esk4_0)
    & perp(esk2_0,esk3_0,esk2_0,esk4_0)
    & circle(esk4_0,esk1_0,esk10_0,esk11_0)
    & coll(esk5_0,esk3_0,esk4_0)
    & circle(esk4_0,esk1_0,esk5_0,esk12_0)
    & midp(esk6_0,esk5_0,esk3_0)
    & circle(esk6_0,esk5_0,esk13_0,esk14_0)
    & coll(esk7_0,esk1_0,esk3_0)
    & circle(esk6_0,esk5_0,esk7_0,esk15_0)
    & coll(esk8_0,esk2_0,esk3_0)
    & circle(esk6_0,esk5_0,esk8_0,esk16_0)
    & coll(esk9_0,esk1_0,esk2_0)
    & coll(esk9_0,esk3_0,esk4_0)
    & ~ eqangle(esk3_0,esk7_0,esk7_0,esk9_0,esk9_0,esk7_0,esk7_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).

fof(c_0_52,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_53,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    midp(esk6_0,esk5_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

fof(c_0_55,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_56,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    midp(esk6_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

fof(c_0_58,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_59,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    cong(esk6_0,esk3_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_61,negated_conjecture,
    cong(esk6_0,esk5_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_56,c_0_54]) ).

fof(c_0_62,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_63,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_64,negated_conjecture,
    cong(esk6_0,esk3_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    cong(esk6_0,esk5_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_59,c_0_61]) ).

fof(c_0_66,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ midp(X11,X7,X9)
      | para(X10,X11,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

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

cnf(c_0_68,negated_conjecture,
    cong(esk5_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    cong(esk3_0,esk6_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_63,c_0_65]) ).

fof(c_0_70,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

cnf(c_0_71,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_72,negated_conjecture,
    ( cong(X1,X2,esk6_0,esk3_0)
    | ~ cong(X1,X2,esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    cong(esk3_0,esk6_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_59,c_0_69]) ).

cnf(c_0_74,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    ( para(X1,esk6_0,X2,esk3_0)
    | ~ midp(X1,esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_54]) ).

fof(c_0_76,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_77,negated_conjecture,
    cong(esk3_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

fof(c_0_78,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_79,negated_conjecture,
    ( eqangle(X1,esk6_0,X2,X3,X4,esk3_0,X2,X3)
    | ~ midp(X1,esk5_0,X4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_80,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_81,negated_conjecture,
    cong(esk3_0,esk6_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_59,c_0_77]) ).

fof(c_0_82,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_83,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_78]) ).

cnf(c_0_84,negated_conjecture,
    eqangle(esk6_0,esk6_0,X1,X2,esk3_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_79,c_0_54]) ).

fof(c_0_85,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_86,negated_conjecture,
    ( perp(esk3_0,esk3_0,X1,esk6_0)
    | ~ cong(esk3_0,X1,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_87,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk6_0)
    | ~ cong(X1,X2,esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_65]) ).

fof(c_0_88,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_89,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk26_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_90,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_91,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_82]) ).

cnf(c_0_92,negated_conjecture,
    eqangle(X1,X2,esk6_0,esk6_0,X1,X2,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_93,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_94,negated_conjecture,
    perp(esk3_0,esk3_0,esk6_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_69])]) ).

cnf(c_0_95,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_96,plain,
    ( perp(esk26_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

fof(c_0_97,plain,
    ! [X15,X16,X17,X18] :
      ( ( coll(esk21_3(X15,X16,X17),X17,X16)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( perp(X15,esk21_3(X15,X16,X17),X17,X16)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( coll(esk22_3(X15,X16,X17),X17,X15)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( perp(X16,esk22_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])])])])])]) ).

cnf(c_0_98,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_90]) ).

cnf(c_0_99,negated_conjecture,
    eqangle(X1,X2,X1,X2,esk6_0,esk6_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_100,negated_conjecture,
    perp(esk6_0,esk6_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_101,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk26_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_102,plain,
    ( perp(X1,X2,esk26_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_93,c_0_96]) ).

cnf(c_0_103,plain,
    ( perp(X1,esk22_3(X3,X1,X4),X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_104,negated_conjecture,
    perp(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).

cnf(c_0_105,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_106,negated_conjecture,
    circle(esk6_0,esk5_0,esk13_0,esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_107,negated_conjecture,
    perp(esk2_0,esk3_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

fof(c_0_108,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_109,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_110,negated_conjecture,
    perp(X1,esk22_3(X1,X1,X2),X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_104])]) ).

cnf(c_0_111,negated_conjecture,
    para(esk5_0,esk6_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

fof(c_0_112,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_113,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_114,negated_conjecture,
    perp(esk2_0,esk4_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_93,c_0_107]) ).

cnf(c_0_115,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_116,negated_conjecture,
    ( para(X1,X2,esk2_0,esk4_0)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_107]) ).

cnf(c_0_117,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_118,negated_conjecture,
    perp(X1,X2,X2,esk22_3(X2,X2,X1)),
    inference(spm,[status(thm)],[c_0_93,c_0_110]) ).

fof(c_0_119,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_120,negated_conjecture,
    eqangle(esk5_0,esk6_0,X1,X2,esk5_0,esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_74,c_0_111]) ).

cnf(c_0_121,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_122,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_123,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_114]) ).

cnf(c_0_124,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk2_0,esk4_0,X3,X4)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_125,negated_conjecture,
    perp(X1,X2,esk22_3(X2,X2,X1),X2),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

fof(c_0_126,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_127,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_128,negated_conjecture,
    eqangle(X1,X2,esk5_0,esk6_0,X1,X2,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_83,c_0_120]) ).

cnf(c_0_129,negated_conjecture,
    ( para(X1,X2,esk2_0,esk4_0)
    | ~ perp(X3,X4,esk2_0,esk3_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_121,c_0_116]) ).

cnf(c_0_130,negated_conjecture,
    ( para(esk2_0,esk3_0,X1,X2)
    | ~ perp(X1,X2,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_131,negated_conjecture,
    ( perp(X1,X2,esk2_0,esk4_0)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_104]) ).

cnf(c_0_132,plain,
    ( perp(X3,esk21_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_133,negated_conjecture,
    perp(esk22_3(X1,X1,X2),X1,X2,X1),
    inference(spm,[status(thm)],[c_0_93,c_0_125]) ).

fof(c_0_134,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_135,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_126]) ).

cnf(c_0_136,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_137,negated_conjecture,
    ( para(esk2_0,esk3_0,esk2_0,esk4_0)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).

cnf(c_0_138,negated_conjecture,
    perp(esk22_3(X1,X1,X2),esk21_3(esk22_3(X1,X1,X2),X2,X1),X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_125])]) ).

fof(c_0_139,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_140,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_141,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

fof(c_0_142,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_143,negated_conjecture,
    para(esk2_0,esk3_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

fof(c_0_144,plain,
    ! [X9,X10,X11,X12] :
      ( ~ perp(X9,X11,X11,X10)
      | ~ cyclic(X9,X10,X11,X12)
      | circle(esk30_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_145,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_146,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_147,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_148,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_149,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_150,negated_conjecture,
    para(esk2_0,esk4_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_122,c_0_143]) ).

cnf(c_0_151,plain,
    ( circle(esk30_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ perp(X1,X3,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_152,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_145]) ).

cnf(c_0_153,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_154,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

fof(c_0_155,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ midp(X12,X10,X11)
      | para(X8,X10,X9,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).

cnf(c_0_156,negated_conjecture,
    para(esk2_0,esk4_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

fof(c_0_157,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_158,plain,
    ( circle(esk30_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_151,c_0_152]) ).

cnf(c_0_159,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_154])]) ).

cnf(c_0_160,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
    inference(spm,[status(thm)],[c_0_74,c_0_136]) ).

cnf(c_0_161,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_162,negated_conjecture,
    eqangle(esk2_0,esk4_0,X1,X2,esk3_0,esk2_0,X1,X2),
    inference(spm,[status(thm)],[c_0_74,c_0_156]) ).

cnf(c_0_163,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_164,plain,
    ( circle(esk30_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_158,c_0_159])]) ).

cnf(c_0_165,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_91,c_0_160]) ).

cnf(c_0_166,negated_conjecture,
    perp(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_117,c_0_104]) ).

cnf(c_0_167,negated_conjecture,
    ( para(X1,esk5_0,X2,esk3_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_161,c_0_54]) ).

cnf(c_0_168,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk4_0,X1,X2,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_83,c_0_162]) ).

cnf(c_0_169,plain,
    ( perp(X1,X2,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_159])]) ).

cnf(c_0_170,negated_conjecture,
    circle(esk30_3(X1,X1,X2),X1,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166])]) ).

cnf(c_0_171,negated_conjecture,
    para(esk3_0,esk2_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_122,c_0_156]) ).

cnf(c_0_172,negated_conjecture,
    ( eqangle(X1,esk5_0,X2,X3,X4,esk3_0,X2,X3)
    | ~ midp(esk6_0,X1,X4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_167]) ).

fof(c_0_173,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_174,negated_conjecture,
    eqangle(esk2_0,esk3_0,X1,X2,esk2_0,esk4_0,X1,X2),
    inference(spm,[status(thm)],[c_0_74,c_0_143]) ).

cnf(c_0_175,negated_conjecture,
    ( perp(X1,X2,esk2_0,esk4_0)
    | ~ perp(X1,X2,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_168]) ).

cnf(c_0_176,negated_conjecture,
    perp(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_177,negated_conjecture,
    eqangle(esk3_0,esk2_0,X1,X2,esk2_0,esk4_0,X1,X2),
    inference(spm,[status(thm)],[c_0_74,c_0_171]) ).

fof(c_0_178,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_179,negated_conjecture,
    eqangle(esk5_0,esk5_0,X1,X2,esk3_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_172,c_0_54]) ).

cnf(c_0_180,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_173]) ).

cnf(c_0_181,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk3_0,X1,X2,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_83,c_0_174]) ).

cnf(c_0_182,negated_conjecture,
    ( perp(X1,esk5_0,X2,X3)
    | ~ midp(esk6_0,X1,X4)
    | ~ perp(X4,esk3_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_115,c_0_167]) ).

cnf(c_0_183,negated_conjecture,
    perp(esk3_0,esk3_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

fof(c_0_184,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_185,negated_conjecture,
    eqangle(X1,X2,esk3_0,esk2_0,X1,X2,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_83,c_0_177]) ).

cnf(c_0_186,negated_conjecture,
    para(esk6_0,esk6_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_127,c_0_84]) ).

fof(c_0_187,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_188,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

fof(c_0_189,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_190,negated_conjecture,
    para(esk5_0,esk5_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_127,c_0_179]) ).

cnf(c_0_191,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk3_0,X2,X1,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_192,negated_conjecture,
    ( perp(X1,esk5_0,esk2_0,esk4_0)
    | ~ midp(esk6_0,X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

fof(c_0_193,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_194,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_184]) ).

cnf(c_0_195,negated_conjecture,
    eqangle(X1,X2,esk3_0,esk2_0,X2,X1,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_180,c_0_185]) ).

cnf(c_0_196,negated_conjecture,
    ( para(esk6_0,esk6_0,esk2_0,esk4_0)
    | ~ perp(esk3_0,esk3_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_129,c_0_186]) ).

cnf(c_0_197,negated_conjecture,
    perp(X1,X1,X2,X1),
    inference(spm,[status(thm)],[c_0_117,c_0_176]) ).

cnf(c_0_198,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_187]) ).

cnf(c_0_199,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_188,c_0_152]) ).

cnf(c_0_200,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_189]) ).

cnf(c_0_201,negated_conjecture,
    para(esk3_0,esk3_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_122,c_0_190]) ).

cnf(c_0_202,negated_conjecture,
    ( perp(X1,X2,esk2_0,esk3_0)
    | ~ perp(X2,X1,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_191]) ).

cnf(c_0_203,negated_conjecture,
    perp(esk5_0,esk5_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_192,c_0_54]) ).

cnf(c_0_204,negated_conjecture,
    ( para(X1,esk6_0,X2,esk5_0)
    | ~ midp(X1,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_57]) ).

cnf(c_0_205,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_193]) ).

cnf(c_0_206,negated_conjecture,
    ( para(X1,X2,esk3_0,esk2_0)
    | ~ para(X2,X1,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_207,negated_conjecture,
    para(esk6_0,esk6_0,esk2_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]) ).

fof(c_0_208,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_209,negated_conjecture,
    ( cong(esk2_0,esk3_0,esk2_0,esk4_0)
    | ~ cyclic(esk2_0,esk3_0,esk2_0,esk2_0)
    | ~ cyclic(esk2_0,esk3_0,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_191]) ).

cnf(c_0_210,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_199,c_0_159])]) ).

cnf(c_0_211,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ coll(X3,X2,X4) ),
    inference(spm,[status(thm)],[c_0_200,c_0_152]) ).

cnf(c_0_212,negated_conjecture,
    ( para(esk3_0,esk3_0,esk2_0,esk4_0)
    | ~ perp(esk5_0,esk5_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_129,c_0_201]) ).

cnf(c_0_213,negated_conjecture,
    perp(esk5_0,esk5_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_214,negated_conjecture,
    ( eqangle(X1,esk6_0,X2,X3,X4,esk5_0,X2,X3)
    | ~ midp(X1,esk3_0,X4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_204]) ).

cnf(c_0_215,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_159])]) ).

cnf(c_0_216,negated_conjecture,
    para(esk6_0,esk6_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_206,c_0_207]) ).

cnf(c_0_217,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_208]) ).

cnf(c_0_218,negated_conjecture,
    ( cong(esk2_0,esk3_0,esk2_0,esk4_0)
    | ~ cyclic(esk2_0,esk3_0,esk2_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_165])]) ).

cnf(c_0_219,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
    | ~ para(X1,X4,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_159])]) ).

cnf(c_0_220,negated_conjecture,
    para(esk3_0,esk3_0,esk2_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]) ).

cnf(c_0_221,negated_conjecture,
    eqangle(esk6_0,esk6_0,X1,X2,esk5_0,esk5_0,X1,X2),
    inference(spm,[status(thm)],[c_0_214,c_0_57]) ).

cnf(c_0_222,negated_conjecture,
    ( midp(esk6_0,X1,esk2_0)
    | ~ midp(esk6_0,X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_223,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_98,c_0_217]) ).

cnf(c_0_224,negated_conjecture,
    cong(esk2_0,esk3_0,esk2_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_210]),c_0_165])]) ).

cnf(c_0_225,negated_conjecture,
    eqangle(esk3_0,esk4_0,esk2_0,esk4_0,esk2_0,esk4_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_165])]) ).

cnf(c_0_226,negated_conjecture,
    para(esk2_0,esk3_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_149,c_0_143]) ).

fof(c_0_227,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_228,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_127,c_0_217]) ).

cnf(c_0_229,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X3,X4,esk2_0,esk4_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_121,c_0_123]) ).

cnf(c_0_230,negated_conjecture,
    para(esk6_0,esk6_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_127,c_0_221]) ).

cnf(c_0_231,negated_conjecture,
    midp(esk6_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_222,c_0_54]) ).

cnf(c_0_232,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_149,c_0_136]) ).

cnf(c_0_233,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk3_0,esk4_0)
    | ~ perp(esk3_0,esk4_0,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_234,negated_conjecture,
    perp(esk3_0,esk4_0,esk2_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_225]),c_0_114])]) ).

cnf(c_0_235,negated_conjecture,
    para(esk4_0,esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_122,c_0_226]) ).

cnf(c_0_236,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_227]) ).

cnf(c_0_237,plain,
    ( para(X1,X2,X1,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_122,c_0_228]) ).

cnf(c_0_238,negated_conjecture,
    para(esk6_0,esk6_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_203])]) ).

fof(c_0_239,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_240,negated_conjecture,
    ( cong(X1,X2,esk6_0,esk3_0)
    | ~ cong(X1,X2,esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_61]) ).

cnf(c_0_241,negated_conjecture,
    midp(esk6_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_53,c_0_231]) ).

fof(c_0_242,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_243,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_115,c_0_232]) ).

cnf(c_0_244,negated_conjecture,
    perp(esk2_0,esk3_0,esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234])]) ).

cnf(c_0_245,negated_conjecture,
    para(esk4_0,esk2_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_149,c_0_235]) ).

cnf(c_0_246,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X3,X3,X3,X2)
    | ~ midp(X1,X3,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_228]),c_0_237]) ).

cnf(c_0_247,negated_conjecture,
    ( midp(esk6_0,X1,esk3_0)
    | ~ midp(esk6_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_215,c_0_238]) ).

cnf(c_0_248,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_239]) ).

cnf(c_0_249,negated_conjecture,
    ( cong(esk6_0,esk3_0,X1,X2)
    | ~ cong(X1,X2,esk6_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_63,c_0_240]) ).

cnf(c_0_250,negated_conjecture,
    cong(esk6_0,esk2_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_56,c_0_241]) ).

cnf(c_0_251,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_242]) ).

cnf(c_0_252,negated_conjecture,
    perp(esk3_0,esk2_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_253,negated_conjecture,
    eqangle(esk2_0,esk4_0,X1,X2,esk2_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_74,c_0_150]) ).

fof(c_0_254,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_255,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_136]),c_0_136])]) ).

cnf(c_0_256,negated_conjecture,
    ( midp(X1,esk2_0,esk2_0)
    | ~ midp(X1,esk4_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_245]),c_0_245])]) ).

cnf(c_0_257,negated_conjecture,
    ( midp(esk6_0,X1,esk3_0)
    | ~ cong(esk3_0,esk3_0,esk3_0,X1)
    | ~ midp(esk6_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_258,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_159])]) ).

cnf(c_0_259,negated_conjecture,
    cong(esk6_0,esk3_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

cnf(c_0_260,negated_conjecture,
    ( cong(esk3_0,esk3_0,esk3_0,esk4_0)
    | ~ midp(esk2_0,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

fof(c_0_261,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ coll(X13,X10,X11)
      | ~ eqangle(X9,X10,X9,X11,X12,X10,X12,X13)
      | midp(X13,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).

cnf(c_0_262,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk4_0,X1,X2,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_83,c_0_253]) ).

cnf(c_0_263,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_254]) ).

cnf(c_0_264,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_265,negated_conjecture,
    ( midp(esk6_0,X1,esk3_0)
    | ~ cong(esk3_0,esk3_0,esk3_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_259])]) ).

cnf(c_0_266,negated_conjecture,
    cong(esk3_0,esk3_0,esk3_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_258]),c_0_224])]) ).

cnf(c_0_267,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_261]) ).

cnf(c_0_268,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk4_0,X2,X1,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_180,c_0_262]) ).

cnf(c_0_269,negated_conjecture,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_263,c_0_166]) ).

cnf(c_0_270,negated_conjecture,
    midp(esk6_0,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266])]) ).

cnf(c_0_271,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_267,c_0_159])]) ).

cnf(c_0_272,negated_conjecture,
    eqangle(X1,X2,X2,X1,esk2_0,esk4_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_91,c_0_268]) ).

fof(c_0_273,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])]) ).

fof(c_0_274,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ cong(X13,X9,X13,X10)
      | ~ cong(X13,X9,X13,X11)
      | ~ cong(X13,X9,X13,X12)
      | cyclic(X9,X10,X11,X12) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD13])])])]) ).

cnf(c_0_275,negated_conjecture,
    cong(X1,esk6_0,X2,esk6_0),
    inference(spm,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_276,negated_conjecture,
    ( midp(esk3_0,esk4_0,esk4_0)
    | ~ circle(esk2_0,esk4_0,esk4_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_271,c_0_272]) ).

cnf(c_0_277,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_273]) ).

fof(c_0_278,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_279,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cong(X5,X1,X5,X4)
    | ~ cong(X5,X1,X5,X3)
    | ~ cong(X5,X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_274]) ).

cnf(c_0_280,negated_conjecture,
    cong(X1,esk6_0,esk6_0,X2),
    inference(spm,[status(thm)],[c_0_59,c_0_275]) ).

cnf(c_0_281,negated_conjecture,
    ( midp(X1,esk4_0,X2)
    | ~ midp(X1,X3,esk2_0)
    | ~ perp(X3,X2,esk2_0,esk3_0)
    | ~ para(X3,esk4_0,esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_236,c_0_116]) ).

cnf(c_0_282,negated_conjecture,
    ( midp(esk3_0,esk4_0,esk4_0)
    | ~ cong(esk2_0,esk4_0,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_283,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_278]) ).

cnf(c_0_284,negated_conjecture,
    cyclic(esk6_0,X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_280]),c_0_280])]) ).

cnf(c_0_285,negated_conjecture,
    ( para(X1,esk3_0,X2,esk5_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_161,c_0_57]) ).

cnf(c_0_286,negated_conjecture,
    ( midp(X1,esk4_0,esk3_0)
    | ~ midp(X1,esk2_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_150]),c_0_104])]) ).

cnf(c_0_287,negated_conjecture,
    ( midp(esk3_0,X1,X1)
    | ~ cong(esk2_0,esk4_0,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_255,c_0_282]) ).

cnf(c_0_288,negated_conjecture,
    ( cong(X1,X2,X1,X2)
    | ~ cyclic(X1,X2,X3,X3)
    | ~ cyclic(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_198,c_0_160]) ).

cnf(c_0_289,negated_conjecture,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_284])]) ).

cnf(c_0_290,negated_conjecture,
    ( midp(X1,esk5_0,esk3_0)
    | ~ midp(esk6_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_285]),c_0_167]) ).

cnf(c_0_291,negated_conjecture,
    ( midp(X1,esk3_0,esk4_0)
    | ~ midp(X1,esk2_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_150]),c_0_143])]) ).

cnf(c_0_292,negated_conjecture,
    ( midp(esk3_0,esk4_0,esk3_0)
    | ~ cong(esk2_0,esk4_0,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_286,c_0_287]) ).

cnf(c_0_293,negated_conjecture,
    cong(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_289]),c_0_289]),c_0_289])]) ).

cnf(c_0_294,negated_conjecture,
    ( para(X1,esk3_0,X2,esk5_0)
    | ~ midp(esk6_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_167]) ).

cnf(c_0_295,negated_conjecture,
    ( para(X1,esk5_0,X2,esk3_0)
    | ~ midp(esk6_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_285]) ).

cnf(c_0_296,negated_conjecture,
    ( midp(X1,esk5_0,esk3_0)
    | ~ midp(esk6_0,esk2_0,esk2_0)
    | ~ midp(X1,esk3_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_290,c_0_291]) ).

cnf(c_0_297,negated_conjecture,
    midp(esk3_0,esk4_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_293])]) ).

cnf(c_0_298,negated_conjecture,
    ( midp(X1,esk5_0,esk3_0)
    | ~ midp(esk6_0,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_294]),c_0_295]) ).

cnf(c_0_299,negated_conjecture,
    ( midp(X1,esk5_0,esk3_0)
    | ~ midp(X1,esk3_0,esk4_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_270])]) ).

cnf(c_0_300,negated_conjecture,
    midp(esk3_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_53,c_0_297]) ).

cnf(c_0_301,plain,
    ( para(X1,X1,X2,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_149,c_0_228]) ).

cnf(c_0_302,negated_conjecture,
    ( midp(X1,esk5_0,esk3_0)
    | ~ midp(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_298,c_0_270]) ).

cnf(c_0_303,negated_conjecture,
    ( cong(X1,X1,X1,X2)
    | ~ midp(X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_251,c_0_104]) ).

cnf(c_0_304,negated_conjecture,
    midp(esk3_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

cnf(c_0_305,plain,
    ( midp(X1,X2,X2)
    | ~ cong(X2,X2,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_301]),c_0_301]) ).

cnf(c_0_306,negated_conjecture,
    midp(X1,esk5_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_258]),c_0_293])]) ).

cnf(c_0_307,negated_conjecture,
    cong(esk5_0,esk5_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_308,negated_conjecture,
    eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
    inference(spm,[status(thm)],[c_0_74,c_0_232]) ).

fof(c_0_309,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_310,negated_conjecture,
    midp(X1,esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307])]) ).

cnf(c_0_311,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
    inference(spm,[status(thm)],[c_0_83,c_0_308]) ).

cnf(c_0_312,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_309]) ).

cnf(c_0_313,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_255,c_0_310]) ).

fof(c_0_314,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])]) ).

cnf(c_0_315,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
    inference(spm,[status(thm)],[c_0_91,c_0_311]) ).

cnf(c_0_316,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_312,c_0_152]) ).

cnf(c_0_317,negated_conjecture,
    cong(X1,X2,X3,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_313])]) ).

fof(c_0_318,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_319,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_314]) ).

cnf(c_0_320,negated_conjecture,
    ( cong(X1,X1,X2,X2)
    | ~ cyclic(X1,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_198,c_0_315]) ).

cnf(c_0_321,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_316,c_0_159])]) ).

cnf(c_0_322,negated_conjecture,
    cong(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_59,c_0_317]) ).

cnf(c_0_323,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_318]) ).

cnf(c_0_324,plain,
    eqangle(X1,X2,X1,X3,X4,X2,X4,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_319,c_0_289])]) ).

cnf(c_0_325,negated_conjecture,
    cong(X1,X1,X2,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_321]),c_0_165])]) ).

cnf(c_0_326,negated_conjecture,
    cong(X1,X2,X3,X1),
    inference(spm,[status(thm)],[c_0_63,c_0_322]) ).

fof(c_0_327,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ( cong(X14,X12,X14,esk35_5(X10,X11,X12,X13,X14))
        | ~ cong(X14,X12,X14,X13)
        | ~ perp(X10,X11,X11,X14) )
      & ( para(esk35_5(X10,X11,X12,X13,X14),X12,X10,X11)
        | ~ cong(X14,X12,X14,X13)
        | ~ perp(X10,X11,X11,X14) )
      & ( cong(X11,X12,X11,esk35_5(X10,X11,X12,X13,X14))
        | ~ cong(X14,X12,X14,X13)
        | ~ perp(X10,X11,X11,X14) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX9])])])])]) ).

cnf(c_0_328,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_323,c_0_217]) ).

cnf(c_0_329,plain,
    eqangle(X1,X2,X3,X2,X1,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_91,c_0_324]) ).

cnf(c_0_330,negated_conjecture,
    ( cong(X1,X2,X3,X3)
    | ~ cong(X1,X2,X4,X4) ),
    inference(spm,[status(thm)],[c_0_67,c_0_325]) ).

cnf(c_0_331,negated_conjecture,
    cong(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_59,c_0_326]) ).

cnf(c_0_332,plain,
    ( para(esk35_5(X1,X2,X4,X5,X3),X4,X1,X2)
    | ~ perp(X1,X2,X2,X3)
    | ~ cong(X3,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_327]) ).

cnf(c_0_333,plain,
    eqangle(X1,X2,X3,X2,X3,X3,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_329]),c_0_293])]) ).

cnf(c_0_334,negated_conjecture,
    perp(X1,X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_293]),c_0_293])]) ).

cnf(c_0_335,negated_conjecture,
    cong(X1,X2,X3,X3),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_336,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_317]),c_0_317])]) ).

cnf(c_0_337,plain,
    ( eqangle(esk35_5(X1,X2,X3,X4,X5),X3,X6,X7,X1,X2,X6,X7)
    | ~ cong(X5,X3,X5,X4)
    | ~ perp(X1,X2,X2,X5) ),
    inference(spm,[status(thm)],[c_0_74,c_0_332]) ).

cnf(c_0_338,plain,
    perp(X1,X2,X3,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_333]),c_0_334])]) ).

cnf(c_0_339,negated_conjecture,
    cong(X1,X1,X2,X3),
    inference(spm,[status(thm)],[c_0_63,c_0_335]) ).

cnf(c_0_340,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_336]),c_0_336])]) ).

cnf(c_0_341,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,esk35_5(X5,X6,X9,X10,X11),X9,X7,X8)
    | ~ cong(X11,X9,X11,X10)
    | ~ perp(X5,X6,X6,X11) ),
    inference(spm,[status(thm)],[c_0_323,c_0_337]) ).

cnf(c_0_342,plain,
    perp(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_117,c_0_338]) ).

cnf(c_0_343,negated_conjecture,
    cong(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_339]),c_0_335])]) ).

cnf(c_0_344,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X8,X7,X8) ),
    inference(spm,[status(thm)],[c_0_323,c_0_329]) ).

cnf(c_0_345,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_340])]) ).

cnf(c_0_346,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,esk35_5(X5,X6,X9,X10,X11),X9,X7,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_342])]),c_0_343])]) ).

cnf(c_0_347,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X6),
    inference(spm,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_348,negated_conjecture,
    ~ eqangle(esk3_0,esk7_0,esk7_0,esk9_0,esk9_0,esk7_0,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_349,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X7),
    inference(spm,[status(thm)],[c_0_346,c_0_347]) ).

cnf(c_0_350,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_348,c_0_349])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO639+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 09:47:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/3.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/3.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/3.43  # Preprocessing time       : 0.025 s
% 0.23/3.43  
% 0.23/3.43  # Proof found!
% 0.23/3.43  # SZS status Theorem
% 0.23/3.43  # SZS output start CNFRefutation
% See solution above
% 0.23/3.43  # Proof object total steps             : 351
% 0.23/3.43  # Proof object clause steps            : 252
% 0.23/3.43  # Proof object formula steps           : 99
% 0.23/3.43  # Proof object conjectures             : 170
% 0.23/3.43  # Proof object clause conjectures      : 167
% 0.23/3.43  # Proof object formula conjectures     : 3
% 0.23/3.43  # Proof object initial clauses used    : 53
% 0.23/3.43  # Proof object initial formulas used   : 49
% 0.23/3.43  # Proof object generating inferences   : 178
% 0.23/3.43  # Proof object simplifying inferences  : 108
% 0.23/3.43  # Training examples: 0 positive, 0 negative
% 0.23/3.43  # Parsed axioms                        : 95
% 0.23/3.43  # Removed by relevancy pruning/SinE    : 21
% 0.23/3.43  # Initial clauses                      : 107
% 0.23/3.43  # Removed in clause preprocessing      : 0
% 0.23/3.43  # Initial clauses in saturation        : 107
% 0.23/3.43  # Processed clauses                    : 13082
% 0.23/3.43  # ...of these trivial                  : 4164
% 0.23/3.43  # ...subsumed                          : 1736
% 0.23/3.43  # ...remaining for further processing  : 7182
% 0.23/3.43  # Other redundant clauses eliminated   : 0
% 0.23/3.43  # Clauses deleted for lack of memory   : 0
% 0.23/3.43  # Backward-subsumed                    : 341
% 0.23/3.43  # Backward-rewritten                   : 5721
% 0.23/3.43  # Generated clauses                    : 151212
% 0.23/3.43  # ...of the previous two non-trivial   : 108672
% 0.23/3.43  # Contextual simplify-reflections      : 182
% 0.23/3.43  # Paramodulations                      : 151212
% 0.23/3.43  # Factorizations                       : 0
% 0.23/3.43  # Equation resolutions                 : 0
% 0.23/3.43  # Current number of processed clauses  : 1120
% 0.23/3.43  #    Positive orientable unit clauses  : 798
% 0.23/3.43  #    Positive unorientable unit clauses: 0
% 0.23/3.43  #    Negative unit clauses             : 0
% 0.23/3.43  #    Non-unit-clauses                  : 322
% 0.23/3.43  # Current number of unprocessed clauses: 15904
% 0.23/3.43  # ...number of literals in the above   : 20665
% 0.23/3.43  # Current number of archived formulas  : 0
% 0.23/3.43  # Current number of archived clauses   : 6062
% 0.23/3.43  # Clause-clause subsumption calls (NU) : 539736
% 0.23/3.43  # Rec. Clause-clause subsumption calls : 347918
% 0.23/3.43  # Non-unit clause-clause subsumptions  : 1980
% 0.23/3.43  # Unit Clause-clause subsumption calls : 440384
% 0.23/3.43  # Rewrite failures with RHS unbound    : 0
% 0.23/3.43  # BW rewrite match attempts            : 305892
% 0.23/3.43  # BW rewrite match successes           : 4535
% 0.23/3.43  # Condensation attempts                : 0
% 0.23/3.43  # Condensation successes               : 0
% 0.23/3.43  # Termbank termtop insertions          : 1810402
% 0.23/3.43  
% 0.23/3.43  # -------------------------------------------------
% 0.23/3.43  # User time                : 2.879 s
% 0.23/3.43  # System time              : 0.025 s
% 0.23/3.43  # Total time               : 2.904 s
% 0.23/3.43  # Maximum resident set size: 44700 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------