TSTP Solution File: GEO610+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO610+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 03:46:33 EDT 2022

% Result   : Theorem 8.96s 2.52s
% Output   : CNFRefutation 8.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  199 (  50 unt;   0 def)
%            Number of atoms       :  721 (   0 equ)
%            Maximal formula atoms :  224 (   3 avg)
%            Number of connectives :  905 ( 383   ~; 394   |;  89   &)
%                                         (   1 <=>;  38  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   44 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-6 aty)
%            Number of variables   :  854 (  74 sgn 401   !;   2   ?)

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

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

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

fof(exemplo6GDDFULL618072,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19] :
      ( ( circle(X4,X1,X2,X3)
        & circle(X4,X1,X5,X19)
        & perp(X6,X5,X1,X3)
        & coll(X6,X1,X3)
        & perp(X13,X5,X1,X2)
        & coll(X13,X1,X2) )
     => ( eqangle(X6,X5,X5,X13,X3,X5,X5,X2)
        & ( eqangle(X5,X6,X6,X13,X5,X3,X3,X2)
          | eqangle(X6,X5,X5,X13,X3,X5,X5,X2) )
        & ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
          | eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
        & ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
          | eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
        & ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
          | eqangle(X6,X5,X5,X13,X5,X2,X2,X3) )
        & ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
          | eqangle(X6,X5,X5,X13,X5,X2,X2,X3) )
        & eqangle(X5,X6,X6,X13,X5,X3,X3,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618072) ).

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

fof(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(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(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(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(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(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(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(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(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(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(ruleD75,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
        & cong(X9,X10,X11,X12) )
     => cong(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(ruleD65,axiom,
    ! [X1,X2,X3,X4,X8] :
      ( ( para(X1,X2,X3,X4)
        & coll(X8,X1,X3)
        & coll(X8,X2,X4) )
     => eqratio(X8,X1,X1,X3,X8,X2,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD65) ).

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

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

fof(ruleD26,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqratio(X2,X1,X3,X4,X9,X10,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD26) ).

fof(ruleD70,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
      ( ( midp(X7,X1,X2)
        & midp(X17,X3,X4) )
     => eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

fof(ruleD29,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqratio(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD29) ).

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(ruleX6,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
    ? [X9] :
      ( ( midp(X7,X1,X2)
        & midp(X17,X3,X4) )
     => ( midp(X9,X1,X4)
        & para(X9,X7,X2,X4)
        & para(X9,X17,X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

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

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

fof(c_0_36,plain,
    ! [X52,X53,X54,X55,X56,X57] :
      ( ~ perp(X52,X53,X54,X55)
      | ~ perp(X54,X55,X56,X57)
      | para(X52,X53,X56,X57) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_37,plain,
    ! [X494,X495,X496,X497] :
      ( ~ circle(X497,X494,X495,X496)
      | perp(esk12_4(X494,X495,X496,X497),X494,X494,X497) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_38,plain,
    ! [X48,X49,X50,X51] :
      ( ~ perp(X48,X49,X50,X51)
      | perp(X50,X51,X48,X49) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_39,plain,
    ! [X2,X13,X6,X5,X3] :
      ( epred1_5(X3,X5,X6,X13,X2)
    <=> ( eqangle(X6,X5,X5,X13,X3,X5,X5,X2)
        & ( eqangle(X5,X6,X6,X13,X5,X3,X3,X2)
          | eqangle(X6,X5,X5,X13,X3,X5,X5,X2) )
        & ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
          | eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
        & ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
          | eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
        & ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
          | eqangle(X6,X5,X5,X13,X5,X2,X2,X3) )
        & ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
          | eqangle(X6,X5,X5,X13,X5,X2,X2,X3) ) ) ),
    introduced(definition) ).

cnf(c_0_40,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    ( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_43,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19] :
        ( ( circle(X4,X1,X2,X3)
          & circle(X4,X1,X5,X19)
          & perp(X6,X5,X1,X3)
          & coll(X6,X1,X3)
          & perp(X13,X5,X1,X2)
          & coll(X13,X1,X2) )
       => ( epred1_5(X3,X5,X6,X13,X2)
          & eqangle(X5,X6,X6,X13,X5,X3,X3,X2) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL618072]),c_0_39]) ).

cnf(c_0_44,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_42,c_0_41]) ).

fof(c_0_46,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & circle(esk24_0,esk21_0,esk25_0,esk28_0)
    & perp(esk26_0,esk25_0,esk21_0,esk23_0)
    & coll(esk26_0,esk21_0,esk23_0)
    & perp(esk27_0,esk25_0,esk21_0,esk22_0)
    & coll(esk27_0,esk21_0,esk22_0)
    & ( ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0)
      | ~ eqangle(esk25_0,esk26_0,esk26_0,esk27_0,esk25_0,esk23_0,esk23_0,esk22_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])]) ).

fof(c_0_47,plain,
    ! [X384,X385,X386] :
      ( ~ para(X384,X385,X384,X386)
      | coll(X384,X385,X386) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_48,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_50,plain,
    ! [X23,X24,X25] :
      ( ~ coll(X23,X24,X25)
      | coll(X24,X23,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_51,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    para(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_53,plain,
    ! [X20,X21,X22] :
      ( ~ coll(X20,X21,X22)
      | coll(X20,X22,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_54,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk21_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_56,plain,
    ! [X255,X256,X257,X258,X259,X260] :
      ( ~ para(X255,X256,X257,X258)
      | eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_57,plain,
    ! [X26,X27,X28,X29] :
      ( ~ coll(X26,X27,X28)
      | ~ coll(X26,X27,X29)
      | coll(X28,X29,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_58,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_60,plain,
    ! [X101,X102,X103,X104,X105,X106,X107,X108] :
      ( ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108)
      | eqangle(X103,X104,X101,X102,X107,X108,X105,X106) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

cnf(c_0_61,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_62,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

fof(c_0_64,plain,
    ! [X269,X270,X271,X272] :
      ( ~ eqangle(X271,X269,X271,X270,X272,X269,X272,X270)
      | ~ coll(X271,X272,X270)
      | cyclic(X269,X270,X271,X272) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_65,plain,
    ( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    eqangle(esk21_0,esk24_0,X1,X2,esk21_0,esk24_0,X1,X2),
    inference(spm,[status(thm)],[c_0_61,c_0_52]) ).

cnf(c_0_67,negated_conjecture,
    ( coll(X1,esk21_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

fof(c_0_68,plain,
    ! [X84,X85,X86,X87] :
      ( ~ cyclic(X84,X85,X86,X87)
      | cyclic(X85,X84,X86,X87) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_69,plain,
    ( cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ coll(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_70,negated_conjecture,
    eqangle(X1,X2,esk21_0,esk24_0,X1,X2,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_67,c_0_63]) ).

fof(c_0_72,plain,
    ! [X80,X81,X82,X83] :
      ( ~ cyclic(X80,X81,X82,X83)
      | cyclic(X80,X82,X81,X83) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_73,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    cyclic(X1,esk24_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

fof(c_0_75,plain,
    ! [X249,X250,X251,X252,X253,X254] :
      ( ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254)
      | para(X249,X250,X251,X252) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

fof(c_0_76,plain,
    ! [X76,X77,X78,X79] :
      ( ~ cyclic(X76,X77,X78,X79)
      | cyclic(X76,X77,X79,X78) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_77,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    cyclic(esk24_0,X1,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_79,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

fof(c_0_80,plain,
    ! [X88,X89,X90,X91,X92] :
      ( ~ cyclic(X88,X89,X90,X91)
      | ~ cyclic(X88,X89,X90,X92)
      | cyclic(X89,X90,X91,X92) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_81,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_82,negated_conjecture,
    cyclic(esk24_0,esk21_0,X1,esk21_0),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

fof(c_0_83,plain,
    ! [X30,X31,X32,X33] :
      ( ~ para(X30,X31,X32,X33)
      | para(X30,X31,X33,X32) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_84,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_79,c_0_70]) ).

cnf(c_0_85,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_86,negated_conjecture,
    cyclic(esk24_0,esk21_0,esk21_0,X1),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

fof(c_0_87,plain,
    ! [X34,X35,X36,X37] :
      ( ~ para(X34,X35,X36,X37)
      | para(X36,X37,X34,X35) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_88,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_89,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_84]) ).

cnf(c_0_90,negated_conjecture,
    cyclic(esk21_0,esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_86])]) ).

cnf(c_0_91,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_92,negated_conjecture,
    para(esk21_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_88,c_0_52]) ).

cnf(c_0_93,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_54,c_0_89]) ).

fof(c_0_94,plain,
    ! [X273,X274,X275,X276,X277,X278] :
      ( ~ cyclic(X273,X274,X275,X276)
      | ~ cyclic(X273,X274,X275,X277)
      | ~ cyclic(X273,X274,X275,X278)
      | ~ eqangle(X275,X273,X275,X274,X278,X276,X278,X277)
      | cong(X273,X274,X276,X277) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).

cnf(c_0_95,negated_conjecture,
    cyclic(esk21_0,X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_90]),c_0_90])]) ).

cnf(c_0_96,negated_conjecture,
    para(esk24_0,esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

fof(c_0_97,plain,
    ! [X289,X290,X291] :
      ( ~ cong(X291,X289,X291,X290)
      | eqangle(X291,X289,X289,X290,X289,X290,X291,X290) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

fof(c_0_98,plain,
    ! [X284,X285,X286,X287,X288] :
      ( ~ midp(X287,X284,X285)
      | ~ para(X287,X288,X285,X286)
      | ~ coll(X288,X284,X286)
      | midp(X288,X284,X286) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_99,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_58,c_0_93]) ).

fof(c_0_100,plain,
    ! [X387,X388,X389] :
      ( ~ cong(X387,X388,X387,X389)
      | ~ coll(X387,X388,X389)
      | midp(X387,X388,X389) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_101,plain,
    ( cong(X1,X2,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X6)
    | ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_95]),c_0_95])]) ).

cnf(c_0_103,negated_conjecture,
    para(esk24_0,esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_88,c_0_96]) ).

cnf(c_0_104,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_105,plain,
    ( midp(X4,X2,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X1,X4,X3,X5)
    | ~ coll(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_106,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_99]),c_0_99])]) ).

cnf(c_0_107,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_108,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102]),c_0_102]),c_0_102])]) ).

cnf(c_0_109,negated_conjecture,
    eqangle(esk24_0,esk21_0,X1,X2,esk24_0,esk21_0,X1,X2),
    inference(spm,[status(thm)],[c_0_61,c_0_103]) ).

cnf(c_0_110,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_104]) ).

cnf(c_0_111,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).

cnf(c_0_112,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_88,c_0_84]) ).

cnf(c_0_113,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_106])]) ).

cnf(c_0_114,negated_conjecture,
    cong(esk21_0,X1,esk21_0,X1),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

fof(c_0_115,plain,
    ! [X426,X427,X428,X429,X430,X431,X432,X433] :
      ( ~ eqratio(X426,X427,X428,X429,X430,X431,X432,X433)
      | ~ cong(X430,X431,X432,X433)
      | cong(X426,X427,X428,X429) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_116,plain,
    ! [X379,X380,X381,X382,X383] :
      ( ~ para(X379,X380,X381,X382)
      | ~ coll(X383,X379,X381)
      | ~ coll(X383,X380,X382)
      | eqratio(X383,X379,X379,X381,X383,X380,X380,X382) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD65])]) ).

cnf(c_0_117,plain,
    ( para(X1,X1,X2,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_88,c_0_110]) ).

fof(c_0_118,plain,
    ! [X390,X391,X392] :
      ( ~ midp(X390,X391,X392)
      | cong(X390,X391,X390,X392) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_119,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_120,negated_conjecture,
    midp(esk21_0,X1,X1),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_121,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ cong(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_122,plain,
    ( eqratio(X5,X1,X1,X3,X5,X2,X2,X4)
    | ~ para(X1,X2,X3,X4)
    | ~ coll(X5,X1,X3)
    | ~ coll(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_123,plain,
    ( midp(X1,X2,X1)
    | ~ cong(X1,X1,X1,X3)
    | ~ midp(X1,X2,X3)
    | ~ coll(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_117]) ).

cnf(c_0_124,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_125,negated_conjecture,
    midp(X1,X1,esk21_0),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_126,plain,
    ( cong(X1,X2,X2,X3)
    | ~ cong(X1,X4,X4,X5)
    | ~ para(X2,X4,X3,X5)
    | ~ coll(X1,X4,X5)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

fof(c_0_127,plain,
    ! [X374,X375,X376,X377,X378] :
      ( ~ midp(X378,X374,X375)
      | ~ para(X374,X376,X375,X377)
      | ~ para(X374,X377,X375,X376)
      | midp(X378,X376,X377) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_128,plain,
    ( midp(X1,X2,X1)
    | ~ cong(X1,X1,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_93])]) ).

cnf(c_0_129,negated_conjecture,
    cong(X1,X1,X1,esk21_0),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

fof(c_0_130,plain,
    ! [X151,X152,X153,X154,X155,X156,X157,X158] :
      ( ~ eqratio(X151,X152,X153,X154,X155,X156,X157,X158)
      | eqratio(X152,X151,X153,X154,X155,X156,X157,X158) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD26])]) ).

fof(c_0_131,plain,
    ! [X396,X397,X398,X399,X400,X401] :
      ( ~ midp(X400,X396,X397)
      | ~ midp(X401,X398,X399)
      | eqratio(X400,X396,X396,X397,X401,X398,X398,X399) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_132,plain,
    ( cong(X1,X2,X2,X3)
    | ~ cong(X1,X4,X4,X5)
    | ~ para(X2,X4,X3,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_106]),c_0_106])]) ).

cnf(c_0_133,plain,
    ( midp(X1,X4,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X2,X4,X3,X5)
    | ~ para(X2,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_134,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X1,X2,esk21_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_135,plain,
    ( eqratio(X2,X1,X3,X4,X5,X6,X7,X8)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_136,plain,
    ( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_131]) ).

fof(c_0_137,plain,
    ! [X175,X176,X177,X178,X179,X180,X181,X182] :
      ( ~ eqratio(X175,X176,X177,X178,X179,X180,X181,X182)
      | eqratio(X175,X176,X179,X180,X177,X178,X181,X182) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD29])]) ).

cnf(c_0_138,negated_conjecture,
    ( cong(X1,X2,X2,X2)
    | ~ cong(X1,X3,X3,X3) ),
    inference(spm,[status(thm)],[c_0_132,c_0_84]) ).

cnf(c_0_139,plain,
    ( para(X1,X2,X1,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_91,c_0_110]) ).

cnf(c_0_140,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_84]),c_0_84])]) ).

cnf(c_0_141,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_134,c_0_125]) ).

cnf(c_0_142,plain,
    ( eqratio(X1,X2,X1,X3,X4,X5,X5,X6)
    | ~ midp(X4,X5,X6)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_143,plain,
    ( eqratio(X1,X2,X5,X6,X3,X4,X7,X8)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_144,plain,
    ( cong(X1,X2,X2,X3)
    | ~ cong(X4,X5,X5,X6)
    | ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_121,c_0_136]) ).

cnf(c_0_145,negated_conjecture,
    cong(esk21_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_138,c_0_114]) ).

cnf(c_0_146,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X3,X3,X3,X1)
    | ~ midp(X3,X2,X3)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_139]) ).

cnf(c_0_147,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_111,c_0_84]) ).

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

cnf(c_0_149,plain,
    ( cong(X1,X2,X1,X3)
    | ~ cong(X4,X5,X5,X6)
    | ~ midp(X4,X5,X6)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_121,c_0_142]) ).

cnf(c_0_150,plain,
    ( eqratio(X1,X2,X3,X4,X2,X5,X4,X6)
    | ~ midp(X3,X4,X6)
    | ~ midp(X1,X2,X5) ),
    inference(spm,[status(thm)],[c_0_143,c_0_136]) ).

cnf(c_0_151,negated_conjecture,
    ( cong(X1,X2,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_120])]) ).

cnf(c_0_152,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X3,X3,X3,X1)
    | ~ midp(X3,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_106])]) ).

cnf(c_0_153,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_154,negated_conjecture,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_145]),c_0_120])]) ).

cnf(c_0_155,negated_conjecture,
    midp(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_119,c_0_148]) ).

cnf(c_0_156,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X2,X5,X4,X6)
    | ~ midp(X3,X4,X6)
    | ~ midp(X1,X2,X5) ),
    inference(spm,[status(thm)],[c_0_121,c_0_150]) ).

cnf(c_0_157,negated_conjecture,
    cong(X1,X2,X2,X2),
    inference(spm,[status(thm)],[c_0_151,c_0_148]) ).

cnf(c_0_158,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X3,X3,X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153])]) ).

cnf(c_0_159,negated_conjecture,
    cong(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

fof(c_0_160,plain,
    ! [X38,X39,X40,X41,X42,X43] :
      ( ~ para(X38,X39,X40,X41)
      | ~ para(X40,X41,X42,X43)
      | para(X38,X39,X42,X43) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

fof(c_0_161,plain,
    ! [X460,X461,X462,X463,X464,X465] :
      ( ( midp(esk6_6(X460,X461,X462,X463,X464,X465),X460,X463)
        | ~ midp(X464,X460,X461)
        | ~ midp(X465,X462,X463) )
      & ( para(esk6_6(X460,X461,X462,X463,X464,X465),X464,X461,X463)
        | ~ midp(X464,X460,X461)
        | ~ midp(X465,X462,X463) )
      & ( para(esk6_6(X460,X461,X462,X463,X464,X465),X465,X460,X462)
        | ~ midp(X464,X460,X461)
        | ~ midp(X465,X462,X463) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).

fof(c_0_162,plain,
    ! [X67,X68,X69,X70] :
      ( ~ cong(X70,X67,X70,X68)
      | ~ cong(X70,X67,X70,X69)
      | circle(X70,X67,X68,X69) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).

cnf(c_0_163,negated_conjecture,
    ( cong(X1,X2,X3,X4)
    | ~ midp(X1,X2,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_148])]) ).

cnf(c_0_164,plain,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]) ).

cnf(c_0_165,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_166,plain,
    ( para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X1,X3)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_167,plain,
    ( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

fof(c_0_168,plain,
    ! [X305,X306,X307,X308,X309] :
      ( ~ circle(X308,X305,X306,X307)
      | ~ midp(X309,X306,X307)
      | eqangle(X305,X306,X305,X307,X308,X306,X308,X309) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).

cnf(c_0_169,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X3)
    | ~ cong(X1,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_170,negated_conjecture,
    cong(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]) ).

cnf(c_0_171,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X4,X6)
    | ~ midp(X7,X3,X8)
    | ~ para(X1,X2,esk6_6(X3,X8,X4,X6,X7,X5),X5) ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_172,plain,
    ( para(X1,X2,esk6_6(X3,X1,X4,X2,X5,X6),X5)
    | ~ midp(X6,X4,X2)
    | ~ midp(X5,X3,X1) ),
    inference(spm,[status(thm)],[c_0_91,c_0_167]) ).

fof(c_0_173,plain,
    ! [X93,X94,X95,X96,X97,X98,X99,X100] :
      ( ~ eqangle(X93,X94,X95,X96,X97,X98,X99,X100)
      | eqangle(X94,X93,X95,X96,X97,X98,X99,X100) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).

cnf(c_0_174,plain,
    ( eqangle(X2,X3,X2,X4,X1,X3,X1,X5)
    | ~ circle(X1,X2,X3,X4)
    | ~ midp(X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_175,plain,
    circle(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170]),c_0_170])]) ).

fof(c_0_176,plain,
    ! [X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136] :
      ( ~ eqangle(X125,X126,X127,X128,X129,X130,X131,X132)
      | ~ eqangle(X129,X130,X131,X132,X133,X134,X135,X136)
      | eqangle(X125,X126,X127,X128,X133,X134,X135,X136) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_177,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X4,X2)
    | ~ midp(X5,X3,X1) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

fof(c_0_178,plain,
    ! [X109,X110,X111,X112,X113,X114,X115,X116] :
      ( ~ eqangle(X109,X110,X111,X112,X113,X114,X115,X116)
      | eqangle(X113,X114,X115,X116,X109,X110,X111,X112) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_179,plain,
    ( eqangle(X2,X1,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_180,plain,
    eqangle(X1,X2,X1,X3,X4,X2,X4,X5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_164])]),c_0_175])]) ).

fof(c_0_181,plain,
    ! [X2,X13,X6,X5,X3] :
      ( ( eqangle(X6,X5,X5,X13,X3,X5,X5,X2)
        & ( eqangle(X5,X6,X6,X13,X5,X3,X3,X2)
          | eqangle(X6,X5,X5,X13,X3,X5,X5,X2) )
        & ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
          | eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
        & ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
          | eqangle(X6,X5,X5,X13,X5,X3,X3,X2) )
        & ( eqangle(X5,X6,X6,X13,X5,X2,X2,X3)
          | eqangle(X6,X5,X5,X13,X5,X2,X2,X3) )
        & ( eqangle(X5,X6,X6,X13,X3,X5,X5,X2)
          | eqangle(X6,X5,X5,X13,X5,X2,X2,X3) ) )
     => epred1_5(X3,X5,X6,X13,X2) ),
    inference(split_equiv,[status(thm)],[c_0_39]) ).

cnf(c_0_182,plain,
    ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_183,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_164]),c_0_164])]) ).

cnf(c_0_184,plain,
    ( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_185,plain,
    eqangle(X1,X2,X2,X3,X4,X1,X4,X5),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

fof(c_0_186,plain,
    ! [X549,X550,X551,X552,X553] :
      ( ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X552,X551,X551,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X552,X551,X551,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) )
      & ( ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X549,X549,X553)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X552,X553,X553,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | ~ eqangle(X551,X552,X552,X550,X553,X552,X552,X549)
        | epred1_5(X553,X552,X551,X550,X549) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_181])])]) ).

cnf(c_0_187,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X5,X7)
    | ~ eqangle(X1,X2,X3,X4,X8,X6,X8,X9) ),
    inference(spm,[status(thm)],[c_0_182,c_0_180]) ).

cnf(c_0_188,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_183])]) ).

cnf(c_0_189,plain,
    eqangle(X1,X2,X1,X3,X2,X4,X4,X5),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_190,plain,
    ( epred1_5(X5,X2,X1,X3,X4)
    | ~ eqangle(X1,X2,X2,X3,X2,X4,X4,X5)
    | ~ eqangle(X1,X2,X2,X3,X2,X4,X4,X5)
    | ~ eqangle(X1,X2,X2,X3,X2,X5,X5,X4)
    | ~ eqangle(X1,X2,X2,X3,X2,X5,X5,X4)
    | ~ eqangle(X1,X2,X2,X3,X5,X2,X2,X4)
    | ~ eqangle(X1,X2,X2,X3,X5,X2,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_186]) ).

cnf(c_0_191,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X7),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0)
    | ~ eqangle(esk25_0,esk26_0,esk26_0,esk27_0,esk25_0,esk23_0,esk23_0,esk22_0) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_193,plain,
    eqangle(X1,X2,X2,X3,X1,X4,X4,X5),
    inference(spm,[status(thm)],[c_0_179,c_0_189]) ).

cnf(c_0_194,plain,
    ( epred1_5(X5,X2,X1,X3,X4)
    | ~ eqangle(X1,X2,X2,X3,X5,X2,X2,X4)
    | ~ eqangle(X1,X2,X2,X3,X2,X5,X5,X4)
    | ~ eqangle(X1,X2,X2,X3,X2,X4,X4,X5) ),
    inference(cn,[status(thm)],[c_0_190]) ).

cnf(c_0_195,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X6,X7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_189]),c_0_191])]) ).

cnf(c_0_196,negated_conjecture,
    ~ epred1_5(esk23_0,esk25_0,esk26_0,esk27_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193])]) ).

cnf(c_0_197,plain,
    epred1_5(X1,X2,X3,X4,X5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195]),c_0_195]),c_0_195])]) ).

cnf(c_0_198,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO610+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 16:53:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.43  # ENIGMATIC: Selected SinE mode:
% 0.19/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.96/2.52  # ENIGMATIC: Solved by autoschedule:
% 8.96/2.52  # No SInE strategy applied
% 8.96/2.52  # Trying AutoSched0 for 150 seconds
% 8.96/2.52  # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_CS_SP_PS_S0Y
% 8.96/2.52  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.96/2.52  #
% 8.96/2.52  # Preprocessing time       : 0.034 s
% 8.96/2.52  # Presaturation interreduction done
% 8.96/2.52  
% 8.96/2.52  # Proof found!
% 8.96/2.52  # SZS status Theorem
% 8.96/2.52  # SZS output start CNFRefutation
% See solution above
% 8.96/2.52  # Training examples: 0 positive, 0 negative
% 8.96/2.52  
% 8.96/2.52  # -------------------------------------------------
% 8.96/2.52  # User time                : 0.182 s
% 8.96/2.52  # System time              : 0.008 s
% 8.96/2.52  # Total time               : 0.190 s
% 8.96/2.52  # Maximum resident set size: 7124 pages
% 8.96/2.52  
%------------------------------------------------------------------------------