TSTP Solution File: GEO607+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO607+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 03:46:32 EDT 2022

% Result   : Theorem 9.61s 2.64s
% Output   : CNFRefutation 9.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  295 ( 101 unt;   0 def)
%            Number of atoms       :  602 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  537 ( 230   ~; 227   |;  38   &)
%                                         (   0 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-6 aty)
%            Number of variables   :  799 (  51 sgn 384   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618069,conjecture,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( midp(X3,X2,X1)
        & perp(X4,X1,X4,X2)
        & circle(X5,X1,X3,X4)
        & circle(X6,X2,X4,X3) )
     => perp(X5,X4,X4,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).

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(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(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(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

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

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

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

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

fof(c_0_41,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6] :
        ( ( midp(X3,X2,X1)
          & perp(X4,X1,X4,X2)
          & circle(X5,X1,X3,X4)
          & circle(X6,X2,X4,X3) )
       => perp(X5,X4,X4,X6) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL618069]) ).

fof(c_0_42,plain,
    ! [X47,X48,X49,X50] :
      ( ~ perp(X47,X48,X49,X50)
      | perp(X49,X50,X47,X48) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_43,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk21_0)
    & perp(esk24_0,esk21_0,esk24_0,esk22_0)
    & circle(esk25_0,esk21_0,esk23_0,esk24_0)
    & circle(esk26_0,esk22_0,esk24_0,esk23_0)
    & ~ perp(esk25_0,esk24_0,esk24_0,esk26_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).

fof(c_0_44,plain,
    ! [X43,X44,X45,X46] :
      ( ~ perp(X43,X44,X45,X46)
      | perp(X43,X44,X46,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

fof(c_0_45,plain,
    ! [X51,X52,X53,X54,X55,X56] :
      ( ~ perp(X51,X52,X53,X54)
      | ~ perp(X53,X54,X55,X56)
      | para(X51,X52,X55,X56) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

cnf(c_0_46,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    perp(esk24_0,esk21_0,esk24_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_48,plain,
    ! [X392,X393,X394] :
      ( ~ midp(X392,X393,X394)
      | coll(X392,X393,X394) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

cnf(c_0_49,plain,
    ( perp(X1,X2,X4,X3)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_50,plain,
    ! [X383,X384,X385] :
      ( ~ para(X383,X384,X383,X385)
      | coll(X383,X384,X385) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_51,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    perp(esk24_0,esk22_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

fof(c_0_53,plain,
    ! [X22,X23,X24] :
      ( ~ coll(X22,X23,X24)
      | coll(X23,X22,X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

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

cnf(c_0_55,negated_conjecture,
    midp(esk23_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_56,plain,
    ! [X314,X315,X316,X317] :
      ( ~ perp(X314,X315,X315,X316)
      | ~ midp(X317,X314,X316)
      | cong(X314,X317,X315,X317) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_57,negated_conjecture,
    perp(esk24_0,esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_49,c_0_47]) ).

fof(c_0_58,plain,
    ! [X25,X26,X27,X28] :
      ( ~ coll(X25,X26,X27)
      | ~ coll(X25,X26,X28)
      | coll(X27,X28,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_59,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_60,negated_conjecture,
    ( para(X1,X2,esk24_0,esk21_0)
    | ~ perp(X1,X2,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_61,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_63,plain,
    ! [X493,X494,X495,X496] :
      ( ~ circle(X496,X493,X494,X495)
      | perp(esk12_4(X493,X494,X495,X496),X493,X493,X496) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

cnf(c_0_64,plain,
    ( cong(X1,X4,X2,X4)
    | ~ perp(X1,X2,X2,X3)
    | ~ midp(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_65,negated_conjecture,
    perp(esk22_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_57]) ).

cnf(c_0_66,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_67,negated_conjecture,
    ( coll(esk24_0,X1,esk21_0)
    | ~ perp(esk24_0,X1,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    coll(esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_69,plain,
    ( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

fof(c_0_70,plain,
    ! [X136,X137,X138,X139] :
      ( ~ cong(X136,X137,X138,X139)
      | cong(X136,X137,X139,X138) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_71,negated_conjecture,
    ( cong(esk22_0,X1,esk24_0,X1)
    | ~ midp(X1,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    ( coll(X1,esk21_0,esk23_0)
    | ~ coll(esk23_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_62]) ).

fof(c_0_73,plain,
    ! [X19,X20,X21] :
      ( ~ coll(X19,X20,X21)
      | coll(X19,X21,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk24_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_67,c_0_47]) ).

cnf(c_0_75,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(esk22_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_68]) ).

cnf(c_0_76,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_51,c_0_69]) ).

cnf(c_0_77,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_46,c_0_69]) ).

fof(c_0_78,plain,
    ! [X144,X145,X146,X147,X148,X149] :
      ( ~ cong(X144,X145,X146,X147)
      | ~ cong(X146,X147,X148,X149)
      | cong(X144,X145,X148,X149) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

fof(c_0_79,plain,
    ! [X140,X141,X142,X143] :
      ( ~ cong(X140,X141,X142,X143)
      | cong(X142,X143,X140,X141) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_80,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_81,negated_conjecture,
    cong(esk22_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_71,c_0_55]) ).

cnf(c_0_82,negated_conjecture,
    coll(esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_72,c_0_62]) ).

cnf(c_0_83,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_61,c_0_74]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_68]) ).

cnf(c_0_86,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_87,negated_conjecture,
    circle(esk26_0,esk22_0,esk24_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_88,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_89,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    cong(esk22_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_91,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_93,negated_conjecture,
    ( coll(X1,esk22_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_85]) ).

cnf(c_0_94,negated_conjecture,
    para(esk22_0,esk26_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

fof(c_0_95,plain,
    ! [X57,X58,X59,X60,X61,X62] :
      ( ~ para(X57,X58,X59,X60)
      | ~ perp(X59,X60,X61,X62)
      | perp(X57,X58,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

fof(c_0_96,plain,
    ! [X368,X369,X370,X371,X372] :
      ( ~ midp(X372,X368,X369)
      | ~ midp(X372,X370,X371)
      | para(X368,X370,X369,X371) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

cnf(c_0_97,negated_conjecture,
    ( cong(X1,X2,esk24_0,esk23_0)
    | ~ cong(X1,X2,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_88,c_0_81]) ).

cnf(c_0_98,negated_conjecture,
    cong(esk23_0,esk24_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_100,negated_conjecture,
    ( coll(X1,esk24_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk24_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_93,c_0_92]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk22_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_59,c_0_94]) ).

cnf(c_0_103,plain,
    ( perp(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_104,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

fof(c_0_105,plain,
    ! [X386,X387,X388] :
      ( ~ cong(X386,X387,X386,X388)
      | ~ coll(X386,X387,X388)
      | midp(X386,X387,X388) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_106,negated_conjecture,
    cong(esk23_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_99]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_100,c_0_92]) ).

fof(c_0_109,plain,
    ! [X318,X319,X320,X321] :
      ( ~ circle(X321,X318,X319,X320)
      | ~ coll(X321,X318,X320)
      | perp(X318,X319,X319,X320) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).

cnf(c_0_110,negated_conjecture,
    coll(esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_68]) ).

cnf(c_0_111,negated_conjecture,
    coll(esk22_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_61,c_0_101]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_62]) ).

cnf(c_0_113,negated_conjecture,
    coll(esk26_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_61,c_0_102]) ).

cnf(c_0_114,negated_conjecture,
    ( perp(X1,X2,esk22_0,esk24_0)
    | ~ para(X1,X2,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_57]) ).

cnf(c_0_115,negated_conjecture,
    ( para(X1,esk22_0,X2,esk21_0)
    | ~ midp(esk23_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_104,c_0_55]) ).

cnf(c_0_116,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_117,negated_conjecture,
    cong(esk23_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_80,c_0_106]) ).

cnf(c_0_118,negated_conjecture,
    ( coll(X1,esk23_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_107]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_108]) ).

cnf(c_0_120,plain,
    ( perp(X2,X3,X3,X4)
    | ~ circle(X1,X2,X3,X4)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

fof(c_0_121,plain,
    ! [X63,X64,X65] :
      ( ~ midp(X65,X64,X63)
      | midp(X65,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_122,negated_conjecture,
    cong(esk23_0,esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_80,c_0_98]) ).

cnf(c_0_123,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_110]) ).

cnf(c_0_124,negated_conjecture,
    coll(esk22_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_111]) ).

cnf(c_0_125,negated_conjecture,
    ( coll(X1,esk22_0,esk23_0)
    | ~ coll(esk23_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_112]) ).

cnf(c_0_126,negated_conjecture,
    coll(esk26_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_113]) ).

cnf(c_0_127,negated_conjecture,
    ( perp(X1,esk22_0,esk22_0,esk24_0)
    | ~ midp(esk23_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_128,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk24_0)
    | ~ coll(esk23_0,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_129,negated_conjecture,
    coll(esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

fof(c_0_130,plain,
    ! [X326,X327,X328,X329] :
      ( ~ midp(X328,X326,X327)
      | ~ perp(X329,X328,X326,X327)
      | cong(X329,X326,X329,X327) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_131,negated_conjecture,
    ( perp(esk22_0,esk24_0,esk24_0,esk23_0)
    | ~ coll(esk26_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_87]) ).

cnf(c_0_132,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_133,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk22_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_122]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_135,negated_conjecture,
    coll(esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_125,c_0_112]) ).

cnf(c_0_136,negated_conjecture,
    ( coll(X1,esk22_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_126]) ).

cnf(c_0_137,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk22_0,esk24_0)
    | ~ coll(esk23_0,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_138,negated_conjecture,
    coll(esk23_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_61,c_0_129]) ).

cnf(c_0_139,plain,
    ( cong(X4,X2,X4,X3)
    | ~ midp(X1,X2,X3)
    | ~ perp(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_140,negated_conjecture,
    ( perp(esk24_0,esk23_0,esk22_0,esk24_0)
    | ~ coll(esk26_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_131]) ).

cnf(c_0_141,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk24_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_142,negated_conjecture,
    coll(esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_61,c_0_134]) ).

cnf(c_0_143,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_135]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk22_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_136,c_0_126]) ).

cnf(c_0_145,negated_conjecture,
    coll(esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_135]) ).

cnf(c_0_146,negated_conjecture,
    perp(esk24_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138])]) ).

cnf(c_0_147,negated_conjecture,
    ( cong(esk24_0,esk22_0,esk24_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk24_0)
    | ~ coll(esk26_0,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_148,negated_conjecture,
    midp(esk23_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).

cnf(c_0_149,negated_conjecture,
    coll(esk26_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_150,negated_conjecture,
    coll(esk24_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_101]) ).

cnf(c_0_151,negated_conjecture,
    coll(esk22_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_145]) ).

cnf(c_0_152,negated_conjecture,
    perp(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_146]) ).

cnf(c_0_153,negated_conjecture,
    ( cong(esk24_0,esk22_0,esk24_0,esk24_0)
    | ~ coll(esk26_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_148])]) ).

cnf(c_0_154,negated_conjecture,
    coll(esk26_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_149]) ).

cnf(c_0_155,negated_conjecture,
    ( coll(X1,esk22_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_150]) ).

cnf(c_0_156,negated_conjecture,
    ( coll(X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_151]) ).

cnf(c_0_157,negated_conjecture,
    ( perp(X1,X2,esk24_0,esk22_0)
    | ~ para(X1,X2,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_103,c_0_47]) ).

cnf(c_0_158,negated_conjecture,
    perp(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_49,c_0_152]) ).

cnf(c_0_159,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154])]) ).

cnf(c_0_160,negated_conjecture,
    coll(esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_155,c_0_119]) ).

cnf(c_0_161,negated_conjecture,
    coll(esk24_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_156,c_0_124]) ).

cnf(c_0_162,negated_conjecture,
    ( perp(X1,esk22_0,esk24_0,esk22_0)
    | ~ midp(esk23_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_115]) ).

cnf(c_0_163,negated_conjecture,
    ( perp(esk22_0,esk22_0,esk22_0,esk24_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_127,c_0_141]) ).

cnf(c_0_164,negated_conjecture,
    ( cong(esk22_0,esk22_0,esk22_0,esk24_0)
    | ~ midp(esk24_0,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_158]) ).

cnf(c_0_165,negated_conjecture,
    midp(esk24_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_159]),c_0_160])]) ).

cnf(c_0_166,negated_conjecture,
    coll(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_61,c_0_161]) ).

cnf(c_0_167,negated_conjecture,
    ( perp(esk22_0,esk22_0,esk24_0,esk22_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_141]) ).

cnf(c_0_168,negated_conjecture,
    perp(esk22_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_142])]) ).

cnf(c_0_169,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_165])]) ).

cnf(c_0_170,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_166]) ).

cnf(c_0_171,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk22_0,esk22_0)
    | ~ coll(esk23_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_167]) ).

cnf(c_0_172,negated_conjecture,
    ( cong(esk22_0,X1,esk22_0,X1)
    | ~ midp(X1,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_168]) ).

cnf(c_0_173,negated_conjecture,
    midp(esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_169]),c_0_170])]) ).

cnf(c_0_174,negated_conjecture,
    ( coll(X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_145]) ).

fof(c_0_175,plain,
    ! [X373,X374,X375,X376,X377] :
      ( ~ midp(X377,X373,X374)
      | ~ para(X373,X375,X374,X376)
      | ~ para(X373,X376,X374,X375)
      | midp(X377,X375,X376) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_176,negated_conjecture,
    perp(esk24_0,esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_142])]) ).

cnf(c_0_177,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_178,negated_conjecture,
    coll(esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_174,c_0_145]) ).

fof(c_0_179,plain,
    ! [X389,X390,X391] :
      ( ~ midp(X389,X390,X391)
      | cong(X389,X390,X389,X391) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_180,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_175]) ).

cnf(c_0_181,negated_conjecture,
    ( cong(esk24_0,esk22_0,esk24_0,esk22_0)
    | ~ midp(esk22_0,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_176]) ).

cnf(c_0_182,negated_conjecture,
    midp(esk22_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_177]),c_0_178])]) ).

cnf(c_0_183,negated_conjecture,
    ( coll(X1,esk24_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_170]) ).

fof(c_0_184,plain,
    ! [X459,X460,X461,X462,X463,X464] :
      ( ( midp(esk6_6(X459,X460,X461,X462,X463,X464),X459,X462)
        | ~ midp(X463,X459,X460)
        | ~ midp(X464,X461,X462) )
      & ( para(esk6_6(X459,X460,X461,X462,X463,X464),X463,X460,X462)
        | ~ midp(X463,X459,X460)
        | ~ midp(X464,X461,X462) )
      & ( para(esk6_6(X459,X460,X461,X462,X463,X464),X464,X459,X461)
        | ~ midp(X463,X459,X460)
        | ~ midp(X464,X461,X462) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).

cnf(c_0_185,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_179]) ).

cnf(c_0_186,negated_conjecture,
    ( midp(X1,esk26_0,esk26_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_94]),c_0_94])]) ).

cnf(c_0_187,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).

cnf(c_0_188,negated_conjecture,
    coll(esk26_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_183,c_0_144]) ).

cnf(c_0_189,plain,
    ( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_184]) ).

cnf(c_0_190,negated_conjecture,
    ( cong(X1,esk26_0,X1,esk26_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_191,negated_conjecture,
    midp(esk24_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_187]),c_0_161])]) ).

cnf(c_0_192,negated_conjecture,
    ( coll(X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_113]) ).

cnf(c_0_193,negated_conjecture,
    coll(esk26_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_188]) ).

fof(c_0_194,plain,
    ! [X100,X101,X102,X103,X104,X105,X106,X107] :
      ( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
      | eqangle(X102,X103,X100,X101,X106,X107,X104,X105) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_195,plain,
    ! [X254,X255,X256,X257,X258,X259] :
      ( ~ para(X254,X255,X256,X257)
      | eqangle(X254,X255,X258,X259,X256,X257,X258,X259) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_196,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
    | ~ midp(X8,X6,X4)
    | ~ midp(X7,X2,X5) ),
    inference(spm,[status(thm)],[c_0_104,c_0_189]) ).

cnf(c_0_197,negated_conjecture,
    cong(esk24_0,esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_198,negated_conjecture,
    coll(esk24_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

fof(c_0_199,plain,
    ! [X248,X249,X250,X251,X252,X253] :
      ( ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253)
      | para(X248,X249,X250,X251) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_200,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_194]) ).

cnf(c_0_201,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_195]) ).

cnf(c_0_202,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_196,c_0_189]) ).

cnf(c_0_203,negated_conjecture,
    midp(esk24_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_197]),c_0_198])]) ).

cnf(c_0_204,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk24_0,esk22_0)
    | ~ coll(esk23_0,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_128]) ).

cnf(c_0_205,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_199]) ).

cnf(c_0_206,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_207,negated_conjecture,
    ( para(X1,X1,esk26_0,esk26_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

fof(c_0_208,plain,
    ! [X425,X426,X427,X428,X429,X430,X431,X432] :
      ( ~ eqratio(X425,X426,X427,X428,X429,X430,X431,X432)
      | ~ cong(X429,X430,X431,X432)
      | cong(X425,X426,X427,X428) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_209,plain,
    ! [X395,X396,X397,X398,X399,X400] :
      ( ~ midp(X399,X395,X396)
      | ~ midp(X400,X397,X398)
      | eqratio(X399,X395,X395,X396,X400,X397,X397,X398) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_210,negated_conjecture,
    perp(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_138])]) ).

cnf(c_0_211,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_212,negated_conjecture,
    para(esk26_0,esk26_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_207,c_0_203]) ).

cnf(c_0_213,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_208]) ).

cnf(c_0_214,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_209]) ).

cnf(c_0_215,negated_conjecture,
    ( cong(esk24_0,esk24_0,esk24_0,esk22_0)
    | ~ midp(esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_210]) ).

cnf(c_0_216,negated_conjecture,
    midp(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_132,c_0_173]) ).

cnf(c_0_217,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_218,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_213,c_0_214]) ).

cnf(c_0_219,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_216])]) ).

cnf(c_0_220,negated_conjecture,
    midp(esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_132,c_0_165]) ).

cnf(c_0_221,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_217]),c_0_217])]) ).

cnf(c_0_222,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_59,c_0_217]) ).

cnf(c_0_223,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_218,c_0_219]),c_0_220])]) ).

cnf(c_0_224,negated_conjecture,
    midp(esk24_0,X1,X1),
    inference(spm,[status(thm)],[c_0_221,c_0_203]) ).

cnf(c_0_225,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_61,c_0_222]) ).

fof(c_0_226,plain,
    ! [X409,X410,X411,X412,X413,X414,X415,X416] :
      ( ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416)
      | ~ para(X413,X414,X415,X416)
      | para(X409,X410,X411,X412) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

fof(c_0_227,plain,
    ! [X288,X289,X290] :
      ( ~ cong(X290,X288,X290,X289)
      | eqangle(X290,X288,X288,X289,X288,X289,X290,X289) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_228,negated_conjecture,
    cong(esk24_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_229,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_83,c_0_225]) ).

fof(c_0_230,plain,
    ! [X283,X284,X285,X286,X287] :
      ( ~ midp(X286,X283,X284)
      | ~ para(X286,X287,X284,X285)
      | ~ coll(X287,X283,X285)
      | midp(X287,X283,X285) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_231,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ para(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_226]) ).

cnf(c_0_232,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_227]) ).

cnf(c_0_233,negated_conjecture,
    cong(X1,X1,esk24_0,X1),
    inference(spm,[status(thm)],[c_0_89,c_0_228]) ).

cnf(c_0_234,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_229]),c_0_229])]) ).

fof(c_0_235,plain,
    ! [X268,X269,X270,X271] :
      ( ~ eqangle(X270,X268,X270,X269,X271,X268,X271,X269)
      | ~ coll(X270,X271,X269)
      | cyclic(X268,X269,X270,X271) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_236,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_230]) ).

cnf(c_0_237,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_238,negated_conjecture,
    cong(X1,X1,X1,esk24_0),
    inference(spm,[status(thm)],[c_0_80,c_0_233]) ).

cnf(c_0_239,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_234])]) ).

cnf(c_0_240,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_235]) ).

cnf(c_0_241,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_234])]) ).

cnf(c_0_242,negated_conjecture,
    para(X1,X1,X1,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_217])]) ).

cnf(c_0_243,negated_conjecture,
    midp(X1,X1,esk24_0),
    inference(spm,[status(thm)],[c_0_239,c_0_238]) ).

cnf(c_0_244,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_240,c_0_201]) ).

cnf(c_0_245,negated_conjecture,
    ( midp(X1,X2,esk24_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_246,negated_conjecture,
    midp(X1,esk24_0,X1),
    inference(spm,[status(thm)],[c_0_132,c_0_243]) ).

fof(c_0_247,plain,
    ! [X79,X80,X81,X82] :
      ( ~ cyclic(X79,X80,X81,X82)
      | cyclic(X79,X81,X80,X82) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_248,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ coll(X3,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_217])]) ).

cnf(c_0_249,negated_conjecture,
    midp(X1,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

fof(c_0_250,plain,
    ! [X29,X30,X31,X32] :
      ( ~ para(X29,X30,X31,X32)
      | para(X29,X30,X32,X31) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

fof(c_0_251,plain,
    ! [X75,X76,X77,X78] :
      ( ~ cyclic(X75,X76,X77,X78)
      | cyclic(X75,X76,X78,X77) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_252,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_247]) ).

cnf(c_0_253,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_229])]) ).

cnf(c_0_254,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_184]) ).

cnf(c_0_255,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_241,c_0_217]) ).

cnf(c_0_256,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_221,c_0_249]) ).

cnf(c_0_257,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_250]) ).

fof(c_0_258,plain,
    ! [X83,X84,X85,X86] :
      ( ~ cyclic(X83,X84,X85,X86)
      | cyclic(X84,X83,X85,X86) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_259,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_251]) ).

cnf(c_0_260,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

fof(c_0_261,plain,
    ! [X37,X38,X39,X40,X41,X42] :
      ( ~ para(X37,X38,X39,X40)
      | ~ para(X39,X40,X41,X42)
      | para(X37,X38,X41,X42) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

fof(c_0_262,plain,
    ! [X33,X34,X35,X36] :
      ( ~ para(X33,X34,X35,X36)
      | para(X35,X36,X33,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_263,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(X1,X4,X5)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_236,c_0_254]) ).

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

cnf(c_0_265,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_257,c_0_217]) ).

fof(c_0_266,plain,
    ! [X272,X273,X274,X275,X276,X277] :
      ( ~ cyclic(X272,X273,X274,X275)
      | ~ cyclic(X272,X273,X274,X276)
      | ~ cyclic(X272,X273,X274,X277)
      | ~ eqangle(X274,X272,X274,X273,X277,X275,X277,X276)
      | cong(X272,X273,X275,X276) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).

fof(c_0_267,plain,
    ! [X87,X88,X89,X90,X91] :
      ( ~ cyclic(X87,X88,X89,X90)
      | ~ cyclic(X87,X88,X89,X91)
      | cyclic(X88,X89,X90,X91) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_268,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_258]) ).

cnf(c_0_269,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_270,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_271,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_184]) ).

cnf(c_0_272,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_262]) ).

cnf(c_0_273,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_234])]) ).

cnf(c_0_274,negated_conjecture,
    midp(X1,X2,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_264])]) ).

cnf(c_0_275,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_265]) ).

cnf(c_0_276,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_266]) ).

cnf(c_0_277,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_267]) ).

cnf(c_0_278,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_279,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_270,c_0_271]) ).

cnf(c_0_280,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_272,c_0_254]) ).

cnf(c_0_281,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_274])]) ).

cnf(c_0_282,negated_conjecture,
    midp(esk24_0,X1,X2),
    inference(spm,[status(thm)],[c_0_275,c_0_274]) ).

cnf(c_0_283,plain,
    ( cong(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X4,X4)
    | ~ cyclic(X1,X2,X4,X2)
    | ~ cyclic(X1,X2,X4,X3)
    | ~ para(X4,X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_276,c_0_201]) ).

cnf(c_0_284,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_278])]) ).

cnf(c_0_285,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X4,X2)
    | ~ midp(X5,X3,X1) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_286,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

fof(c_0_287,plain,
    ! [X330,X331,X332,X333] :
      ( ~ cong(X330,X332,X331,X332)
      | ~ cong(X330,X333,X331,X333)
      | perp(X330,X331,X332,X333) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_288,plain,
    ( cong(X1,X2,X3,X2)
    | ~ para(X4,X1,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_253])]),c_0_284]),c_0_284])]) ).

cnf(c_0_289,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_285,c_0_286]),c_0_286])]) ).

cnf(c_0_290,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_287]) ).

cnf(c_0_291,plain,
    cong(X1,X2,X3,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_289])]) ).

cnf(c_0_292,negated_conjecture,
    ~ perp(esk25_0,esk24_0,esk24_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_293,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_291]),c_0_291])]) ).

cnf(c_0_294,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_293])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO607+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n024.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 02:40:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.61/2.64  # ENIGMATIC: Solved by autoschedule:
% 9.61/2.64  # No SInE strategy applied
% 9.61/2.64  # Trying AutoSched0 for 150 seconds
% 9.61/2.64  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.61/2.64  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.61/2.64  #
% 9.61/2.64  # Preprocessing time       : 0.032 s
% 9.61/2.64  # Presaturation interreduction done
% 9.61/2.64  
% 9.61/2.64  # Proof found!
% 9.61/2.64  # SZS status Theorem
% 9.61/2.64  # SZS output start CNFRefutation
% See solution above
% 9.61/2.64  # Training examples: 0 positive, 0 negative
% 9.61/2.64  
% 9.61/2.64  # -------------------------------------------------
% 9.61/2.64  # User time                : 0.217 s
% 9.61/2.64  # System time              : 0.006 s
% 9.61/2.64  # Total time               : 0.224 s
% 9.61/2.64  # Maximum resident set size: 7124 pages
% 9.61/2.64  
%------------------------------------------------------------------------------