TSTP Solution File: GEO590+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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  : 300s
% DateTime : Sat May  4 07:46:04 EDT 2024

% Result   : Theorem 2.26s 0.81s
% Output   : CNFRefutation 2.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  318 ( 156 unt;   0 def)
%            Number of atoms       :  570 (   0 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  434 ( 182   ~; 179   |;  39   &)
%                                         (   0 <=>;  34  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-6 aty)
%            Number of variables   :  614 (  40 sgn 312   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416052,conjecture,
    ! [X3,X4,X5,X8,X1,X6] :
      ( ( perp(X5,X3,X5,X4)
        & midp(X8,X4,X3)
        & perp(X3,X4,X3,X1)
        & perp(X5,X8,X5,X1)
        & coll(X6,X3,X1)
        & coll(X6,X4,X5) )
     => cong(X1,X5,X1,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',exemplo6GDDFULL416052) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD1) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD3) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD69) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD2) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD7) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD8) ).

fof(ruleD52,axiom,
    ! [X1,X2,X3,X7] :
      ( ( perp(X1,X2,X2,X3)
        & midp(X7,X1,X3) )
     => cong(X1,X7,X2,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD52) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X1,X2,X3,X4)
        & cong(X3,X4,X5,X6) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD25) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD24) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD23) ).

fof(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD63) ).

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/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleX6) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD11) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD67) ).

fof(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD74) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD46) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD68) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD4) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD64) ).

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/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',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/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD70) ).

fof(ruleD12,axiom,
    ! [X1,X2,X3,X8] :
      ( ( cong(X8,X1,X8,X2)
        & cong(X8,X1,X8,X3) )
     => circle(X8,X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD12) ).

fof(ruleD53,axiom,
    ! [X1,X2,X3,X8] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X8,X1,X3) )
     => perp(X1,X2,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD53) ).

fof(ruleD55,axiom,
    ! [X1,X2,X7,X8] :
      ( ( midp(X7,X1,X2)
        & perp(X8,X7,X1,X2) )
     => cong(X8,X1,X8,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD55) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD56) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',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/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',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/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD39) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD66) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD73) ).

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/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD45) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p',ruleD44) ).

fof(c_0_33,negated_conjecture,
    ~ ! [X3,X4,X5,X8,X1,X6] :
        ( ( perp(X5,X3,X5,X4)
          & midp(X8,X4,X3)
          & perp(X3,X4,X3,X1)
          & perp(X5,X8,X5,X1)
          & coll(X6,X3,X1)
          & coll(X6,X4,X5) )
       => cong(X1,X5,X1,X6) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416052]) ).

fof(c_0_34,plain,
    ! [X19,X20,X21] :
      ( ~ coll(X19,X20,X21)
      | coll(X19,X21,X20) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).

fof(c_0_35,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk23_0,esk22_0)
    & midp(esk24_0,esk22_0,esk21_0)
    & perp(esk21_0,esk22_0,esk21_0,esk25_0)
    & perp(esk23_0,esk24_0,esk23_0,esk25_0)
    & coll(esk26_0,esk21_0,esk25_0)
    & coll(esk26_0,esk22_0,esk23_0)
    & ~ cong(esk25_0,esk23_0,esk25_0,esk26_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).

fof(c_0_36,plain,
    ! [X25,X26,X27,X28] :
      ( ~ coll(X25,X26,X27)
      | ~ coll(X25,X26,X28)
      | coll(X27,X28,X25) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).

cnf(c_0_37,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    coll(esk26_0,esk21_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_39,plain,
    ! [X392,X393,X394] :
      ( ~ midp(X392,X393,X394)
      | coll(X392,X393,X394) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).

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

cnf(c_0_41,negated_conjecture,
    coll(esk26_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    midp(esk24_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_44,negated_conjecture,
    ( coll(X1,esk21_0,esk26_0)
    | ~ coll(esk26_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    coll(esk24_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_46,plain,
    ! [X22,X23,X24] :
      ( ~ coll(X22,X23,X24)
      | coll(X23,X22,X24) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk21_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_44,c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    ( coll(X1,esk21_0,esk24_0)
    | ~ coll(esk24_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_45]) ).

fof(c_0_49,plain,
    ! [X43,X44,X45,X46] :
      ( ~ perp(X43,X44,X45,X46)
      | perp(X43,X44,X46,X45) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).

cnf(c_0_50,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    ( coll(X1,esk26_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_45]) ).

fof(c_0_53,plain,
    ! [X47,X48,X49,X50] :
      ( ~ perp(X47,X48,X49,X50)
      | perp(X49,X50,X47,X48) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).

cnf(c_0_54,plain,
    ( perp(X1,X2,X4,X3)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_55,negated_conjecture,
    perp(esk23_0,esk21_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk22_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_50,c_0_45]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk24_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_37,c_0_45]) ).

cnf(c_0_58,negated_conjecture,
    coll(esk24_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_59,plain,
    ! [X314,X315,X316,X317] :
      ( ~ perp(X314,X315,X315,X316)
      | ~ midp(X317,X314,X316)
      | cong(X314,X317,X315,X317) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])])]) ).

cnf(c_0_60,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    perp(esk23_0,esk21_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk22_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_37,c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk26_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_64,negated_conjecture,
    ( coll(X1,esk22_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_57]) ).

cnf(c_0_65,negated_conjecture,
    coll(esk24_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_58]) ).

cnf(c_0_66,plain,
    ( cong(X1,X4,X2,X4)
    | ~ perp(X1,X2,X2,X3)
    | ~ midp(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_67,negated_conjecture,
    perp(esk22_0,esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_68,negated_conjecture,
    ( coll(X1,esk24_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_62]) ).

cnf(c_0_69,negated_conjecture,
    coll(esk22_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk26_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_71,plain,
    ! [X144,X145,X146,X147,X148,X149] :
      ( ~ cong(X144,X145,X146,X147)
      | ~ cong(X146,X147,X148,X149)
      | cong(X144,X145,X148,X149) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).

cnf(c_0_72,negated_conjecture,
    ( cong(esk22_0,X1,esk23_0,X1)
    | ~ midp(X1,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

fof(c_0_73,plain,
    ! [X140,X141,X142,X143] :
      ( ~ cong(X140,X141,X142,X143)
      | cong(X142,X143,X140,X141) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).

cnf(c_0_74,negated_conjecture,
    coll(esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_68,c_0_62]) ).

cnf(c_0_75,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_69]) ).

cnf(c_0_76,negated_conjecture,
    coll(esk22_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_70]) ).

fof(c_0_77,plain,
    ! [X136,X137,X138,X139] :
      ( ~ cong(X136,X137,X138,X139)
      | cong(X136,X137,X139,X138) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).

fof(c_0_78,plain,
    ! [X368,X369,X370,X371,X372] :
      ( ~ midp(X372,X368,X369)
      | ~ midp(X372,X370,X371)
      | para(X368,X370,X369,X371) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).

fof(c_0_79,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(fof_nnf,[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_80,plain,
    ! [X63,X64,X65] :
      ( ~ midp(X65,X64,X63)
      | midp(X65,X63,X64) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).

cnf(c_0_81,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_82,negated_conjecture,
    cong(esk22_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_72,c_0_43]) ).

cnf(c_0_83,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_37,c_0_74]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_86,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_87,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_88,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_79]) ).

cnf(c_0_89,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

fof(c_0_90,plain,
    ! [X386,X387,X388] :
      ( ~ cong(X386,X387,X386,X388)
      | ~ coll(X386,X387,X388)
      | midp(X386,X387,X388) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).

cnf(c_0_91,negated_conjecture,
    ( cong(X1,X2,esk23_0,esk24_0)
    | ~ cong(X1,X2,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    cong(esk23_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_82]) ).

cnf(c_0_93,negated_conjecture,
    ( coll(X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_84]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk24_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_85]) ).

cnf(c_0_95,negated_conjecture,
    cong(esk22_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_86,c_0_82]) ).

cnf(c_0_96,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_87,c_0_88]) ).

cnf(c_0_97,plain,
    ( midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1)
    | ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_88]) ).

cnf(c_0_98,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

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

cnf(c_0_100,negated_conjecture,
    coll(esk23_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_101,negated_conjecture,
    cong(esk24_0,esk23_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_95]) ).

fof(c_0_102,plain,
    ! [X417,X418,X419,X420,X421,X422,X423,X424] :
      ( ~ eqangle(X417,X418,X419,X420,X421,X422,X423,X424)
      | ~ perp(X421,X422,X423,X424)
      | perp(X417,X418,X419,X420) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])]) ).

fof(c_0_103,plain,
    ! [X288,X289,X290] :
      ( ~ cong(X290,X288,X290,X289)
      | eqangle(X290,X288,X288,X289,X288,X289,X290,X289) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).

fof(c_0_104,plain,
    ! [X389,X390,X391] :
      ( ~ midp(X389,X390,X391)
      | cong(X389,X390,X389,X391) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).

cnf(c_0_105,plain,
    ( para(X1,X2,X2,X1)
    | ~ midp(X3,X4,X1)
    | ~ midp(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_106,negated_conjecture,
    midp(esk23_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).

cnf(c_0_107,negated_conjecture,
    cong(esk24_0,esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_86,c_0_101]) ).

cnf(c_0_108,plain,
    ( perp(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ perp(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_109,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_110,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_111,negated_conjecture,
    midp(esk24_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_89,c_0_43]) ).

fof(c_0_112,plain,
    ! [X29,X30,X31,X32] :
      ( ~ para(X29,X30,X31,X32)
      | para(X29,X30,X32,X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).

cnf(c_0_113,negated_conjecture,
    ( para(esk24_0,X1,X1,esk24_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_114,negated_conjecture,
    midp(esk24_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_107]),c_0_85])]) ).

cnf(c_0_115,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_116,negated_conjecture,
    cong(esk24_0,esk21_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

fof(c_0_117,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).

cnf(c_0_118,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_119,negated_conjecture,
    para(esk24_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_120,negated_conjecture,
    ( coll(X1,esk23_0,esk26_0)
    | ~ coll(esk26_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_63]) ).

cnf(c_0_121,negated_conjecture,
    ( perp(esk24_0,esk21_0,esk21_0,esk22_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_122,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(esk22_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_56]) ).

cnf(c_0_123,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_117]) ).

cnf(c_0_124,negated_conjecture,
    para(esk24_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_125,negated_conjecture,
    coll(esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_120,c_0_63]) ).

cnf(c_0_126,negated_conjecture,
    coll(esk24_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_120,c_0_70]) ).

cnf(c_0_127,negated_conjecture,
    ( perp(esk24_0,esk21_0,esk22_0,esk21_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_121]) ).

cnf(c_0_128,negated_conjecture,
    coll(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_122,c_0_56]) ).

fof(c_0_129,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).

fof(c_0_130,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).

cnf(c_0_131,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).

cnf(c_0_132,negated_conjecture,
    coll(esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_125]) ).

cnf(c_0_133,negated_conjecture,
    coll(esk23_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_50,c_0_126]) ).

fof(c_0_134,plain,
    ! [X66,X67,X68,X69] :
      ( ~ cong(X69,X66,X69,X67)
      | ~ cong(X69,X66,X69,X68)
      | circle(X69,X66,X67,X68) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])])]) ).

cnf(c_0_135,negated_conjecture,
    perp(esk21_0,esk22_0,esk21_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_136,negated_conjecture,
    ( perp(esk22_0,esk21_0,esk24_0,esk21_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_127]) ).

cnf(c_0_137,negated_conjecture,
    coll(esk22_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_51,c_0_128]) ).

cnf(c_0_138,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_110,c_0_43]) ).

cnf(c_0_139,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_129]) ).

cnf(c_0_140,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_130]) ).

cnf(c_0_141,negated_conjecture,
    midp(esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_131,c_0_106]) ).

cnf(c_0_142,negated_conjecture,
    cong(esk24_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_91,c_0_101]) ).

cnf(c_0_143,negated_conjecture,
    ( coll(X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_132]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk23_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_37,c_0_133]) ).

fof(c_0_145,plain,
    ! [X318,X319,X320,X321] :
      ( ~ circle(X321,X318,X319,X320)
      | ~ coll(X321,X318,X320)
      | perp(X318,X319,X319,X320) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])]) ).

cnf(c_0_146,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X3)
    | ~ cong(X1,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_147,negated_conjecture,
    perp(esk21_0,esk22_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_54,c_0_135]) ).

fof(c_0_148,plain,
    ! [X326,X327,X328,X329] :
      ( ~ midp(X328,X326,X327)
      | ~ perp(X329,X328,X326,X327)
      | cong(X329,X326,X329,X327) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])])]) ).

cnf(c_0_149,negated_conjecture,
    ( perp(esk22_0,esk21_0,esk21_0,esk24_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_136]) ).

cnf(c_0_150,negated_conjecture,
    coll(esk22_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_137]) ).

cnf(c_0_151,negated_conjecture,
    cong(esk24_0,esk22_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_86,c_0_138]) ).

cnf(c_0_152,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_139,c_0_140]) ).

cnf(c_0_153,negated_conjecture,
    cong(esk23_0,esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_110,c_0_141]) ).

cnf(c_0_154,negated_conjecture,
    cong(esk24_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_86,c_0_142]) ).

cnf(c_0_155,negated_conjecture,
    coll(esk24_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_156,plain,
    ( perp(X2,X3,X3,X4)
    | ~ circle(X1,X2,X3,X4)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_157,negated_conjecture,
    ( circle(esk24_0,esk22_0,X1,esk21_0)
    | ~ cong(esk24_0,esk22_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_138]) ).

cnf(c_0_158,negated_conjecture,
    perp(esk25_0,esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_60,c_0_147]) ).

cnf(c_0_159,plain,
    ( cong(X4,X2,X4,X3)
    | ~ midp(X1,X2,X3)
    | ~ perp(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_160,negated_conjecture,
    ( perp(esk21_0,esk24_0,esk22_0,esk21_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_149]) ).

cnf(c_0_161,negated_conjecture,
    coll(esk21_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_50,c_0_38]) ).

cnf(c_0_162,negated_conjecture,
    coll(esk21_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_50,c_0_150]) ).

cnf(c_0_163,negated_conjecture,
    ( cong(X1,X2,esk24_0,esk21_0)
    | ~ cong(X1,X2,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_138]) ).

cnf(c_0_164,negated_conjecture,
    cong(esk21_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_151]) ).

cnf(c_0_165,negated_conjecture,
    ( para(esk22_0,X1,X1,esk22_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_114]) ).

cnf(c_0_166,negated_conjecture,
    cong(esk24_0,esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_86,c_0_116]) ).

cnf(c_0_167,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_152,c_0_153]),c_0_141])]) ).

cnf(c_0_168,negated_conjecture,
    midp(esk24_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_154]),c_0_155])]) ).

cnf(c_0_169,negated_conjecture,
    ( perp(esk22_0,X1,X1,esk21_0)
    | ~ cong(esk24_0,esk22_0,esk24_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_45])]) ).

cnf(c_0_170,negated_conjecture,
    perp(esk25_0,esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_54,c_0_158]) ).

cnf(c_0_171,negated_conjecture,
    ( cong(esk21_0,esk22_0,esk21_0,esk21_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_43])]) ).

cnf(c_0_172,negated_conjecture,
    coll(esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_37,c_0_128]) ).

cnf(c_0_173,negated_conjecture,
    ( coll(X1,esk25_0,esk21_0)
    | ~ coll(esk21_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_161]) ).

cnf(c_0_174,negated_conjecture,
    coll(esk21_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_37,c_0_162]) ).

cnf(c_0_175,negated_conjecture,
    para(esk24_0,esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_113,c_0_43]) ).

cnf(c_0_176,negated_conjecture,
    cong(esk21_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_177,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_84]) ).

cnf(c_0_178,negated_conjecture,
    coll(esk26_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_50,c_0_137]) ).

cnf(c_0_179,negated_conjecture,
    para(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_165,c_0_106]) ).

cnf(c_0_180,negated_conjecture,
    ( cong(X1,X2,esk22_0,esk24_0)
    | ~ cong(X1,X2,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_166]) ).

cnf(c_0_181,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_64,c_0_57]) ).

cnf(c_0_182,negated_conjecture,
    perp(esk23_0,esk24_0,esk23_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_183,negated_conjecture,
    cong(esk24_0,esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_184,negated_conjecture,
    coll(esk26_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_50,c_0_58]) ).

cnf(c_0_185,negated_conjecture,
    perp(esk22_0,esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_169,c_0_138]) ).

cnf(c_0_186,negated_conjecture,
    ( cong(esk25_0,esk22_0,esk25_0,esk21_0)
    | ~ midp(esk21_0,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_170]) ).

cnf(c_0_187,negated_conjecture,
    ( midp(esk21_0,esk22_0,esk21_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_171]),c_0_172])]) ).

cnf(c_0_188,negated_conjecture,
    coll(esk22_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_189,negated_conjecture,
    para(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_118,c_0_175]) ).

cnf(c_0_190,negated_conjecture,
    cong(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_86,c_0_176]) ).

cnf(c_0_191,negated_conjecture,
    coll(esk21_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_177]) ).

cnf(c_0_192,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(esk26_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_38]) ).

cnf(c_0_193,negated_conjecture,
    coll(esk26_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_37,c_0_178]) ).

cnf(c_0_194,negated_conjecture,
    para(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_118,c_0_179]) ).

cnf(c_0_195,negated_conjecture,
    cong(esk24_0,esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_180,c_0_138]) ).

cnf(c_0_196,negated_conjecture,
    coll(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_37,c_0_181]) ).

cnf(c_0_197,negated_conjecture,
    perp(esk23_0,esk24_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_54,c_0_182]) ).

cnf(c_0_198,negated_conjecture,
    cong(esk23_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_183]) ).

cnf(c_0_199,negated_conjecture,
    coll(esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_155]) ).

cnf(c_0_200,negated_conjecture,
    coll(esk26_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_37,c_0_184]) ).

cnf(c_0_201,negated_conjecture,
    perp(esk21_0,esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_60,c_0_185]) ).

cnf(c_0_202,negated_conjecture,
    ( cong(esk25_0,esk22_0,esk25_0,esk21_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_203,negated_conjecture,
    coll(esk25_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_50,c_0_188]) ).

fof(c_0_204,plain,
    ! [X330,X331,X332,X333] :
      ( ~ cong(X330,X332,X331,X332)
      | ~ cong(X330,X333,X331,X333)
      | perp(X330,X331,X332,X333) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).

cnf(c_0_205,negated_conjecture,
    ( midp(X1,esk22_0,esk22_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_189]),c_0_189])]) ).

cnf(c_0_206,negated_conjecture,
    midp(esk21_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_190]),c_0_191])]) ).

cnf(c_0_207,negated_conjecture,
    coll(esk22_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_208,negated_conjecture,
    ( midp(X1,esk24_0,esk24_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_194]),c_0_194])]) ).

cnf(c_0_209,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_86,c_0_195]) ).

cnf(c_0_210,negated_conjecture,
    coll(esk24_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_50,c_0_196]) ).

cnf(c_0_211,negated_conjecture,
    perp(esk25_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_60,c_0_197]) ).

cnf(c_0_212,negated_conjecture,
    cong(esk23_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_86,c_0_198]) ).

cnf(c_0_213,negated_conjecture,
    coll(esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_37,c_0_199]) ).

cnf(c_0_214,negated_conjecture,
    coll(esk24_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_126]) ).

cnf(c_0_215,negated_conjecture,
    coll(esk24_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_192,c_0_200]) ).

cnf(c_0_216,negated_conjecture,
    perp(esk21_0,esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_54,c_0_201]) ).

cnf(c_0_217,negated_conjecture,
    ( midp(esk25_0,esk22_0,esk21_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_202]),c_0_203])]) ).

cnf(c_0_218,negated_conjecture,
    coll(esk25_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_173,c_0_161]) ).

cnf(c_0_219,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_204]) ).

cnf(c_0_220,negated_conjecture,
    cong(esk21_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_86,c_0_164]) ).

cnf(c_0_221,negated_conjecture,
    midp(esk21_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_222,negated_conjecture,
    coll(esk22_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_37,c_0_207]) ).

cnf(c_0_223,negated_conjecture,
    ( cong(X1,esk24_0,X1,esk24_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_208]) ).

cnf(c_0_224,negated_conjecture,
    midp(esk24_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_209]),c_0_210])]) ).

cnf(c_0_225,negated_conjecture,
    ( cong(esk25_0,esk23_0,esk25_0,esk24_0)
    | ~ midp(esk23_0,esk23_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_159,c_0_211]) ).

cnf(c_0_226,negated_conjecture,
    midp(esk23_0,esk23_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_212]),c_0_213])]) ).

cnf(c_0_227,negated_conjecture,
    ( coll(X1,esk23_0,esk24_0)
    | ~ coll(esk24_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_214]) ).

cnf(c_0_228,negated_conjecture,
    coll(esk24_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_37,c_0_215]) ).

cnf(c_0_229,negated_conjecture,
    ( cong(esk21_0,X1,esk21_0,X1)
    | ~ midp(X1,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_216]) ).

cnf(c_0_230,negated_conjecture,
    ( midp(esk25_0,esk21_0,esk22_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_89,c_0_217]) ).

cnf(c_0_231,negated_conjecture,
    coll(esk25_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_37,c_0_218]) ).

cnf(c_0_232,negated_conjecture,
    ( perp(esk21_0,esk22_0,X1,esk24_0)
    | ~ cong(esk21_0,X1,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_233,negated_conjecture,
    cong(esk21_0,esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_167,c_0_221]) ).

cnf(c_0_234,negated_conjecture,
    ( perp(esk23_0,esk23_0,X1,esk24_0)
    | ~ cong(esk23_0,X1,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_219,c_0_99]) ).

cnf(c_0_235,negated_conjecture,
    coll(esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_192,c_0_38]) ).

cnf(c_0_236,negated_conjecture,
    coll(esk26_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_50,c_0_222]) ).

cnf(c_0_237,negated_conjecture,
    ( perp(esk24_0,esk24_0,X1,esk23_0)
    | ~ cong(esk24_0,X1,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_219,c_0_154]) ).

cnf(c_0_238,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_239,negated_conjecture,
    cong(esk25_0,esk23_0,esk25_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_226])]) ).

cnf(c_0_240,negated_conjecture,
    coll(esk25_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_241,negated_conjecture,
    ( cong(esk21_0,esk25_0,esk21_0,esk25_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_242,negated_conjecture,
    coll(esk21_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_50,c_0_231]) ).

cnf(c_0_243,negated_conjecture,
    perp(esk21_0,esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_244,negated_conjecture,
    perp(esk23_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_234,c_0_153]) ).

cnf(c_0_245,negated_conjecture,
    coll(esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_37,c_0_235]) ).

cnf(c_0_246,negated_conjecture,
    coll(esk25_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_120,c_0_236]) ).

cnf(c_0_247,negated_conjecture,
    perp(esk24_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_248,negated_conjecture,
    midp(esk25_0,esk23_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_239]),c_0_240])]) ).

fof(c_0_249,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).

fof(c_0_250,plain,
    ! [X254,X255,X256,X257,X258,X259] :
      ( ~ para(X254,X255,X256,X257)
      | eqangle(X254,X255,X258,X259,X256,X257,X258,X259) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).

cnf(c_0_251,negated_conjecture,
    ( midp(esk21_0,esk25_0,esk25_0)
    | ~ perp(esk21_0,esk22_0,esk24_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_241]),c_0_242])]) ).

cnf(c_0_252,negated_conjecture,
    perp(esk21_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_54,c_0_243]) ).

cnf(c_0_253,negated_conjecture,
    ( cong(esk23_0,X1,esk23_0,X1)
    | ~ midp(X1,esk23_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_244]) ).

cnf(c_0_254,negated_conjecture,
    ( coll(X1,esk25_0,esk25_0)
    | ~ coll(esk25_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_245]) ).

cnf(c_0_255,negated_conjecture,
    coll(esk25_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_246]) ).

cnf(c_0_256,negated_conjecture,
    ( cong(esk24_0,X1,esk24_0,X1)
    | ~ midp(X1,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_66,c_0_247]) ).

cnf(c_0_257,negated_conjecture,
    midp(esk25_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_89,c_0_248]) ).

cnf(c_0_258,negated_conjecture,
    coll(esk22_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_37,c_0_188]) ).

fof(c_0_259,plain,
    ! [X248,X249,X250,X251,X252,X253] :
      ( ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253)
      | para(X248,X249,X250,X251) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).

cnf(c_0_260,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_249]) ).

cnf(c_0_261,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_250]) ).

cnf(c_0_262,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_96,c_0_88]) ).

cnf(c_0_263,negated_conjecture,
    midp(esk21_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252])]) ).

cnf(c_0_264,negated_conjecture,
    cong(esk23_0,esk25_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_253,c_0_248]) ).

cnf(c_0_265,negated_conjecture,
    coll(esk23_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_266,negated_conjecture,
    cong(esk24_0,esk25_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_267,negated_conjecture,
    coll(esk25_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_68,c_0_258]) ).

cnf(c_0_268,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_269,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_260,c_0_261]) ).

cnf(c_0_270,negated_conjecture,
    ( para(X1,X1,esk25_0,esk25_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_262,c_0_263]) ).

cnf(c_0_271,negated_conjecture,
    midp(esk23_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_264]),c_0_265])]) ).

cnf(c_0_272,negated_conjecture,
    cong(esk24_0,esk25_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_86,c_0_266]) ).

cnf(c_0_273,negated_conjecture,
    coll(esk24_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_50,c_0_267]) ).

cnf(c_0_274,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_275,negated_conjecture,
    para(esk25_0,esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_276,negated_conjecture,
    cong(esk25_0,esk24_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_83,c_0_272]) ).

cnf(c_0_277,negated_conjecture,
    coll(esk24_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_37,c_0_273]) ).

fof(c_0_278,plain,
    ! [X383,X384,X385] :
      ( ~ para(X383,X384,X383,X385)
      | coll(X383,X384,X385) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).

cnf(c_0_279,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_280,negated_conjecture,
    cong(esk25_0,esk24_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_86,c_0_276]) ).

cnf(c_0_281,negated_conjecture,
    coll(esk25_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_277]) ).

cnf(c_0_282,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_278]) ).

cnf(c_0_283,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_279]),c_0_279])]) ).

cnf(c_0_284,negated_conjecture,
    midp(esk25_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_280]),c_0_281])]) ).

cnf(c_0_285,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_282,c_0_279]) ).

cnf(c_0_286,negated_conjecture,
    midp(esk25_0,X1,X1),
    inference(spm,[status(thm)],[c_0_283,c_0_284]) ).

cnf(c_0_287,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_50,c_0_285]) ).

fof(c_0_288,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).

cnf(c_0_289,negated_conjecture,
    cong(esk25_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_167,c_0_286]) ).

cnf(c_0_290,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_287]) ).

fof(c_0_291,plain,
    ! [X283,X284,X285,X286,X287] :
      ( ~ midp(X286,X283,X284)
      | ~ para(X286,X287,X284,X285)
      | ~ coll(X287,X283,X285)
      | midp(X287,X283,X285) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).

cnf(c_0_292,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_288]) ).

cnf(c_0_293,negated_conjecture,
    cong(X1,X1,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_83,c_0_289]) ).

cnf(c_0_294,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_290]),c_0_290])]) ).

cnf(c_0_295,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_291]) ).

cnf(c_0_296,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_292,c_0_109]) ).

cnf(c_0_297,negated_conjecture,
    cong(X1,X1,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_86,c_0_293]) ).

cnf(c_0_298,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_294])]) ).

cnf(c_0_299,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_294])]) ).

cnf(c_0_300,negated_conjecture,
    para(X1,X1,X1,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_279])]) ).

cnf(c_0_301,negated_conjecture,
    midp(X1,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_298,c_0_297]) ).

cnf(c_0_302,negated_conjecture,
    ( midp(X1,X2,esk25_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_299,c_0_300]) ).

cnf(c_0_303,negated_conjecture,
    midp(X1,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_89,c_0_301]) ).

cnf(c_0_304,negated_conjecture,
    midp(X1,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_302,c_0_303]) ).

cnf(c_0_305,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_299,c_0_279]) ).

cnf(c_0_306,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_283,c_0_304]) ).

cnf(c_0_307,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_305,c_0_306]) ).

fof(c_0_308,plain,
    ! [X278,X279,X280,X281,X282] :
      ( ~ midp(X281,X278,X279)
      | ~ midp(X282,X278,X280)
      | para(X281,X282,X279,X280) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).

cnf(c_0_309,negated_conjecture,
    midp(X1,X2,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_302,c_0_307])]) ).

cnf(c_0_310,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_308]) ).

cnf(c_0_311,negated_conjecture,
    midp(X1,esk25_0,X2),
    inference(spm,[status(thm)],[c_0_89,c_0_309]) ).

cnf(c_0_312,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_311])]) ).

cnf(c_0_313,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_312]),c_0_312])]) ).

cnf(c_0_314,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_313,c_0_311]) ).

cnf(c_0_315,negated_conjecture,
    ~ cong(esk25_0,esk23_0,esk25_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_316,plain,
    cong(X1,X2,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_314])]) ).

cnf(c_0_317,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_316])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 18:22:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  Running first-order model finding
% 0.20/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.9993NSS8rT/E---3.1_23710.p
% 2.26/0.81  # Version: 3.1.0
% 2.26/0.81  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.26/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.26/0.81  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.26/0.81  # Starting new_bool_3 with 300s (1) cores
% 2.26/0.81  # Starting new_bool_1 with 300s (1) cores
% 2.26/0.81  # Starting sh5l with 300s (1) cores
% 2.26/0.81  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 23838 completed with status 0
% 2.26/0.81  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.26/0.81  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.26/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.26/0.81  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.26/0.81  # No SInE strategy applied
% 2.26/0.81  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.26/0.81  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.26/0.81  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.26/0.81  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.26/0.81  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.26/0.81  # Starting new_bool_3 with 136s (1) cores
% 2.26/0.81  # Starting new_bool_1 with 136s (1) cores
% 2.26/0.81  # Starting sh5l with 136s (1) cores
% 2.26/0.81  # SAT001_MinMin_p005000_rr_RG with pid 23849 completed with status 0
% 2.26/0.81  # Result found by SAT001_MinMin_p005000_rr_RG
% 2.26/0.81  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.26/0.81  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.26/0.81  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.26/0.81  # No SInE strategy applied
% 2.26/0.81  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.26/0.81  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.26/0.81  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.26/0.81  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.26/0.81  # Preprocessing time       : 0.003 s
% 2.26/0.81  # Presaturation interreduction done
% 2.26/0.81  
% 2.26/0.81  # Proof found!
% 2.26/0.81  # SZS status Theorem
% 2.26/0.81  # SZS output start CNFRefutation
% See solution above
% 2.26/0.81  # Parsed axioms                        : 95
% 2.26/0.81  # Removed by relevancy pruning/SinE    : 0
% 2.26/0.81  # Initial clauses                      : 120
% 2.26/0.81  # Removed in clause preprocessing      : 0
% 2.26/0.81  # Initial clauses in saturation        : 120
% 2.26/0.81  # Processed clauses                    : 3872
% 2.26/0.81  # ...of these trivial                  : 703
% 2.26/0.81  # ...subsumed                          : 609
% 2.26/0.81  # ...remaining for further processing  : 2560
% 2.26/0.81  # Other redundant clauses eliminated   : 0
% 2.26/0.81  # Clauses deleted for lack of memory   : 0
% 2.26/0.81  # Backward-subsumed                    : 76
% 2.26/0.81  # Backward-rewritten                   : 1805
% 2.26/0.81  # Generated clauses                    : 21062
% 2.26/0.81  # ...of the previous two non-redundant : 14022
% 2.26/0.81  # ...aggressively subsumed             : 0
% 2.26/0.81  # Contextual simplify-reflections      : 3
% 2.26/0.81  # Paramodulations                      : 21062
% 2.26/0.81  # Factorizations                       : 0
% 2.26/0.81  # NegExts                              : 0
% 2.26/0.81  # Equation resolutions                 : 0
% 2.26/0.81  # Disequality decompositions           : 0
% 2.26/0.81  # Total rewrite steps                  : 11376
% 2.26/0.81  # ...of those cached                   : 8677
% 2.26/0.81  # Propositional unsat checks           : 0
% 2.26/0.81  #    Propositional check models        : 0
% 2.26/0.81  #    Propositional check unsatisfiable : 0
% 2.26/0.81  #    Propositional clauses             : 0
% 2.26/0.81  #    Propositional clauses after purity: 0
% 2.26/0.81  #    Propositional unsat core size     : 0
% 2.26/0.81  #    Propositional preprocessing time  : 0.000
% 2.26/0.81  #    Propositional encoding time       : 0.000
% 2.26/0.81  #    Propositional solver time         : 0.000
% 2.26/0.81  #    Success case prop preproc time    : 0.000
% 2.26/0.81  #    Success case prop encoding time   : 0.000
% 2.26/0.81  #    Success case prop solver time     : 0.000
% 2.26/0.81  # Current number of processed clauses  : 560
% 2.26/0.81  #    Positive orientable unit clauses  : 490
% 2.26/0.81  #    Positive unorientable unit clauses: 0
% 2.26/0.81  #    Negative unit clauses             : 0
% 2.26/0.81  #    Non-unit-clauses                  : 70
% 2.26/0.81  # Current number of unprocessed clauses: 10204
% 2.26/0.81  # ...number of literals in the above   : 26247
% 2.26/0.81  # Current number of archived formulas  : 0
% 2.26/0.81  # Current number of archived clauses   : 2000
% 2.26/0.81  # Clause-clause subsumption calls (NU) : 95775
% 2.26/0.81  # Rec. Clause-clause subsumption calls : 75163
% 2.26/0.81  # Non-unit clause-clause subsumptions  : 638
% 2.26/0.81  # Unit Clause-clause subsumption calls : 90701
% 2.26/0.81  # Rewrite failures with RHS unbound    : 0
% 2.26/0.81  # BW rewrite match attempts            : 22780
% 2.26/0.81  # BW rewrite match successes           : 1415
% 2.26/0.81  # Condensation attempts                : 0
% 2.26/0.81  # Condensation successes               : 0
% 2.26/0.81  # Termbank termtop insertions          : 239320
% 2.26/0.81  # Search garbage collected termcells   : 2806
% 2.26/0.81  
% 2.26/0.81  # -------------------------------------------------
% 2.26/0.81  # User time                : 0.282 s
% 2.26/0.81  # System time              : 0.017 s
% 2.26/0.81  # Total time               : 0.299 s
% 2.26/0.81  # Maximum resident set size: 2564 pages
% 2.26/0.81  
% 2.26/0.81  # -------------------------------------------------
% 2.26/0.81  # User time                : 1.399 s
% 2.26/0.81  # System time              : 0.031 s
% 2.26/0.81  # Total time               : 1.429 s
% 2.26/0.81  # Maximum resident set size: 1896 pages
% 2.26/0.81  % E---3.1 exiting
%------------------------------------------------------------------------------