TSTP Solution File: GEO604+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO604+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:33:08 EDT 2023

% Result   : Theorem 2.49s 0.76s
% Output   : CNFRefutation 2.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  195 (  82 unt;   0 def)
%            Number of atoms       :  382 (   0 equ)
%            Maximal formula atoms :    9 (   1 avg)
%            Number of connectives :  316 ( 129   ~; 126   |;  34   &)
%                                         (   0 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-6 aty)
%            Number of variables   :  513 (  48 sgn; 250   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618066,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13] :
      ( ( perp(X4,X3,X1,X2)
        & coll(X4,X1,X2)
        & perp(X2,X3,X1,X5)
        & coll(X5,X3,X4)
        & midp(X6,X1,X5)
        & midp(X13,X3,X2) )
     => perp(X4,X13,X4,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.p',exemplo6GDDFULL618066) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.p',ruleD69) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.p',ruleD2) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.p',ruleD1) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.p',ruleD11) ).

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.7AK4kcxPXD/E---3.1_26407.p',ruleD3) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.p',ruleD68) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.p',ruleD23) ).

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.7AK4kcxPXD/E---3.1_26407.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.7AK4kcxPXD/E---3.1_26407.p',ruleD24) ).

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.7AK4kcxPXD/E---3.1_26407.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.7AK4kcxPXD/E---3.1_26407.p',ruleX6) ).

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.7AK4kcxPXD/E---3.1_26407.p',ruleD67) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.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.7AK4kcxPXD/E---3.1_26407.p',ruleD64) ).

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.7AK4kcxPXD/E---3.1_26407.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.7AK4kcxPXD/E---3.1_26407.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.7AK4kcxPXD/E---3.1_26407.p',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/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.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.7AK4kcxPXD/E---3.1_26407.p',ruleD70) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.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.7AK4kcxPXD/E---3.1_26407.p',ruleD73) ).

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.7AK4kcxPXD/E---3.1_26407.p',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/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.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.7AK4kcxPXD/E---3.1_26407.p',ruleD44) ).

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.7AK4kcxPXD/E---3.1_26407.p',ruleD56) ).

fof(c_0_26,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13] :
        ( ( perp(X4,X3,X1,X2)
          & coll(X4,X1,X2)
          & perp(X2,X3,X1,X5)
          & coll(X5,X3,X4)
          & midp(X6,X1,X5)
          & midp(X13,X3,X2) )
       => perp(X4,X13,X4,X6) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL618066]) ).

fof(c_0_27,plain,
    ! [X392,X393,X394] :
      ( ~ midp(X392,X393,X394)
      | coll(X392,X393,X394) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_28,negated_conjecture,
    ( perp(esk24_0,esk23_0,esk21_0,esk22_0)
    & coll(esk24_0,esk21_0,esk22_0)
    & perp(esk22_0,esk23_0,esk21_0,esk25_0)
    & coll(esk25_0,esk23_0,esk24_0)
    & midp(esk26_0,esk21_0,esk25_0)
    & midp(esk27_0,esk23_0,esk22_0)
    & ~ perp(esk24_0,esk27_0,esk24_0,esk26_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])]) ).

fof(c_0_29,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_30,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    midp(esk26_0,esk21_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_32,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_33,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    coll(esk26_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

fof(c_0_35,plain,
    ! [X63,X64,X65] :
      ( ~ midp(X65,X64,X63)
      | midp(X65,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_36,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_37,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    coll(esk21_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    midp(esk27_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

fof(c_0_40,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_41,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_42,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    coll(esk21_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk27_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_30,c_0_39]) ).

fof(c_0_45,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_46,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    midp(esk27_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_41,c_0_39]) ).

cnf(c_0_48,negated_conjecture,
    ( coll(X1,esk26_0,esk21_0)
    | ~ coll(esk21_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk23_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_33,c_0_44]) ).

fof(c_0_50,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])]) ).

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

cnf(c_0_52,negated_conjecture,
    cong(esk27_0,esk22_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk27_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_44]) ).

cnf(c_0_54,negated_conjecture,
    cong(esk26_0,esk21_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_46,c_0_31]) ).

fof(c_0_55,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_56,negated_conjecture,
    coll(esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_43]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk23_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_37,c_0_49]) ).

cnf(c_0_58,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    cong(esk27_0,esk22_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_60,negated_conjecture,
    ( coll(X1,esk23_0,esk27_0)
    | ~ coll(esk27_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_53]) ).

fof(c_0_61,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])]) ).

fof(c_0_62,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_63,negated_conjecture,
    cong(esk26_0,esk21_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_51,c_0_54]) ).

cnf(c_0_64,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_65,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(esk26_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_34]) ).

cnf(c_0_66,negated_conjecture,
    coll(esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_56]) ).

cnf(c_0_67,negated_conjecture,
    ( coll(X1,esk27_0,esk23_0)
    | ~ coll(esk23_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_57]) ).

cnf(c_0_68,negated_conjecture,
    ( cong(X1,X2,esk23_0,esk27_0)
    | ~ cong(X1,X2,esk27_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_69,negated_conjecture,
    cong(esk27_0,esk23_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_39]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk23_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_60,c_0_53]) ).

cnf(c_0_71,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_72,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_62]) ).

fof(c_0_73,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_74,negated_conjecture,
    ( cong(X1,X2,esk25_0,esk26_0)
    | ~ cong(X1,X2,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_63]) ).

cnf(c_0_75,negated_conjecture,
    cong(esk25_0,esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_64,c_0_63]) ).

cnf(c_0_76,negated_conjecture,
    coll(esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk27_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_67,c_0_57]) ).

cnf(c_0_78,negated_conjecture,
    cong(esk27_0,esk23_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk23_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_70]) ).

cnf(c_0_80,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_71,c_0_72]) ).

cnf(c_0_81,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_41,c_0_72]) ).

cnf(c_0_82,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_83,negated_conjecture,
    cong(esk25_0,esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk25_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_33,c_0_76]) ).

cnf(c_0_85,negated_conjecture,
    cong(esk23_0,esk27_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_64,c_0_59]) ).

cnf(c_0_86,negated_conjecture,
    coll(esk27_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_37,c_0_77]) ).

cnf(c_0_87,negated_conjecture,
    cong(esk27_0,esk23_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_51,c_0_78]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk27_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_33,c_0_79]) ).

cnf(c_0_89,plain,
    ( para(X1,X2,X2,X1)
    | ~ midp(X3,X4,X1)
    | ~ midp(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_90,negated_conjecture,
    midp(esk25_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).

cnf(c_0_91,negated_conjecture,
    cong(esk23_0,esk27_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_68,c_0_85]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk23_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_33,c_0_86]) ).

cnf(c_0_93,negated_conjecture,
    midp(esk27_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_87]),c_0_88])]) ).

fof(c_0_94,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])]) ).

cnf(c_0_95,negated_conjecture,
    ( para(esk26_0,X1,X1,esk26_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    ( para(esk22_0,X1,X1,esk22_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_89,c_0_39]) ).

cnf(c_0_97,negated_conjecture,
    midp(esk23_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_91]),c_0_92])]) ).

cnf(c_0_98,negated_conjecture,
    ( coll(X1,esk22_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_44]) ).

cnf(c_0_99,negated_conjecture,
    midp(esk26_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_41,c_0_31]) ).

cnf(c_0_100,negated_conjecture,
    ( para(esk23_0,X1,X1,esk23_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_89,c_0_93]) ).

fof(c_0_101,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_102,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_103,negated_conjecture,
    para(esk26_0,esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_95,c_0_39]) ).

fof(c_0_104,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_105,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_106,negated_conjecture,
    para(esk22_0,esk27_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk22_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_98,c_0_44]) ).

cnf(c_0_108,negated_conjecture,
    para(esk22_0,esk25_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_96,c_0_99]) ).

cnf(c_0_109,negated_conjecture,
    para(esk23_0,esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_100,c_0_47]) ).

cnf(c_0_110,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_101]) ).

cnf(c_0_111,negated_conjecture,
    para(esk26_0,esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

fof(c_0_112,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_113,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_104]) ).

cnf(c_0_114,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_115,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_80,c_0_72]) ).

cnf(c_0_116,negated_conjecture,
    para(esk22_0,esk27_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_102,c_0_106]) ).

cnf(c_0_117,negated_conjecture,
    ( cong(X1,X2,esk27_0,esk22_0)
    | ~ cong(X1,X2,esk27_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_69]) ).

cnf(c_0_118,negated_conjecture,
    coll(esk22_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_37,c_0_107]) ).

cnf(c_0_119,negated_conjecture,
    para(esk22_0,esk25_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_102,c_0_108]) ).

cnf(c_0_120,negated_conjecture,
    para(esk23_0,esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_102,c_0_109]) ).

cnf(c_0_121,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_111])]) ).

cnf(c_0_122,negated_conjecture,
    para(esk26_0,esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_95,c_0_99]) ).

cnf(c_0_123,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_124,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_125,negated_conjecture,
    ( para(X1,X1,esk27_0,esk27_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_115,c_0_97]) ).

cnf(c_0_126,negated_conjecture,
    ( midp(X1,esk27_0,esk27_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_116]),c_0_116])]) ).

cnf(c_0_127,negated_conjecture,
    cong(esk27_0,esk22_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_117,c_0_52]) ).

cnf(c_0_128,negated_conjecture,
    coll(esk27_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_33,c_0_118]) ).

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

cnf(c_0_131,negated_conjecture,
    ( midp(X1,esk25_0,esk25_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_119]),c_0_119])]) ).

cnf(c_0_132,negated_conjecture,
    ( midp(X1,esk22_0,esk22_0)
    | ~ midp(X1,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_120]),c_0_120])]) ).

cnf(c_0_133,negated_conjecture,
    midp(esk25_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_121,c_0_90]) ).

cnf(c_0_134,negated_conjecture,
    para(esk26_0,esk25_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_102,c_0_122]) ).

cnf(c_0_135,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_136,negated_conjecture,
    para(esk27_0,esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_125,c_0_97]) ).

cnf(c_0_137,negated_conjecture,
    ( cong(X1,esk27_0,X1,esk27_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_126]) ).

cnf(c_0_138,negated_conjecture,
    midp(esk27_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_127]),c_0_128])]) ).

cnf(c_0_139,negated_conjecture,
    ( coll(X1,esk27_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_86]) ).

fof(c_0_140,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_141,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_142,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_143,negated_conjecture,
    ( cong(X1,esk25_0,X1,esk25_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_131]) ).

cnf(c_0_144,negated_conjecture,
    midp(esk25_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_145,negated_conjecture,
    ( midp(X1,esk25_0,esk25_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_134]),c_0_134])]) ).

cnf(c_0_146,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_147,negated_conjecture,
    cong(esk27_0,esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_148,negated_conjecture,
    coll(esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_139,c_0_86]) ).

cnf(c_0_149,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_150,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_141,c_0_142]) ).

cnf(c_0_151,negated_conjecture,
    cong(esk25_0,esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_152,negated_conjecture,
    midp(esk25_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_145,c_0_90]) ).

cnf(c_0_153,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_146]),c_0_146])]) ).

cnf(c_0_154,negated_conjecture,
    midp(esk27_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_147]),c_0_148])]) ).

cnf(c_0_155,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_149,c_0_146]) ).

cnf(c_0_156,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_150,c_0_151]),c_0_152])]) ).

cnf(c_0_157,negated_conjecture,
    midp(esk27_0,X1,X1),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_158,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_33,c_0_155]) ).

fof(c_0_159,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_160,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_161,negated_conjecture,
    cong(esk27_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_162,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_158]) ).

fof(c_0_163,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_164,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_159]) ).

cnf(c_0_165,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_166,negated_conjecture,
    cong(X1,X1,esk27_0,X1),
    inference(spm,[status(thm)],[c_0_64,c_0_161]) ).

cnf(c_0_167,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_162]),c_0_162])]) ).

cnf(c_0_168,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_163]) ).

cnf(c_0_169,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_170,negated_conjecture,
    cong(X1,X1,X1,esk27_0),
    inference(spm,[status(thm)],[c_0_51,c_0_166]) ).

cnf(c_0_171,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_167])]) ).

cnf(c_0_172,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_167])]) ).

cnf(c_0_173,negated_conjecture,
    para(X1,X1,X1,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_146])]) ).

cnf(c_0_174,negated_conjecture,
    midp(X1,X1,esk27_0),
    inference(spm,[status(thm)],[c_0_171,c_0_170]) ).

cnf(c_0_175,negated_conjecture,
    ( midp(X1,X2,esk27_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_176,negated_conjecture,
    midp(X1,esk27_0,X1),
    inference(spm,[status(thm)],[c_0_41,c_0_174]) ).

cnf(c_0_177,negated_conjecture,
    midp(X1,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_178,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_172,c_0_146]) ).

cnf(c_0_179,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_153,c_0_177]) ).

cnf(c_0_180,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

fof(c_0_181,plain,
    ! [X278,X279,X280,X281,X282] :
      ( ~ midp(X281,X278,X279)
      | ~ midp(X282,X278,X280)
      | para(X281,X282,X279,X280) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_182,negated_conjecture,
    midp(X1,X2,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_180])]) ).

cnf(c_0_183,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_184,negated_conjecture,
    midp(X1,esk27_0,X2),
    inference(spm,[status(thm)],[c_0_41,c_0_182]) ).

cnf(c_0_185,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_184])]) ).

cnf(c_0_186,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_185]),c_0_185])]) ).

cnf(c_0_187,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_186,c_0_184]) ).

fof(c_0_188,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_189,negated_conjecture,
    cong(X1,X2,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_187])]) ).

cnf(c_0_190,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_191,negated_conjecture,
    cong(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_189]) ).

cnf(c_0_192,negated_conjecture,
    ~ perp(esk24_0,esk27_0,esk24_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_193,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191]),c_0_191])]) ).

cnf(c_0_194,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : GEO604+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n007.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 06:20:55 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.7AK4kcxPXD/E---3.1_26407.p
% 2.49/0.76  # Version: 3.1pre001
% 2.49/0.76  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.49/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.49/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.49/0.76  # Starting new_bool_3 with 300s (1) cores
% 2.49/0.76  # Starting new_bool_1 with 300s (1) cores
% 2.49/0.76  # Starting sh5l with 300s (1) cores
% 2.49/0.76  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 26485 completed with status 0
% 2.49/0.76  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.49/0.76  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.49/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.49/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.49/0.76  # No SInE strategy applied
% 2.49/0.76  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.49/0.76  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.49/0.76  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.49/0.76  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.49/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.49/0.76  # Starting new_bool_3 with 136s (1) cores
% 2.49/0.76  # Starting new_bool_1 with 136s (1) cores
% 2.49/0.76  # Starting sh5l with 136s (1) cores
% 2.49/0.76  # SAT001_MinMin_p005000_rr_RG with pid 26492 completed with status 0
% 2.49/0.76  # Result found by SAT001_MinMin_p005000_rr_RG
% 2.49/0.76  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.49/0.76  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.49/0.76  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.49/0.76  # No SInE strategy applied
% 2.49/0.76  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.49/0.76  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.49/0.76  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.49/0.76  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 2.49/0.76  # Preprocessing time       : 0.002 s
% 2.49/0.76  # Presaturation interreduction done
% 2.49/0.76  
% 2.49/0.76  # Proof found!
% 2.49/0.76  # SZS status Theorem
% 2.49/0.76  # SZS output start CNFRefutation
% See solution above
% 2.66/0.76  # Parsed axioms                        : 95
% 2.66/0.76  # Removed by relevancy pruning/SinE    : 0
% 2.66/0.76  # Initial clauses                      : 120
% 2.66/0.76  # Removed in clause preprocessing      : 0
% 2.66/0.76  # Initial clauses in saturation        : 120
% 2.66/0.76  # Processed clauses                    : 3011
% 2.66/0.76  # ...of these trivial                  : 399
% 2.66/0.76  # ...subsumed                          : 500
% 2.66/0.76  # ...remaining for further processing  : 2112
% 2.66/0.76  # Other redundant clauses eliminated   : 0
% 2.66/0.76  # Clauses deleted for lack of memory   : 0
% 2.66/0.76  # Backward-subsumed                    : 58
% 2.66/0.76  # Backward-rewritten                   : 1871
% 2.66/0.76  # Generated clauses                    : 16646
% 2.66/0.76  # ...of the previous two non-redundant : 9994
% 2.66/0.76  # ...aggressively subsumed             : 0
% 2.66/0.76  # Contextual simplify-reflections      : 3
% 2.66/0.76  # Paramodulations                      : 16646
% 2.66/0.76  # Factorizations                       : 0
% 2.66/0.76  # NegExts                              : 0
% 2.66/0.76  # Equation resolutions                 : 0
% 2.66/0.76  # Total rewrite steps                  : 10014
% 2.66/0.76  # Propositional unsat checks           : 0
% 2.66/0.76  #    Propositional check models        : 0
% 2.66/0.76  #    Propositional check unsatisfiable : 0
% 2.66/0.76  #    Propositional clauses             : 0
% 2.66/0.76  #    Propositional clauses after purity: 0
% 2.66/0.76  #    Propositional unsat core size     : 0
% 2.66/0.76  #    Propositional preprocessing time  : 0.000
% 2.66/0.76  #    Propositional encoding time       : 0.000
% 2.66/0.76  #    Propositional solver time         : 0.000
% 2.66/0.76  #    Success case prop preproc time    : 0.000
% 2.66/0.76  #    Success case prop encoding time   : 0.000
% 2.66/0.76  #    Success case prop solver time     : 0.000
% 2.66/0.76  # Current number of processed clauses  : 64
% 2.66/0.76  #    Positive orientable unit clauses  : 25
% 2.66/0.76  #    Positive unorientable unit clauses: 0
% 2.66/0.76  #    Negative unit clauses             : 0
% 2.66/0.76  #    Non-unit-clauses                  : 39
% 2.66/0.76  # Current number of unprocessed clauses: 6994
% 2.66/0.76  # ...number of literals in the above   : 20644
% 2.66/0.76  # Current number of archived formulas  : 0
% 2.66/0.76  # Current number of archived clauses   : 2048
% 2.66/0.76  # Clause-clause subsumption calls (NU) : 95682
% 2.66/0.76  # Rec. Clause-clause subsumption calls : 69392
% 2.66/0.76  # Non-unit clause-clause subsumptions  : 547
% 2.66/0.76  # Unit Clause-clause subsumption calls : 173108
% 2.66/0.76  # Rewrite failures with RHS unbound    : 0
% 2.66/0.76  # BW rewrite match attempts            : 12687
% 2.66/0.76  # BW rewrite match successes           : 1487
% 2.66/0.76  # Condensation attempts                : 0
% 2.66/0.76  # Condensation successes               : 0
% 2.66/0.76  # Termbank termtop insertions          : 181022
% 2.66/0.76  
% 2.66/0.76  # -------------------------------------------------
% 2.66/0.76  # User time                : 0.284 s
% 2.66/0.76  # System time              : 0.018 s
% 2.66/0.76  # Total time               : 0.301 s
% 2.66/0.76  # Maximum resident set size: 2572 pages
% 2.66/0.76  
% 2.66/0.76  # -------------------------------------------------
% 2.66/0.76  # User time                : 1.423 s
% 2.66/0.76  # System time              : 0.035 s
% 2.66/0.76  # Total time               : 1.458 s
% 2.66/0.76  # Maximum resident set size: 1876 pages
% 2.66/0.76  % E---3.1 exiting
% 2.66/0.76  % E---3.1 exiting
%------------------------------------------------------------------------------