TSTP Solution File: GEO633+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 03:46:41 EDT 2022

% Result   : Theorem 8.39s 2.55s
% Output   : CNFRefutation 8.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  190 (  64 unt;   0 def)
%            Number of atoms       :  415 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  375 ( 150   ~; 147   |;  45   &)
%                                         (   0 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-6 aty)
%            Number of variables   :  603 (  51 sgn 306   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110996,conjecture,
    ! [X1,X2,X3,X19,X20,X17,X13,X14] :
      ( ( midp(X19,X3,X2)
        & eqangle(X20,X1,X1,X2,X3,X1,X1,X19)
        & coll(X20,X2,X3)
        & coll(X17,X1,X19)
        & perp(X13,X17,X1,X2)
        & coll(X13,X1,X2)
        & perp(X14,X17,X1,X3)
        & coll(X14,X1,X3) )
     => perp(X13,X14,X1,X20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).

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

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

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

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

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X1,X2,X3,X4)
        & cong(X3,X4,X5,X6) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

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

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

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

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

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

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

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

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

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

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

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

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

fof(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X4)
        & cyclic(X1,X2,X3,X5) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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

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

fof(c_0_32,negated_conjecture,
    ~ ! [X1,X2,X3,X19,X20,X17,X13,X14] :
        ( ( midp(X19,X3,X2)
          & eqangle(X20,X1,X1,X2,X3,X1,X1,X19)
          & coll(X20,X2,X3)
          & coll(X17,X1,X19)
          & perp(X13,X17,X1,X2)
          & coll(X13,X1,X2)
          & perp(X14,X17,X1,X3)
          & coll(X14,X1,X3) )
       => perp(X13,X14,X1,X20) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110996]) ).

fof(c_0_33,plain,
    ! [X394,X395,X396] :
      ( ~ midp(X394,X395,X396)
      | coll(X394,X395,X396) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_34,negated_conjecture,
    ( midp(esk24_0,esk23_0,esk22_0)
    & eqangle(esk25_0,esk21_0,esk21_0,esk22_0,esk23_0,esk21_0,esk21_0,esk24_0)
    & coll(esk25_0,esk22_0,esk23_0)
    & coll(esk26_0,esk21_0,esk24_0)
    & perp(esk27_0,esk26_0,esk21_0,esk22_0)
    & coll(esk27_0,esk21_0,esk22_0)
    & perp(esk28_0,esk26_0,esk21_0,esk23_0)
    & coll(esk28_0,esk21_0,esk23_0)
    & ~ perp(esk27_0,esk28_0,esk21_0,esk25_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).

fof(c_0_35,plain,
    ! [X24,X25,X26] :
      ( ~ coll(X24,X25,X26)
      | coll(X25,X24,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_36,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    midp(esk24_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_38,plain,
    ! [X21,X22,X23] :
      ( ~ coll(X21,X22,X23)
      | coll(X21,X23,X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_39,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,negated_conjecture,
    coll(esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_41,plain,
    ! [X391,X392,X393] :
      ( ~ midp(X391,X392,X393)
      | cong(X391,X392,X391,X393) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

fof(c_0_42,plain,
    ! [X27,X28,X29,X30] :
      ( ~ coll(X27,X28,X29)
      | ~ coll(X27,X28,X30)
      | coll(X29,X30,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_43,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_45,plain,
    ! [X138,X139,X140,X141] :
      ( ~ cong(X138,X139,X140,X141)
      | cong(X138,X139,X141,X140) ),
    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_41]) ).

cnf(c_0_47,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_48,negated_conjecture,
    coll(esk23_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_49,plain,
    ! [X146,X147,X148,X149,X150,X151] :
      ( ~ cong(X146,X147,X148,X149)
      | ~ cong(X148,X149,X150,X151)
      | cong(X146,X147,X150,X151) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

fof(c_0_50,plain,
    ! [X142,X143,X144,X145] :
      ( ~ cong(X142,X143,X144,X145)
      | cong(X144,X145,X142,X143) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

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(esk24_0,esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_37]) ).

cnf(c_0_53,negated_conjecture,
    ( coll(X1,esk24_0,esk23_0)
    | ~ coll(esk23_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_54,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_55,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    cong(esk24_0,esk23_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_53,c_0_48]) ).

fof(c_0_58,plain,
    ! [X370,X371,X372,X373,X374] :
      ( ~ midp(X374,X370,X371)
      | ~ midp(X374,X372,X373)
      | para(X370,X372,X371,X373) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

fof(c_0_59,plain,
    ! [X461,X462,X463,X464,X465,X466] :
      ( ( midp(esk6_6(X461,X462,X463,X464,X465,X466),X461,X464)
        | ~ midp(X465,X461,X462)
        | ~ midp(X466,X463,X464) )
      & ( para(esk6_6(X461,X462,X463,X464,X465,X466),X465,X462,X464)
        | ~ midp(X465,X461,X462)
        | ~ midp(X466,X463,X464) )
      & ( para(esk6_6(X461,X462,X463,X464,X465,X466),X466,X461,X463)
        | ~ midp(X465,X461,X462)
        | ~ midp(X466,X463,X464) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).

fof(c_0_60,plain,
    ! [X65,X66,X67] :
      ( ~ midp(X67,X66,X65)
      | midp(X67,X65,X66) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_61,negated_conjecture,
    ( cong(X1,X2,esk24_0,esk22_0)
    | ~ cong(X1,X2,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_52]) ).

cnf(c_0_62,negated_conjecture,
    cong(esk22_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    ( coll(X1,esk22_0,esk24_0)
    | ~ coll(esk24_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_40]) ).

cnf(c_0_64,negated_conjecture,
    coll(esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_43,c_0_57]) ).

cnf(c_0_65,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_66,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_59]) ).

cnf(c_0_67,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_68,plain,
    ! [X388,X389,X390] :
      ( ~ cong(X388,X389,X388,X390)
      | ~ coll(X388,X389,X390)
      | midp(X388,X389,X390) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_69,negated_conjecture,
    cong(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,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_65,c_0_66]) ).

cnf(c_0_72,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_67,c_0_66]) ).

cnf(c_0_73,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    cong(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_51,c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    coll(esk22_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_39,c_0_70]) ).

cnf(c_0_76,plain,
    ( para(X1,X2,X2,X1)
    | ~ midp(X3,X4,X1)
    | ~ midp(X5,X2,X6) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_77,negated_conjecture,
    midp(esk22_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).

cnf(c_0_78,negated_conjecture,
    midp(esk24_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_67,c_0_37]) ).

fof(c_0_79,plain,
    ! [X31,X32,X33,X34] :
      ( ~ para(X31,X32,X33,X34)
      | para(X31,X32,X34,X33) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_80,negated_conjecture,
    ( para(esk24_0,X1,X1,esk24_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    ( para(esk22_0,X1,X1,esk22_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_37]) ).

cnf(c_0_82,negated_conjecture,
    coll(esk26_0,esk21_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_83,negated_conjecture,
    ( para(esk23_0,X1,X1,esk23_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_78]) ).

fof(c_0_84,plain,
    ! [X375,X376,X377,X378,X379] :
      ( ~ midp(X379,X375,X376)
      | ~ para(X375,X377,X376,X378)
      | ~ para(X375,X378,X376,X377)
      | midp(X379,X377,X378) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_85,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_86,negated_conjecture,
    para(esk24_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_80,c_0_37]) ).

fof(c_0_87,plain,
    ! [X102,X103,X104,X105,X106,X107,X108,X109] :
      ( ~ eqangle(X102,X103,X104,X105,X106,X107,X108,X109)
      | eqangle(X104,X105,X102,X103,X108,X109,X106,X107) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_88,plain,
    ! [X256,X257,X258,X259,X260,X261] :
      ( ~ para(X256,X257,X258,X259)
      | eqangle(X256,X257,X260,X261,X258,X259,X260,X261) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_89,negated_conjecture,
    para(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_81,c_0_77]) ).

cnf(c_0_90,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_63,c_0_40]) ).

cnf(c_0_91,negated_conjecture,
    ( coll(X1,esk24_0,esk26_0)
    | ~ coll(esk26_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    para(esk23_0,esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_78]) ).

cnf(c_0_93,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_84]) ).

cnf(c_0_94,negated_conjecture,
    para(esk24_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

fof(c_0_95,plain,
    ! [X250,X251,X252,X253,X254,X255] :
      ( ~ eqangle(X250,X251,X254,X255,X252,X253,X254,X255)
      | para(X250,X251,X252,X253) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_96,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_87]) ).

cnf(c_0_97,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_98,plain,
    ( para(X1,X1,X2,X2)
    | ~ midp(X3,X4,X2)
    | ~ midp(X5,X1,X6) ),
    inference(spm,[status(thm)],[c_0_71,c_0_66]) ).

cnf(c_0_99,negated_conjecture,
    para(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_85,c_0_89]) ).

cnf(c_0_100,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_46,c_0_78]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_43,c_0_90]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk24_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_91,c_0_82]) ).

cnf(c_0_103,negated_conjecture,
    para(esk23_0,esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_85,c_0_92]) ).

cnf(c_0_104,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_93,c_0_94]),c_0_94])]) ).

cnf(c_0_105,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_106,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_107,negated_conjecture,
    ( para(X1,X1,esk24_0,esk24_0)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_98,c_0_77]) ).

cnf(c_0_108,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_93,c_0_99]),c_0_99])]) ).

cnf(c_0_109,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_61,c_0_100]) ).

cnf(c_0_110,negated_conjecture,
    coll(esk24_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_39,c_0_101]) ).

cnf(c_0_111,negated_conjecture,
    coll(esk24_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_43,c_0_102]) ).

fof(c_0_112,plain,
    ! [X427,X428,X429,X430,X431,X432,X433,X434] :
      ( ~ eqratio(X427,X428,X429,X430,X431,X432,X433,X434)
      | ~ cong(X431,X432,X433,X434)
      | cong(X427,X428,X429,X430) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_113,plain,
    ! [X397,X398,X399,X400,X401,X402] :
      ( ~ midp(X401,X397,X398)
      | ~ midp(X402,X399,X400)
      | eqratio(X401,X397,X397,X398,X402,X399,X399,X400) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_114,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_93,c_0_103]),c_0_103])]) ).

cnf(c_0_115,negated_conjecture,
    midp(esk22_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_104,c_0_77]) ).

cnf(c_0_116,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_117,negated_conjecture,
    para(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_107,c_0_77]) ).

cnf(c_0_118,negated_conjecture,
    ( cong(X1,esk24_0,X1,esk24_0)
    | ~ midp(X1,esk22_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_108]) ).

cnf(c_0_119,negated_conjecture,
    midp(esk24_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_109]),c_0_110])]) ).

cnf(c_0_120,negated_conjecture,
    ( coll(X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_111]) ).

fof(c_0_121,plain,
    ! [X385,X386,X387] :
      ( ~ para(X385,X386,X385,X387)
      | coll(X385,X386,X387) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_122,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_112]) ).

cnf(c_0_123,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_113]) ).

cnf(c_0_124,negated_conjecture,
    midp(esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_125,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_126,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_127,negated_conjecture,
    coll(esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_120,c_0_111]) ).

cnf(c_0_128,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_129,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_122,c_0_123]) ).

cnf(c_0_130,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_124]) ).

cnf(c_0_131,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_125]),c_0_125])]) ).

cnf(c_0_132,negated_conjecture,
    midp(esk24_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_126]),c_0_127])]) ).

cnf(c_0_133,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_128,c_0_125]) ).

cnf(c_0_134,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_129,c_0_130]),c_0_124])]) ).

cnf(c_0_135,negated_conjecture,
    midp(esk24_0,X1,X1),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_136,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_39,c_0_133]) ).

fof(c_0_137,plain,
    ! [X411,X412,X413,X414,X415,X416,X417,X418] :
      ( ~ eqangle(X411,X412,X413,X414,X415,X416,X417,X418)
      | ~ para(X415,X416,X417,X418)
      | para(X411,X412,X413,X414) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

fof(c_0_138,plain,
    ! [X290,X291,X292] :
      ( ~ cong(X292,X290,X292,X291)
      | eqangle(X292,X290,X290,X291,X290,X291,X292,X291) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_139,negated_conjecture,
    cong(esk24_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_140,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_43,c_0_136]) ).

fof(c_0_141,plain,
    ! [X285,X286,X287,X288,X289] :
      ( ~ midp(X288,X285,X286)
      | ~ para(X288,X289,X286,X287)
      | ~ coll(X289,X285,X287)
      | midp(X289,X285,X287) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_142,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_137]) ).

cnf(c_0_143,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_144,negated_conjecture,
    cong(X1,X1,esk24_0,X1),
    inference(spm,[status(thm)],[c_0_55,c_0_139]) ).

cnf(c_0_145,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_140]),c_0_140])]) ).

fof(c_0_146,plain,
    ! [X270,X271,X272,X273] :
      ( ~ eqangle(X272,X270,X272,X271,X273,X270,X273,X271)
      | ~ coll(X272,X273,X271)
      | cyclic(X270,X271,X272,X273) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

cnf(c_0_147,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_141]) ).

cnf(c_0_148,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_149,negated_conjecture,
    cong(X1,X1,X1,esk24_0),
    inference(spm,[status(thm)],[c_0_51,c_0_144]) ).

cnf(c_0_150,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_145])]) ).

cnf(c_0_151,plain,
    ( cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ coll(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

cnf(c_0_152,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_145])]) ).

cnf(c_0_153,negated_conjecture,
    para(X1,X1,X1,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_125])]) ).

cnf(c_0_154,negated_conjecture,
    midp(X1,X1,esk24_0),
    inference(spm,[status(thm)],[c_0_150,c_0_149]) ).

fof(c_0_155,plain,
    ! [X81,X82,X83,X84] :
      ( ~ cyclic(X81,X82,X83,X84)
      | cyclic(X81,X83,X82,X84) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_156,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_151,c_0_97]) ).

cnf(c_0_157,negated_conjecture,
    ( midp(X1,X2,esk24_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_158,negated_conjecture,
    midp(X1,esk24_0,X1),
    inference(spm,[status(thm)],[c_0_67,c_0_154]) ).

fof(c_0_159,plain,
    ! [X77,X78,X79,X80] :
      ( ~ cyclic(X77,X78,X79,X80)
      | cyclic(X77,X78,X80,X79) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_160,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_155]) ).

cnf(c_0_161,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_125])]),c_0_145])]) ).

cnf(c_0_162,negated_conjecture,
    midp(X1,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

fof(c_0_163,plain,
    ! [X85,X86,X87,X88] :
      ( ~ cyclic(X85,X86,X87,X88)
      | cyclic(X86,X85,X87,X88) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_164,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_165,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_166,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_152,c_0_125]) ).

cnf(c_0_167,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_131,c_0_162]) ).

fof(c_0_168,plain,
    ! [X274,X275,X276,X277,X278,X279] :
      ( ~ cyclic(X274,X275,X276,X277)
      | ~ cyclic(X274,X275,X276,X278)
      | ~ cyclic(X274,X275,X276,X279)
      | ~ eqangle(X276,X274,X276,X275,X279,X277,X279,X278)
      | cong(X274,X275,X277,X278) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).

fof(c_0_169,plain,
    ! [X89,X90,X91,X92,X93] :
      ( ~ cyclic(X89,X90,X91,X92)
      | ~ cyclic(X89,X90,X91,X93)
      | cyclic(X90,X91,X92,X93) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_170,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_171,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_172,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_173,plain,
    ( cong(X1,X2,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X6)
    | ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_174,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_175,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

fof(c_0_176,plain,
    ! [X280,X281,X282,X283,X284] :
      ( ~ midp(X283,X280,X281)
      | ~ midp(X284,X280,X282)
      | para(X283,X284,X281,X282) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_177,negated_conjecture,
    midp(X1,X2,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_172])]) ).

cnf(c_0_178,plain,
    ( cong(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X4,X4)
    | ~ cyclic(X1,X2,X4,X2)
    | ~ cyclic(X1,X2,X4,X3)
    | ~ para(X4,X1,X4,X3) ),
    inference(spm,[status(thm)],[c_0_173,c_0_97]) ).

cnf(c_0_179,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_175])]) ).

cnf(c_0_180,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

cnf(c_0_181,negated_conjecture,
    midp(X1,esk24_0,X2),
    inference(spm,[status(thm)],[c_0_67,c_0_177]) ).

fof(c_0_182,plain,
    ! [X332,X333,X334,X335] :
      ( ~ cong(X332,X334,X333,X334)
      | ~ cong(X332,X335,X333,X335)
      | perp(X332,X333,X334,X335) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_183,plain,
    ( cong(X1,X2,X3,X2)
    | ~ para(X4,X1,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_161])]),c_0_179]),c_0_179])]) ).

cnf(c_0_184,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_181])]) ).

cnf(c_0_185,plain,
    ( perp(X1,X3,X2,X4)
    | ~ cong(X1,X2,X3,X2)
    | ~ cong(X1,X4,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_186,plain,
    cong(X1,X2,X3,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]) ).

cnf(c_0_187,negated_conjecture,
    ~ perp(esk27_0,esk28_0,esk21_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_188,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),c_0_186])]) ).

cnf(c_0_189,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO633+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 02:27:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.39/2.55  # ENIGMATIC: Solved by autoschedule:
% 8.39/2.55  # No SInE strategy applied
% 8.39/2.55  # Trying AutoSched0 for 150 seconds
% 8.39/2.55  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.39/2.55  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.39/2.55  #
% 8.39/2.55  # Preprocessing time       : 0.018 s
% 8.39/2.55  # Presaturation interreduction done
% 8.39/2.55  
% 8.39/2.55  # Proof found!
% 8.39/2.55  # SZS status Theorem
% 8.39/2.55  # SZS output start CNFRefutation
% See solution above
% 8.39/2.55  # Training examples: 0 positive, 0 negative
% 8.39/2.55  
% 8.39/2.55  # -------------------------------------------------
% 8.39/2.55  # User time                : 0.191 s
% 8.39/2.55  # System time              : 0.009 s
% 8.39/2.55  # Total time               : 0.199 s
% 8.39/2.55  # Maximum resident set size: 7120 pages
% 8.39/2.55  
%------------------------------------------------------------------------------