TSTP Solution File: GEO565+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO565+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 03:46:19 EDT 2022

% Result   : Theorem 31.89s 5.41s
% Output   : CNFRefutation 31.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  105 (  30 unt;   0 def)
%            Number of atoms       :  303 (   0 equ)
%            Maximal formula atoms :   28 (   2 avg)
%            Number of connectives :  285 (  87   ~;  84   |;  93   &)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :   21 (  21 usr;  20 con; 0-6 aty)
%            Number of variables   :  390 (  22 sgn 214   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214027,conjecture,
    ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ( perp(X1,X2,X3,X14)
        & perp(X1,X3,X2,X14)
        & perp(X2,X3,X1,X14)
        & midp(X22,X1,X2)
        & perp(X1,X2,X22,X8)
        & midp(X23,X1,X3)
        & perp(X1,X3,X23,X8)
        & midp(X24,X2,X3)
        & perp(X2,X3,X24,X8)
        & midp(X25,X1,X14)
        & perp(X1,X14,X25,X19)
        & midp(X26,X1,X2)
        & perp(X1,X2,X26,X19)
        & midp(X27,X14,X2)
        & perp(X14,X2,X27,X19)
        & midp(X28,X2,X14)
        & perp(X2,X14,X28,X20)
        & midp(X29,X2,X3)
        & perp(X2,X3,X29,X20)
        & midp(X30,X14,X3)
        & perp(X14,X3,X30,X20)
        & midp(X31,X3,X14)
        & perp(X3,X14,X31,X21)
        & midp(X32,X3,X1)
        & perp(X3,X1,X32,X21)
        & midp(X33,X14,X1)
        & perp(X14,X1,X33,X21) )
     => cong(X14,X20,X14,X21) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214027) ).

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/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X1,X2,X3,X4)
        & cong(X3,X4,X5,X6) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

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/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

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/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

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/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

fof(c_0_20,negated_conjecture,
    ~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
        ( ( perp(X1,X2,X3,X14)
          & perp(X1,X3,X2,X14)
          & perp(X2,X3,X1,X14)
          & midp(X22,X1,X2)
          & perp(X1,X2,X22,X8)
          & midp(X23,X1,X3)
          & perp(X1,X3,X23,X8)
          & midp(X24,X2,X3)
          & perp(X2,X3,X24,X8)
          & midp(X25,X1,X14)
          & perp(X1,X14,X25,X19)
          & midp(X26,X1,X2)
          & perp(X1,X2,X26,X19)
          & midp(X27,X14,X2)
          & perp(X14,X2,X27,X19)
          & midp(X28,X2,X14)
          & perp(X2,X14,X28,X20)
          & midp(X29,X2,X3)
          & perp(X2,X3,X29,X20)
          & midp(X30,X14,X3)
          & perp(X14,X3,X30,X20)
          & midp(X31,X3,X14)
          & perp(X3,X14,X31,X21)
          & midp(X32,X3,X1)
          & perp(X3,X1,X32,X21)
          & midp(X33,X14,X1)
          & perp(X14,X1,X33,X21) )
       => cong(X14,X20,X14,X21) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL214027]) ).

fof(c_0_21,plain,
    ! [X115,X116,X117,X118,X119,X120,X121,X122] :
      ( ~ eqangle(X115,X116,X117,X118,X119,X120,X121,X122)
      | eqangle(X117,X118,X115,X116,X121,X122,X119,X120) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_22,plain,
    ! [X269,X270,X271,X272,X273,X274] :
      ( ~ para(X269,X270,X271,X272)
      | eqangle(X269,X270,X273,X274,X271,X272,X273,X274) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_23,plain,
    ! [X383,X384,X385,X386,X387] :
      ( ~ midp(X387,X383,X384)
      | ~ midp(X387,X385,X386)
      | para(X383,X385,X384,X386) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

fof(c_0_24,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk23_0,esk24_0)
    & perp(esk21_0,esk23_0,esk22_0,esk24_0)
    & perp(esk22_0,esk23_0,esk21_0,esk24_0)
    & midp(esk29_0,esk21_0,esk22_0)
    & perp(esk21_0,esk22_0,esk29_0,esk25_0)
    & midp(esk30_0,esk21_0,esk23_0)
    & perp(esk21_0,esk23_0,esk30_0,esk25_0)
    & midp(esk31_0,esk22_0,esk23_0)
    & perp(esk22_0,esk23_0,esk31_0,esk25_0)
    & midp(esk32_0,esk21_0,esk24_0)
    & perp(esk21_0,esk24_0,esk32_0,esk26_0)
    & midp(esk33_0,esk21_0,esk22_0)
    & perp(esk21_0,esk22_0,esk33_0,esk26_0)
    & midp(esk34_0,esk24_0,esk22_0)
    & perp(esk24_0,esk22_0,esk34_0,esk26_0)
    & midp(esk35_0,esk22_0,esk24_0)
    & perp(esk22_0,esk24_0,esk35_0,esk27_0)
    & midp(esk36_0,esk22_0,esk23_0)
    & perp(esk22_0,esk23_0,esk36_0,esk27_0)
    & midp(esk37_0,esk24_0,esk23_0)
    & perp(esk24_0,esk23_0,esk37_0,esk27_0)
    & midp(esk38_0,esk23_0,esk24_0)
    & perp(esk23_0,esk24_0,esk38_0,esk28_0)
    & midp(esk39_0,esk23_0,esk21_0)
    & perp(esk23_0,esk21_0,esk39_0,esk28_0)
    & midp(esk40_0,esk24_0,esk21_0)
    & perp(esk24_0,esk21_0,esk40_0,esk28_0)
    & ~ cong(esk24_0,esk27_0,esk24_0,esk28_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).

fof(c_0_25,plain,
    ! [X263,X264,X265,X266,X267,X268] :
      ( ~ eqangle(X263,X264,X267,X268,X265,X266,X267,X268)
      | para(X263,X264,X265,X266) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_26,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_21]) ).

cnf(c_0_27,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_28,plain,
    ! [X44,X45,X46,X47] :
      ( ~ para(X44,X45,X46,X47)
      | para(X44,X45,X47,X46) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_29,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    midp(esk40_0,esk24_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_31,plain,
    ! [X78,X79,X80] :
      ( ~ midp(X80,X79,X78)
      | midp(X80,X78,X79) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_32,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_34,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    ( para(X1,esk24_0,X2,esk21_0)
    | ~ midp(esk40_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_36,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_37,plain,
    ! [X407,X408,X409] :
      ( ~ midp(X407,X408,X409)
      | coll(X407,X408,X409) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_38,plain,
    ! [X398,X399,X400] :
      ( ~ para(X398,X399,X398,X400)
      | coll(X398,X399,X400) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_39,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    ( para(X1,esk24_0,esk21_0,X2)
    | ~ midp(esk40_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,negated_conjecture,
    midp(esk40_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_36,c_0_30]) ).

fof(c_0_42,plain,
    ! [X40,X41,X42,X43] :
      ( ~ coll(X40,X41,X42)
      | ~ coll(X40,X41,X43)
      | coll(X42,X43,X40) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_43,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_44,plain,
    ! [X37,X38,X39] :
      ( ~ coll(X37,X38,X39)
      | coll(X38,X37,X39) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_45,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_46,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).

fof(c_0_47,plain,
    ! [X404,X405,X406] :
      ( ~ midp(X404,X405,X406)
      | cong(X404,X405,X404,X406) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_48,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk40_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_43,c_0_41]) ).

fof(c_0_50,plain,
    ! [X34,X35,X36] :
      ( ~ coll(X34,X35,X36)
      | coll(X34,X36,X35) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_51,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_53,plain,
    ! [X159,X160,X161,X162,X163,X164] :
      ( ~ cong(X159,X160,X161,X162)
      | ~ cong(X161,X162,X163,X164)
      | cong(X159,X160,X163,X164) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_54,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    ( coll(X1,esk24_0,esk40_0)
    | ~ coll(esk40_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_57,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

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_53]) ).

cnf(c_0_59,negated_conjecture,
    cong(esk40_0,esk21_0,esk40_0,esk24_0),
    inference(spm,[status(thm)],[c_0_54,c_0_41]) ).

cnf(c_0_60,negated_conjecture,
    coll(esk24_0,esk24_0,esk40_0),
    inference(spm,[status(thm)],[c_0_55,c_0_49]) ).

fof(c_0_61,plain,
    ! [X298,X299,X300,X301,X302] :
      ( ~ midp(X301,X298,X299)
      | ~ para(X301,X302,X299,X300)
      | ~ coll(X302,X298,X300)
      | midp(X302,X298,X300) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_62,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

fof(c_0_63,plain,
    ! [X388,X389,X390,X391,X392] :
      ( ~ midp(X392,X388,X389)
      | ~ para(X388,X390,X389,X391)
      | ~ para(X388,X391,X389,X390)
      | midp(X392,X390,X391) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

fof(c_0_64,plain,
    ! [X401,X402,X403] :
      ( ~ cong(X401,X402,X401,X403)
      | ~ coll(X401,X402,X403)
      | midp(X401,X402,X403) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_65,negated_conjecture,
    ( cong(X1,X2,esk40_0,esk24_0)
    | ~ cong(X1,X2,esk40_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    cong(esk40_0,esk24_0,esk40_0,esk21_0),
    inference(spm,[status(thm)],[c_0_54,c_0_30]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk24_0,esk40_0,esk24_0),
    inference(spm,[status(thm)],[c_0_56,c_0_60]) ).

cnf(c_0_68,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_61]) ).

cnf(c_0_69,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_62]),c_0_62])]) ).

cnf(c_0_70,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_63]) ).

cnf(c_0_71,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    cong(esk40_0,esk24_0,esk40_0,esk24_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,negated_conjecture,
    coll(esk40_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_51,c_0_67]) ).

cnf(c_0_74,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).

cnf(c_0_75,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_46]),c_0_46])]) ).

cnf(c_0_76,negated_conjecture,
    midp(esk40_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).

cnf(c_0_77,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_74,c_0_46]) ).

cnf(c_0_78,negated_conjecture,
    midp(esk40_0,X1,X1),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

fof(c_0_79,plain,
    ! [X424,X425,X426,X427,X428,X429,X430,X431] :
      ( ~ eqangle(X424,X425,X426,X427,X428,X429,X430,X431)
      | ~ para(X428,X429,X430,X431)
      | para(X424,X425,X426,X427) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

fof(c_0_80,plain,
    ! [X303,X304,X305] :
      ( ~ cong(X305,X303,X305,X304)
      | eqangle(X305,X303,X303,X304,X303,X304,X305,X304) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_81,negated_conjecture,
    midp(X1,esk40_0,X1),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_82,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_79]) ).

cnf(c_0_83,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_84,negated_conjecture,
    midp(X1,X1,esk40_0),
    inference(spm,[status(thm)],[c_0_36,c_0_81]) ).

cnf(c_0_85,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_86,negated_conjecture,
    cong(X1,X1,X1,esk40_0),
    inference(spm,[status(thm)],[c_0_54,c_0_84]) ).

cnf(c_0_87,negated_conjecture,
    para(X1,X1,X1,esk40_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_46])]) ).

cnf(c_0_88,negated_conjecture,
    ( midp(X1,X2,esk40_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_87]) ).

fof(c_0_89,plain,
    ! [X474,X475,X476,X477,X478,X479] :
      ( ( midp(esk6_6(X474,X475,X476,X477,X478,X479),X474,X477)
        | ~ midp(X478,X474,X475)
        | ~ midp(X479,X476,X477) )
      & ( para(esk6_6(X474,X475,X476,X477,X478,X479),X478,X475,X477)
        | ~ midp(X478,X474,X475)
        | ~ midp(X479,X476,X477) )
      & ( para(esk6_6(X474,X475,X476,X477,X478,X479),X479,X474,X476)
        | ~ midp(X478,X474,X475)
        | ~ midp(X479,X476,X477) ) ),
    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_90,negated_conjecture,
    midp(X1,esk40_0,esk40_0),
    inference(spm,[status(thm)],[c_0_88,c_0_81]) ).

cnf(c_0_91,plain,
    ( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
    | ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_75,c_0_90]) ).

cnf(c_0_93,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(X1,X4,X5)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_68,c_0_91]) ).

cnf(c_0_94,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_77,c_0_92]) ).

cnf(c_0_95,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_34,c_0_46]) ).

cnf(c_0_96,plain,
    ( midp(X1,X2,X3)
    | ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
    | ~ midp(X7,X6,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_69])]) ).

cnf(c_0_97,negated_conjecture,
    midp(X1,X2,esk40_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_94])]) ).

cnf(c_0_98,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_95]) ).

cnf(c_0_99,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_97])]) ).

cnf(c_0_100,negated_conjecture,
    midp(esk40_0,X1,X2),
    inference(spm,[status(thm)],[c_0_98,c_0_97]) ).

cnf(c_0_101,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_102,negated_conjecture,
    ~ cong(esk24_0,esk27_0,esk24_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_103,plain,
    cong(X1,X2,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_101])]) ).

cnf(c_0_104,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO565+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n003.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 11:52:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  # ENIGMATIC: Selected SinE mode:
% 0.20/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 31.89/5.41  # ENIGMATIC: Solved by autoschedule:
% 31.89/5.41  # No SInE strategy applied
% 31.89/5.41  # Trying AutoSched0 for 150 seconds
% 31.89/5.41  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 31.89/5.41  # and selection function SelectComplexExceptUniqMaxHorn.
% 31.89/5.41  #
% 31.89/5.41  # Preprocessing time       : 0.032 s
% 31.89/5.41  # Presaturation interreduction done
% 31.89/5.41  
% 31.89/5.41  # Proof found!
% 31.89/5.41  # SZS status Theorem
% 31.89/5.41  # SZS output start CNFRefutation
% See solution above
% 31.89/5.41  # Training examples: 0 positive, 0 negative
% 31.89/5.41  
% 31.89/5.41  # -------------------------------------------------
% 31.89/5.41  # User time                : 3.055 s
% 31.89/5.41  # System time              : 0.074 s
% 31.89/5.41  # Total time               : 3.128 s
% 31.89/5.41  # Maximum resident set size: 7120 pages
% 31.89/5.41  
%------------------------------------------------------------------------------