TSTP Solution File: GEO647+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 03:46:46 EDT 2022

% Result   : Theorem 7.69s 2.33s
% Output   : CNFRefutation 7.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  157 (  68 unt;   0 def)
%            Number of atoms       :  300 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  245 ( 102   ~;  97   |;  24   &)
%                                         (   0 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  307 (   0 sgn 188   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0156,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13] :
      ( ( midp(X4,X1,X3)
        & midp(X5,X2,X1)
        & midp(X6,X3,X2)
        & para(X1,X6,X13,X4)
        & para(X1,X3,X13,X6) )
     => para(X3,X5,X13,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).

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

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

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(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(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(ruleD6,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & para(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

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

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(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(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/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/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(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

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(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

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(c_0_21,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13] :
        ( ( midp(X4,X1,X3)
          & midp(X5,X2,X1)
          & midp(X6,X3,X2)
          & para(X1,X6,X13,X4)
          & para(X1,X3,X13,X6) )
       => para(X3,X5,X13,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0156]) ).

fof(c_0_22,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_23,negated_conjecture,
    ( midp(esk24_0,esk21_0,esk23_0)
    & midp(esk25_0,esk22_0,esk21_0)
    & midp(esk26_0,esk23_0,esk22_0)
    & para(esk21_0,esk26_0,esk27_0,esk24_0)
    & para(esk21_0,esk23_0,esk27_0,esk26_0)
    & ~ para(esk23_0,esk25_0,esk27_0,esk22_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).

fof(c_0_24,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_25,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    midp(esk24_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_27,plain,
    ! [X33,X34,X35,X36] :
      ( ~ para(X33,X34,X35,X36)
      | para(X35,X36,X33,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

fof(c_0_28,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_29,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,negated_conjecture,
    coll(esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

fof(c_0_31,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_32,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    para(esk21_0,esk26_0,esk27_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_34,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_35,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,negated_conjecture,
    coll(esk21_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_37,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    para(esk27_0,esk24_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_40,negated_conjecture,
    coll(esk21_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_41,plain,
    ! [X37,X38,X39,X40,X41,X42] :
      ( ~ para(X37,X38,X39,X40)
      | ~ para(X39,X40,X41,X42)
      | para(X37,X38,X41,X42) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

cnf(c_0_42,negated_conjecture,
    para(esk27_0,esk24_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    ( coll(X1,esk24_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_44,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_45,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    para(esk26_0,esk21_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_32,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_43,c_0_40]) ).

cnf(c_0_48,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    ( para(X1,X2,esk27_0,esk24_0)
    | ~ para(X1,X2,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    ( coll(X1,esk23_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_30]) ).

cnf(c_0_51,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_35,c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    ( coll(esk27_0,X1,esk24_0)
    | ~ para(esk27_0,X1,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_54,negated_conjecture,
    coll(esk27_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_52,c_0_42]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_35,c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk24_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_29,c_0_54]) ).

fof(c_0_57,plain,
    ! [X63,X64,X65] :
      ( ~ midp(X65,X64,X63)
      | midp(X65,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_58,negated_conjecture,
    ( coll(X1,esk23_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    coll(esk24_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_35,c_0_56]) ).

fof(c_0_60,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_61,negated_conjecture,
    para(esk21_0,esk26_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_37,c_0_33]) ).

cnf(c_0_62,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_63,negated_conjecture,
    midp(esk26_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_64,negated_conjecture,
    coll(esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_30]) ).

cnf(c_0_65,negated_conjecture,
    coll(esk27_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    para(esk21_0,esk23_0,esk27_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_67,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_60]) ).

cnf(c_0_68,negated_conjecture,
    para(esk24_0,esk27_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_32,c_0_61]) ).

cnf(c_0_69,negated_conjecture,
    ( para(X1,X2,esk26_0,esk21_0)
    | ~ para(X1,X2,esk27_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_42]) ).

cnf(c_0_70,negated_conjecture,
    midp(esk26_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_35,c_0_64]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk23_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_29,c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    para(esk27_0,esk26_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_32,c_0_66]) ).

cnf(c_0_74,negated_conjecture,
    ( midp(esk27_0,X1,esk26_0)
    | ~ midp(esk24_0,X1,esk21_0)
    | ~ coll(esk27_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_75,negated_conjecture,
    midp(esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_62,c_0_26]) ).

cnf(c_0_76,negated_conjecture,
    para(esk21_0,esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_69,c_0_33]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk26_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_25,c_0_70]) ).

cnf(c_0_78,negated_conjecture,
    ( coll(X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_71]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk23_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_35,c_0_72]) ).

cnf(c_0_80,negated_conjecture,
    para(esk27_0,esk26_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_37,c_0_73]) ).

cnf(c_0_81,negated_conjecture,
    ( midp(esk27_0,esk23_0,esk26_0)
    | ~ coll(esk27_0,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_82,negated_conjecture,
    para(esk21_0,esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_76]) ).

cnf(c_0_83,negated_conjecture,
    ( coll(X1,esk23_0,esk26_0)
    | ~ coll(esk26_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk27_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

fof(c_0_85,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_86,negated_conjecture,
    ( midp(esk26_0,X1,esk21_0)
    | ~ midp(esk27_0,X1,esk23_0)
    | ~ coll(esk26_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_80]) ).

cnf(c_0_87,negated_conjecture,
    ( midp(esk27_0,esk26_0,esk23_0)
    | ~ coll(esk27_0,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_62,c_0_81]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk21_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_48,c_0_82]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_83,c_0_77]) ).

cnf(c_0_90,negated_conjecture,
    coll(esk23_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_29,c_0_84]) ).

cnf(c_0_91,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_92,negated_conjecture,
    ( midp(esk26_0,esk26_0,esk21_0)
    | ~ coll(esk26_0,esk26_0,esk21_0)
    | ~ coll(esk27_0,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_29,c_0_88]) ).

cnf(c_0_94,negated_conjecture,
    ( coll(X1,esk26_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_89]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk23_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_35,c_0_90]) ).

fof(c_0_96,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_97,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_98,negated_conjecture,
    ( cong(esk26_0,esk26_0,esk26_0,esk21_0)
    | ~ coll(esk26_0,esk26_0,esk21_0)
    | ~ coll(esk27_0,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_93]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk27_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_101,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_96]) ).

cnf(c_0_102,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_97]) ).

cnf(c_0_103,negated_conjecture,
    ( cong(esk26_0,esk26_0,esk26_0,esk21_0)
    | ~ coll(esk27_0,esk23_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]) ).

cnf(c_0_104,negated_conjecture,
    coll(esk27_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_35,c_0_100]) ).

cnf(c_0_105,negated_conjecture,
    ( midp(esk26_0,esk26_0,esk21_0)
    | ~ coll(esk27_0,esk23_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_99])]) ).

cnf(c_0_106,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_101,c_0_102]) ).

cnf(c_0_107,negated_conjecture,
    cong(esk26_0,esk26_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]) ).

cnf(c_0_108,negated_conjecture,
    midp(esk26_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_104])]) ).

cnf(c_0_109,negated_conjecture,
    ( coll(X1,esk21_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_47]) ).

fof(c_0_110,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_111,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])]) ).

fof(c_0_112,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_113,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_106,c_0_107]),c_0_108])]) ).

cnf(c_0_114,negated_conjecture,
    midp(esk27_0,esk23_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_104])]) ).

cnf(c_0_115,negated_conjecture,
    coll(esk27_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_109,c_0_59]) ).

cnf(c_0_116,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_110]) ).

cnf(c_0_117,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

fof(c_0_118,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_119,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_120,negated_conjecture,
    cong(esk27_0,esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk21_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_29,c_0_115]) ).

cnf(c_0_122,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_123,negated_conjecture,
    para(esk26_0,esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_69,c_0_46]) ).

fof(c_0_124,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_125,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_126,negated_conjecture,
    cong(esk23_0,esk26_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_127,negated_conjecture,
    coll(esk23_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_29,c_0_104]) ).

fof(c_0_128,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_129,negated_conjecture,
    midp(esk25_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_130,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_36]) ).

cnf(c_0_131,negated_conjecture,
    coll(esk21_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_35,c_0_121]) ).

fof(c_0_132,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_133,negated_conjecture,
    para(esk26_0,esk26_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_107]),c_0_123])]) ).

cnf(c_0_134,negated_conjecture,
    para(esk23_0,esk21_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_32,c_0_80]) ).

cnf(c_0_135,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_136,negated_conjecture,
    cong(esk23_0,esk26_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_137,negated_conjecture,
    coll(esk23_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_35,c_0_127]) ).

cnf(c_0_138,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_139,negated_conjecture,
    midp(esk25_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_62,c_0_129]) ).

cnf(c_0_140,negated_conjecture,
    coll(esk27_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_141,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_132]) ).

cnf(c_0_142,negated_conjecture,
    para(esk26_0,esk21_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_32,c_0_133]) ).

cnf(c_0_143,negated_conjecture,
    ( midp(esk21_0,X1,esk26_0)
    | ~ midp(esk23_0,X1,esk27_0)
    | ~ coll(esk21_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_134]) ).

cnf(c_0_144,negated_conjecture,
    midp(esk23_0,esk26_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).

cnf(c_0_145,negated_conjecture,
    ~ para(esk23_0,esk25_0,esk27_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_146,negated_conjecture,
    ( para(X1,esk25_0,X2,esk22_0)
    | ~ midp(X1,esk21_0,X2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_147,negated_conjecture,
    para(esk21_0,esk23_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_37,c_0_66]) ).

cnf(c_0_148,negated_conjecture,
    coll(esk23_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_29,c_0_140]) ).

cnf(c_0_149,negated_conjecture,
    ( midp(X1,esk26_0,esk21_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_133])]) ).

cnf(c_0_150,negated_conjecture,
    midp(esk21_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_88])]) ).

cnf(c_0_151,negated_conjecture,
    ~ midp(esk23_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_152,negated_conjecture,
    ( midp(esk23_0,X1,esk27_0)
    | ~ midp(esk21_0,X1,esk26_0)
    | ~ coll(esk23_0,X1,esk27_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_147]) ).

cnf(c_0_153,negated_conjecture,
    coll(esk23_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_35,c_0_148]) ).

cnf(c_0_154,negated_conjecture,
    midp(esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_155,negated_conjecture,
    ~ midp(esk21_0,esk21_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153])]) ).

cnf(c_0_156,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_154]),c_0_155]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 13:15:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.69/2.33  # ENIGMATIC: Solved by autoschedule:
% 7.69/2.33  # No SInE strategy applied
% 7.69/2.33  # Trying AutoSched0 for 150 seconds
% 7.69/2.33  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.69/2.33  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.69/2.33  #
% 7.69/2.33  # Preprocessing time       : 0.017 s
% 7.69/2.33  # Presaturation interreduction done
% 7.69/2.33  
% 7.69/2.33  # Proof found!
% 7.69/2.33  # SZS status Theorem
% 7.69/2.33  # SZS output start CNFRefutation
% See solution above
% 7.69/2.33  # Training examples: 0 positive, 0 negative
% 7.69/2.33  
% 7.69/2.33  # -------------------------------------------------
% 7.69/2.33  # User time                : 0.079 s
% 7.69/2.33  # System time              : 0.006 s
% 7.69/2.33  # Total time               : 0.085 s
% 7.69/2.33  # Maximum resident set size: 7120 pages
% 7.69/2.33  
%------------------------------------------------------------------------------