TSTP Solution File: GEO592+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO592+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 17:35:20 EDT 2023

% Result   : Theorem 3.16s 0.83s
% Output   : CNFRefutation 3.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  141 (  41 unt;   0 def)
%            Number of atoms       :  331 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  302 ( 112   ~; 109   |;  53   &)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-6 aty)
%            Number of variables   :  505 (  24 sgn; 268   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD9) ).

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleX11) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD8) ).

fof(exemplo6GDDFULL416054,conjecture,
    ! [X2,X3,X1,X4,X8,X7,X13,X6,X5,X19,X20,X21] :
      ( ( perp(X1,X2,X1,X3)
        & perp(X4,X1,X2,X3)
        & coll(X4,X2,X3)
        & midp(X8,X3,X2)
        & circle(X8,X1,X19,X20)
        & perp(X7,X2,X1,X8)
        & coll(X7,X1,X8)
        & coll(X13,X2,X7)
        & circle(X8,X1,X13,X21)
        & coll(X6,X3,X1)
        & coll(X6,X2,X7)
        & coll(X5,X1,X4)
        & coll(X5,X2,X7) )
     => cong(X5,X1,X5,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',exemplo6GDDFULL416054) ).

fof(ruleD11,axiom,
    ! [X1,X2,X7] :
      ( midp(X7,X2,X1)
     => midp(X7,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD11) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD69) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD68) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD1) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD4) ).

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD23) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD3) ).

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/tmp/tmp.kx8EJj7UZn/E---3.1_30551.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/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD40) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD5) ).

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/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD25) ).

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/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD39) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD2) ).

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/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD64) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD67) ).

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/tmp/tmp.kx8EJj7UZn/E---3.1_30551.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/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD70) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD66) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD24) ).

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/tmp/tmp.kx8EJj7UZn/E---3.1_30551.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/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.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/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleD45) ).

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/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p',ruleX6) ).

fof(c_0_27,plain,
    ! [X54,X55,X56,X57,X58,X59] :
      ( ~ perp(X54,X55,X56,X57)
      | ~ perp(X56,X57,X58,X59)
      | para(X54,X55,X58,X59) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_28,plain,
    ! [X496,X497,X498,X499] :
      ( ~ circle(X499,X496,X497,X498)
      | perp(esk12_4(X496,X497,X498,X499),X496,X496,X499) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_29,plain,
    ! [X50,X51,X52,X53] :
      ( ~ perp(X50,X51,X52,X53)
      | perp(X52,X53,X50,X51) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_30,negated_conjecture,
    ~ ! [X2,X3,X1,X4,X8,X7,X13,X6,X5,X19,X20,X21] :
        ( ( perp(X1,X2,X1,X3)
          & perp(X4,X1,X2,X3)
          & coll(X4,X2,X3)
          & midp(X8,X3,X2)
          & circle(X8,X1,X19,X20)
          & perp(X7,X2,X1,X8)
          & coll(X7,X1,X8)
          & coll(X13,X2,X7)
          & circle(X8,X1,X13,X21)
          & coll(X6,X3,X1)
          & coll(X6,X2,X7)
          & coll(X5,X1,X4)
          & coll(X5,X2,X7) )
       => cong(X5,X1,X5,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416054]) ).

cnf(c_0_31,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_32,plain,
    ( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_34,plain,
    ! [X66,X67,X68] :
      ( ~ midp(X68,X67,X66)
      | midp(X68,X66,X67) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_35,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk23_0,esk22_0)
    & perp(esk24_0,esk23_0,esk21_0,esk22_0)
    & coll(esk24_0,esk21_0,esk22_0)
    & midp(esk25_0,esk22_0,esk21_0)
    & circle(esk25_0,esk23_0,esk30_0,esk31_0)
    & perp(esk26_0,esk21_0,esk23_0,esk25_0)
    & coll(esk26_0,esk23_0,esk25_0)
    & coll(esk27_0,esk21_0,esk26_0)
    & circle(esk25_0,esk23_0,esk27_0,esk32_0)
    & coll(esk28_0,esk22_0,esk23_0)
    & coll(esk28_0,esk21_0,esk26_0)
    & coll(esk29_0,esk23_0,esk24_0)
    & coll(esk29_0,esk21_0,esk26_0)
    & ~ cong(esk29_0,esk23_0,esk29_0,esk21_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

fof(c_0_36,plain,
    ! [X395,X396,X397] :
      ( ~ midp(X395,X396,X397)
      | coll(X395,X396,X397) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

cnf(c_0_37,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_38,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_33,c_0_32]) ).

fof(c_0_39,plain,
    ! [X392,X393,X394] :
      ( ~ midp(X392,X393,X394)
      | cong(X392,X393,X392,X394) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_40,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    midp(esk25_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_42,plain,
    ! [X22,X23,X24] :
      ( ~ coll(X22,X23,X24)
      | coll(X22,X24,X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_43,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_44,plain,
    ! [X32,X33,X34,X35] :
      ( ~ para(X32,X33,X34,X35)
      | para(X32,X33,X35,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_45,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_46,negated_conjecture,
    circle(esk25_0,esk23_0,esk30_0,esk31_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_47,plain,
    ! [X139,X140,X141,X142] :
      ( ~ cong(X139,X140,X141,X142)
      | cong(X139,X140,X142,X141) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_48,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_49,negated_conjecture,
    midp(esk25_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

fof(c_0_50,plain,
    ! [X28,X29,X30,X31] :
      ( ~ coll(X28,X29,X30)
      | ~ coll(X28,X29,X31)
      | coll(X30,X31,X28) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_51,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,negated_conjecture,
    coll(esk25_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_43,c_0_41]) ).

fof(c_0_53,plain,
    ! [X103,X104,X105,X106,X107,X108,X109,X110] :
      ( ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110)
      | eqangle(X105,X106,X103,X104,X109,X110,X107,X108) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_54,plain,
    ! [X257,X258,X259,X260,X261,X262] :
      ( ~ para(X257,X258,X259,X260)
      | eqangle(X257,X258,X261,X262,X259,X260,X261,X262) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_55,plain,
    ! [X36,X37,X38,X39] :
      ( ~ para(X36,X37,X38,X39)
      | para(X38,X39,X36,X37) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_56,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_57,negated_conjecture,
    para(esk23_0,esk25_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_58,plain,
    ! [X147,X148,X149,X150,X151,X152] :
      ( ~ cong(X147,X148,X149,X150)
      | ~ cong(X149,X150,X151,X152)
      | cong(X147,X148,X151,X152) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_59,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_60,negated_conjecture,
    cong(esk25_0,esk21_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_61,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk25_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_63,plain,
    ! [X251,X252,X253,X254,X255,X256] :
      ( ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256)
      | para(X251,X252,X253,X254) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_64,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_53]) ).

cnf(c_0_65,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_66,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_67,negated_conjecture,
    para(esk23_0,esk25_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_68,plain,
    ( cong(X1,X2,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_69,negated_conjecture,
    cong(esk25_0,esk21_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_70,negated_conjecture,
    ( coll(X1,esk22_0,esk25_0)
    | ~ coll(esk25_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_71,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_72,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_73,negated_conjecture,
    para(esk25_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_74,negated_conjecture,
    ( cong(X1,X2,esk22_0,esk25_0)
    | ~ cong(X1,X2,esk25_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    cong(esk25_0,esk22_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_41]) ).

fof(c_0_76,plain,
    ! [X25,X26,X27] :
      ( ~ coll(X25,X26,X27)
      | coll(X26,X25,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk22_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_70,c_0_62]) ).

fof(c_0_78,plain,
    ! [X376,X377,X378,X379,X380] :
      ( ~ midp(X380,X376,X377)
      | ~ para(X376,X378,X377,X379)
      | ~ para(X376,X379,X377,X378)
      | midp(X380,X378,X379) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_79,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_80,negated_conjecture,
    para(esk25_0,esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_56,c_0_73]) ).

fof(c_0_81,plain,
    ! [X389,X390,X391] :
      ( ~ cong(X389,X390,X389,X391)
      | ~ coll(X389,X390,X391)
      | midp(X389,X390,X391) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_82,negated_conjecture,
    cong(esk25_0,esk22_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_83,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk22_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_51,c_0_77]) ).

cnf(c_0_85,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_78]) ).

cnf(c_0_86,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_87,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_88,negated_conjecture,
    cong(esk25_0,esk22_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_59,c_0_82]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk25_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

fof(c_0_90,plain,
    ! [X428,X429,X430,X431,X432,X433,X434,X435] :
      ( ~ eqratio(X428,X429,X430,X431,X432,X433,X434,X435)
      | ~ cong(X432,X433,X434,X435)
      | cong(X428,X429,X430,X431) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_91,plain,
    ! [X398,X399,X400,X401,X402,X403] :
      ( ~ midp(X402,X398,X399)
      | ~ midp(X403,X400,X401)
      | eqratio(X402,X398,X398,X399,X403,X400,X400,X401) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_92,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_86])]) ).

cnf(c_0_93,negated_conjecture,
    midp(esk25_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).

fof(c_0_94,plain,
    ! [X386,X387,X388] :
      ( ~ para(X386,X387,X386,X388)
      | coll(X386,X387,X388) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_95,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_90]) ).

cnf(c_0_96,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_91]) ).

cnf(c_0_97,negated_conjecture,
    midp(esk25_0,X1,X1),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_98,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_99,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_95,c_0_96]) ).

cnf(c_0_100,negated_conjecture,
    cong(esk25_0,X1,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_48,c_0_97]) ).

cnf(c_0_101,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_98,c_0_86]) ).

fof(c_0_102,plain,
    ! [X143,X144,X145,X146] :
      ( ~ cong(X143,X144,X145,X146)
      | cong(X145,X146,X143,X144) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_103,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_99,c_0_100]),c_0_97])]) ).

cnf(c_0_104,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_83,c_0_101]) ).

fof(c_0_105,plain,
    ! [X412,X413,X414,X415,X416,X417,X418,X419] :
      ( ~ eqangle(X412,X413,X414,X415,X416,X417,X418,X419)
      | ~ para(X416,X417,X418,X419)
      | para(X412,X413,X414,X415) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

fof(c_0_106,plain,
    ! [X291,X292,X293] :
      ( ~ cong(X293,X291,X293,X292)
      | eqangle(X293,X291,X291,X292,X291,X292,X293,X292) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_107,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_108,negated_conjecture,
    cong(esk25_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_103,c_0_97]) ).

cnf(c_0_109,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_104]) ).

fof(c_0_110,plain,
    ! [X286,X287,X288,X289,X290] :
      ( ~ midp(X289,X286,X287)
      | ~ para(X289,X290,X287,X288)
      | ~ coll(X290,X286,X288)
      | midp(X290,X286,X288) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_111,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_105]) ).

cnf(c_0_112,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    cong(X1,X1,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_114,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_109]),c_0_109])]) ).

cnf(c_0_115,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_110]) ).

cnf(c_0_116,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_117,negated_conjecture,
    cong(X1,X1,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_113]) ).

cnf(c_0_118,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_114])]) ).

cnf(c_0_119,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_114])]) ).

cnf(c_0_120,negated_conjecture,
    para(X1,X1,X1,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_86])]) ).

cnf(c_0_121,negated_conjecture,
    midp(X1,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_118,c_0_117]) ).

cnf(c_0_122,negated_conjecture,
    ( midp(X1,X2,esk25_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_123,negated_conjecture,
    midp(X1,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_40,c_0_121]) ).

fof(c_0_124,plain,
    ! [X462,X463,X464,X465,X466,X467] :
      ( ( midp(esk6_6(X462,X463,X464,X465,X466,X467),X462,X465)
        | ~ midp(X466,X462,X463)
        | ~ midp(X467,X464,X465) )
      & ( para(esk6_6(X462,X463,X464,X465,X466,X467),X466,X463,X465)
        | ~ midp(X466,X462,X463)
        | ~ midp(X467,X464,X465) )
      & ( para(esk6_6(X462,X463,X464,X465,X466,X467),X467,X462,X464)
        | ~ midp(X466,X462,X463)
        | ~ midp(X467,X464,X465) ) ),
    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_125,negated_conjecture,
    midp(X1,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_126,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_124]) ).

cnf(c_0_127,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_119,c_0_86]) ).

cnf(c_0_128,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_92,c_0_125]) ).

cnf(c_0_129,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_115,c_0_126]) ).

cnf(c_0_130,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_131,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_56,c_0_86]) ).

cnf(c_0_132,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_129,c_0_114])]) ).

cnf(c_0_133,negated_conjecture,
    midp(X1,X2,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_130])]) ).

cnf(c_0_134,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_119,c_0_131]) ).

cnf(c_0_135,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_133])]) ).

cnf(c_0_136,negated_conjecture,
    midp(esk25_0,X1,X2),
    inference(spm,[status(thm)],[c_0_134,c_0_133]) ).

cnf(c_0_137,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_138,negated_conjecture,
    ~ cong(esk29_0,esk23_0,esk29_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_139,plain,
    cong(X1,X2,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_137])]) ).

cnf(c_0_140,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : GEO592+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n029.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 07:07:37 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.kx8EJj7UZn/E---3.1_30551.p
% 3.16/0.83  # Version: 3.1pre001
% 3.16/0.83  # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.16/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.16/0.83  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.16/0.83  # Starting new_bool_3 with 300s (1) cores
% 3.16/0.83  # Starting new_bool_1 with 300s (1) cores
% 3.16/0.83  # Starting sh5l with 300s (1) cores
% 3.16/0.83  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 30628 completed with status 0
% 3.16/0.83  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.16/0.83  # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.16/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.16/0.83  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.16/0.83  # No SInE strategy applied
% 3.16/0.83  # Search class: FGUSF-FFLM33-SFFFFFNN
% 3.16/0.83  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.16/0.83  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.16/0.83  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 3.16/0.83  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.16/0.83  # Starting new_bool_3 with 136s (1) cores
% 3.16/0.83  # Starting new_bool_1 with 136s (1) cores
% 3.16/0.83  # Starting sh5l with 136s (1) cores
% 3.16/0.83  # SAT001_MinMin_p005000_rr_RG with pid 30634 completed with status 0
% 3.16/0.83  # Result found by SAT001_MinMin_p005000_rr_RG
% 3.16/0.83  # Preprocessing class: FSLSSMSSSSSNFFN.
% 3.16/0.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.16/0.83  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.16/0.83  # No SInE strategy applied
% 3.16/0.83  # Search class: FGUSF-FFLM33-SFFFFFNN
% 3.16/0.83  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 3.16/0.83  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.16/0.83  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 3.16/0.83  # Preprocessing time       : 0.006 s
% 3.16/0.83  # Presaturation interreduction done
% 3.16/0.83  
% 3.16/0.83  # Proof found!
% 3.16/0.83  # SZS status Theorem
% 3.16/0.83  # SZS output start CNFRefutation
% See solution above
% 3.16/0.83  # Parsed axioms                        : 95
% 3.16/0.83  # Removed by relevancy pruning/SinE    : 0
% 3.16/0.83  # Initial clauses                      : 127
% 3.16/0.83  # Removed in clause preprocessing      : 0
% 3.16/0.83  # Initial clauses in saturation        : 127
% 3.16/0.83  # Processed clauses                    : 3618
% 3.16/0.83  # ...of these trivial                  : 377
% 3.16/0.83  # ...subsumed                          : 197
% 3.16/0.83  # ...remaining for further processing  : 3044
% 3.16/0.83  # Other redundant clauses eliminated   : 0
% 3.16/0.83  # Clauses deleted for lack of memory   : 0
% 3.16/0.83  # Backward-subsumed                    : 18
% 3.16/0.83  # Backward-rewritten                   : 2652
% 3.16/0.83  # Generated clauses                    : 22142
% 3.16/0.83  # ...of the previous two non-redundant : 11948
% 3.16/0.83  # ...aggressively subsumed             : 0
% 3.16/0.83  # Contextual simplify-reflections      : 3
% 3.16/0.83  # Paramodulations                      : 22142
% 3.16/0.83  # Factorizations                       : 0
% 3.16/0.83  # NegExts                              : 0
% 3.16/0.83  # Equation resolutions                 : 0
% 3.16/0.83  # Total rewrite steps                  : 14307
% 3.16/0.83  # Propositional unsat checks           : 0
% 3.16/0.83  #    Propositional check models        : 0
% 3.16/0.83  #    Propositional check unsatisfiable : 0
% 3.16/0.83  #    Propositional clauses             : 0
% 3.16/0.83  #    Propositional clauses after purity: 0
% 3.16/0.83  #    Propositional unsat core size     : 0
% 3.16/0.83  #    Propositional preprocessing time  : 0.000
% 3.16/0.83  #    Propositional encoding time       : 0.000
% 3.16/0.83  #    Propositional solver time         : 0.000
% 3.16/0.83  #    Success case prop preproc time    : 0.000
% 3.16/0.83  #    Success case prop encoding time   : 0.000
% 3.16/0.83  #    Success case prop solver time     : 0.000
% 3.16/0.83  # Current number of processed clauses  : 248
% 3.16/0.83  #    Positive orientable unit clauses  : 95
% 3.16/0.83  #    Positive unorientable unit clauses: 0
% 3.16/0.83  #    Negative unit clauses             : 0
% 3.16/0.83  #    Non-unit-clauses                  : 153
% 3.16/0.83  # Current number of unprocessed clauses: 8494
% 3.16/0.83  # ...number of literals in the above   : 26697
% 3.16/0.83  # Current number of archived formulas  : 0
% 3.16/0.83  # Current number of archived clauses   : 2796
% 3.16/0.83  # Clause-clause subsumption calls (NU) : 99923
% 3.16/0.83  # Rec. Clause-clause subsumption calls : 78693
% 3.16/0.83  # Non-unit clause-clause subsumptions  : 207
% 3.16/0.83  # Unit Clause-clause subsumption calls : 70100
% 3.16/0.83  # Rewrite failures with RHS unbound    : 0
% 3.16/0.83  # BW rewrite match attempts            : 16759
% 3.16/0.83  # BW rewrite match successes           : 2022
% 3.16/0.83  # Condensation attempts                : 0
% 3.16/0.83  # Condensation successes               : 0
% 3.16/0.83  # Termbank termtop insertions          : 241440
% 3.16/0.83  
% 3.16/0.83  # -------------------------------------------------
% 3.16/0.83  # User time                : 0.362 s
% 3.16/0.83  # System time              : 0.018 s
% 3.16/0.83  # Total time               : 0.380 s
% 3.16/0.83  # Maximum resident set size: 2572 pages
% 3.16/0.83  
% 3.16/0.83  # -------------------------------------------------
% 3.16/0.83  # User time                : 1.802 s
% 3.16/0.83  # System time              : 0.053 s
% 3.16/0.83  # Total time               : 1.854 s
% 3.16/0.83  # Maximum resident set size: 1872 pages
% 3.16/0.83  % E---3.1 exiting
%------------------------------------------------------------------------------