TSTP Solution File: GEO650+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GEO650+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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  : 300s
% DateTime : Mon May 20 19:59:57 EDT 2024

% Result   : Theorem 2.66s 0.75s
% Output   : CNFRefutation 2.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  121 (  25 unt;   0 def)
%            Number of atoms       :  302 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  288 ( 107   ~; 104   |;  49   &)
%                                         (   0 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  474 (  31 sgn 256   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02211,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
      ( ( midp(X19,X1,X2)
        & perp(X1,X2,X19,X4)
        & midp(X20,X1,X3)
        & perp(X1,X3,X20,X4)
        & midp(X21,X2,X3)
        & perp(X2,X3,X21,X4)
        & perp(X3,X4,X3,X5)
        & perp(X2,X4,X2,X5)
        & perp(X6,X4,X1,X2)
        & coll(X6,X1,X2)
        & coll(X13,X4,X6)
        & coll(X13,X1,X3) )
     => para(X13,X5,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02211) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

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(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

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

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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

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(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(ruleD54,axiom,
    ! [X1,X2,X3,X4] :
      ( ( cyclic(X1,X2,X3,X4)
        & para(X1,X2,X3,X4) )
     => eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD54) ).

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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(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(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(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(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(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

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(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(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(c_0_27,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
        ( ( midp(X19,X1,X2)
          & perp(X1,X2,X19,X4)
          & midp(X20,X1,X3)
          & perp(X1,X3,X20,X4)
          & midp(X21,X2,X3)
          & perp(X2,X3,X21,X4)
          & perp(X3,X4,X3,X5)
          & perp(X2,X4,X2,X5)
          & perp(X6,X4,X1,X2)
          & coll(X6,X1,X2)
          & coll(X13,X4,X6)
          & coll(X13,X1,X3) )
       => para(X13,X5,X1,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02211]) ).

fof(c_0_28,plain,
    ! [X251,X252,X253,X254] :
      ( ~ perp(X251,X252,X253,X254)
      | perp(X251,X252,X254,X253) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).

fof(c_0_29,negated_conjecture,
    ( midp(esk8_0,esk1_0,esk2_0)
    & perp(esk1_0,esk2_0,esk8_0,esk4_0)
    & midp(esk9_0,esk1_0,esk3_0)
    & perp(esk1_0,esk3_0,esk9_0,esk4_0)
    & midp(esk10_0,esk2_0,esk3_0)
    & perp(esk2_0,esk3_0,esk10_0,esk4_0)
    & perp(esk3_0,esk4_0,esk3_0,esk5_0)
    & perp(esk2_0,esk4_0,esk2_0,esk5_0)
    & perp(esk6_0,esk4_0,esk1_0,esk2_0)
    & coll(esk6_0,esk1_0,esk2_0)
    & coll(esk7_0,esk4_0,esk6_0)
    & coll(esk7_0,esk1_0,esk3_0)
    & ~ para(esk7_0,esk5_0,esk1_0,esk2_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).

fof(c_0_30,plain,
    ! [X334,X335,X336,X337,X338,X339,X340,X341] :
      ( ~ eqangle(X334,X335,X336,X337,X338,X339,X340,X341)
      | eqangle(X336,X337,X334,X335,X340,X341,X338,X339) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).

fof(c_0_31,plain,
    ! [X64,X65,X66,X67,X68,X69] :
      ( ~ para(X64,X65,X66,X67)
      | eqangle(X64,X65,X68,X69,X66,X67,X68,X69) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).

fof(c_0_32,plain,
    ! [X255,X256,X257,X258] :
      ( ~ perp(X255,X256,X257,X258)
      | perp(X257,X258,X255,X256) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).

cnf(c_0_33,plain,
    ( perp(X1,X2,X4,X3)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    perp(esk1_0,esk2_0,esk8_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_35,plain,
    ! [X58,X59,X60,X61,X62,X63] :
      ( ~ eqangle(X58,X59,X62,X63,X60,X61,X62,X63)
      | para(X58,X59,X60,X61) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).

cnf(c_0_36,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_30]) ).

cnf(c_0_37,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_38,plain,
    ! [X46,X47,X48,X49,X50,X51] :
      ( ~ perp(X46,X47,X48,X49)
      | ~ perp(X48,X49,X50,X51)
      | para(X46,X47,X50,X51) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).

cnf(c_0_39,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,negated_conjecture,
    perp(esk1_0,esk2_0,esk4_0,esk8_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_42,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_44,negated_conjecture,
    perp(esk4_0,esk8_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_45,plain,
    ! [X99,X100,X101] :
      ( ~ para(X99,X100,X99,X101)
      | coll(X99,X100,X101) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).

cnf(c_0_46,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    ( para(X1,X2,esk1_0,esk2_0)
    | ~ perp(X1,X2,esk4_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_48,plain,
    ! [X154,X155,X156] :
      ( ~ coll(X154,X155,X156)
      | coll(X155,X154,X156) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).

cnf(c_0_49,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_40])]) ).

fof(c_0_51,plain,
    ! [X151,X152,X153] :
      ( ~ coll(X151,X152,X153)
      | coll(X151,X153,X152) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).

cnf(c_0_52,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_54,plain,
    ! [X165,X166,X167,X168] :
      ( ~ eqangle(X167,X165,X167,X166,X168,X165,X168,X166)
      | ~ coll(X167,X168,X166)
      | cyclic(X165,X166,X167,X168) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).

fof(c_0_55,plain,
    ! [X157,X158,X159,X160] :
      ( ~ coll(X157,X158,X159)
      | ~ coll(X157,X158,X160)
      | coll(X159,X160,X157) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).

cnf(c_0_56,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_57,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_58,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_54]) ).

cnf(c_0_59,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_60,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

fof(c_0_61,plain,
    ! [X398,X399,X400,X401] :
      ( ~ cyclic(X398,X399,X400,X401)
      | cyclic(X398,X400,X399,X401) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).

cnf(c_0_62,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_58,c_0_37]) ).

cnf(c_0_63,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_60])]) ).

fof(c_0_64,plain,
    ! [X394,X395,X396,X397] :
      ( ~ cyclic(X394,X395,X396,X397)
      | cyclic(X394,X395,X397,X396) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).

cnf(c_0_65,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_66,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_50])]),c_0_63])]) ).

fof(c_0_67,plain,
    ! [X402,X403,X404,X405] :
      ( ~ cyclic(X402,X403,X404,X405)
      | cyclic(X403,X402,X404,X405) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).

cnf(c_0_68,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_69,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_70,plain,
    ! [X374,X375,X376,X377,X378,X379] :
      ( ~ cyclic(X374,X375,X376,X377)
      | ~ cyclic(X374,X375,X376,X378)
      | ~ cyclic(X374,X375,X376,X379)
      | ~ eqangle(X376,X374,X376,X375,X379,X377,X379,X378)
      | cong(X374,X375,X377,X378) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])]) ).

fof(c_0_71,plain,
    ! [X80,X81,X82,X83] :
      ( ~ cyclic(X80,X81,X82,X83)
      | ~ para(X80,X81,X82,X83)
      | eqangle(X80,X83,X82,X83,X82,X83,X82,X81) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])])]) ).

fof(c_0_72,plain,
    ! [X406,X407,X408,X409,X410] :
      ( ~ cyclic(X406,X407,X408,X409)
      | ~ cyclic(X406,X407,X408,X410)
      | cyclic(X407,X408,X409,X410) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).

cnf(c_0_73,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_74,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_75,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_70]) ).

cnf(c_0_76,plain,
    ( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_77,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_78,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

fof(c_0_79,plain,
    ! [X187,X188,X189] :
      ( ~ cong(X187,X188,X187,X189)
      | ~ coll(X187,X188,X189)
      | midp(X187,X188,X189) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).

cnf(c_0_80,plain,
    ( cong(X1,X1,X1,X2)
    | ~ cyclic(X1,X1,X3,X3)
    | ~ cyclic(X1,X1,X3,X2)
    | ~ cyclic(X1,X1,X3,X1)
    | ~ cyclic(X3,X2,X3,X1)
    | ~ para(X3,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_81,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_78])]) ).

fof(c_0_82,plain,
    ! [X75,X76,X77,X78,X79] :
      ( ~ midp(X78,X75,X76)
      | ~ para(X78,X79,X76,X77)
      | ~ coll(X79,X75,X77)
      | midp(X79,X75,X77) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).

fof(c_0_83,plain,
    ! [X32,X33,X34,X35] :
      ( ~ para(X32,X33,X34,X35)
      | para(X32,X33,X35,X34) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).

fof(c_0_84,plain,
    ! [X89,X90,X91,X92,X93] :
      ( ~ midp(X93,X89,X90)
      | ~ para(X89,X91,X90,X92)
      | ~ para(X89,X92,X90,X91)
      | midp(X93,X91,X92) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).

cnf(c_0_85,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_86,plain,
    ( cong(X1,X1,X1,X2)
    | ~ para(X3,X2,X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_66])]),c_0_81]),c_0_81]),c_0_81])]) ).

fof(c_0_87,plain,
    ! [X110,X111,X112,X113,X114,X115,X116,X117] :
      ( ~ eqangle(X110,X111,X112,X113,X114,X115,X116,X117)
      | ~ para(X114,X115,X116,X117)
      | para(X110,X111,X112,X113) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).

fof(c_0_88,plain,
    ! [X370,X371,X372,X373] :
      ( ~ cyclic(X370,X371,X372,X373)
      | eqangle(X372,X370,X372,X371,X373,X370,X373,X371) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).

cnf(c_0_89,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_82]) ).

cnf(c_0_90,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_91,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_92,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_63])]) ).

cnf(c_0_93,negated_conjecture,
    cong(X1,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_86,c_0_50]) ).

cnf(c_0_94,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_87]) ).

cnf(c_0_95,plain,
    ( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

fof(c_0_96,plain,
    ! [X380,X381,X382] :
      ( ~ cong(X382,X380,X382,X381)
      | eqangle(X382,X380,X380,X381,X380,X381,X382,X381) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).

cnf(c_0_97,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_63])]) ).

cnf(c_0_98,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_90,c_0_50]) ).

cnf(c_0_99,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_50]),c_0_50])]) ).

cnf(c_0_100,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_101,plain,
    ( para(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ para(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_102,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

fof(c_0_103,plain,
    ! [X317,X318,X319] :
      ( ~ midp(X317,X318,X319)
      | cong(X317,X318,X317,X319) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).

cnf(c_0_104,negated_conjecture,
    ( midp(X1,X2,X3)
    | ~ midp(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_106,plain,
    ( para(X1,X2,X1,X3)
    | ~ para(X4,X2,X4,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_81])]) ).

cnf(c_0_107,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_102]) ).

cnf(c_0_108,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_109,negated_conjecture,
    midp(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_110,plain,
    ( para(X1,X2,X1,X3)
    | ~ cong(X2,X2,X2,X3) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_111,negated_conjecture,
    cong(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_112,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_97,c_0_50]) ).

fof(c_0_113,plain,
    ! [X70,X71,X72,X73,X74] :
      ( ~ midp(X73,X70,X71)
      | ~ midp(X74,X70,X72)
      | para(X73,X74,X71,X72) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).

cnf(c_0_114,plain,
    para(X1,X2,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).

cnf(c_0_115,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_112,c_0_105]) ).

cnf(c_0_116,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_117,plain,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_114]),c_0_115])]) ).

cnf(c_0_118,negated_conjecture,
    ~ para(esk7_0,esk5_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_119,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_117])]) ).

cnf(c_0_120,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_119])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08  % Problem    : GEO650+1 : TPTP v8.2.0. Released v7.5.0.
% 0.02/0.09  % Command    : run_E %s %d THM
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit   : 300
% 0.08/0.28  % WCLimit    : 300
% 0.08/0.28  % DateTime   : Sun May 19 14:01:07 EDT 2024
% 0.08/0.28  % CPUTime    : 
% 0.12/0.37  Running first-order theorem proving
% 0.12/0.37  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/0.75  # Version: 3.1.0
% 2.66/0.75  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.66/0.75  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.66/0.75  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.66/0.75  # Starting new_bool_3 with 300s (1) cores
% 2.66/0.75  # Starting new_bool_1 with 300s (1) cores
% 2.66/0.75  # Starting sh5l with 300s (1) cores
% 2.66/0.75  # sh5l with pid 8690 completed with status 0
% 2.66/0.75  # Result found by sh5l
% 2.66/0.75  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.66/0.75  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.66/0.75  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.66/0.75  # Starting new_bool_3 with 300s (1) cores
% 2.66/0.75  # Starting new_bool_1 with 300s (1) cores
% 2.66/0.75  # Starting sh5l with 300s (1) cores
% 2.66/0.75  # SinE strategy is gf500_gu_R04_F100_L20000
% 2.66/0.75  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.66/0.75  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.66/0.75  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.66/0.75  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.66/0.75  # SAT001_MinMin_p005000_rr_RG with pid 8696 completed with status 0
% 2.66/0.75  # Result found by SAT001_MinMin_p005000_rr_RG
% 2.66/0.75  # Preprocessing class: FSLSSMSSSSSNFFN.
% 2.66/0.75  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.66/0.75  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.66/0.75  # Starting new_bool_3 with 300s (1) cores
% 2.66/0.75  # Starting new_bool_1 with 300s (1) cores
% 2.66/0.75  # Starting sh5l with 300s (1) cores
% 2.66/0.75  # SinE strategy is gf500_gu_R04_F100_L20000
% 2.66/0.75  # Search class: FGUSF-FFLM33-SFFFFFNN
% 2.66/0.75  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.66/0.75  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.66/0.75  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 2.66/0.75  # Preprocessing time       : 0.002 s
% 2.66/0.75  # Presaturation interreduction done
% 2.66/0.75  
% 2.66/0.75  # Proof found!
% 2.66/0.75  # SZS status Theorem
% 2.66/0.75  # SZS output start CNFRefutation
% See solution above
% 2.66/0.75  # Parsed axioms                        : 95
% 2.66/0.75  # Removed by relevancy pruning/SinE    : 0
% 2.66/0.75  # Initial clauses                      : 126
% 2.66/0.75  # Removed in clause preprocessing      : 0
% 2.66/0.75  # Initial clauses in saturation        : 126
% 2.66/0.75  # Processed clauses                    : 4684
% 2.66/0.75  # ...of these trivial                  : 564
% 2.66/0.75  # ...subsumed                          : 459
% 2.66/0.75  # ...remaining for further processing  : 3661
% 2.66/0.75  # Other redundant clauses eliminated   : 0
% 2.66/0.75  # Clauses deleted for lack of memory   : 0
% 2.66/0.75  # Backward-subsumed                    : 54
% 2.66/0.75  # Backward-rewritten                   : 3164
% 2.66/0.75  # Generated clauses                    : 27927
% 2.66/0.75  # ...of the previous two non-redundant : 15637
% 2.66/0.75  # ...aggressively subsumed             : 0
% 2.66/0.75  # Contextual simplify-reflections      : 3
% 2.66/0.75  # Paramodulations                      : 27927
% 2.66/0.75  # Factorizations                       : 0
% 2.66/0.75  # NegExts                              : 0
% 2.66/0.75  # Equation resolutions                 : 0
% 2.66/0.75  # Disequality decompositions           : 0
% 2.66/0.75  # Total rewrite steps                  : 17269
% 2.66/0.75  # ...of those cached                   : 13237
% 2.66/0.75  # Propositional unsat checks           : 0
% 2.66/0.75  #    Propositional check models        : 0
% 2.66/0.75  #    Propositional check unsatisfiable : 0
% 2.66/0.75  #    Propositional clauses             : 0
% 2.66/0.75  #    Propositional clauses after purity: 0
% 2.66/0.75  #    Propositional unsat core size     : 0
% 2.66/0.75  #    Propositional preprocessing time  : 0.000
% 2.66/0.75  #    Propositional encoding time       : 0.000
% 2.66/0.75  #    Propositional solver time         : 0.000
% 2.66/0.75  #    Success case prop preproc time    : 0.000
% 2.66/0.75  #    Success case prop encoding time   : 0.000
% 2.66/0.75  #    Success case prop solver time     : 0.000
% 2.66/0.75  # Current number of processed clauses  : 318
% 2.66/0.75  #    Positive orientable unit clauses  : 135
% 2.66/0.75  #    Positive unorientable unit clauses: 0
% 2.66/0.75  #    Negative unit clauses             : 4
% 2.66/0.75  #    Non-unit-clauses                  : 179
% 2.66/0.75  # Current number of unprocessed clauses: 10332
% 2.66/0.75  # ...number of literals in the above   : 32770
% 2.66/0.75  # Current number of archived formulas  : 0
% 2.66/0.75  # Current number of archived clauses   : 3343
% 2.66/0.75  # Clause-clause subsumption calls (NU) : 196966
% 2.66/0.75  # Rec. Clause-clause subsumption calls : 175277
% 2.66/0.75  # Non-unit clause-clause subsumptions  : 513
% 2.66/0.75  # Unit Clause-clause subsumption calls : 134059
% 2.66/0.75  # Rewrite failures with RHS unbound    : 0
% 2.66/0.75  # BW rewrite match attempts            : 19745
% 2.66/0.75  # BW rewrite match successes           : 2378
% 2.66/0.75  # Condensation attempts                : 0
% 2.66/0.75  # Condensation successes               : 0
% 2.66/0.75  # Termbank termtop insertions          : 293803
% 2.66/0.75  # Search garbage collected termcells   : 2887
% 2.66/0.75  
% 2.66/0.75  # -------------------------------------------------
% 2.66/0.75  # User time                : 0.346 s
% 2.66/0.75  # System time              : 0.010 s
% 2.66/0.75  # Total time               : 0.356 s
% 2.66/0.75  # Maximum resident set size: 2592 pages
% 2.66/0.75  
% 2.66/0.75  # -------------------------------------------------
% 2.66/0.75  # User time                : 0.348 s
% 2.66/0.75  # System time              : 0.012 s
% 2.66/0.75  # Total time               : 0.360 s
% 2.66/0.75  # Maximum resident set size: 1900 pages
% 2.66/0.75  % E---3.1 exiting
% 2.66/0.75  % E exiting
%------------------------------------------------------------------------------