TSTP Solution File: GEO658+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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 04:06:57 EDT 2022

% Result   : Theorem 0.23s 3.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  214 (  75 unt;   0 def)
%            Number of atoms       :  444 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  384 ( 154   ~; 151   |;  48   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  496 (  18 sgn 274   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02316,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14,X19] :
      ( ( para(X1,X2,X3,X4)
        & para(X1,X3,X2,X4)
        & coll(X5,X1,X3)
        & perp(X6,X5,X3,X4)
        & coll(X6,X3,X4)
        & perp(X13,X5,X2,X3)
        & coll(X13,X2,X3)
        & coll(X14,X5,X13)
        & coll(X14,X1,X4)
        & coll(X19,X5,X6)
        & coll(X19,X1,X2) )
     => para(X13,X6,X14,X19) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULLmoreE02316) ).

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

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(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(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(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(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(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(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(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(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(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(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(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(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(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(ruleD42a,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & ~ coll(X9,X10,X1) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

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

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(ruleD10,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(c_0_30,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19] :
        ( ( para(X1,X2,X3,X4)
          & para(X1,X3,X2,X4)
          & coll(X5,X1,X3)
          & perp(X6,X5,X3,X4)
          & coll(X6,X3,X4)
          & perp(X13,X5,X2,X3)
          & coll(X13,X2,X3)
          & coll(X14,X5,X13)
          & coll(X14,X1,X4)
          & coll(X19,X5,X6)
          & coll(X19,X1,X2) )
       => para(X13,X6,X14,X19) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02316]) ).

fof(c_0_31,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

fof(c_0_32,negated_conjecture,
    ( para(esk21_0,esk22_0,esk23_0,esk24_0)
    & para(esk21_0,esk23_0,esk22_0,esk24_0)
    & coll(esk25_0,esk21_0,esk23_0)
    & perp(esk26_0,esk25_0,esk23_0,esk24_0)
    & coll(esk26_0,esk23_0,esk24_0)
    & perp(esk27_0,esk25_0,esk22_0,esk23_0)
    & coll(esk27_0,esk22_0,esk23_0)
    & coll(esk28_0,esk25_0,esk27_0)
    & coll(esk28_0,esk21_0,esk24_0)
    & coll(esk29_0,esk25_0,esk26_0)
    & coll(esk29_0,esk21_0,esk22_0)
    & ~ para(esk27_0,esk26_0,esk28_0,esk29_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

fof(c_0_33,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

fof(c_0_34,plain,
    ! [X5,X6,X7,X8] :
      ( ~ coll(X5,X6,X7)
      | ~ coll(X5,X6,X8)
      | coll(X7,X8,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_35,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    coll(esk27_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_37,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ para(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

fof(c_0_38,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

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

cnf(c_0_40,negated_conjecture,
    para(esk21_0,esk22_0,esk23_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_41,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_42,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_43,negated_conjecture,
    coll(esk27_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_44,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

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

cnf(c_0_46,negated_conjecture,
    para(esk21_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    ( coll(X1,esk22_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_49,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | ~ coll(X13,X14,X12)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_50,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

cnf(c_0_51,negated_conjecture,
    ( para(X1,X2,esk23_0,esk24_0)
    | ~ para(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_40]) ).

cnf(c_0_52,negated_conjecture,
    para(esk24_0,esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk28_0,esk21_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_54,negated_conjecture,
    coll(esk29_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_55,negated_conjecture,
    coll(esk22_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_47,c_0_36]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk22_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_48,c_0_43]) ).

cnf(c_0_57,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_58,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    para(esk24_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_60,negated_conjecture,
    ( coll(X1,esk24_0,esk28_0)
    | ~ coll(esk28_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_53]) ).

fof(c_0_61,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
      | para(X11,X12,X13,X14) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).

fof(c_0_62,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cyclic(X11,X12,X13,X14)
      | eqangle(X13,X11,X13,X12,X14,X11,X14,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

cnf(c_0_63,negated_conjecture,
    para(esk21_0,esk23_0,esk22_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_64,negated_conjecture,
    ( coll(X1,esk22_0,esk29_0)
    | ~ coll(esk29_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_54]) ).

cnf(c_0_65,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_55]) ).

cnf(c_0_66,negated_conjecture,
    coll(esk22_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_35,c_0_56]) ).

fof(c_0_67,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_68,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_69,negated_conjecture,
    para(esk24_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_39,c_0_59]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk24_0,esk24_0,esk28_0),
    inference(spm,[status(thm)],[c_0_60,c_0_53]) ).

cnf(c_0_71,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_72,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_73,negated_conjecture,
    ( para(X1,X2,esk22_0,esk24_0)
    | ~ para(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_63]) ).

cnf(c_0_74,negated_conjecture,
    para(esk22_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_45,c_0_63]) ).

cnf(c_0_75,negated_conjecture,
    coll(esk21_0,esk29_0,esk22_0),
    inference(spm,[status(thm)],[c_0_47,c_0_54]) ).

cnf(c_0_76,negated_conjecture,
    coll(esk22_0,esk22_0,esk29_0),
    inference(spm,[status(thm)],[c_0_64,c_0_54]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_78,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_79,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X6,X5,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_80,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_81,negated_conjecture,
    ( cyclic(esk23_0,X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_82,negated_conjecture,
    coll(esk24_0,esk28_0,esk24_0),
    inference(spm,[status(thm)],[c_0_35,c_0_70]) ).

cnf(c_0_83,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_84,negated_conjecture,
    ( cyclic(esk24_0,X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_73]),c_0_74])]) ).

cnf(c_0_85,negated_conjecture,
    ( coll(X1,esk22_0,esk21_0)
    | ~ coll(esk21_0,esk29_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_75]) ).

cnf(c_0_86,negated_conjecture,
    ( coll(X1,esk29_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_76]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_35,c_0_77]) ).

cnf(c_0_88,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_89,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    ( cyclic(esk23_0,esk24_0,X1,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_91,negated_conjecture,
    ( coll(X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk28_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_53]) ).

cnf(c_0_93,negated_conjecture,
    ( para(esk22_0,esk24_0,esk22_0,esk24_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk22_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_85,c_0_75]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk23_0,esk29_0,esk22_0),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

fof(c_0_96,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_97,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

cnf(c_0_98,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_88,c_0_58]) ).

cnf(c_0_99,negated_conjecture,
    ( cyclic(esk24_0,esk23_0,X1,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_91,c_0_82]) ).

cnf(c_0_101,negated_conjecture,
    ( coll(X1,esk21_0,esk28_0)
    | ~ coll(esk28_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_92]) ).

cnf(c_0_102,negated_conjecture,
    para(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_103,negated_conjecture,
    coll(esk29_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_54]) ).

cnf(c_0_104,negated_conjecture,
    coll(esk23_0,esk22_0,esk29_0),
    inference(spm,[status(thm)],[c_0_35,c_0_95]) ).

fof(c_0_105,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ cyclic(X6,X7,X8,X9)
      | ~ cyclic(X6,X7,X8,X10)
      | cyclic(X7,X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

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

cnf(c_0_107,negated_conjecture,
    perp(esk27_0,esk25_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_108,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

fof(c_0_109,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_110,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_71,c_0_98]) ).

cnf(c_0_111,negated_conjecture,
    para(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_99]),c_0_100])]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk21_0,esk28_0,esk24_0),
    inference(spm,[status(thm)],[c_0_47,c_0_53]) ).

cnf(c_0_113,negated_conjecture,
    coll(esk21_0,esk21_0,esk28_0),
    inference(spm,[status(thm)],[c_0_101,c_0_92]) ).

cnf(c_0_114,negated_conjecture,
    para(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_39,c_0_102]) ).

cnf(c_0_115,negated_conjecture,
    coll(esk22_0,esk29_0,esk21_0),
    inference(spm,[status(thm)],[c_0_47,c_0_103]) ).

cnf(c_0_116,negated_conjecture,
    coll(esk22_0,esk23_0,esk29_0),
    inference(spm,[status(thm)],[c_0_47,c_0_104]) ).

fof(c_0_117,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ cyclic(X16,X17,X18,X19)
      | ~ cyclic(X16,X17,X18,X20)
      | ~ cyclic(X16,X17,X18,X21)
      | ~ eqangle(X18,X16,X18,X17,X21,X19,X21,X20)
      | cong(X16,X17,X19,X20) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])])]) ).

cnf(c_0_118,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_119,negated_conjecture,
    ( para(X1,X2,esk22_0,esk23_0)
    | ~ perp(X1,X2,esk27_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_120,negated_conjecture,
    perp(esk22_0,esk23_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_108,c_0_107]) ).

cnf(c_0_121,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_122,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

fof(c_0_123,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ para(X8,X10,X9,X11)
      | ~ para(X8,X11,X9,X10)
      | midp(X12,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

fof(c_0_124,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ para(X10,X11,X8,X9)
      | ~ coll(X11,X7,X9)
      | midp(X11,X7,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_125,negated_conjecture,
    para(esk22_0,esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_39,c_0_74]) ).

cnf(c_0_126,negated_conjecture,
    ( coll(X1,esk24_0,esk21_0)
    | ~ coll(esk21_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_112]) ).

cnf(c_0_127,negated_conjecture,
    coll(esk21_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_113]) ).

cnf(c_0_128,negated_conjecture,
    para(esk24_0,esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_45,c_0_114]) ).

cnf(c_0_129,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(esk22_0,esk29_0,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_115]) ).

cnf(c_0_130,negated_conjecture,
    coll(esk22_0,esk29_0,esk23_0),
    inference(spm,[status(thm)],[c_0_35,c_0_116]) ).

cnf(c_0_131,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4)
    | ~ cyclic(X1,X2,X5,X6)
    | ~ cyclic(X1,X2,X5,X4)
    | ~ cyclic(X1,X2,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_132,negated_conjecture,
    ( cyclic(X1,esk24_0,X2,esk24_0)
    | ~ cyclic(esk23_0,X1,esk24_0,X2)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_118,c_0_81]) ).

cnf(c_0_133,negated_conjecture,
    ( cyclic(esk23_0,X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_119]),c_0_120])]) ).

cnf(c_0_134,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

fof(c_0_135,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | coll(X13,X14,X11)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ruleD42a])])]) ).

fof(c_0_136,plain,
    ! [X9,X10,X11] :
      ( ~ cong(X11,X9,X11,X10)
      | eqangle(X11,X9,X9,X10,X9,X10,X11,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_137,plain,
    ( midp(X1,X2,X3)
    | ~ para(X4,X3,X5,X2)
    | ~ para(X4,X2,X5,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_138,negated_conjecture,
    para(esk21_0,esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_39,c_0_63]) ).

cnf(c_0_139,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_140,negated_conjecture,
    para(esk23_0,esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_45,c_0_125]) ).

cnf(c_0_141,negated_conjecture,
    coll(esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_142,negated_conjecture,
    para(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_39,c_0_128]) ).

cnf(c_0_143,negated_conjecture,
    para(esk24_0,esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_39,c_0_52]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

fof(c_0_145,plain,
    ! [X4,X5,X6] :
      ( ~ cong(X4,X5,X4,X6)
      | ~ coll(X4,X5,X6)
      | midp(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_146,plain,
    ( cong(X1,X2,X1,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_131,c_0_72]) ).

cnf(c_0_147,negated_conjecture,
    cyclic(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_90]),c_0_100])]) ).

cnf(c_0_148,negated_conjecture,
    ( cyclic(X1,esk23_0,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_133]) ).

cnf(c_0_149,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_47,c_0_134]) ).

fof(c_0_150,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | ~ para(X5,X6,X7,X8)
      | eqangle(X5,X8,X7,X8,X7,X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

cnf(c_0_151,plain,
    ( cyclic(X1,X2,X3,X4)
    | coll(X3,X4,X1)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_152,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

fof(c_0_153,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

fof(c_0_154,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_155,negated_conjecture,
    ( midp(X1,esk23_0,esk22_0)
    | ~ midp(X1,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_46]),c_0_138])]) ).

cnf(c_0_156,negated_conjecture,
    ( midp(esk21_0,X1,esk24_0)
    | ~ midp(esk23_0,X1,esk22_0)
    | ~ coll(esk21_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_157,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_35,c_0_141]) ).

cnf(c_0_158,negated_conjecture,
    coll(esk24_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_121,c_0_142]) ).

cnf(c_0_159,negated_conjecture,
    ( midp(esk23_0,X1,esk21_0)
    | ~ midp(esk24_0,X1,esk22_0)
    | ~ coll(esk23_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_143]) ).

cnf(c_0_160,negated_conjecture,
    ( midp(X1,esk22_0,esk22_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_142]),c_0_142])]) ).

cnf(c_0_161,negated_conjecture,
    coll(esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_35,c_0_144]) ).

cnf(c_0_162,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_163,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_147])]) ).

fof(c_0_164,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_165,negated_conjecture,
    ( cyclic(X1,esk22_0,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_148]) ).

cnf(c_0_166,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_35,c_0_149]) ).

cnf(c_0_167,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ cyclic(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_168,plain,
    ( cyclic(X1,X2,X3,X3)
    | coll(X3,X3,X1)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_151,c_0_58]) ).

cnf(c_0_169,negated_conjecture,
    ( para(X1,X2,esk21_0,esk23_0)
    | ~ para(X1,X2,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_74]) ).

cnf(c_0_170,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_71,c_0_152]) ).

cnf(c_0_171,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_172,negated_conjecture,
    ( midp(esk22_0,X1,esk24_0)
    | ~ midp(esk21_0,X1,esk23_0)
    | ~ coll(esk22_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_40]) ).

cnf(c_0_173,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

cnf(c_0_174,negated_conjecture,
    ( midp(esk21_0,esk23_0,esk22_0)
    | ~ midp(esk23_0,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157])]) ).

cnf(c_0_175,negated_conjecture,
    coll(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_47,c_0_158]) ).

cnf(c_0_176,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk21_0)
    | ~ midp(esk24_0,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161])]) ).

cnf(c_0_177,negated_conjecture,
    midp(esk24_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_100])]) ).

cnf(c_0_178,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_179,negated_conjecture,
    cyclic(X1,esk22_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166])]) ).

cnf(c_0_180,plain,
    ( cyclic(X1,X1,X2,X2)
    | ~ para(X2,X1,X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_167]),c_0_168]),c_0_68]) ).

fof(c_0_181,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | perp(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

cnf(c_0_182,negated_conjecture,
    para(esk24_0,esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_45,c_0_138]) ).

cnf(c_0_183,negated_conjecture,
    ( para(esk22_0,esk22_0,esk21_0,esk23_0)
    | ~ cong(esk22_0,esk22_0,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_184,negated_conjecture,
    ( cong(esk22_0,X1,esk22_0,esk24_0)
    | ~ midp(esk21_0,X1,esk23_0)
    | ~ coll(esk22_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_185,negated_conjecture,
    ( midp(esk21_0,esk22_0,esk23_0)
    | ~ midp(esk23_0,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_186,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_35,c_0_175]) ).

cnf(c_0_187,negated_conjecture,
    midp(esk23_0,esk22_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177])]) ).

cnf(c_0_188,negated_conjecture,
    cyclic(X1,esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_189,plain,
    ( cyclic(X1,X2,X1,X2)
    | ~ para(X2,X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_180]) ).

cnf(c_0_190,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_191,negated_conjecture,
    para(esk24_0,esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_39,c_0_182]) ).

cnf(c_0_192,negated_conjecture,
    ( para(esk22_0,esk22_0,esk23_0,esk21_0)
    | ~ cong(esk22_0,esk22_0,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_183]) ).

cnf(c_0_193,negated_conjecture,
    ( cong(esk22_0,esk22_0,esk22_0,esk24_0)
    | ~ midp(esk23_0,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186])]) ).

cnf(c_0_194,negated_conjecture,
    midp(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_173,c_0_187]) ).

fof(c_0_195,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | perp(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_196,negated_conjecture,
    cyclic(esk22_0,X1,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_89,c_0_188]) ).

cnf(c_0_197,plain,
    cyclic(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_122])]) ).

cnf(c_0_198,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_98]),c_0_166]),c_0_122])]) ).

cnf(c_0_199,negated_conjecture,
    ( perp(esk24_0,esk22_0,X1,X2)
    | ~ perp(esk23_0,esk21_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_200,negated_conjecture,
    ( para(esk23_0,esk21_0,esk22_0,esk22_0)
    | ~ cong(esk22_0,esk22_0,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_192]) ).

cnf(c_0_201,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194])]) ).

cnf(c_0_202,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_195]) ).

cnf(c_0_203,negated_conjecture,
    cong(esk22_0,X1,esk22_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_196]),c_0_197]),c_0_198])]) ).

cnf(c_0_204,negated_conjecture,
    ~ para(esk27_0,esk26_0,esk28_0,esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_205,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk24_0,esk22_0)
    | ~ perp(esk23_0,esk21_0,X3,X4) ),
    inference(spm,[status(thm)],[c_0_106,c_0_199]) ).

cnf(c_0_206,negated_conjecture,
    para(esk23_0,esk21_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).

cnf(c_0_207,negated_conjecture,
    perp(esk22_0,esk22_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_203])]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ perp(esk27_0,esk26_0,esk24_0,esk22_0)
    | ~ perp(esk23_0,esk21_0,esk28_0,esk29_0) ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_209,negated_conjecture,
    perp(esk23_0,esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_206]),c_0_207])]) ).

cnf(c_0_210,negated_conjecture,
    ( perp(X1,X2,esk24_0,esk22_0)
    | ~ perp(esk23_0,esk21_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_108,c_0_199]) ).

cnf(c_0_211,negated_conjecture,
    ~ perp(esk27_0,esk26_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_209])]) ).

cnf(c_0_212,negated_conjecture,
    perp(X1,X2,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_209])]) ).

cnf(c_0_213,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_212])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 08:01:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/3.41  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/3.41  # Preprocessing time       : 0.022 s
% 0.23/3.41  
% 0.23/3.41  # Proof found!
% 0.23/3.41  # SZS status Theorem
% 0.23/3.41  # SZS output start CNFRefutation
% See solution above
% 0.23/3.41  # Proof object total steps             : 214
% 0.23/3.41  # Proof object clause steps            : 153
% 0.23/3.41  # Proof object formula steps           : 61
% 0.23/3.41  # Proof object conjectures             : 116
% 0.23/3.41  # Proof object clause conjectures      : 113
% 0.23/3.41  # Proof object formula conjectures     : 3
% 0.23/3.41  # Proof object initial clauses used    : 36
% 0.23/3.41  # Proof object initial formulas used   : 30
% 0.23/3.41  # Proof object generating inferences   : 109
% 0.23/3.41  # Proof object simplifying inferences  : 50
% 0.23/3.41  # Training examples: 0 positive, 0 negative
% 0.23/3.41  # Parsed axioms                        : 95
% 0.23/3.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/3.41  # Initial clauses                      : 125
% 0.23/3.41  # Removed in clause preprocessing      : 0
% 0.23/3.41  # Initial clauses in saturation        : 125
% 0.23/3.41  # Processed clauses                    : 19083
% 0.23/3.41  # ...of these trivial                  : 6216
% 0.23/3.41  # ...subsumed                          : 2963
% 0.23/3.41  # ...remaining for further processing  : 9904
% 0.23/3.41  # Other redundant clauses eliminated   : 0
% 0.23/3.41  # Clauses deleted for lack of memory   : 0
% 0.23/3.41  # Backward-subsumed                    : 941
% 0.23/3.41  # Backward-rewritten                   : 5486
% 0.23/3.41  # Generated clauses                    : 189859
% 0.23/3.41  # ...of the previous two non-trivial   : 145450
% 0.23/3.41  # Contextual simplify-reflections      : 429
% 0.23/3.41  # Paramodulations                      : 189859
% 0.23/3.41  # Factorizations                       : 0
% 0.23/3.41  # Equation resolutions                 : 0
% 0.23/3.41  # Current number of processed clauses  : 3477
% 0.23/3.41  #    Positive orientable unit clauses  : 1808
% 0.23/3.41  #    Positive unorientable unit clauses: 0
% 0.23/3.41  #    Negative unit clauses             : 2
% 0.23/3.41  #    Non-unit-clauses                  : 1667
% 0.23/3.41  # Current number of unprocessed clauses: 66804
% 0.23/3.41  # ...number of literals in the above   : 222137
% 0.23/3.41  # Current number of archived formulas  : 0
% 0.23/3.41  # Current number of archived clauses   : 6427
% 0.23/3.41  # Clause-clause subsumption calls (NU) : 2775857
% 0.23/3.41  # Rec. Clause-clause subsumption calls : 1917843
% 0.23/3.41  # Non-unit clause-clause subsumptions  : 3946
% 0.23/3.41  # Unit Clause-clause subsumption calls : 536631
% 0.23/3.41  # Rewrite failures with RHS unbound    : 0
% 0.23/3.41  # BW rewrite match attempts            : 59427
% 0.23/3.41  # BW rewrite match successes           : 3631
% 0.23/3.41  # Condensation attempts                : 0
% 0.23/3.41  # Condensation successes               : 0
% 0.23/3.41  # Termbank termtop insertions          : 2611620
% 0.23/3.41  
% 0.23/3.41  # -------------------------------------------------
% 0.23/3.41  # User time                : 2.470 s
% 0.23/3.41  # System time              : 0.056 s
% 0.23/3.41  # Total time               : 2.526 s
% 0.23/3.41  # Maximum resident set size: 75748 pages
% 0.23/23.39  eprover: CPU time limit exceeded, terminating
% 0.23/23.40  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.41  eprover: No such file or directory
% 0.23/23.41  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.41  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/25.33  eprover: CPU time limit exceeded, terminating
% 0.23/25.35  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.35  eprover: No such file or directory
% 0.23/25.35  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.35  eprover: No such file or directory
% 0.23/25.36  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.36  eprover: No such file or directory
% 0.23/25.36  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.36  eprover: No such file or directory
% 0.23/25.37  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.37  eprover: No such file or directory
% 0.23/25.37  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.37  eprover: No such file or directory
% 0.23/25.38  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.38  eprover: No such file or directory
% 0.23/25.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.39  eprover: No such file or directory
% 0.23/25.39  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.39  eprover: No such file or directory
% 0.23/25.40  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/25.40  eprover: No such file or directory
%------------------------------------------------------------------------------