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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO646+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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 04:06:53 EDT 2022

% Result   : Theorem 0.23s 3.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  172 (  48 unt;   0 def)
%            Number of atoms       :  385 (   0 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  348 ( 135   ~; 132   |;  46   &)
%                                         (   0 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   15 (  15 usr;  14 con; 0-4 aty)
%            Number of variables   :  656 (  21 sgn 362   !;   1   ?)

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

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

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(exemplo6GDDFULLmoreE0133,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24] :
      ( ( circle(X1,X2,X19,X20)
        & perp(X1,X2,X2,X4)
        & circle(X1,X2,X3,X21)
        & perp(X1,X3,X3,X4)
        & circle(X1,X2,X5,X22)
        & coll(X6,X4,X5)
        & circle(X1,X2,X6,X23)
        & midp(X13,X5,X6)
        & coll(X3,X13,X14)
        & circle(X1,X3,X14,X24) )
     => para(X5,X6,X2,X14) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULLmoreE0133) ).

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(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(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(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(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(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(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(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(ruleD57,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10)
        & cyclic(X1,X2,X9,X10) )
     => perp(X9,X1,X1,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

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(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

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

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

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(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

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

fof(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(ruleD18,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X2,X1,X3,X4,X9,X10,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

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(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

fof(ruleD20,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

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(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(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(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(c_0_34,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_35,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk19_4(X10,X11,X12,X13),X10,X10,X13) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_36,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_37,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_38,plain,
    ( perp(esk19_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_39,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_40,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24] :
        ( ( circle(X1,X2,X19,X20)
          & perp(X1,X2,X2,X4)
          & circle(X1,X2,X3,X21)
          & perp(X1,X3,X3,X4)
          & circle(X1,X2,X5,X22)
          & coll(X6,X4,X5)
          & circle(X1,X2,X6,X23)
          & midp(X13,X5,X6)
          & coll(X3,X13,X14)
          & circle(X1,X3,X14,X24) )
       => para(X5,X6,X2,X14) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0133]) ).

cnf(c_0_41,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk19_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    ( perp(X1,X2,esk19_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_39,c_0_38]) ).

fof(c_0_43,negated_conjecture,
    ( circle(esk1_0,esk2_0,esk9_0,esk10_0)
    & perp(esk1_0,esk2_0,esk2_0,esk4_0)
    & circle(esk1_0,esk2_0,esk3_0,esk11_0)
    & perp(esk1_0,esk3_0,esk3_0,esk4_0)
    & circle(esk1_0,esk2_0,esk5_0,esk12_0)
    & coll(esk6_0,esk4_0,esk5_0)
    & circle(esk1_0,esk2_0,esk6_0,esk13_0)
    & midp(esk7_0,esk5_0,esk6_0)
    & coll(esk3_0,esk7_0,esk8_0)
    & circle(esk1_0,esk3_0,esk8_0,esk14_0)
    & ~ para(esk5_0,esk6_0,esk2_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])]) ).

fof(c_0_44,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_45,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    circle(esk1_0,esk3_0,esk8_0,esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_47,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])]) ).

cnf(c_0_48,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    para(esk3_0,esk1_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_50,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])])])]) ).

cnf(c_0_51,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_47]) ).

cnf(c_0_52,negated_conjecture,
    eqangle(esk3_0,esk1_0,X1,X2,esk3_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_53,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_54,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    eqangle(X1,X2,esk3_0,esk1_0,X1,X2,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_56,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_57,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_58,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_60,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

fof(c_0_61,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

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

cnf(c_0_63,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_60,c_0_59]) ).

fof(c_0_65,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ midp(X12,X10,X11)
      | para(X8,X10,X9,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).

fof(c_0_66,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_67,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | ~ cyclic(X11,X12,X13,X14)
      | perp(X13,X11,X11,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).

fof(c_0_68,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_69,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_70,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_71,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

fof(c_0_72,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_73,negated_conjecture,
    eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
    inference(spm,[status(thm)],[c_0_48,c_0_64]) ).

fof(c_0_74,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_75,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_76,negated_conjecture,
    midp(esk7_0,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_77,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_78,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

fof(c_0_79,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_80,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cyclic(X2,X4,X1,X3)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_81,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_68]) ).

cnf(c_0_82,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_83,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

fof(c_0_84,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_85,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_86,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
    inference(spm,[status(thm)],[c_0_51,c_0_73]) ).

cnf(c_0_87,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_88,negated_conjecture,
    ( para(X1,esk5_0,X2,esk6_0)
    | ~ midp(esk7_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

fof(c_0_89,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_90,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_91,negated_conjecture,
    cong(esk7_0,esk5_0,esk7_0,esk6_0),
    inference(spm,[status(thm)],[c_0_78,c_0_76]) ).

cnf(c_0_92,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

fof(c_0_93,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ midp(X11,X7,X9)
      | para(X10,X11,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_94,plain,
    ( perp(X1,X2,X2,X3)
    | ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1)
    | ~ coll(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_95,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_83])]) ).

fof(c_0_96,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_97,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_84]) ).

cnf(c_0_98,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_99,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2)
    | ~ coll(X4,X3,X2) ),
    inference(spm,[status(thm)],[c_0_87,c_0_81]) ).

cnf(c_0_100,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
    inference(spm,[status(thm)],[c_0_48,c_0_59]) ).

cnf(c_0_101,negated_conjecture,
    ( eqangle(X1,esk5_0,X2,X3,X4,esk6_0,X2,X3)
    | ~ midp(esk7_0,X1,X4) ),
    inference(spm,[status(thm)],[c_0_48,c_0_88]) ).

cnf(c_0_102,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_103,negated_conjecture,
    cong(esk7_0,esk5_0,esk6_0,esk7_0),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_104,negated_conjecture,
    midp(esk7_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_92,c_0_76]) ).

fof(c_0_105,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ cong(X7,X8,X9,X10)
      | ~ cong(X9,X10,X11,X12)
      | cong(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

fof(c_0_106,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_107,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_108,plain,
    ( perp(X1,X2,X2,X3)
    | ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).

cnf(c_0_109,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_110,negated_conjecture,
    ( cong(X1,X1,X2,X2)
    | ~ cyclic(X1,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_111,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_95])]) ).

cnf(c_0_112,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_85,c_0_100]) ).

fof(c_0_113,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X14,X13,X15,X16,X17,X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).

cnf(c_0_114,negated_conjecture,
    eqangle(esk5_0,esk5_0,X1,X2,esk6_0,esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_101,c_0_76]) ).

fof(c_0_115,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_116,negated_conjecture,
    cong(esk6_0,esk7_0,esk7_0,esk5_0),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_117,negated_conjecture,
    cong(esk7_0,esk6_0,esk7_0,esk5_0),
    inference(spm,[status(thm)],[c_0_78,c_0_104]) ).

cnf(c_0_118,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_119,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_120,negated_conjecture,
    ( para(X1,esk7_0,X2,esk6_0)
    | ~ midp(X1,esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_107,c_0_76]) ).

cnf(c_0_121,plain,
    ( perp(X1,X1,X1,X1)
    | ~ cong(X1,X1,X1,X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_122,negated_conjecture,
    cong(X1,X1,X2,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]) ).

cnf(c_0_123,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X2,X1,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_124,negated_conjecture,
    eqangle(X1,X2,esk5_0,esk5_0,X1,X2,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_51,c_0_114]) ).

cnf(c_0_125,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_126,negated_conjecture,
    cong(esk6_0,esk7_0,esk5_0,esk7_0),
    inference(spm,[status(thm)],[c_0_90,c_0_116]) ).

cnf(c_0_127,negated_conjecture,
    cong(esk7_0,esk6_0,esk5_0,esk7_0),
    inference(spm,[status(thm)],[c_0_90,c_0_117]) ).

cnf(c_0_128,negated_conjecture,
    ( cong(X1,X2,esk7_0,esk6_0)
    | ~ cong(X1,X2,esk7_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_118,c_0_91]) ).

fof(c_0_129,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ perp(X17,X18,X19,X20)
      | perp(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).

cnf(c_0_130,negated_conjecture,
    ( perp(X1,esk7_0,X2,X3)
    | ~ midp(X1,esk5_0,X4)
    | ~ perp(X4,esk6_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_131,plain,
    perp(X1,X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).

fof(c_0_132,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_133,negated_conjecture,
    eqangle(X1,X2,esk5_0,esk5_0,X2,X1,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_134,negated_conjecture,
    ( perp(esk6_0,esk5_0,X1,esk7_0)
    | ~ cong(esk6_0,X1,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_135,negated_conjecture,
    ( cong(X1,X2,esk5_0,esk7_0)
    | ~ cong(X1,X2,esk7_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_118,c_0_127]) ).

cnf(c_0_136,negated_conjecture,
    cong(esk6_0,esk7_0,esk7_0,esk6_0),
    inference(spm,[status(thm)],[c_0_128,c_0_116]) ).

cnf(c_0_137,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_138,negated_conjecture,
    ( perp(X1,esk7_0,esk6_0,esk6_0)
    | ~ midp(X1,esk5_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

fof(c_0_139,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ para(X17,X18,X19,X20)
      | para(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])])]) ).

cnf(c_0_140,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_141,negated_conjecture,
    eqangle(esk5_0,esk5_0,X1,X2,esk6_0,esk6_0,X2,X1),
    inference(spm,[status(thm)],[c_0_51,c_0_133]) ).

cnf(c_0_142,negated_conjecture,
    perp(esk6_0,esk5_0,esk7_0,esk7_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).

cnf(c_0_143,negated_conjecture,
    ( perp(X1,X2,esk5_0,esk5_0)
    | ~ perp(X2,X1,esk6_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_133]) ).

cnf(c_0_144,negated_conjecture,
    perp(esk7_0,esk7_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_138,c_0_76]) ).

cnf(c_0_145,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_146,negated_conjecture,
    eqangle(esk6_0,esk6_0,X1,X2,esk5_0,esk5_0,X2,X1),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_147,negated_conjecture,
    perp(esk7_0,esk7_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_39,c_0_142]) ).

cnf(c_0_148,negated_conjecture,
    perp(esk7_0,esk7_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

fof(c_0_149,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_150,negated_conjecture,
    ( para(esk6_0,esk6_0,X1,X2)
    | ~ para(esk5_0,esk5_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_151,negated_conjecture,
    ( para(X1,X2,esk6_0,esk5_0)
    | ~ perp(X1,X2,esk7_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_147]) ).

cnf(c_0_152,negated_conjecture,
    perp(esk5_0,esk5_0,esk7_0,esk7_0),
    inference(spm,[status(thm)],[c_0_39,c_0_148]) ).

fof(c_0_153,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])]) ).

cnf(c_0_154,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_155,negated_conjecture,
    para(esk6_0,esk6_0,esk5_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152])]) ).

cnf(c_0_156,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_153]) ).

cnf(c_0_157,negated_conjecture,
    para(esk5_0,esk6_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_158,negated_conjecture,
    ( midp(X1,esk6_0,esk6_0)
    | ~ midp(X1,esk5_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_157])]) ).

cnf(c_0_159,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_59]),c_0_59])]) ).

cnf(c_0_160,negated_conjecture,
    midp(esk7_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_158,c_0_76]) ).

cnf(c_0_161,negated_conjecture,
    midp(esk7_0,X1,X1),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_162,negated_conjecture,
    cong(esk7_0,X1,esk7_0,X1),
    inference(spm,[status(thm)],[c_0_78,c_0_161]) ).

cnf(c_0_163,negated_conjecture,
    perp(esk7_0,esk7_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_162]),c_0_162])]) ).

cnf(c_0_164,negated_conjecture,
    perp(X1,X2,esk7_0,esk7_0),
    inference(spm,[status(thm)],[c_0_39,c_0_163]) ).

fof(c_0_165,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])]) ).

cnf(c_0_166,negated_conjecture,
    para(X1,X2,esk6_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_164])]) ).

cnf(c_0_167,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_168,negated_conjecture,
    para(esk6_0,esk5_0,X1,X2),
    inference(spm,[status(thm)],[c_0_154,c_0_166]) ).

cnf(c_0_169,negated_conjecture,
    ~ para(esk5_0,esk6_0,esk2_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_170,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_166])]) ).

cnf(c_0_171,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GEO646+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n025.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 16:31:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/3.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/3.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/3.42  # Preprocessing time       : 0.024 s
% 0.23/3.42  
% 0.23/3.42  # Proof found!
% 0.23/3.42  # SZS status Theorem
% 0.23/3.42  # SZS output start CNFRefutation
% See solution above
% 0.23/3.42  # Proof object total steps             : 172
% 0.23/3.42  # Proof object clause steps            : 103
% 0.23/3.42  # Proof object formula steps           : 69
% 0.23/3.42  # Proof object conjectures             : 64
% 0.23/3.42  # Proof object clause conjectures      : 61
% 0.23/3.42  # Proof object formula conjectures     : 3
% 0.23/3.42  # Proof object initial clauses used    : 36
% 0.23/3.42  # Proof object initial formulas used   : 34
% 0.23/3.42  # Proof object generating inferences   : 62
% 0.23/3.42  # Proof object simplifying inferences  : 26
% 0.23/3.42  # Training examples: 0 positive, 0 negative
% 0.23/3.42  # Parsed axioms                        : 95
% 0.23/3.42  # Removed by relevancy pruning/SinE    : 21
% 0.23/3.42  # Initial clauses                      : 103
% 0.23/3.42  # Removed in clause preprocessing      : 0
% 0.23/3.42  # Initial clauses in saturation        : 103
% 0.23/3.42  # Processed clauses                    : 9822
% 0.23/3.42  # ...of these trivial                  : 2371
% 0.23/3.42  # ...subsumed                          : 2561
% 0.23/3.42  # ...remaining for further processing  : 4890
% 0.23/3.42  # Other redundant clauses eliminated   : 0
% 0.23/3.42  # Clauses deleted for lack of memory   : 0
% 0.23/3.42  # Backward-subsumed                    : 430
% 0.23/3.42  # Backward-rewritten                   : 2511
% 0.23/3.42  # Generated clauses                    : 111960
% 0.23/3.42  # ...of the previous two non-trivial   : 90801
% 0.23/3.42  # Contextual simplify-reflections      : 63
% 0.23/3.42  # Paramodulations                      : 111960
% 0.23/3.42  # Factorizations                       : 0
% 0.23/3.42  # Equation resolutions                 : 0
% 0.23/3.42  # Current number of processed clauses  : 1949
% 0.23/3.42  #    Positive orientable unit clauses  : 407
% 0.23/3.42  #    Positive unorientable unit clauses: 0
% 0.23/3.42  #    Negative unit clauses             : 0
% 0.23/3.42  #    Non-unit-clauses                  : 1542
% 0.23/3.42  # Current number of unprocessed clauses: 24005
% 0.23/3.42  # ...number of literals in the above   : 85101
% 0.23/3.42  # Current number of archived formulas  : 0
% 0.23/3.42  # Current number of archived clauses   : 2941
% 0.23/3.42  # Clause-clause subsumption calls (NU) : 1048180
% 0.23/3.42  # Rec. Clause-clause subsumption calls : 654358
% 0.23/3.42  # Non-unit clause-clause subsumptions  : 2716
% 0.23/3.42  # Unit Clause-clause subsumption calls : 86061
% 0.23/3.42  # Rewrite failures with RHS unbound    : 0
% 0.23/3.42  # BW rewrite match attempts            : 61993
% 0.23/3.42  # BW rewrite match successes           : 1833
% 0.23/3.42  # Condensation attempts                : 0
% 0.23/3.42  # Condensation successes               : 0
% 0.23/3.42  # Termbank termtop insertions          : 1610182
% 0.23/3.42  
% 0.23/3.42  # -------------------------------------------------
% 0.23/3.42  # User time                : 2.284 s
% 0.23/3.42  # System time              : 0.032 s
% 0.23/3.42  # Total time               : 2.316 s
% 0.23/3.42  # Maximum resident set size: 55660 pages
% 0.23/23.40  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 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
% 0.23/23.47  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
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  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
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------