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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO659+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 04:06:58 EDT 2022

% Result   : Theorem 0.23s 3.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  193 (  83 unt;   0 def)
%            Number of atoms       :  382 (   0 equ)
%            Maximal formula atoms :   15 (   1 avg)
%            Number of connectives :  306 ( 117   ~; 114   |;  51   &)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-4 aty)
%            Number of variables   :  477 (  20 sgn 244   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02317,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23] :
      ( ( perp(X4,X1,X2,X3)
        & coll(X4,X2,X3)
        & perp(X5,X2,X1,X3)
        & coll(X5,X1,X3)
        & midp(X19,X1,X3)
        & perp(X1,X3,X19,X6)
        & midp(X20,X1,X2)
        & perp(X1,X2,X20,X6)
        & midp(X21,X3,X2)
        & perp(X3,X2,X21,X6)
        & coll(X2,X5,X13)
        & circle(X6,X2,X13,X22)
        & coll(X1,X4,X14)
        & circle(X6,X1,X14,X23) )
     => para(X4,X5,X13,X14) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULLmoreE02317) ).

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(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(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(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(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(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(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(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(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(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(ruleD55,axiom,
    ! [X1,X2,X7,X8] :
      ( ( midp(X7,X1,X2)
        & perp(X8,X7,X1,X2) )
     => cong(X8,X1,X8,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).

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(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(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(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(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(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(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(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(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(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(c_0_23,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23] :
        ( ( perp(X4,X1,X2,X3)
          & coll(X4,X2,X3)
          & perp(X5,X2,X1,X3)
          & coll(X5,X1,X3)
          & midp(X19,X1,X3)
          & perp(X1,X3,X19,X6)
          & midp(X20,X1,X2)
          & perp(X1,X2,X20,X6)
          & midp(X21,X3,X2)
          & perp(X3,X2,X21,X6)
          & coll(X2,X5,X13)
          & circle(X6,X2,X13,X22)
          & coll(X1,X4,X14)
          & circle(X6,X1,X14,X23) )
       => para(X4,X5,X13,X14) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02317]) ).

fof(c_0_24,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_25,negated_conjecture,
    ( perp(esk4_0,esk1_0,esk2_0,esk3_0)
    & coll(esk4_0,esk2_0,esk3_0)
    & perp(esk5_0,esk2_0,esk1_0,esk3_0)
    & coll(esk5_0,esk1_0,esk3_0)
    & midp(esk9_0,esk1_0,esk3_0)
    & perp(esk1_0,esk3_0,esk9_0,esk6_0)
    & midp(esk10_0,esk1_0,esk2_0)
    & perp(esk1_0,esk2_0,esk10_0,esk6_0)
    & midp(esk11_0,esk3_0,esk2_0)
    & perp(esk3_0,esk2_0,esk11_0,esk6_0)
    & coll(esk2_0,esk5_0,esk7_0)
    & circle(esk6_0,esk2_0,esk7_0,esk12_0)
    & coll(esk1_0,esk4_0,esk8_0)
    & circle(esk6_0,esk1_0,esk8_0,esk13_0)
    & ~ para(esk4_0,esk5_0,esk7_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).

fof(c_0_26,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_27,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    midp(esk9_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_29,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_30,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    midp(esk9_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

fof(c_0_32,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])]) ).

fof(c_0_33,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_34,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_35,negated_conjecture,
    cong(esk9_0,esk3_0,esk9_0,esk1_0),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    midp(esk10_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_37,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

fof(c_0_38,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_39,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_41,negated_conjecture,
    cong(esk9_0,esk3_0,esk1_0,esk9_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_42,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])]) ).

cnf(c_0_43,negated_conjecture,
    cong(esk10_0,esk1_0,esk10_0,esk2_0),
    inference(spm,[status(thm)],[c_0_30,c_0_36]) ).

fof(c_0_44,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_45,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,negated_conjecture,
    perp(esk3_0,esk2_0,esk11_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_47,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    ( para(X1,esk9_0,X2,esk3_0)
    | ~ midp(X1,esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_28]) ).

fof(c_0_49,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_50,negated_conjecture,
    cong(esk1_0,esk9_0,esk9_0,esk3_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_51,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,negated_conjecture,
    cong(esk10_0,esk1_0,esk2_0,esk10_0),
    inference(spm,[status(thm)],[c_0_34,c_0_43]) ).

fof(c_0_53,plain,
    ! [X9,X10,X11,X12] :
      ( ~ midp(X11,X9,X10)
      | ~ perp(X12,X11,X9,X10)
      | cong(X12,X9,X12,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_54,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_55,negated_conjecture,
    perp(esk3_0,esk2_0,esk6_0,esk11_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_56,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_57,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_58,negated_conjecture,
    ( eqangle(X1,esk9_0,X2,X3,X4,esk3_0,X2,X3)
    | ~ midp(X1,esk1_0,X4) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_59,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_60,negated_conjecture,
    cong(esk1_0,esk9_0,esk3_0,esk9_0),
    inference(spm,[status(thm)],[c_0_34,c_0_50]) ).

cnf(c_0_61,negated_conjecture,
    ( cong(X1,X2,esk10_0,esk2_0)
    | ~ cong(X1,X2,esk10_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_43]) ).

cnf(c_0_62,negated_conjecture,
    cong(esk2_0,esk10_0,esk10_0,esk1_0),
    inference(spm,[status(thm)],[c_0_40,c_0_52]) ).

cnf(c_0_63,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_64,negated_conjecture,
    perp(esk6_0,esk11_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_65,negated_conjecture,
    midp(esk11_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_66,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_67,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_68,negated_conjecture,
    perp(esk1_0,esk3_0,esk9_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

fof(c_0_69,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_70,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_71,negated_conjecture,
    eqangle(esk9_0,esk9_0,X1,X2,esk3_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_58,c_0_28]) ).

cnf(c_0_72,negated_conjecture,
    ( perp(esk1_0,esk3_0,X1,esk9_0)
    | ~ cong(esk1_0,X1,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_73,negated_conjecture,
    cong(esk2_0,esk10_0,esk10_0,esk2_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_74,negated_conjecture,
    cong(esk6_0,esk3_0,esk6_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).

cnf(c_0_75,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_76,negated_conjecture,
    ( para(X1,X2,esk9_0,esk6_0)
    | ~ perp(X1,X2,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_77,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_78,negated_conjecture,
    para(esk9_0,esk9_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_79,negated_conjecture,
    perp(esk1_0,esk3_0,esk9_0,esk9_0),
    inference(spm,[status(thm)],[c_0_72,c_0_60]) ).

fof(c_0_80,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])])])]) ).

cnf(c_0_81,negated_conjecture,
    cong(esk2_0,esk10_0,esk2_0,esk10_0),
    inference(spm,[status(thm)],[c_0_34,c_0_73]) ).

cnf(c_0_82,negated_conjecture,
    cong(esk6_0,esk3_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_34,c_0_74]) ).

cnf(c_0_83,negated_conjecture,
    ( para(X1,esk11_0,X2,esk2_0)
    | ~ midp(X1,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_65]) ).

cnf(c_0_84,negated_conjecture,
    cong(esk9_0,esk1_0,esk9_0,esk3_0),
    inference(spm,[status(thm)],[c_0_30,c_0_28]) ).

cnf(c_0_85,negated_conjecture,
    ( para(X1,X2,esk9_0,esk6_0)
    | ~ perp(X3,X4,esk1_0,esk3_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_86,negated_conjecture,
    para(esk3_0,esk3_0,esk9_0,esk9_0),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_87,negated_conjecture,
    perp(esk9_0,esk9_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_79]) ).

fof(c_0_88,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_89,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_90,negated_conjecture,
    ( perp(esk2_0,esk2_0,X1,esk10_0)
    | ~ cong(esk2_0,X1,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_81]) ).

cnf(c_0_91,negated_conjecture,
    ( cong(X1,X2,esk2_0,esk6_0)
    | ~ cong(X1,X2,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_82]) ).

cnf(c_0_92,negated_conjecture,
    cong(esk2_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_40,c_0_82]) ).

cnf(c_0_93,negated_conjecture,
    ( eqangle(X1,esk11_0,X2,X3,X4,esk2_0,X2,X3)
    | ~ midp(X1,esk3_0,X4) ),
    inference(spm,[status(thm)],[c_0_47,c_0_83]) ).

cnf(c_0_94,negated_conjecture,
    cong(esk9_0,esk1_0,esk3_0,esk9_0),
    inference(spm,[status(thm)],[c_0_34,c_0_84]) ).

cnf(c_0_95,negated_conjecture,
    para(esk3_0,esk3_0,esk9_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).

cnf(c_0_96,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_97,negated_conjecture,
    ( para(X1,esk3_0,X2,esk2_0)
    | ~ midp(esk11_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_65]) ).

cnf(c_0_98,negated_conjecture,
    perp(esk2_0,esk2_0,esk6_0,esk10_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).

cnf(c_0_99,negated_conjecture,
    eqangle(esk9_0,esk11_0,X1,X2,esk1_0,esk2_0,X1,X2),
    inference(spm,[status(thm)],[c_0_93,c_0_31]) ).

cnf(c_0_100,negated_conjecture,
    ( cong(X1,X2,esk9_0,esk3_0)
    | ~ cong(X1,X2,esk9_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_84]) ).

cnf(c_0_101,negated_conjecture,
    cong(esk3_0,esk9_0,esk9_0,esk1_0),
    inference(spm,[status(thm)],[c_0_40,c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    midp(esk11_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_27,c_0_65]) ).

fof(c_0_103,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_104,negated_conjecture,
    para(esk9_0,esk6_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_77,c_0_95]) ).

cnf(c_0_105,negated_conjecture,
    ( perp(X1,esk3_0,X2,X3)
    | ~ midp(esk11_0,X1,X4)
    | ~ perp(X4,esk2_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_106,negated_conjecture,
    perp(esk2_0,esk2_0,esk10_0,esk6_0),
    inference(spm,[status(thm)],[c_0_45,c_0_98]) ).

fof(c_0_107,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])]) ).

cnf(c_0_108,negated_conjecture,
    para(esk9_0,esk11_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_70,c_0_99]) ).

cnf(c_0_109,negated_conjecture,
    cong(esk3_0,esk9_0,esk9_0,esk3_0),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_110,negated_conjecture,
    cong(esk11_0,esk2_0,esk11_0,esk3_0),
    inference(spm,[status(thm)],[c_0_30,c_0_102]) ).

fof(c_0_111,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_112,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_103]) ).

cnf(c_0_113,negated_conjecture,
    eqangle(esk9_0,esk6_0,X1,X2,esk3_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_47,c_0_104]) ).

cnf(c_0_114,negated_conjecture,
    ( perp(X1,esk3_0,esk10_0,esk6_0)
    | ~ midp(esk11_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_115,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_116,negated_conjecture,
    para(esk1_0,esk2_0,esk9_0,esk11_0),
    inference(spm,[status(thm)],[c_0_77,c_0_108]) ).

cnf(c_0_117,negated_conjecture,
    cong(esk3_0,esk9_0,esk3_0,esk9_0),
    inference(spm,[status(thm)],[c_0_34,c_0_109]) ).

cnf(c_0_118,negated_conjecture,
    cong(esk11_0,esk2_0,esk3_0,esk11_0),
    inference(spm,[status(thm)],[c_0_34,c_0_110]) ).

cnf(c_0_119,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_111]) ).

cnf(c_0_120,negated_conjecture,
    eqangle(X1,X2,esk9_0,esk6_0,X1,X2,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_121,negated_conjecture,
    perp(esk3_0,esk3_0,esk10_0,esk6_0),
    inference(spm,[status(thm)],[c_0_114,c_0_65]) ).

cnf(c_0_122,negated_conjecture,
    para(esk1_0,esk2_0,esk11_0,esk9_0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_123,negated_conjecture,
    ( perp(esk3_0,esk3_0,X1,esk9_0)
    | ~ cong(esk3_0,X1,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_117]) ).

cnf(c_0_124,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk11_0)
    | ~ cong(X1,X2,esk11_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_118]) ).

cnf(c_0_125,negated_conjecture,
    cong(esk3_0,esk11_0,esk11_0,esk2_0),
    inference(spm,[status(thm)],[c_0_40,c_0_118]) ).

cnf(c_0_126,negated_conjecture,
    ( perp(X1,X2,esk9_0,esk6_0)
    | ~ perp(X1,X2,esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_127,negated_conjecture,
    perp(esk10_0,esk6_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_121]) ).

fof(c_0_128,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk18_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])])])]) ).

cnf(c_0_129,negated_conjecture,
    perp(esk1_0,esk2_0,esk10_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_130,negated_conjecture,
    ( perp(esk1_0,esk2_0,X1,X2)
    | ~ perp(esk11_0,esk9_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_96,c_0_122]) ).

cnf(c_0_131,negated_conjecture,
    perp(esk3_0,esk3_0,esk11_0,esk9_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]) ).

cnf(c_0_132,negated_conjecture,
    perp(esk10_0,esk6_0,esk9_0,esk6_0),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_133,plain,
    ( perp(esk18_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_134,negated_conjecture,
    ( para(X1,X2,esk10_0,esk6_0)
    | ~ perp(X1,X2,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_129]) ).

cnf(c_0_135,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk9_0,esk6_0)
    | ~ perp(esk11_0,esk9_0,esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_130]) ).

cnf(c_0_136,negated_conjecture,
    perp(esk11_0,esk9_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_131]) ).

cnf(c_0_137,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk9_0,esk6_0,X3,X4)
    | ~ perp(X1,X2,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_96,c_0_76]) ).

cnf(c_0_138,negated_conjecture,
    perp(esk9_0,esk6_0,esk10_0,esk6_0),
    inference(spm,[status(thm)],[c_0_54,c_0_132]) ).

cnf(c_0_139,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk18_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_67,c_0_133]) ).

cnf(c_0_140,plain,
    ( perp(X1,X2,esk18_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_54,c_0_133]) ).

cnf(c_0_141,negated_conjecture,
    perp(esk5_0,esk2_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_142,negated_conjecture,
    ( para(X1,X2,esk10_0,esk6_0)
    | ~ perp(X3,X4,esk1_0,esk2_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_75,c_0_134]) ).

cnf(c_0_143,negated_conjecture,
    perp(esk1_0,esk2_0,esk9_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136])]) ).

cnf(c_0_144,negated_conjecture,
    ( perp(X1,X2,esk10_0,esk6_0)
    | ~ perp(X1,X2,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_145,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_146,negated_conjecture,
    circle(esk6_0,esk2_0,esk7_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_147,negated_conjecture,
    ( para(X1,X2,esk1_0,esk3_0)
    | ~ perp(X1,X2,esk5_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_141]) ).

cnf(c_0_148,negated_conjecture,
    ( para(esk3_0,esk3_0,esk10_0,esk6_0)
    | ~ perp(esk9_0,esk6_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_95]) ).

cnf(c_0_149,negated_conjecture,
    perp(esk9_0,esk6_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_143]) ).

cnf(c_0_150,negated_conjecture,
    perp(esk5_0,esk2_0,esk10_0,esk6_0),
    inference(spm,[status(thm)],[c_0_144,c_0_141]) ).

cnf(c_0_151,negated_conjecture,
    para(esk2_0,esk6_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_152,negated_conjecture,
    ( para(X1,X2,esk1_0,esk3_0)
    | ~ perp(X3,X4,esk5_0,esk2_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_75,c_0_147]) ).

cnf(c_0_153,negated_conjecture,
    para(esk3_0,esk3_0,esk10_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).

cnf(c_0_154,negated_conjecture,
    perp(esk10_0,esk6_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_150]) ).

cnf(c_0_155,negated_conjecture,
    eqangle(esk2_0,esk6_0,X1,X2,esk2_0,esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_47,c_0_151]) ).

fof(c_0_156,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_157,negated_conjecture,
    para(esk3_0,esk3_0,esk1_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154])]) ).

cnf(c_0_158,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk6_0,X1,X2,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_112,c_0_155]) ).

cnf(c_0_159,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_156]) ).

cnf(c_0_160,negated_conjecture,
    para(esk1_0,esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_77,c_0_157]) ).

cnf(c_0_161,negated_conjecture,
    ( para(X1,esk3_0,X2,esk1_0)
    | ~ midp(esk9_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_89,c_0_31]) ).

cnf(c_0_162,negated_conjecture,
    perp(esk5_0,esk2_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_45,c_0_141]) ).

cnf(c_0_163,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_70,c_0_158]) ).

cnf(c_0_164,negated_conjecture,
    ( midp(X1,esk3_0,esk3_0)
    | ~ midp(X1,esk1_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_160])]) ).

cnf(c_0_165,negated_conjecture,
    ( perp(X1,esk3_0,X2,X3)
    | ~ midp(esk9_0,X1,X4)
    | ~ perp(X4,esk1_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_161]) ).

cnf(c_0_166,negated_conjecture,
    perp(esk3_0,esk1_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_162]) ).

cnf(c_0_167,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_163]),c_0_163])]) ).

cnf(c_0_168,negated_conjecture,
    midp(esk9_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_164,c_0_28]) ).

cnf(c_0_169,negated_conjecture,
    ( para(esk9_0,esk9_0,esk1_0,esk3_0)
    | ~ perp(esk3_0,esk3_0,esk5_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_78]) ).

cnf(c_0_170,negated_conjecture,
    ( perp(X1,esk3_0,esk5_0,esk2_0)
    | ~ midp(esk9_0,X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_171,negated_conjecture,
    midp(esk9_0,X1,X1),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_172,negated_conjecture,
    ( para(esk9_0,esk9_0,esk3_0,esk1_0)
    | ~ perp(esk3_0,esk3_0,esk5_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_169]) ).

cnf(c_0_173,negated_conjecture,
    ( para(esk1_0,esk3_0,esk9_0,esk9_0)
    | ~ perp(esk3_0,esk3_0,esk5_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_169]) ).

cnf(c_0_174,negated_conjecture,
    perp(esk3_0,esk3_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_175,negated_conjecture,
    cong(esk9_0,X1,esk9_0,X1),
    inference(spm,[status(thm)],[c_0_30,c_0_171]) ).

cnf(c_0_176,negated_conjecture,
    ( para(esk3_0,esk1_0,esk9_0,esk9_0)
    | ~ perp(esk3_0,esk3_0,esk5_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_172]) ).

cnf(c_0_177,negated_conjecture,
    perp(esk1_0,esk3_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_141]) ).

cnf(c_0_178,negated_conjecture,
    para(esk1_0,esk3_0,esk9_0,esk9_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_174])]) ).

cnf(c_0_179,negated_conjecture,
    perp(esk9_0,esk9_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_175]),c_0_175])]) ).

cnf(c_0_180,negated_conjecture,
    para(esk3_0,esk1_0,esk9_0,esk9_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_174])]) ).

cnf(c_0_181,negated_conjecture,
    ( para(X1,X2,esk5_0,esk2_0)
    | ~ perp(X1,X2,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_177]) ).

cnf(c_0_182,negated_conjecture,
    perp(esk1_0,esk3_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_178]),c_0_179])]) ).

cnf(c_0_183,negated_conjecture,
    perp(esk3_0,esk1_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_180]),c_0_179])]) ).

cnf(c_0_184,negated_conjecture,
    ( para(esk5_0,esk2_0,X1,X2)
    | ~ perp(X1,X2,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_181]) ).

cnf(c_0_185,negated_conjecture,
    perp(X1,X2,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_182]) ).

cnf(c_0_186,negated_conjecture,
    ( para(X1,X2,esk5_0,esk2_0)
    | ~ perp(X1,X2,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_166]) ).

cnf(c_0_187,negated_conjecture,
    perp(X1,X2,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_54,c_0_183]) ).

cnf(c_0_188,negated_conjecture,
    para(esk5_0,esk2_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).

cnf(c_0_189,negated_conjecture,
    para(X1,X2,esk5_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187])]) ).

cnf(c_0_190,negated_conjecture,
    ~ para(esk4_0,esk5_0,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_191,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_188]),c_0_189])]) ).

cnf(c_0_192,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_190,c_0_191])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO659+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12  % 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 07:50:28 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             : 193
% 0.23/3.42  # Proof object clause steps            : 146
% 0.23/3.42  # Proof object formula steps           : 47
% 0.23/3.42  # Proof object conjectures             : 124
% 0.23/3.42  # Proof object clause conjectures      : 121
% 0.23/3.42  # Proof object formula conjectures     : 3
% 0.23/3.42  # Proof object initial clauses used    : 31
% 0.23/3.42  # Proof object initial formulas used   : 23
% 0.23/3.42  # Proof object generating inferences   : 108
% 0.23/3.42  # Proof object simplifying inferences  : 36
% 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                      : 107
% 0.23/3.42  # Removed in clause preprocessing      : 0
% 0.23/3.42  # Initial clauses in saturation        : 107
% 0.23/3.42  # Processed clauses                    : 7742
% 0.23/3.42  # ...of these trivial                  : 641
% 0.23/3.42  # ...subsumed                          : 1666
% 0.23/3.42  # ...remaining for further processing  : 5435
% 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                    : 432
% 0.23/3.42  # Backward-rewritten                   : 3042
% 0.23/3.42  # Generated clauses                    : 77798
% 0.23/3.42  # ...of the previous two non-trivial   : 69582
% 0.23/3.42  # Contextual simplify-reflections      : 53
% 0.23/3.42  # Paramodulations                      : 77798
% 0.23/3.42  # Factorizations                       : 0
% 0.23/3.42  # Equation resolutions                 : 0
% 0.23/3.42  # Current number of processed clauses  : 1961
% 0.23/3.42  #    Positive orientable unit clauses  : 705
% 0.23/3.42  #    Positive unorientable unit clauses: 0
% 0.23/3.42  #    Negative unit clauses             : 0
% 0.23/3.42  #    Non-unit-clauses                  : 1256
% 0.23/3.42  # Current number of unprocessed clauses: 17523
% 0.23/3.42  # ...number of literals in the above   : 58638
% 0.23/3.42  # Current number of archived formulas  : 0
% 0.23/3.42  # Current number of archived clauses   : 3474
% 0.23/3.42  # Clause-clause subsumption calls (NU) : 1134460
% 0.23/3.42  # Rec. Clause-clause subsumption calls : 801966
% 0.23/3.42  # Non-unit clause-clause subsumptions  : 1822
% 0.23/3.42  # Unit Clause-clause subsumption calls : 202800
% 0.23/3.42  # Rewrite failures with RHS unbound    : 0
% 0.23/3.42  # BW rewrite match attempts            : 93397
% 0.23/3.42  # BW rewrite match successes           : 2450
% 0.23/3.42  # Condensation attempts                : 0
% 0.23/3.42  # Condensation successes               : 0
% 0.23/3.42  # Termbank termtop insertions          : 1127563
% 0.23/3.42  
% 0.23/3.42  # -------------------------------------------------
% 0.23/3.42  # User time                : 2.066 s
% 0.23/3.42  # System time              : 0.027 s
% 0.23/3.42  # Total time               : 2.093 s
% 0.23/3.42  # Maximum resident set size: 44396 pages
% 0.23/23.40  eprover: CPU time limit exceeded, terminating
% 0.23/23.40  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 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
% 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
% 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
% 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.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
% 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.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
% 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.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
% 0.23/23.45  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
% 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
% 0.23/23.46  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
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  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
% 0.23/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------