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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO583+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:06:28 EDT 2022

% Result   : Theorem 0.12s 2.46s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  310 (  93 unt;   0 def)
%            Number of atoms       :  644 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  586 ( 252   ~; 249   |;  46   &)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-4 aty)
%            Number of variables   :  807 (  21 sgn 374   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/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(exemplo6GDDFULL416045,conjecture,
    ! [X1,X2,X3,X8,X4,X10,X19,X20,X7,X21,X22] :
      ( ( circle(X8,X1,X2,X3)
        & circle(X8,X1,X4,X22)
        & midp(X10,X3,X2)
        & midp(X19,X1,X4)
        & midp(X20,X19,X10)
        & coll(X8,X20,X7)
        & cong(X8,X20,X8,X7)
        & coll(X21,X1,X4)
        & coll(X21,X2,X3) )
     => perp(X19,X7,X2,X3) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL416045) ).

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

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(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

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(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(ruleX14,axiom,
    ! [X1,X2,X3,X4] :
    ? [X8] :
      ( ( perp(X1,X3,X3,X2)
        & cyclic(X1,X2,X3,X4) )
     => circle(X8,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).

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(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(ruleD53,axiom,
    ! [X1,X2,X3,X8] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X8,X1,X3) )
     => perp(X1,X2,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).

fof(ruleD51,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X7,X2,X3)
        & eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
     => midp(X7,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).

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(ruleD12,axiom,
    ! [X1,X2,X3,X8] :
      ( ( cong(X8,X1,X8,X2)
        & cong(X8,X1,X8,X3) )
     => circle(X8,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).

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(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(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(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(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(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(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(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(ruleD52,axiom,
    ! [X1,X2,X3,X7] :
      ( ( perp(X1,X2,X2,X3)
        & midp(X7,X1,X3) )
     => cong(X1,X7,X2,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).

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(c_0_38,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_39,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk26_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_40,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])]) ).

fof(c_0_41,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X4,X10,X19,X20,X7,X21,X22] :
        ( ( circle(X8,X1,X2,X3)
          & circle(X8,X1,X4,X22)
          & midp(X10,X3,X2)
          & midp(X19,X1,X4)
          & midp(X20,X19,X10)
          & coll(X8,X20,X7)
          & cong(X8,X20,X8,X7)
          & coll(X21,X1,X4)
          & coll(X21,X2,X3) )
       => perp(X19,X7,X2,X3) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416045]) ).

cnf(c_0_42,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    ( perp(esk26_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_44,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_45,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_46,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & circle(esk4_0,esk1_0,esk5_0,esk11_0)
    & midp(esk6_0,esk3_0,esk2_0)
    & midp(esk7_0,esk1_0,esk5_0)
    & midp(esk8_0,esk7_0,esk6_0)
    & coll(esk4_0,esk8_0,esk9_0)
    & cong(esk4_0,esk8_0,esk4_0,esk9_0)
    & coll(esk10_0,esk1_0,esk5_0)
    & coll(esk10_0,esk2_0,esk3_0)
    & ~ perp(esk7_0,esk9_0,esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).

fof(c_0_47,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_48,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk26_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_49,plain,
    ( perp(X1,X2,esk26_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_44,c_0_43]) ).

fof(c_0_50,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_51,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,negated_conjecture,
    midp(esk7_0,esk1_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_53,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_54,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_55,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_57,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_58,negated_conjecture,
    cong(esk7_0,esk1_0,esk7_0,esk5_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_59,negated_conjecture,
    midp(esk7_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_53,c_0_52]) ).

fof(c_0_60,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_61,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_62,negated_conjecture,
    para(esk1_0,esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_63,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_64,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_65,negated_conjecture,
    ( cong(X1,X2,esk7_0,esk5_0)
    | ~ cong(X1,X2,esk7_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_66,negated_conjecture,
    cong(esk7_0,esk5_0,esk7_0,esk1_0),
    inference(spm,[status(thm)],[c_0_51,c_0_59]) ).

fof(c_0_67,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_68,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_60]) ).

cnf(c_0_69,negated_conjecture,
    eqangle(esk1_0,esk4_0,X1,X2,esk1_0,esk4_0,X1,X2),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_70,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

fof(c_0_71,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_72,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_73,negated_conjecture,
    cong(esk7_0,esk5_0,esk7_0,esk5_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_74,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_75,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk4_0,X1,X2,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_77,negated_conjecture,
    ( para(X1,esk1_0,X2,esk5_0)
    | ~ midp(esk7_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_52]) ).

fof(c_0_78,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_79,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_80,negated_conjecture,
    ( perp(esk7_0,esk7_0,X1,esk5_0)
    | ~ cong(esk7_0,X1,esk7_0,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

fof(c_0_81,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_82,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_83,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_84,negated_conjecture,
    ( eqangle(X1,esk1_0,X2,X3,X4,esk5_0,X2,X3)
    | ~ midp(esk7_0,X1,X4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_77]) ).

fof(c_0_85,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_86,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_87,negated_conjecture,
    ( para(X1,esk7_0,X2,esk5_0)
    | ~ midp(X1,esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_52]) ).

cnf(c_0_88,negated_conjecture,
    perp(esk7_0,esk7_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_80,c_0_73]) ).

fof(c_0_89,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_90,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_91,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

fof(c_0_92,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_93,negated_conjecture,
    eqangle(esk1_0,esk1_0,X1,X2,esk5_0,esk5_0,X1,X2),
    inference(spm,[status(thm)],[c_0_84,c_0_52]) ).

fof(c_0_94,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_95,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_85]) ).

cnf(c_0_96,negated_conjecture,
    ( perp(X1,esk7_0,X2,X3)
    | ~ midp(X1,esk1_0,X4)
    | ~ perp(X4,esk5_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_97,negated_conjecture,
    perp(esk5_0,esk5_0,esk7_0,esk7_0),
    inference(spm,[status(thm)],[c_0_44,c_0_88]) ).

fof(c_0_98,plain,
    ! [X9,X10,X11,X12] :
      ( ~ perp(X9,X11,X11,X10)
      | ~ cyclic(X9,X10,X11,X12)
      | circle(esk30_3(X9,X10,X11),X9,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX14])])])])]) ).

fof(c_0_99,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_100,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_101,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_102,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_103,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_92]) ).

cnf(c_0_104,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk1_0,X1,X2,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_68,c_0_93]) ).

cnf(c_0_105,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_94]) ).

cnf(c_0_106,negated_conjecture,
    eqangle(esk1_0,esk1_0,esk5_0,esk5_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_95,c_0_93]) ).

cnf(c_0_107,negated_conjecture,
    ( perp(X1,esk7_0,esk7_0,esk7_0)
    | ~ midp(X1,esk1_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

fof(c_0_108,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_109,negated_conjecture,
    midp(esk8_0,esk7_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_110,plain,
    ( circle(esk30_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ perp(X1,X3,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_111,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_99]) ).

cnf(c_0_112,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_113,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_114,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk1_0,X2,X1,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_115,negated_conjecture,
    ( perp(esk1_0,esk1_0,esk5_0,esk5_0)
    | ~ perp(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_116,negated_conjecture,
    perp(esk7_0,esk7_0,esk7_0,esk7_0),
    inference(spm,[status(thm)],[c_0_107,c_0_52]) ).

cnf(c_0_117,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_118,negated_conjecture,
    cong(esk8_0,esk7_0,esk8_0,esk6_0),
    inference(spm,[status(thm)],[c_0_51,c_0_109]) ).

cnf(c_0_119,negated_conjecture,
    midp(esk8_0,esk6_0,esk7_0),
    inference(spm,[status(thm)],[c_0_53,c_0_109]) ).

fof(c_0_120,plain,
    ! [X9,X10,X11,X12] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ coll(X12,X9,X11)
      | perp(X9,X10,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])])]) ).

cnf(c_0_121,plain,
    ( circle(esk30_3(X1,X2,X3),X1,X2,X3)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ perp(X1,X3,X3,X2)
    | ~ coll(X3,X4,X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_122,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_113])]) ).

cnf(c_0_123,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
    inference(spm,[status(thm)],[c_0_61,c_0_83]) ).

cnf(c_0_124,negated_conjecture,
    eqangle(X1,X2,X2,X1,esk1_0,esk1_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_95,c_0_114]) ).

cnf(c_0_125,negated_conjecture,
    perp(esk1_0,esk1_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_126,negated_conjecture,
    midp(esk6_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_127,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ coll(X13,X10,X11)
      | ~ eqangle(X9,X10,X9,X11,X12,X10,X12,X13)
      | midp(X13,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).

cnf(c_0_128,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_75,c_0_117]) ).

cnf(c_0_129,plain,
    ( eqangle(X1,X2,X1,X3,X1,X3,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_103,c_0_117]) ).

cnf(c_0_130,negated_conjecture,
    ( cong(X1,X2,esk8_0,esk6_0)
    | ~ cong(X1,X2,esk8_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_118]) ).

cnf(c_0_131,negated_conjecture,
    cong(esk8_0,esk6_0,esk8_0,esk7_0),
    inference(spm,[status(thm)],[c_0_51,c_0_119]) ).

cnf(c_0_132,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_133,plain,
    ( circle(esk30_3(X1,X2,X3),X1,X2,X3)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ perp(X1,X3,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122])]) ).

cnf(c_0_134,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_95,c_0_123]) ).

cnf(c_0_135,negated_conjecture,
    perp(X1,X2,X2,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_124]),c_0_125])]) ).

fof(c_0_136,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_137,negated_conjecture,
    midp(esk6_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_53,c_0_126]) ).

cnf(c_0_138,plain,
    ( midp(X1,X2,X3)
    | ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
    | ~ coll(X1,X2,X3)
    | ~ circle(X5,X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_139,plain,
    ( coll(X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_128]) ).

fof(c_0_140,plain,
    ! [X9,X10,X11,X12] :
      ( ~ cong(X12,X9,X12,X10)
      | ~ cong(X12,X9,X12,X11)
      | circle(X12,X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).

fof(c_0_141,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_142,plain,
    ( perp(X1,X2,X1,X3)
    | ~ cong(X2,X1,X2,X3)
    | ~ perp(X1,X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_129]) ).

cnf(c_0_143,negated_conjecture,
    cong(esk8_0,esk6_0,esk8_0,esk6_0),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

fof(c_0_144,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])]) ).

cnf(c_0_145,plain,
    ( perp(X1,X2,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_122])]) ).

cnf(c_0_146,negated_conjecture,
    circle(esk30_3(X1,X1,X2),X1,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135])]) ).

cnf(c_0_147,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_136]) ).

cnf(c_0_148,negated_conjecture,
    ( para(X1,esk3_0,X2,esk2_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_126]) ).

cnf(c_0_149,negated_conjecture,
    ( para(X1,esk2_0,X2,esk3_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_137]) ).

cnf(c_0_150,plain,
    ( midp(X1,X1,X1)
    | ~ circle(X1,X1,X1,X1)
    | ~ cong(X1,X1,X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_117]),c_0_139]) ).

cnf(c_0_151,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_152,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_141]) ).

cnf(c_0_153,negated_conjecture,
    ( perp(esk6_0,esk8_0,esk6_0,esk6_0)
    | ~ perp(esk6_0,esk6_0,esk8_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_154,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_155,negated_conjecture,
    perp(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

fof(c_0_156,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_157,negated_conjecture,
    ( midp(X1,esk2_0,esk3_0)
    | ~ midp(esk6_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]) ).

cnf(c_0_158,plain,
    ( midp(X1,X1,X1)
    | ~ cong(X1,X1,X1,X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_159,negated_conjecture,
    ( cong(esk6_0,esk6_0,esk6_0,esk6_0)
    | ~ midp(esk8_0,esk6_0,esk6_0)
    | ~ perp(esk6_0,esk6_0,esk8_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_160,negated_conjecture,
    perp(X1,X1,X2,X1),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_161,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_162,negated_conjecture,
    ( para(X1,esk7_0,X2,esk6_0)
    | ~ midp(esk8_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_109]) ).

fof(c_0_163,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_164,negated_conjecture,
    ( midp(X1,esk2_0,esk3_0)
    | ~ cong(esk6_0,esk6_0,esk6_0,esk6_0)
    | ~ midp(X1,esk6_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_165,negated_conjecture,
    ( cong(esk6_0,esk6_0,esk6_0,esk6_0)
    | ~ midp(esk8_0,esk6_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160])]) ).

cnf(c_0_166,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_122])]) ).

cnf(c_0_167,negated_conjecture,
    ( eqangle(X1,esk7_0,X2,X3,X4,esk6_0,X2,X3)
    | ~ midp(esk8_0,X1,X4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_162]) ).

cnf(c_0_168,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

fof(c_0_169,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_170,negated_conjecture,
    ( para(X1,esk6_0,X2,esk7_0)
    | ~ midp(esk8_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_119]) ).

cnf(c_0_171,negated_conjecture,
    ( midp(X1,esk3_0,esk2_0)
    | ~ cong(esk6_0,esk6_0,esk6_0,esk6_0)
    | ~ midp(X1,esk6_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_164]) ).

cnf(c_0_172,negated_conjecture,
    cong(esk6_0,esk6_0,esk6_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_143])]) ).

fof(c_0_173,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_174,negated_conjecture,
    eqangle(esk7_0,esk7_0,X1,X2,esk6_0,esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_167,c_0_109]) ).

cnf(c_0_175,negated_conjecture,
    cong(esk8_0,esk6_0,esk7_0,esk8_0),
    inference(spm,[status(thm)],[c_0_168,c_0_131]) ).

cnf(c_0_176,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_177,negated_conjecture,
    ( midp(X1,esk7_0,esk6_0)
    | ~ midp(esk8_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_170]),c_0_162]) ).

cnf(c_0_178,negated_conjecture,
    ( midp(X1,esk3_0,esk2_0)
    | ~ midp(X1,esk6_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]) ).

cnf(c_0_179,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_180,negated_conjecture,
    para(esk7_0,esk7_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_75,c_0_174]) ).

cnf(c_0_181,negated_conjecture,
    ( cong(X1,X2,esk7_0,esk8_0)
    | ~ cong(X1,X2,esk8_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_175]) ).

cnf(c_0_182,negated_conjecture,
    cong(esk7_0,esk8_0,esk8_0,esk6_0),
    inference(spm,[status(thm)],[c_0_176,c_0_175]) ).

cnf(c_0_183,negated_conjecture,
    ( midp(X1,esk7_0,esk6_0)
    | ~ midp(esk8_0,esk6_0,esk6_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_177,c_0_178]) ).

cnf(c_0_184,negated_conjecture,
    para(esk6_0,esk6_0,esk7_0,esk7_0),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_185,negated_conjecture,
    perp(esk7_0,esk7_0,esk8_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_181]),c_0_182])]) ).

cnf(c_0_186,negated_conjecture,
    ( midp(X1,esk7_0,esk6_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_166]),c_0_143])]) ).

cnf(c_0_187,negated_conjecture,
    ( para(X1,esk8_0,X2,esk6_0)
    | ~ midp(X1,esk7_0,X2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_109]) ).

cnf(c_0_188,negated_conjecture,
    ( perp(esk6_0,esk6_0,X1,X2)
    | ~ perp(esk7_0,esk7_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_86,c_0_184]) ).

cnf(c_0_189,negated_conjecture,
    perp(esk7_0,esk7_0,esk5_0,esk8_0),
    inference(spm,[status(thm)],[c_0_154,c_0_185]) ).

cnf(c_0_190,negated_conjecture,
    midp(esk6_0,esk7_0,esk6_0),
    inference(spm,[status(thm)],[c_0_186,c_0_126]) ).

cnf(c_0_191,negated_conjecture,
    ( perp(X1,esk8_0,X2,X3)
    | ~ midp(X1,esk7_0,X4)
    | ~ perp(X4,esk6_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_187]) ).

cnf(c_0_192,negated_conjecture,
    perp(esk6_0,esk6_0,esk5_0,esk8_0),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_193,negated_conjecture,
    ( para(X1,esk5_0,X2,esk1_0)
    | ~ midp(esk7_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_70,c_0_59]) ).

cnf(c_0_194,negated_conjecture,
    ( midp(X1,esk2_0,esk3_0)
    | ~ midp(X1,esk7_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_157,c_0_190]) ).

cnf(c_0_195,negated_conjecture,
    perp(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_154,c_0_135]) ).

cnf(c_0_196,negated_conjecture,
    ( perp(X1,esk8_0,esk5_0,esk8_0)
    | ~ midp(X1,esk7_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_197,negated_conjecture,
    cong(esk6_0,esk3_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_51,c_0_126]) ).

cnf(c_0_198,negated_conjecture,
    ( midp(X1,esk1_0,esk5_0)
    | ~ midp(esk7_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_193]),c_0_77]) ).

cnf(c_0_199,negated_conjecture,
    ( midp(X1,esk3_0,esk2_0)
    | ~ midp(X1,esk7_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_194]) ).

cnf(c_0_200,negated_conjecture,
    ( cong(X1,X1,X1,X2)
    | ~ midp(X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_195]) ).

fof(c_0_201,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_202,negated_conjecture,
    perp(esk8_0,esk8_0,esk5_0,esk8_0),
    inference(spm,[status(thm)],[c_0_196,c_0_109]) ).

cnf(c_0_203,negated_conjecture,
    cong(esk6_0,esk3_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_168,c_0_197]) ).

cnf(c_0_204,negated_conjecture,
    ( midp(X1,esk1_0,esk5_0)
    | ~ midp(esk7_0,esk7_0,esk6_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_205,negated_conjecture,
    cong(esk7_0,esk7_0,esk7_0,esk6_0),
    inference(spm,[status(thm)],[c_0_200,c_0_190]) ).

cnf(c_0_206,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_201]) ).

cnf(c_0_207,negated_conjecture,
    perp(esk5_0,esk8_0,esk8_0,esk8_0),
    inference(spm,[status(thm)],[c_0_44,c_0_202]) ).

cnf(c_0_208,negated_conjecture,
    ( cong(esk7_0,esk8_0,X1,X2)
    | ~ cong(X1,X2,esk8_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_181]) ).

cnf(c_0_209,negated_conjecture,
    ( para(X1,esk6_0,X2,esk2_0)
    | ~ midp(X1,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_126]) ).

cnf(c_0_210,negated_conjecture,
    cong(esk2_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_176,c_0_203]) ).

cnf(c_0_211,negated_conjecture,
    cong(esk6_0,esk2_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_51,c_0_137]) ).

cnf(c_0_212,negated_conjecture,
    ( midp(X1,esk1_0,esk5_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_166]),c_0_205])]) ).

cnf(c_0_213,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_122])]) ).

cnf(c_0_214,negated_conjecture,
    ( cong(esk5_0,esk8_0,esk5_0,esk8_0)
    | ~ midp(esk8_0,esk8_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_207]) ).

cnf(c_0_215,negated_conjecture,
    cong(esk7_0,esk8_0,esk7_0,esk8_0),
    inference(spm,[status(thm)],[c_0_208,c_0_182]) ).

cnf(c_0_216,negated_conjecture,
    ( eqangle(X1,esk6_0,X2,X3,X4,esk2_0,X2,X3)
    | ~ midp(X1,esk3_0,X4) ),
    inference(spm,[status(thm)],[c_0_61,c_0_209]) ).

cnf(c_0_217,negated_conjecture,
    cong(esk2_0,esk6_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_168,c_0_210]) ).

cnf(c_0_218,negated_conjecture,
    cong(esk6_0,esk2_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_168,c_0_211]) ).

cnf(c_0_219,negated_conjecture,
    ( cong(X1,X2,esk6_0,esk2_0)
    | ~ cong(X1,X2,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_197]) ).

cnf(c_0_220,negated_conjecture,
    ( midp(X1,esk1_0,esk5_0)
    | ~ midp(X1,esk7_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_212,c_0_199]) ).

cnf(c_0_221,negated_conjecture,
    ( midp(esk7_0,X1,esk5_0)
    | ~ midp(X2,esk1_0,X3)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_213,c_0_87]) ).

cnf(c_0_222,negated_conjecture,
    ( midp(esk8_0,X1,esk6_0)
    | ~ midp(X2,esk7_0,X3)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_213,c_0_187]) ).

cnf(c_0_223,negated_conjecture,
    ( cong(esk5_0,esk8_0,esk5_0,esk8_0)
    | ~ cong(esk8_0,esk8_0,esk8_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_214,c_0_158]) ).

cnf(c_0_224,negated_conjecture,
    ( perp(esk8_0,esk7_0,esk8_0,esk8_0)
    | ~ perp(esk8_0,esk8_0,esk7_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_215]) ).

cnf(c_0_225,negated_conjecture,
    eqangle(esk6_0,esk6_0,X1,X2,esk2_0,esk2_0,X1,X2),
    inference(spm,[status(thm)],[c_0_216,c_0_126]) ).

cnf(c_0_226,negated_conjecture,
    ( perp(esk2_0,esk3_0,X1,esk6_0)
    | ~ cong(esk2_0,X1,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_217]) ).

cnf(c_0_227,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk6_0)
    | ~ cong(X1,X2,esk6_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_218]) ).

cnf(c_0_228,negated_conjecture,
    cong(esk2_0,esk6_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_219,c_0_210]) ).

cnf(c_0_229,negated_conjecture,
    ( midp(esk6_0,X1,esk2_0)
    | ~ midp(X2,esk3_0,X3)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_213,c_0_209]) ).

cnf(c_0_230,negated_conjecture,
    ( midp(X1,esk7_0,esk6_0)
    | ~ midp(X1,esk1_0,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_220]),c_0_109])]) ).

cnf(c_0_231,negated_conjecture,
    ( midp(esk7_0,X1,esk5_0)
    | ~ midp(X2,esk7_0,esk6_0)
    | ~ midp(X2,X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_220]) ).

cnf(c_0_232,negated_conjecture,
    ( midp(esk8_0,X1,esk6_0)
    | ~ midp(esk6_0,X1,esk6_0) ),
    inference(spm,[status(thm)],[c_0_222,c_0_190]) ).

cnf(c_0_233,negated_conjecture,
    ( cong(esk5_0,esk8_0,esk8_0,esk5_0)
    | ~ cong(esk8_0,esk8_0,esk8_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_168,c_0_223]) ).

cnf(c_0_234,negated_conjecture,
    ( cong(esk8_0,esk8_0,esk8_0,esk8_0)
    | ~ midp(esk7_0,esk8_0,esk8_0)
    | ~ perp(esk8_0,esk8_0,esk7_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_224]) ).

fof(c_0_235,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_236,negated_conjecture,
    eqangle(X1,X2,esk6_0,esk6_0,X1,X2,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_68,c_0_225]) ).

cnf(c_0_237,negated_conjecture,
    perp(esk2_0,esk3_0,esk6_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228])]) ).

cnf(c_0_238,negated_conjecture,
    ( midp(esk6_0,X1,esk2_0)
    | ~ midp(X2,esk7_0,esk6_0)
    | ~ midp(X2,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_229,c_0_199]) ).

cnf(c_0_239,negated_conjecture,
    midp(esk7_0,esk7_0,esk6_0),
    inference(spm,[status(thm)],[c_0_230,c_0_52]) ).

cnf(c_0_240,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_83]),c_0_83])]) ).

cnf(c_0_241,negated_conjecture,
    ( midp(esk7_0,X1,esk5_0)
    | ~ midp(esk8_0,X1,esk5_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_190])]) ).

cnf(c_0_242,negated_conjecture,
    ( cong(esk8_0,esk5_0,esk5_0,esk8_0)
    | ~ cong(esk8_0,esk8_0,esk8_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_233]) ).

cnf(c_0_243,negated_conjecture,
    ( cong(esk8_0,esk8_0,esk8_0,esk8_0)
    | ~ midp(esk7_0,esk8_0,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_160])]) ).

cnf(c_0_244,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_235]) ).

cnf(c_0_245,negated_conjecture,
    eqangle(X1,X2,esk6_0,esk6_0,X2,X1,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_103,c_0_236]) ).

cnf(c_0_246,negated_conjecture,
    perp(esk6_0,esk6_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_44,c_0_237]) ).

cnf(c_0_247,negated_conjecture,
    ( midp(esk6_0,X1,esk2_0)
    | ~ midp(esk7_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_238,c_0_239]) ).

cnf(c_0_248,negated_conjecture,
    ( midp(esk7_0,X1,X1)
    | ~ midp(esk8_0,esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_249,negated_conjecture,
    ( cong(esk8_0,esk5_0,esk8_0,esk5_0)
    | ~ cong(esk8_0,esk8_0,esk8_0,esk8_0) ),
    inference(spm,[status(thm)],[c_0_168,c_0_242]) ).

cnf(c_0_250,negated_conjecture,
    cong(esk8_0,esk8_0,esk8_0,esk8_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_166]),c_0_215])]) ).

cnf(c_0_251,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk2_0,X2,X1,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_252,negated_conjecture,
    perp(esk6_0,esk6_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_154,c_0_246]) ).

fof(c_0_253,plain,
    ! [X8,X9,X10,X11] :
      ( ~ perp(X8,X9,X9,X10)
      | ~ midp(X11,X8,X10)
      | cong(X8,X11,X9,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_254,negated_conjecture,
    ( midp(esk6_0,esk2_0,esk2_0)
    | ~ midp(esk8_0,esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_255,negated_conjecture,
    cong(esk8_0,esk5_0,esk8_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_250])]) ).

cnf(c_0_256,negated_conjecture,
    ( perp(X1,X2,esk2_0,esk2_0)
    | ~ perp(X2,X1,esk6_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_251]) ).

cnf(c_0_257,negated_conjecture,
    perp(esk3_0,esk2_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_44,c_0_252]) ).

cnf(c_0_258,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_253]) ).

cnf(c_0_259,negated_conjecture,
    midp(esk6_0,esk2_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_166]),c_0_255])]) ).

cnf(c_0_260,negated_conjecture,
    perp(esk2_0,esk3_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_261,negated_conjecture,
    perp(esk5_0,esk8_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_44,c_0_192]) ).

cnf(c_0_262,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2)
    | ~ coll(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_161]) ).

cnf(c_0_263,negated_conjecture,
    ( midp(esk6_0,X1,esk2_0)
    | ~ midp(esk6_0,esk3_0,esk6_0)
    | ~ midp(esk8_0,X1,esk6_0) ),
    inference(spm,[status(thm)],[c_0_229,c_0_232]) ).

cnf(c_0_264,negated_conjecture,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_135]) ).

cnf(c_0_265,negated_conjecture,
    midp(esk6_0,X1,X1),
    inference(spm,[status(thm)],[c_0_240,c_0_259]) ).

cnf(c_0_266,negated_conjecture,
    midp(esk6_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_212,c_0_126]) ).

cnf(c_0_267,negated_conjecture,
    ( perp(X1,esk6_0,X2,X3)
    | ~ midp(X1,esk3_0,X4)
    | ~ perp(X4,esk2_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_209]) ).

cnf(c_0_268,negated_conjecture,
    perp(esk2_0,esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_44,c_0_260]) ).

cnf(c_0_269,negated_conjecture,
    ( cong(esk5_0,esk6_0,esk5_0,esk6_0)
    | ~ midp(esk8_0,esk6_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_261]) ).

cnf(c_0_270,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_122])]) ).

cnf(c_0_271,negated_conjecture,
    ( midp(esk6_0,esk7_0,esk2_0)
    | ~ midp(esk6_0,esk3_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_263,c_0_109]) ).

cnf(c_0_272,negated_conjecture,
    cong(X1,esk6_0,X2,esk6_0),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_273,negated_conjecture,
    ( midp(esk7_0,X1,esk5_0)
    | ~ midp(esk6_0,X1,esk5_0) ),
    inference(spm,[status(thm)],[c_0_221,c_0_266]) ).

cnf(c_0_274,negated_conjecture,
    ( perp(X1,esk6_0,esk2_0,esk3_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_267,c_0_268]) ).

cnf(c_0_275,negated_conjecture,
    cong(esk5_0,esk6_0,esk5_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_143])]) ).

cnf(c_0_276,negated_conjecture,
    ( midp(esk6_0,esk7_0,esk2_0)
    | ~ cong(esk6_0,esk6_0,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_271,c_0_270]) ).

cnf(c_0_277,negated_conjecture,
    cong(X1,esk6_0,esk6_0,X2),
    inference(spm,[status(thm)],[c_0_168,c_0_272]) ).

cnf(c_0_278,negated_conjecture,
    ( midp(esk8_0,X1,esk6_0)
    | ~ midp(esk7_0,X1,esk6_0) ),
    inference(spm,[status(thm)],[c_0_222,c_0_239]) ).

cnf(c_0_279,negated_conjecture,
    ( midp(esk7_0,X1,X1)
    | ~ midp(esk6_0,esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_273]) ).

fof(c_0_280,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_281,negated_conjecture,
    ( perp(X1,esk6_0,esk2_0,esk3_0)
    | ~ cong(esk6_0,esk6_0,esk6_0,esk6_0)
    | ~ midp(X1,esk6_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_274,c_0_171]) ).

cnf(c_0_282,negated_conjecture,
    cong(esk5_0,esk6_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_168,c_0_275]) ).

cnf(c_0_283,negated_conjecture,
    midp(esk6_0,esk7_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_277])]) ).

cnf(c_0_284,negated_conjecture,
    ( midp(esk8_0,esk6_0,esk6_0)
    | ~ midp(esk6_0,esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_285,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_280]) ).

cnf(c_0_286,negated_conjecture,
    ( perp(X1,esk6_0,esk2_0,esk3_0)
    | ~ midp(X1,esk6_0,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_281,c_0_172])]) ).

cnf(c_0_287,negated_conjecture,
    cong(esk6_0,esk5_0,esk5_0,esk6_0),
    inference(spm,[status(thm)],[c_0_176,c_0_282]) ).

cnf(c_0_288,negated_conjecture,
    ( midp(esk8_0,X1,esk6_0)
    | ~ midp(esk6_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_222,c_0_283]) ).

cnf(c_0_289,negated_conjecture,
    ( midp(esk8_0,X1,X1)
    | ~ midp(esk6_0,esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_284]) ).

cnf(c_0_290,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_285,c_0_83]) ).

cnf(c_0_291,negated_conjecture,
    ( perp(esk7_0,esk6_0,esk2_0,esk3_0)
    | ~ midp(esk6_0,esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_286,c_0_279]) ).

cnf(c_0_292,negated_conjecture,
    cong(esk6_0,esk5_0,esk6_0,esk5_0),
    inference(spm,[status(thm)],[c_0_168,c_0_287]) ).

cnf(c_0_293,plain,
    ( para(X1,X2,X1,X1)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_179,c_0_128]) ).

cnf(c_0_294,negated_conjecture,
    ( midp(esk6_0,X1,esk2_0)
    | ~ midp(esk8_0,X1,esk6_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_288]),c_0_126])]) ).

cnf(c_0_295,negated_conjecture,
    midp(esk8_0,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_289,c_0_265])]) ).

cnf(c_0_296,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_86,c_0_290]) ).

cnf(c_0_297,negated_conjecture,
    perp(esk7_0,esk6_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_166]),c_0_292])]) ).

cnf(c_0_298,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X3,X3,X3,X2)
    | ~ midp(X1,X3,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_128]),c_0_293]) ).

cnf(c_0_299,negated_conjecture,
    midp(esk6_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_300,negated_conjecture,
    ( para(X1,esk7_0,esk6_0,X2)
    | ~ midp(esk8_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_285,c_0_162]) ).

cnf(c_0_301,negated_conjecture,
    ( perp(X1,esk6_0,X2,X3)
    | ~ midp(esk8_0,X1,X4)
    | ~ perp(X4,esk7_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_170]) ).

cnf(c_0_302,negated_conjecture,
    perp(esk6_0,esk7_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_303,negated_conjecture,
    midp(esk8_0,X1,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_288]),c_0_277])]),c_0_299])]) ).

cnf(c_0_304,negated_conjecture,
    ( perp(X1,esk7_0,X2,X3)
    | ~ midp(esk8_0,X1,X4)
    | ~ perp(esk6_0,X4,X2,X3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_300]) ).

cnf(c_0_305,negated_conjecture,
    perp(X1,esk6_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_303])]) ).

cnf(c_0_306,negated_conjecture,
    perp(X1,esk7_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_303])]) ).

cnf(c_0_307,negated_conjecture,
    ~ perp(esk7_0,esk9_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_308,negated_conjecture,
    perp(esk7_0,X1,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_296,c_0_306]) ).

cnf(c_0_309,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_308])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO583+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.06/0.34  % Computer : n032.cluster.edu
% 0.06/0.34  % Model    : x86_64 x86_64
% 0.06/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34  % Memory   : 8042.1875MB
% 0.06/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.34  % CPULimit : 300
% 0.06/0.34  % WCLimit  : 600
% 0.06/0.34  % DateTime : Sat Jun 18 00:56:31 EDT 2022
% 0.06/0.34  % CPUTime  : 
% 0.12/2.46  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.12/2.46  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.12/2.46  # Preprocessing time       : 0.013 s
% 0.12/2.46  
% 0.12/2.46  # Proof found!
% 0.12/2.46  # SZS status Theorem
% 0.12/2.46  # SZS output start CNFRefutation
% See solution above
% 0.12/2.46  # Proof object total steps             : 310
% 0.12/2.46  # Proof object clause steps            : 233
% 0.12/2.46  # Proof object formula steps           : 77
% 0.12/2.46  # Proof object conjectures             : 181
% 0.12/2.46  # Proof object clause conjectures      : 178
% 0.12/2.46  # Proof object formula conjectures     : 3
% 0.12/2.46  # Proof object initial clauses used    : 42
% 0.12/2.46  # Proof object initial formulas used   : 38
% 0.12/2.46  # Proof object generating inferences   : 178
% 0.12/2.46  # Proof object simplifying inferences  : 71
% 0.12/2.46  # Training examples: 0 positive, 0 negative
% 0.12/2.46  # Parsed axioms                        : 95
% 0.12/2.46  # Removed by relevancy pruning/SinE    : 21
% 0.12/2.46  # Initial clauses                      : 102
% 0.12/2.46  # Removed in clause preprocessing      : 0
% 0.12/2.46  # Initial clauses in saturation        : 102
% 0.12/2.46  # Processed clauses                    : 5813
% 0.12/2.46  # ...of these trivial                  : 684
% 0.12/2.46  # ...subsumed                          : 1292
% 0.12/2.46  # ...remaining for further processing  : 3837
% 0.12/2.46  # Other redundant clauses eliminated   : 0
% 0.12/2.46  # Clauses deleted for lack of memory   : 0
% 0.12/2.46  # Backward-subsumed                    : 295
% 0.12/2.46  # Backward-rewritten                   : 2391
% 0.12/2.46  # Generated clauses                    : 52761
% 0.12/2.46  # ...of the previous two non-trivial   : 44591
% 0.12/2.46  # Contextual simplify-reflections      : 116
% 0.12/2.46  # Paramodulations                      : 52761
% 0.12/2.46  # Factorizations                       : 0
% 0.12/2.46  # Equation resolutions                 : 0
% 0.12/2.46  # Current number of processed clauses  : 1151
% 0.12/2.46  #    Positive orientable unit clauses  : 461
% 0.12/2.46  #    Positive unorientable unit clauses: 0
% 0.12/2.46  #    Negative unit clauses             : 0
% 0.12/2.46  #    Non-unit-clauses                  : 690
% 0.12/2.46  # Current number of unprocessed clauses: 11458
% 0.12/2.46  # ...number of literals in the above   : 37982
% 0.12/2.46  # Current number of archived formulas  : 0
% 0.12/2.46  # Current number of archived clauses   : 2686
% 0.12/2.46  # Clause-clause subsumption calls (NU) : 480359
% 0.12/2.46  # Rec. Clause-clause subsumption calls : 330311
% 0.12/2.46  # Non-unit clause-clause subsumptions  : 1547
% 0.12/2.46  # Unit Clause-clause subsumption calls : 219860
% 0.12/2.46  # Rewrite failures with RHS unbound    : 0
% 0.12/2.46  # BW rewrite match attempts            : 43853
% 0.12/2.46  # BW rewrite match successes           : 1697
% 0.12/2.46  # Condensation attempts                : 0
% 0.12/2.46  # Condensation successes               : 0
% 0.12/2.46  # Termbank termtop insertions          : 711474
% 0.12/2.46  
% 0.12/2.46  # -------------------------------------------------
% 0.12/2.46  # User time                : 1.353 s
% 0.12/2.46  # System time              : 0.019 s
% 0.12/2.46  # Total time               : 1.372 s
% 0.12/2.46  # Maximum resident set size: 30320 pages
% 0.12/25.44  eprover: CPU time limit exceeded, terminating
% 0.12/25.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.46  eprover: No such file or directory
% 0.12/25.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.47  eprover: No such file or directory
% 0.12/25.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.47  eprover: No such file or directory
% 0.12/25.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.47  eprover: No such file or directory
% 0.12/25.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.48  eprover: No such file or directory
% 0.12/25.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.48  eprover: No such file or directory
% 0.12/25.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.48  eprover: No such file or directory
% 0.12/25.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.49  eprover: No such file or directory
% 0.12/25.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.49  eprover: No such file or directory
% 0.12/25.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.49  eprover: No such file or directory
% 0.12/25.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.12/25.50  eprover: No such file or directory
% 0.12/25.52  eprover: CPU time limit exceeded, terminating
% 0.12/25.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.58  eprover: No such file or directory
% 0.12/25.58  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.58  eprover: No such file or directory
% 0.12/25.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.59  eprover: No such file or directory
% 0.12/25.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.59  eprover: No such file or directory
% 0.12/25.59  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.59  eprover: No such file or directory
% 0.12/25.60  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.60  eprover: No such file or directory
% 0.12/25.60  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.60  eprover: No such file or directory
% 0.12/25.60  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.60  eprover: No such file or directory
% 0.12/25.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.61  eprover: No such file or directory
% 0.12/25.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.61  eprover: No such file or directory
% 0.12/25.61  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.12/25.61  eprover: No such file or directory
%------------------------------------------------------------------------------