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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO631+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 04:06:48 EDT 2022

% Result   : Theorem 0.26s 6.45s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  294 ( 113 unt;   0 def)
%            Number of atoms       :  617 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  551 ( 228   ~; 223   |;  65   &)
%                                         (   0 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   17 (  17 usr;  13 con; 0-4 aty)
%            Number of variables   :  827 (  58 sgn 348   !;   4   ?)

% 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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(exemplo6GDDFULL8110994,conjecture,
    ! [X1,X2,X3,X8,X4,X9,X6,X13,X14,X5,X19,X20,X21] :
      ( ( circle(X8,X1,X2,X3)
        & circle(X8,X1,X4,X20)
        & circle(X8,X1,X9,X21)
        & perp(X6,X9,X1,X4)
        & coll(X6,X1,X4)
        & perp(X13,X9,X1,X2)
        & coll(X13,X1,X2)
        & perp(X14,X9,X2,X3)
        & coll(X14,X2,X3)
        & perp(X5,X9,X3,X4)
        & coll(X5,X3,X4)
        & coll(X19,X6,X13)
        & coll(X19,X14,X5) )
     => cyclic(X9,X13,X19,X14) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL8110994) ).

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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

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

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

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

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

fof(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

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

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).

fof(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

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

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(ruleX10,axiom,
    ! [X1,X2,X3,X14] :
    ? [X9,X10] :
      ( ( perp(X1,X14,X2,X3)
        & perp(X2,X14,X1,X3) )
     => ( coll(X9,X3,X2)
        & perp(X1,X9,X3,X2)
        & coll(X10,X3,X1)
        & perp(X2,X10,X3,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX10) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

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

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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

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

fof(c_0_34,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_35,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk28_4(X10,X11,X12,X13),X10,X10,X13) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_36,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

cnf(c_0_37,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_38,plain,
    ( perp(esk28_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

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

fof(c_0_40,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X4,X9,X6,X13,X14,X5,X19,X20,X21] :
        ( ( circle(X8,X1,X2,X3)
          & circle(X8,X1,X4,X20)
          & circle(X8,X1,X9,X21)
          & perp(X6,X9,X1,X4)
          & coll(X6,X1,X4)
          & perp(X13,X9,X1,X2)
          & coll(X13,X1,X2)
          & perp(X14,X9,X2,X3)
          & coll(X14,X2,X3)
          & perp(X5,X9,X3,X4)
          & coll(X5,X3,X4)
          & coll(X19,X6,X13)
          & coll(X19,X14,X5) )
       => cyclic(X9,X13,X19,X14) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110994]) ).

cnf(c_0_41,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk28_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    ( perp(X1,X2,esk28_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_39,c_0_38]) ).

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

fof(c_0_44,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

cnf(c_0_45,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    circle(esk4_0,esk1_0,esk6_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_47,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

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

cnf(c_0_49,negated_conjecture,
    para(esk1_0,esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_50,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
      | para(X11,X12,X13,X14) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).

cnf(c_0_51,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    eqangle(esk1_0,esk4_0,X1,X2,esk1_0,esk4_0,X1,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

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

cnf(c_0_55,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk4_0,X1,X2,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_56,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_57,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_59,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_60,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_61,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

fof(c_0_62,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_63,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_64,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_60,c_0_58]) ).

fof(c_0_65,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_66,negated_conjecture,
    eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
    inference(spm,[status(thm)],[c_0_48,c_0_61]) ).

fof(c_0_67,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

fof(c_0_68,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | ~ coll(X13,X14,X12)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_69,plain,
    ! [X5,X6,X7,X8] :
      ( ~ coll(X5,X6,X7)
      | ~ coll(X5,X6,X8)
      | coll(X7,X8,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_70,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_71,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

fof(c_0_72,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | ~ cyclic(X11,X12,X13,X14)
      | perp(X13,X11,X11,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).

fof(c_0_73,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ cyclic(X16,X17,X18,X19)
      | ~ cyclic(X16,X17,X18,X20)
      | ~ cyclic(X16,X17,X18,X21)
      | ~ eqangle(X18,X16,X18,X17,X21,X19,X21,X20)
      | cong(X16,X17,X19,X20) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])])]) ).

cnf(c_0_74,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_65]) ).

cnf(c_0_75,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
    inference(spm,[status(thm)],[c_0_51,c_0_66]) ).

cnf(c_0_76,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_77,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_78,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

fof(c_0_80,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_81,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cyclic(X2,X4,X1,X3)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_82,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4)
    | ~ cyclic(X1,X2,X5,X6)
    | ~ cyclic(X1,X2,X5,X4)
    | ~ cyclic(X1,X2,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_83,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_84,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2)
    | ~ coll(X4,X3,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_85,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_79])]) ).

cnf(c_0_86,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
    inference(spm,[status(thm)],[c_0_48,c_0_58]) ).

cnf(c_0_87,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_88,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_89,plain,
    ! [X9,X10,X11,X12] :
      ( ~ perp(X9,X11,X11,X10)
      | ~ cyclic(X9,X10,X11,X12)
      | circle(esk16_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_90,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( ~ eqangle(X15,X16,X17,X18,X19,X20,X21,X22)
      | ~ eqangle(X19,X20,X21,X22,X23,X24,X25,X26)
      | eqangle(X15,X16,X17,X18,X23,X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

fof(c_0_91,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])]) ).

fof(c_0_92,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_93,plain,
    ( perp(X1,X2,X2,X3)
    | ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1)
    | ~ coll(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_81,c_0_77]) ).

cnf(c_0_94,negated_conjecture,
    ( cong(X1,X1,X2,X2)
    | ~ cyclic(X1,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_95,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).

cnf(c_0_96,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_74,c_0_86]) ).

cnf(c_0_97,negated_conjecture,
    perp(esk8_0,esk6_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

fof(c_0_98,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_99,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_100,negated_conjecture,
    perp(esk9_0,esk6_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_101,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk2_0,esk3_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_102,plain,
    ( circle(esk16_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ perp(X1,X3,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_103,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_104,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

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_92]) ).

cnf(c_0_106,negated_conjecture,
    eqangle(X1,X2,X2,X1,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_74,c_0_66]) ).

cnf(c_0_107,plain,
    ( perp(X1,X2,X2,X3)
    | ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_85])]) ).

cnf(c_0_108,negated_conjecture,
    cong(X1,X1,X2,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).

fof(c_0_109,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_110,negated_conjecture,
    perp(esk1_0,esk2_0,esk8_0,esk6_0),
    inference(spm,[status(thm)],[c_0_39,c_0_97]) ).

cnf(c_0_111,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_112,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_113,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk9_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_100]) ).

cnf(c_0_114,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk1_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_101]) ).

cnf(c_0_115,plain,
    ( circle(esk16_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_102,c_0_77]) ).

cnf(c_0_116,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X6)
    | ~ eqangle(X1,X2,X3,X4,X7,X5,X5,X6)
    | ~ cong(X7,X5,X7,X6) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_117,negated_conjecture,
    ( perp(X1,X2,X2,X1)
    | ~ perp(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_118,plain,
    perp(X1,X1,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_104]),c_0_108])]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk9_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_120,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_121,negated_conjecture,
    ( para(X1,X2,esk8_0,esk6_0)
    | ~ perp(X1,X2,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_110]) ).

cnf(c_0_122,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk3_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_101]) ).

cnf(c_0_123,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk2_0,esk3_0,X3,X4)
    | ~ perp(X1,X2,esk9_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_124,negated_conjecture,
    perp(esk2_0,esk3_0,esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_85])]) ).

cnf(c_0_125,plain,
    ( circle(esk16_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_115,c_0_85])]) ).

cnf(c_0_126,negated_conjecture,
    ( eqangle(X1,X2,X1,X2,X3,X4,X4,X4)
    | ~ cong(X4,X3,X4,X4) ),
    inference(spm,[status(thm)],[c_0_116,c_0_83]) ).

cnf(c_0_127,negated_conjecture,
    perp(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_128,negated_conjecture,
    coll(esk9_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_70,c_0_119]) ).

cnf(c_0_129,negated_conjecture,
    ( coll(X1,esk3_0,esk9_0)
    | ~ coll(esk9_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_119]) ).

cnf(c_0_130,negated_conjecture,
    ( para(esk8_0,esk6_0,X1,X2)
    | ~ perp(X1,X2,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_131,negated_conjecture,
    ( perp(esk3_0,esk2_0,esk1_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_122]) ).

cnf(c_0_132,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_112,c_0_61]) ).

cnf(c_0_133,negated_conjecture,
    ( perp(X1,X2,esk1_0,esk2_0)
    | ~ perp(X1,X2,esk9_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_134,plain,
    ( perp(X1,X2,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_85])]) ).

cnf(c_0_135,negated_conjecture,
    circle(esk16_3(X1,X1,X2),X1,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]),c_0_108])]) ).

cnf(c_0_136,negated_conjecture,
    coll(esk3_0,esk9_0,esk2_0),
    inference(spm,[status(thm)],[c_0_63,c_0_128]) ).

cnf(c_0_137,negated_conjecture,
    coll(esk3_0,esk3_0,esk9_0),
    inference(spm,[status(thm)],[c_0_129,c_0_119]) ).

cnf(c_0_138,negated_conjecture,
    coll(esk10_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_139,negated_conjecture,
    perp(esk2_0,esk3_0,esk9_0,esk6_0),
    inference(spm,[status(thm)],[c_0_39,c_0_100]) ).

cnf(c_0_140,negated_conjecture,
    ( perp(esk8_0,esk6_0,X1,X2)
    | ~ perp(X3,X4,esk1_0,esk2_0)
    | ~ perp(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_130]) ).

cnf(c_0_141,negated_conjecture,
    perp(esk3_0,esk2_0,esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_85])]) ).

cnf(c_0_142,negated_conjecture,
    ( perp(X1,X2,esk1_0,esk2_0)
    | ~ perp(X2,X1,esk9_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_143,negated_conjecture,
    perp(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_144,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_136]) ).

cnf(c_0_145,negated_conjecture,
    coll(esk3_0,esk9_0,esk3_0),
    inference(spm,[status(thm)],[c_0_70,c_0_137]) ).

cnf(c_0_146,negated_conjecture,
    coll(esk10_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_70,c_0_138]) ).

cnf(c_0_147,negated_conjecture,
    ( para(X1,X2,esk9_0,esk6_0)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_139]) ).

cnf(c_0_148,negated_conjecture,
    ( perp(esk8_0,esk6_0,X1,X2)
    | ~ perp(esk3_0,esk2_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_149,negated_conjecture,
    perp(esk9_0,esk9_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_150,negated_conjecture,
    coll(esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_151,negated_conjecture,
    coll(esk5_0,esk10_0,esk3_0),
    inference(spm,[status(thm)],[c_0_63,c_0_146]) ).

cnf(c_0_152,negated_conjecture,
    ( para(esk9_0,esk6_0,X1,X2)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_147]) ).

cnf(c_0_153,negated_conjecture,
    perp(esk8_0,esk6_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_148,c_0_127]) ).

cnf(c_0_154,negated_conjecture,
    ( perp(esk8_0,esk6_0,X1,X2)
    | ~ perp(esk9_0,esk9_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_149]) ).

cnf(c_0_155,negated_conjecture,
    perp(X1,X1,X2,X1),
    inference(spm,[status(thm)],[c_0_111,c_0_143]) ).

cnf(c_0_156,negated_conjecture,
    coll(esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_70,c_0_150]) ).

cnf(c_0_157,negated_conjecture,
    ( coll(X1,esk3_0,esk5_0)
    | ~ coll(esk5_0,esk10_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_151]) ).

cnf(c_0_158,negated_conjecture,
    ( perp(esk9_0,esk6_0,X1,X2)
    | ~ perp(X3,X4,esk2_0,esk3_0)
    | ~ perp(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_152]) ).

cnf(c_0_159,negated_conjecture,
    perp(esk6_0,esk8_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_132,c_0_153]) ).

cnf(c_0_160,negated_conjecture,
    perp(esk8_0,esk6_0,X1,esk9_0),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_161,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_156]) ).

cnf(c_0_162,negated_conjecture,
    coll(esk3_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_157,c_0_151]) ).

cnf(c_0_163,negated_conjecture,
    ( perp(esk9_0,esk6_0,X1,X2)
    | ~ perp(esk6_0,esk8_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_164,negated_conjecture,
    perp(esk6_0,esk8_0,X1,esk9_0),
    inference(spm,[status(thm)],[c_0_132,c_0_160]) ).

cnf(c_0_165,negated_conjecture,
    coll(esk5_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_166,negated_conjecture,
    perp(esk9_0,esk6_0,X1,esk9_0),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_167,negated_conjecture,
    coll(esk5_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_70,c_0_165]) ).

cnf(c_0_168,negated_conjecture,
    perp(X1,esk9_0,esk9_0,esk6_0),
    inference(spm,[status(thm)],[c_0_39,c_0_166]) ).

fof(c_0_169,plain,
    ! [X15,X16,X17,X18] :
      ( ( coll(esk21_3(X15,X16,X17),X17,X16)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( perp(X15,esk21_3(X15,X16,X17),X17,X16)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( coll(esk22_3(X15,X16,X17),X17,X15)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( perp(X16,esk22_3(X15,X16,X17),X17,X15)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX10])])])])])]) ).

cnf(c_0_170,negated_conjecture,
    coll(esk3_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_63,c_0_167]) ).

cnf(c_0_171,negated_conjecture,
    coll(esk3_0,esk10_0,esk5_0),
    inference(spm,[status(thm)],[c_0_63,c_0_138]) ).

fof(c_0_172,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_173,negated_conjecture,
    perp(esk9_0,X1,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_142,c_0_168]) ).

cnf(c_0_174,plain,
    ( perp(X3,esk21_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_175,negated_conjecture,
    perp(X1,X2,X2,X2),
    inference(spm,[status(thm)],[c_0_39,c_0_155]) ).

cnf(c_0_176,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_170]) ).

cnf(c_0_177,negated_conjecture,
    coll(esk3_0,esk5_0,esk10_0),
    inference(spm,[status(thm)],[c_0_70,c_0_171]) ).

cnf(c_0_178,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_179,negated_conjecture,
    ( para(X1,X2,esk1_0,esk2_0)
    | ~ perp(X1,X2,esk8_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_97]) ).

cnf(c_0_180,negated_conjecture,
    ( perp(esk8_0,esk6_0,X1,X2)
    | ~ perp(esk9_0,X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_140,c_0_173]) ).

cnf(c_0_181,negated_conjecture,
    perp(X1,esk21_3(X1,X2,X2),X2,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_155])]) ).

cnf(c_0_182,negated_conjecture,
    coll(esk8_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_183,negated_conjecture,
    coll(esk10_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_184,negated_conjecture,
    perp(esk9_0,esk6_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_111,c_0_100]) ).

cnf(c_0_185,plain,
    ( perp(X1,esk22_3(X3,X1,X4),X4,X3)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_169]) ).

cnf(c_0_186,negated_conjecture,
    perp(esk1_0,esk2_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_85])]) ).

fof(c_0_187,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | ~ para(X5,X6,X7,X8)
      | eqangle(X5,X8,X7,X8,X7,X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

cnf(c_0_188,negated_conjecture,
    ( para(X1,X2,esk1_0,esk2_0)
    | ~ perp(X3,X4,esk8_0,esk6_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_189,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_104]) ).

cnf(c_0_190,negated_conjecture,
    perp(esk8_0,esk6_0,X1,X1),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_191,negated_conjecture,
    ( coll(X1,esk2_0,esk8_0)
    | ~ coll(esk8_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_182]) ).

cnf(c_0_192,negated_conjecture,
    coll(esk10_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_70,c_0_183]) ).

cnf(c_0_193,negated_conjecture,
    perp(esk10_0,esk6_0,esk3_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_194,negated_conjecture,
    perp(esk3_0,esk2_0,esk9_0,esk6_0),
    inference(spm,[status(thm)],[c_0_39,c_0_184]) ).

cnf(c_0_195,negated_conjecture,
    perp(esk3_0,esk22_3(esk1_0,esk3_0,esk2_0),esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_141])]) ).

cnf(c_0_196,negated_conjecture,
    ( perp(esk3_0,esk2_0,esk2_0,esk1_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_131]) ).

cnf(c_0_197,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ cyclic(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_187]) ).

cnf(c_0_198,negated_conjecture,
    ( para(X1,X1,esk1_0,esk2_0)
    | ~ cong(X1,X1,X1,X2)
    | ~ perp(X1,X2,esk8_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_199,negated_conjecture,
    perp(X1,X1,esk8_0,esk6_0),
    inference(spm,[status(thm)],[c_0_39,c_0_190]) ).

cnf(c_0_200,negated_conjecture,
    coll(esk2_0,esk2_0,esk8_0),
    inference(spm,[status(thm)],[c_0_191,c_0_182]) ).

cnf(c_0_201,negated_conjecture,
    ( coll(X1,esk2_0,esk10_0)
    | ~ coll(esk10_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_192]) ).

cnf(c_0_202,negated_conjecture,
    perp(esk10_0,esk6_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_111,c_0_193]) ).

cnf(c_0_203,negated_conjecture,
    ( para(X1,X2,esk9_0,esk6_0)
    | ~ perp(X1,X2,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_194]) ).

cnf(c_0_204,negated_conjecture,
    ( para(X1,X2,esk2_0,esk1_0)
    | ~ perp(X1,X2,esk3_0,esk22_3(esk1_0,esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_195]) ).

cnf(c_0_205,negated_conjecture,
    ( perp(esk2_0,esk1_0,esk3_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_196]) ).

fof(c_0_206,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_207,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ coll(X3,X2,X4) ),
    inference(spm,[status(thm)],[c_0_197,c_0_77]) ).

cnf(c_0_208,negated_conjecture,
    para(X1,X1,esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_108]),c_0_199])]) ).

cnf(c_0_209,negated_conjecture,
    ( coll(X1,esk8_0,esk2_0)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_200]) ).

cnf(c_0_210,negated_conjecture,
    coll(esk2_0,esk2_0,esk10_0),
    inference(spm,[status(thm)],[c_0_201,c_0_192]) ).

cnf(c_0_211,negated_conjecture,
    perp(esk5_0,esk3_0,esk10_0,esk6_0),
    inference(spm,[status(thm)],[c_0_39,c_0_202]) ).

cnf(c_0_212,negated_conjecture,
    ( para(X1,X2,esk9_0,esk6_0)
    | ~ perp(X3,X4,esk3_0,esk2_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_178,c_0_203]) ).

cnf(c_0_213,negated_conjecture,
    para(esk3_0,esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_204,c_0_143]) ).

cnf(c_0_214,negated_conjecture,
    perp(esk2_0,esk1_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_85])]) ).

cnf(c_0_215,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_206]) ).

cnf(c_0_216,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
    | ~ para(X1,X4,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_85])]) ).

cnf(c_0_217,negated_conjecture,
    para(esk1_0,esk2_0,X1,X1),
    inference(spm,[status(thm)],[c_0_120,c_0_208]) ).

cnf(c_0_218,negated_conjecture,
    coll(esk10_0,esk8_0,esk2_0),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_219,negated_conjecture,
    perp(esk3_0,esk5_0,esk10_0,esk6_0),
    inference(spm,[status(thm)],[c_0_39,c_0_193]) ).

cnf(c_0_220,negated_conjecture,
    ( para(X1,X2,esk10_0,esk6_0)
    | ~ perp(X1,X2,esk5_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_211]) ).

cnf(c_0_221,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_212,c_0_213]),c_0_214])]) ).

fof(c_0_222,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_223,plain,
    ( midp(X1,X2,X3)
    | ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
    | ~ circle(X5,X4,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_85])]) ).

cnf(c_0_224,negated_conjecture,
    eqangle(esk1_0,X1,X1,X1,X1,X1,X1,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_86])]) ).

fof(c_0_225,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])]) ).

cnf(c_0_226,negated_conjecture,
    coll(esk8_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_70,c_0_182]) ).

cnf(c_0_227,negated_conjecture,
    coll(esk8_0,esk10_0,esk2_0),
    inference(spm,[status(thm)],[c_0_63,c_0_218]) ).

cnf(c_0_228,negated_conjecture,
    ( para(X1,X2,esk10_0,esk6_0)
    | ~ perp(X1,X2,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_219]) ).

cnf(c_0_229,negated_conjecture,
    ( para(X1,X2,esk10_0,esk6_0)
    | ~ perp(X3,X4,esk5_0,esk3_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_178,c_0_220]) ).

cnf(c_0_230,negated_conjecture,
    para(esk9_0,esk6_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_120,c_0_221]) ).

cnf(c_0_231,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_222]) ).

cnf(c_0_232,negated_conjecture,
    ( midp(esk2_0,esk1_0,esk1_0)
    | ~ circle(esk1_0,esk1_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_233,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_225]) ).

cnf(c_0_234,negated_conjecture,
    ( coll(X1,esk1_0,esk8_0)
    | ~ coll(esk8_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_226]) ).

cnf(c_0_235,negated_conjecture,
    coll(esk8_0,esk2_0,esk10_0),
    inference(spm,[status(thm)],[c_0_70,c_0_227]) ).

cnf(c_0_236,negated_conjecture,
    ( para(esk10_0,esk6_0,X1,X2)
    | ~ perp(X1,X2,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_228]) ).

cnf(c_0_237,negated_conjecture,
    para(esk9_0,esk6_0,esk10_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_155])]) ).

fof(c_0_238,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_239,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_58]),c_0_58])]) ).

cnf(c_0_240,negated_conjecture,
    midp(esk2_0,esk1_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_108])]) ).

cnf(c_0_241,negated_conjecture,
    coll(esk10_0,esk1_0,esk8_0),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_242,negated_conjecture,
    ( perp(esk10_0,esk6_0,X1,X2)
    | ~ perp(X3,X4,esk3_0,esk5_0)
    | ~ perp(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_236]) ).

cnf(c_0_243,negated_conjecture,
    ( perp(esk9_0,esk6_0,X1,X2)
    | ~ perp(esk10_0,esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_237]) ).

cnf(c_0_244,negated_conjecture,
    ( perp(X1,X2,X1,X2)
    | ~ perp(X3,X4,X4,X3) ),
    inference(spm,[status(thm)],[c_0_105,c_0_83]) ).

cnf(c_0_245,negated_conjecture,
    ( para(X1,X2,esk3_0,esk5_0)
    | ~ perp(X1,X2,esk10_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_193]) ).

fof(c_0_246,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_247,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_238]) ).

cnf(c_0_248,negated_conjecture,
    midp(esk2_0,X1,X1),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_249,negated_conjecture,
    coll(esk10_0,esk8_0,esk1_0),
    inference(spm,[status(thm)],[c_0_70,c_0_241]) ).

cnf(c_0_250,negated_conjecture,
    ( perp(esk10_0,esk6_0,X1,X2)
    | ~ perp(esk9_0,esk6_0,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_193])]) ).

cnf(c_0_251,negated_conjecture,
    perp(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_127])]) ).

cnf(c_0_252,negated_conjecture,
    ( para(esk3_0,esk5_0,X1,X2)
    | ~ perp(X1,X2,esk10_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_245]) ).

cnf(c_0_253,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_246]) ).

cnf(c_0_254,negated_conjecture,
    cong(esk2_0,X1,esk2_0,X1),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_255,negated_conjecture,
    coll(esk11_0,esk9_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_256,negated_conjecture,
    coll(esk8_0,esk10_0,esk1_0),
    inference(spm,[status(thm)],[c_0_63,c_0_249]) ).

cnf(c_0_257,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk10_0,esk6_0,X3,X4)
    | ~ perp(X1,X2,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_112,c_0_228]) ).

cnf(c_0_258,negated_conjecture,
    perp(esk10_0,esk6_0,esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_133]),c_0_251])]) ).

cnf(c_0_259,negated_conjecture,
    ( perp(esk3_0,esk5_0,X1,X2)
    | ~ perp(X3,X4,esk10_0,esk6_0)
    | ~ perp(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_252]) ).

cnf(c_0_260,negated_conjecture,
    perp(esk2_0,esk2_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_254])]) ).

cnf(c_0_261,negated_conjecture,
    ( coll(X1,esk10_0,esk11_0)
    | ~ coll(esk11_0,esk9_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_255]) ).

cnf(c_0_262,negated_conjecture,
    coll(esk8_0,esk1_0,esk10_0),
    inference(spm,[status(thm)],[c_0_70,c_0_256]) ).

cnf(c_0_263,negated_conjecture,
    ( para(esk1_0,esk2_0,X1,X2)
    | ~ perp(X1,X2,esk8_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_120,c_0_179]) ).

cnf(c_0_264,negated_conjecture,
    ( perp(X1,X2,esk1_0,esk2_0)
    | ~ perp(X1,X2,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_265,negated_conjecture,
    perp(esk3_0,esk5_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_260])]) ).

cnf(c_0_266,negated_conjecture,
    coll(esk10_0,esk10_0,esk11_0),
    inference(spm,[status(thm)],[c_0_261,c_0_255]) ).

cnf(c_0_267,negated_conjecture,
    ( coll(X1,esk10_0,esk8_0)
    | ~ coll(esk8_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_262]) ).

cnf(c_0_268,negated_conjecture,
    ( perp(esk1_0,esk2_0,X1,X2)
    | ~ perp(X3,X4,esk8_0,esk6_0)
    | ~ perp(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_263]) ).

cnf(c_0_269,negated_conjecture,
    ( perp(X1,X2,esk1_0,esk2_0)
    | ~ perp(X2,X1,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_264]) ).

cnf(c_0_270,negated_conjecture,
    perp(X1,X2,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_39,c_0_265]) ).

cnf(c_0_271,negated_conjecture,
    ( coll(X1,esk11_0,esk10_0)
    | ~ coll(esk10_0,esk10_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_266]) ).

cnf(c_0_272,negated_conjecture,
    coll(esk10_0,esk10_0,esk8_0),
    inference(spm,[status(thm)],[c_0_267,c_0_262]) ).

cnf(c_0_273,negated_conjecture,
    perp(esk1_0,esk2_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_260]),c_0_260])]) ).

cnf(c_0_274,negated_conjecture,
    perp(X1,X2,esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_270])]) ).

fof(c_0_275,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_276,negated_conjecture,
    coll(esk8_0,esk11_0,esk10_0),
    inference(spm,[status(thm)],[c_0_271,c_0_272]) ).

cnf(c_0_277,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_273]),c_0_274])]) ).

cnf(c_0_278,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_275]) ).

cnf(c_0_279,negated_conjecture,
    coll(esk11_0,esk10_0,esk9_0),
    inference(spm,[status(thm)],[c_0_70,c_0_255]) ).

cnf(c_0_280,negated_conjecture,
    coll(esk11_0,esk8_0,esk10_0),
    inference(spm,[status(thm)],[c_0_63,c_0_276]) ).

cnf(c_0_281,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_277])]) ).

cnf(c_0_282,negated_conjecture,
    ~ cyclic(esk6_0,esk8_0,esk11_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_283,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X2,X1,X2,X3,X4,X1,X4,X3)
    | ~ coll(X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_278,c_0_77]) ).

cnf(c_0_284,negated_conjecture,
    ( coll(X1,esk9_0,esk11_0)
    | ~ coll(esk11_0,esk10_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_279]) ).

cnf(c_0_285,negated_conjecture,
    coll(esk11_0,esk10_0,esk8_0),
    inference(spm,[status(thm)],[c_0_70,c_0_280]) ).

cnf(c_0_286,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(spm,[status(thm)],[c_0_51,c_0_281]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ eqangle(esk8_0,esk6_0,esk8_0,esk11_0,esk9_0,esk6_0,esk9_0,esk11_0)
    | ~ coll(esk8_0,esk9_0,esk11_0) ),
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_288,negated_conjecture,
    coll(esk8_0,esk9_0,esk11_0),
    inference(spm,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_289,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_74,c_0_286]) ).

cnf(c_0_290,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_74,c_0_281]) ).

cnf(c_0_291,negated_conjecture,
    ~ eqangle(esk8_0,esk6_0,esk8_0,esk11_0,esk9_0,esk6_0,esk9_0,esk11_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_288])]) ).

cnf(c_0_292,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_289]),c_0_290])]) ).

cnf(c_0_293,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_291,c_0_292])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO631+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 17 16:30:39 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.26/6.45  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/6.45  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/6.45  # Preprocessing time       : 0.025 s
% 0.26/6.45  
% 0.26/6.45  # Proof found!
% 0.26/6.45  # SZS status Theorem
% 0.26/6.45  # SZS output start CNFRefutation
% See solution above
% 0.26/6.45  # Proof object total steps             : 294
% 0.26/6.45  # Proof object clause steps            : 225
% 0.26/6.45  # Proof object formula steps           : 69
% 0.26/6.45  # Proof object conjectures             : 172
% 0.26/6.45  # Proof object clause conjectures      : 169
% 0.26/6.45  # Proof object formula conjectures     : 3
% 0.26/6.45  # Proof object initial clauses used    : 44
% 0.26/6.45  # Proof object initial formulas used   : 34
% 0.26/6.45  # Proof object generating inferences   : 166
% 0.26/6.45  # Proof object simplifying inferences  : 69
% 0.26/6.45  # Training examples: 0 positive, 0 negative
% 0.26/6.45  # Parsed axioms                        : 95
% 0.26/6.45  # Removed by relevancy pruning/SinE    : 21
% 0.26/6.45  # Initial clauses                      : 106
% 0.26/6.45  # Removed in clause preprocessing      : 0
% 0.26/6.45  # Initial clauses in saturation        : 106
% 0.26/6.45  # Processed clauses                    : 18212
% 0.26/6.45  # ...of these trivial                  : 5202
% 0.26/6.45  # ...subsumed                          : 5463
% 0.26/6.45  # ...remaining for further processing  : 7547
% 0.26/6.45  # Other redundant clauses eliminated   : 0
% 0.26/6.45  # Clauses deleted for lack of memory   : 0
% 0.26/6.45  # Backward-subsumed                    : 1011
% 0.26/6.45  # Backward-rewritten                   : 6174
% 0.26/6.45  # Generated clauses                    : 211739
% 0.26/6.45  # ...of the previous two non-trivial   : 167188
% 0.26/6.45  # Contextual simplify-reflections      : 210
% 0.26/6.45  # Paramodulations                      : 211739
% 0.26/6.45  # Factorizations                       : 0
% 0.26/6.45  # Equation resolutions                 : 0
% 0.26/6.45  # Current number of processed clauses  : 362
% 0.26/6.45  #    Positive orientable unit clauses  : 106
% 0.26/6.45  #    Positive unorientable unit clauses: 0
% 0.26/6.45  #    Negative unit clauses             : 1
% 0.26/6.45  #    Non-unit-clauses                  : 255
% 0.26/6.45  # Current number of unprocessed clauses: 1778
% 0.26/6.45  # ...number of literals in the above   : 5163
% 0.26/6.45  # Current number of archived formulas  : 0
% 0.26/6.45  # Current number of archived clauses   : 7185
% 0.26/6.45  # Clause-clause subsumption calls (NU) : 2388500
% 0.26/6.45  # Rec. Clause-clause subsumption calls : 1577297
% 0.26/6.45  # Non-unit clause-clause subsumptions  : 6048
% 0.26/6.45  # Unit Clause-clause subsumption calls : 528209
% 0.26/6.45  # Rewrite failures with RHS unbound    : 0
% 0.26/6.45  # BW rewrite match attempts            : 152081
% 0.26/6.45  # BW rewrite match successes           : 5052
% 0.26/6.45  # Condensation attempts                : 0
% 0.26/6.45  # Condensation successes               : 0
% 0.26/6.45  # Termbank termtop insertions          : 3161578
% 0.26/6.45  
% 0.26/6.45  # -------------------------------------------------
% 0.26/6.45  # User time                : 5.133 s
% 0.26/6.45  # System time              : 0.072 s
% 0.26/6.45  # Total time               : 5.205 s
% 0.26/6.45  # Maximum resident set size: 97068 pages
% 0.26/23.43  eprover: CPU time limit exceeded, terminating
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49  eprover: No such file or directory
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------