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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 04:06:19 EDT 2022

% Result   : Theorem 0.26s 1.43s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  224 (  92 unt;   0 def)
%            Number of atoms       :  412 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  326 ( 138   ~; 133   |;  25   &)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  582 (  42 sgn 298   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012011,conjecture,
    ! [X1,X2,X3,X4,X19,X7,X17] :
      ( ( perp(X4,X1,X2,X3)
        & coll(X4,X2,X3)
        & midp(X19,X1,X2)
        & midp(X7,X3,X2)
        & midp(X17,X1,X3) )
     => cyclic(X19,X4,X7,X17) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL012011) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

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

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

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(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(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(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(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(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(ruleD6,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & para(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

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

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

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(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(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(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(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(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(c_0_29,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X19,X7,X17] :
        ( ( perp(X4,X1,X2,X3)
          & coll(X4,X2,X3)
          & midp(X19,X1,X2)
          & midp(X7,X3,X2)
          & midp(X17,X1,X3) )
       => cyclic(X19,X4,X7,X17) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012011]) ).

fof(c_0_30,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_31,negated_conjecture,
    ( perp(esk4_0,esk1_0,esk2_0,esk3_0)
    & coll(esk4_0,esk2_0,esk3_0)
    & midp(esk5_0,esk1_0,esk2_0)
    & midp(esk6_0,esk3_0,esk2_0)
    & midp(esk7_0,esk1_0,esk3_0)
    & ~ cyclic(esk5_0,esk4_0,esk6_0,esk7_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).

fof(c_0_32,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_33,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    midp(esk6_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_35,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_36,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_37,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    cong(esk6_0,esk3_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

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])]) ).

cnf(c_0_41,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    cong(esk6_0,esk3_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    midp(esk6_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_39,c_0_34]) ).

fof(c_0_44,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ cong(X7,X8,X9,X10)
      | ~ cong(X9,X10,X11,X12)
      | cong(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

fof(c_0_45,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ midp(X11,X7,X9)
      | para(X10,X11,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

fof(c_0_46,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])]) ).

cnf(c_0_47,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_48,negated_conjecture,
    perp(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_49,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | perp(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_50,negated_conjecture,
    cong(esk2_0,esk6_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_51,negated_conjecture,
    cong(esk6_0,esk2_0,esk6_0,esk3_0),
    inference(spm,[status(thm)],[c_0_33,c_0_43]) ).

cnf(c_0_52,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

fof(c_0_53,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_54,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_55,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_56,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_57,negated_conjecture,
    perp(esk2_0,esk3_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_58,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_59,negated_conjecture,
    cong(esk2_0,esk6_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_37,c_0_50]) ).

cnf(c_0_60,negated_conjecture,
    cong(esk6_0,esk2_0,esk3_0,esk6_0),
    inference(spm,[status(thm)],[c_0_37,c_0_51]) ).

cnf(c_0_61,negated_conjecture,
    ( cong(X1,X2,esk6_0,esk2_0)
    | ~ cong(X1,X2,esk6_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_38]) ).

fof(c_0_62,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_63,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])])])]) ).

fof(c_0_64,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ midp(X12,X10,X11)
      | para(X8,X10,X9,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).

cnf(c_0_65,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_66,negated_conjecture,
    ( para(X1,esk6_0,X2,esk3_0)
    | ~ midp(X1,esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_43]) ).

cnf(c_0_67,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    ( para(X1,X2,esk4_0,esk1_0)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_69,negated_conjecture,
    ( perp(esk2_0,esk3_0,X1,esk6_0)
    | ~ cong(esk2_0,X1,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_70,negated_conjecture,
    ( cong(X1,X2,esk3_0,esk6_0)
    | ~ cong(X1,X2,esk6_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_52,c_0_60]) ).

cnf(c_0_71,negated_conjecture,
    cong(esk2_0,esk6_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_61,c_0_50]) ).

fof(c_0_72,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_73,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_74,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_75,negated_conjecture,
    ( para(X1,esk6_0,X2,esk2_0)
    | ~ midp(X1,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_34]) ).

cnf(c_0_76,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_77,negated_conjecture,
    ( para(X1,X2,X3,esk3_0)
    | ~ midp(X4,esk2_0,X3)
    | ~ para(X1,X2,X4,esk6_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_78,negated_conjecture,
    ( para(esk4_0,esk1_0,X1,X2)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_79,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_69,c_0_70]),c_0_71])]) ).

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

cnf(c_0_82,negated_conjecture,
    coll(esk6_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_73,c_0_34]) ).

cnf(c_0_83,negated_conjecture,
    midp(esk5_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_84,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_85,negated_conjecture,
    ( eqangle(X1,esk6_0,X2,X3,X4,esk2_0,X2,X3)
    | ~ midp(X1,esk3_0,X4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_86,negated_conjecture,
    ( para(X1,esk3_0,X2,esk2_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_34]) ).

cnf(c_0_87,negated_conjecture,
    ( para(esk4_0,esk1_0,X1,esk3_0)
    | ~ midp(X2,esk2_0,X1)
    | ~ perp(X2,esk6_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_88,negated_conjecture,
    perp(esk6_0,esk6_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_47,c_0_79]) ).

cnf(c_0_89,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_90,negated_conjecture,
    coll(esk3_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_91,negated_conjecture,
    coll(esk5_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_73,c_0_83]) ).

cnf(c_0_92,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_93,negated_conjecture,
    eqangle(esk6_0,esk6_0,X1,X2,esk2_0,esk2_0,X1,X2),
    inference(spm,[status(thm)],[c_0_85,c_0_34]) ).

fof(c_0_94,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_95,negated_conjecture,
    ( para(X1,X2,X3,esk2_0)
    | ~ midp(esk6_0,X4,X3)
    | ~ para(X1,X2,X4,esk3_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_86]) ).

cnf(c_0_96,negated_conjecture,
    para(esk4_0,esk1_0,esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_43]),c_0_88])]) ).

cnf(c_0_97,negated_conjecture,
    cong(esk6_0,esk2_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_61,c_0_51]) ).

cnf(c_0_98,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk1_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_91]) ).

cnf(c_0_100,negated_conjecture,
    midp(esk7_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_101,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_48]) ).

cnf(c_0_102,negated_conjecture,
    para(esk6_0,esk6_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_103,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_104,negated_conjecture,
    ( para(esk4_0,esk1_0,X1,esk2_0)
    | ~ midp(esk6_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_105,negated_conjecture,
    ( perp(esk6_0,esk6_0,X1,esk2_0)
    | ~ cong(esk6_0,X1,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_97]) ).

cnf(c_0_106,negated_conjecture,
    coll(esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_98,c_0_90]) ).

cnf(c_0_107,negated_conjecture,
    ( coll(X1,esk2_0,esk1_0)
    | ~ coll(esk1_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_99]) ).

fof(c_0_108,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_109,negated_conjecture,
    ( para(X1,esk1_0,X2,esk3_0)
    | ~ midp(esk7_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_100]) ).

fof(c_0_110,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_111,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X3,X4,esk4_0,esk1_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_65,c_0_101]) ).

cnf(c_0_112,negated_conjecture,
    para(esk2_0,esk2_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_67,c_0_102]) ).

cnf(c_0_113,negated_conjecture,
    ( perp(esk4_0,esk1_0,X1,X2)
    | ~ midp(esk6_0,esk3_0,X3)
    | ~ perp(X3,esk2_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_114,negated_conjecture,
    perp(esk6_0,esk6_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_105,c_0_97]) ).

cnf(c_0_115,negated_conjecture,
    ( coll(X1,esk3_0,esk2_0)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_106]) ).

cnf(c_0_116,negated_conjecture,
    coll(esk2_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_107,c_0_99]) ).

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

cnf(c_0_118,negated_conjecture,
    coll(esk7_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_73,c_0_100]) ).

fof(c_0_119,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_120,negated_conjecture,
    ( eqangle(X1,esk1_0,X2,X3,X4,esk3_0,X2,X3)
    | ~ midp(esk7_0,X1,X4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_109]) ).

cnf(c_0_121,negated_conjecture,
    midp(esk7_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_39,c_0_100]) ).

cnf(c_0_122,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_123,negated_conjecture,
    ( para(esk2_0,esk2_0,esk2_0,esk3_0)
    | ~ perp(esk6_0,esk6_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_124,negated_conjecture,
    ( perp(esk4_0,esk1_0,X1,X2)
    | ~ perp(esk2_0,esk2_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_113,c_0_34]) ).

cnf(c_0_125,negated_conjecture,
    perp(esk2_0,esk2_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_47,c_0_114]) ).

cnf(c_0_126,negated_conjecture,
    coll(esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_127,negated_conjecture,
    coll(esk7_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

fof(c_0_128,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_129,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_119]) ).

cnf(c_0_130,negated_conjecture,
    eqangle(esk3_0,esk1_0,X1,X2,esk1_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_131,negated_conjecture,
    ( para(esk2_0,esk2_0,esk3_0,esk2_0)
    | ~ perp(esk6_0,esk6_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_122,c_0_123]) ).

cnf(c_0_132,negated_conjecture,
    perp(esk4_0,esk1_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_133,negated_conjecture,
    coll(esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_126]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk3_0,esk7_0,esk1_0),
    inference(spm,[status(thm)],[c_0_81,c_0_127]) ).

cnf(c_0_135,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_128]) ).

cnf(c_0_136,negated_conjecture,
    eqangle(esk1_0,esk3_0,X1,X2,esk1_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

fof(c_0_137,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_138,negated_conjecture,
    ( para(esk3_0,esk2_0,esk2_0,esk2_0)
    | ~ perp(esk6_0,esk6_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_131]) ).

cnf(c_0_139,negated_conjecture,
    perp(esk6_0,esk6_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_47,c_0_132]) ).

cnf(c_0_140,negated_conjecture,
    coll(esk4_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_141,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_133]) ).

cnf(c_0_142,negated_conjecture,
    coll(esk3_0,esk1_0,esk7_0),
    inference(spm,[status(thm)],[c_0_117,c_0_134]) ).

cnf(c_0_143,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk3_0,X1,X2,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_144,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_137]) ).

cnf(c_0_145,negated_conjecture,
    para(esk3_0,esk2_0,esk2_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]) ).

cnf(c_0_146,negated_conjecture,
    coll(esk2_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_81,c_0_140]) ).

cnf(c_0_147,negated_conjecture,
    coll(esk7_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_148,negated_conjecture,
    ( para(X1,esk2_0,X2,esk3_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_76,c_0_43]) ).

cnf(c_0_149,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_92,c_0_143]) ).

cnf(c_0_150,negated_conjecture,
    ( midp(X1,esk2_0,esk2_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_145])]) ).

cnf(c_0_151,negated_conjecture,
    coll(esk2_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_117,c_0_146]) ).

cnf(c_0_152,negated_conjecture,
    coll(esk7_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_117,c_0_147]) ).

fof(c_0_153,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_154,negated_conjecture,
    ( para(esk6_0,esk6_0,esk2_0,esk3_0)
    | ~ perp(esk2_0,esk2_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_111,c_0_102]) ).

cnf(c_0_155,negated_conjecture,
    ( perp(X1,esk2_0,X2,X3)
    | ~ midp(esk6_0,X1,X4)
    | ~ perp(X4,esk3_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_103,c_0_148]) ).

cnf(c_0_156,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_149]),c_0_149])]) ).

cnf(c_0_157,negated_conjecture,
    midp(esk6_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_150,c_0_34]) ).

cnf(c_0_158,negated_conjecture,
    coll(esk3_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_81,c_0_151]) ).

cnf(c_0_159,negated_conjecture,
    coll(esk3_0,esk7_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_152]) ).

cnf(c_0_160,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_161,negated_conjecture,
    ( para(esk6_0,esk6_0,esk3_0,esk2_0)
    | ~ perp(esk2_0,esk2_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_122,c_0_154]) ).

cnf(c_0_162,negated_conjecture,
    ( perp(X1,esk2_0,esk4_0,esk1_0)
    | ~ midp(esk6_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_155,c_0_57]) ).

cnf(c_0_163,negated_conjecture,
    midp(esk6_0,X1,X1),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_164,negated_conjecture,
    ( coll(X1,esk4_0,esk3_0)
    | ~ coll(esk3_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_158]) ).

cnf(c_0_165,negated_conjecture,
    coll(esk3_0,esk2_0,esk7_0),
    inference(spm,[status(thm)],[c_0_117,c_0_159]) ).

cnf(c_0_166,negated_conjecture,
    perp(esk4_0,esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_160,c_0_48]) ).

cnf(c_0_167,negated_conjecture,
    ( para(esk3_0,esk2_0,esk6_0,esk6_0)
    | ~ perp(esk2_0,esk2_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_161]) ).

cnf(c_0_168,negated_conjecture,
    perp(esk2_0,esk2_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_162,c_0_157]) ).

cnf(c_0_169,negated_conjecture,
    cong(esk6_0,X1,esk6_0,X1),
    inference(spm,[status(thm)],[c_0_33,c_0_163]) ).

cnf(c_0_170,negated_conjecture,
    perp(esk2_0,esk3_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_160,c_0_57]) ).

cnf(c_0_171,negated_conjecture,
    coll(esk7_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_172,negated_conjecture,
    perp(esk3_0,esk2_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_47,c_0_166]) ).

cnf(c_0_173,negated_conjecture,
    para(esk3_0,esk2_0,esk6_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168])]) ).

cnf(c_0_174,negated_conjecture,
    perp(esk6_0,esk6_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_169]),c_0_169])]) ).

cnf(c_0_175,negated_conjecture,
    ( perp(X1,esk2_0,esk1_0,esk4_0)
    | ~ midp(esk6_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_155,c_0_170]) ).

cnf(c_0_176,negated_conjecture,
    coll(esk4_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_117,c_0_140]) ).

cnf(c_0_177,negated_conjecture,
    coll(esk4_0,esk7_0,esk3_0),
    inference(spm,[status(thm)],[c_0_81,c_0_171]) ).

cnf(c_0_178,negated_conjecture,
    perp(esk3_0,esk2_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_160,c_0_172]) ).

cnf(c_0_179,negated_conjecture,
    perp(esk3_0,esk2_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_173]),c_0_174])]) ).

cnf(c_0_180,negated_conjecture,
    perp(esk2_0,esk2_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_175,c_0_157]) ).

cnf(c_0_181,negated_conjecture,
    coll(esk3_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_117,c_0_90]) ).

cnf(c_0_182,negated_conjecture,
    ( coll(X1,esk2_0,esk4_0)
    | ~ coll(esk4_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_176]) ).

cnf(c_0_183,negated_conjecture,
    coll(esk4_0,esk3_0,esk7_0),
    inference(spm,[status(thm)],[c_0_117,c_0_177]) ).

cnf(c_0_184,negated_conjecture,
    ( para(X1,X2,esk3_0,esk2_0)
    | ~ perp(X1,X2,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_166]) ).

cnf(c_0_185,negated_conjecture,
    ( para(X1,X2,esk1_0,esk4_0)
    | ~ perp(X1,X2,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_56,c_0_178]) ).

cnf(c_0_186,negated_conjecture,
    perp(X1,X2,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_47,c_0_179]) ).

cnf(c_0_187,negated_conjecture,
    perp(esk4_0,esk1_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_124,c_0_180]) ).

cnf(c_0_188,negated_conjecture,
    coll(esk6_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_164,c_0_181]) ).

cnf(c_0_189,negated_conjecture,
    coll(esk7_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_190,negated_conjecture,
    ( para(X1,X2,esk3_0,esk2_0)
    | ~ perp(X3,X4,esk4_0,esk1_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_65,c_0_184]) ).

cnf(c_0_191,negated_conjecture,
    para(X1,X2,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186])]) ).

cnf(c_0_192,negated_conjecture,
    perp(esk1_0,esk4_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_47,c_0_187]) ).

cnf(c_0_193,negated_conjecture,
    ( coll(X1,esk2_0,esk6_0)
    | ~ coll(esk6_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_82]) ).

cnf(c_0_194,negated_conjecture,
    coll(esk6_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_117,c_0_188]) ).

cnf(c_0_195,negated_conjecture,
    coll(esk7_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_117,c_0_189]) ).

cnf(c_0_196,negated_conjecture,
    para(X1,X2,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192])]) ).

cnf(c_0_197,negated_conjecture,
    coll(esk4_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_198,negated_conjecture,
    coll(esk4_0,esk7_0,esk2_0),
    inference(spm,[status(thm)],[c_0_81,c_0_195]) ).

cnf(c_0_199,negated_conjecture,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_196]),c_0_179])]) ).

fof(c_0_200,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])]) ).

fof(c_0_201,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])]) ).

cnf(c_0_202,negated_conjecture,
    ( coll(X1,esk6_0,esk4_0)
    | ~ coll(esk4_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_197]) ).

cnf(c_0_203,negated_conjecture,
    coll(esk4_0,esk2_0,esk7_0),
    inference(spm,[status(thm)],[c_0_117,c_0_198]) ).

cnf(c_0_204,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_199]),c_0_199])]) ).

cnf(c_0_205,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_200]) ).

cnf(c_0_206,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_201]) ).

cnf(c_0_207,negated_conjecture,
    coll(esk7_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

fof(c_0_208,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_209,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_204])]) ).

cnf(c_0_210,negated_conjecture,
    ~ cyclic(esk5_0,esk4_0,esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_211,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_205,c_0_206]) ).

cnf(c_0_212,negated_conjecture,
    coll(esk7_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_117,c_0_207]) ).

fof(c_0_213,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])]) ).

cnf(c_0_214,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_208]) ).

cnf(c_0_215,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(spm,[status(thm)],[c_0_135,c_0_209]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ eqangle(esk4_0,esk5_0,esk4_0,esk6_0,esk7_0,esk5_0,esk7_0,esk6_0)
    | ~ coll(esk4_0,esk7_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_217,negated_conjecture,
    coll(esk4_0,esk7_0,esk6_0),
    inference(spm,[status(thm)],[c_0_81,c_0_212]) ).

cnf(c_0_218,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_213]) ).

cnf(c_0_219,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_220,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_214,c_0_209]) ).

cnf(c_0_221,negated_conjecture,
    ~ eqangle(esk4_0,esk5_0,esk4_0,esk6_0,esk7_0,esk5_0,esk7_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_217])]) ).

cnf(c_0_222,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220])]) ).

cnf(c_0_223,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_221,c_0_222])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n020.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 10:42:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.26/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.43  # Preprocessing time       : 0.022 s
% 0.26/1.43  
% 0.26/1.43  # Proof found!
% 0.26/1.43  # SZS status Theorem
% 0.26/1.43  # SZS output start CNFRefutation
% See solution above
% 0.26/1.43  # Proof object total steps             : 224
% 0.26/1.43  # Proof object clause steps            : 165
% 0.26/1.43  # Proof object formula steps           : 59
% 0.26/1.43  # Proof object conjectures             : 133
% 0.26/1.43  # Proof object clause conjectures      : 130
% 0.26/1.43  # Proof object formula conjectures     : 3
% 0.26/1.43  # Proof object initial clauses used    : 34
% 0.26/1.43  # Proof object initial formulas used   : 29
% 0.26/1.43  # Proof object generating inferences   : 124
% 0.26/1.43  # Proof object simplifying inferences  : 33
% 0.26/1.43  # Training examples: 0 positive, 0 negative
% 0.26/1.43  # Parsed axioms                        : 95
% 0.26/1.43  # Removed by relevancy pruning/SinE    : 31
% 0.26/1.43  # Initial clauses                      : 85
% 0.26/1.43  # Removed in clause preprocessing      : 0
% 0.26/1.43  # Initial clauses in saturation        : 85
% 0.26/1.43  # Processed clauses                    : 4992
% 0.26/1.43  # ...of these trivial                  : 335
% 0.26/1.43  # ...subsumed                          : 1175
% 0.26/1.43  # ...remaining for further processing  : 3482
% 0.26/1.43  # Other redundant clauses eliminated   : 0
% 0.26/1.43  # Clauses deleted for lack of memory   : 0
% 0.26/1.43  # Backward-subsumed                    : 226
% 0.26/1.43  # Backward-rewritten                   : 2907
% 0.26/1.43  # Generated clauses                    : 40974
% 0.26/1.43  # ...of the previous two non-trivial   : 37299
% 0.26/1.43  # Contextual simplify-reflections      : 88
% 0.26/1.43  # Paramodulations                      : 40974
% 0.26/1.43  # Factorizations                       : 0
% 0.26/1.43  # Equation resolutions                 : 0
% 0.26/1.43  # Current number of processed clauses  : 349
% 0.26/1.43  #    Positive orientable unit clauses  : 68
% 0.26/1.43  #    Positive unorientable unit clauses: 0
% 0.26/1.43  #    Negative unit clauses             : 1
% 0.26/1.43  #    Non-unit-clauses                  : 280
% 0.26/1.43  # Current number of unprocessed clauses: 900
% 0.26/1.43  # ...number of literals in the above   : 2707
% 0.26/1.43  # Current number of archived formulas  : 0
% 0.26/1.43  # Current number of archived clauses   : 3133
% 0.26/1.43  # Clause-clause subsumption calls (NU) : 667603
% 0.26/1.43  # Rec. Clause-clause subsumption calls : 519052
% 0.26/1.43  # Non-unit clause-clause subsumptions  : 1318
% 0.26/1.43  # Unit Clause-clause subsumption calls : 93923
% 0.26/1.43  # Rewrite failures with RHS unbound    : 0
% 0.26/1.43  # BW rewrite match attempts            : 28700
% 0.26/1.43  # BW rewrite match successes           : 2064
% 0.26/1.43  # Condensation attempts                : 0
% 0.26/1.43  # Condensation successes               : 0
% 0.26/1.43  # Termbank termtop insertions          : 584088
% 0.26/1.43  
% 0.26/1.43  # -------------------------------------------------
% 0.26/1.43  # User time                : 0.948 s
% 0.26/1.43  # System time              : 0.015 s
% 0.26/1.43  # Total time               : 0.963 s
% 0.26/1.43  # Maximum resident set size: 26552 pages
% 0.26/23.42  eprover: CPU time limit exceeded, terminating
% 0.26/23.43  eprover: CPU time limit exceeded, terminating
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49  eprover: No such file or directory
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49  eprover: No such file or directory
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------