↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 04:06:37 EDT 2022

% Result   : Theorem 0.23s 2.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  282 (  98 unt;   0 def)
%            Number of atoms       :  576 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  515 ( 221   ~; 217   |;  37   &)
%                                         (   0 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  744 (  44 sgn 394   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416058,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19] :
      ( ( circle(X4,X1,X2,X3)
        & circle(X4,X1,X5,X19)
        & coll(X6,X1,X2)
        & coll(X6,X3,X5)
        & para(X1,X5,X13,X6)
        & coll(X13,X2,X3) )
     => eqangle(X13,X6,X6,X2,X6,X3,X3,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULL416058) ).

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

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

fof(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(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(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(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(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(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(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(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

fof(ruleD42a,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & ~ coll(X9,X10,X1) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

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

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

fof(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X4)
        & cyclic(X1,X2,X3,X5) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

fof(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

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

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(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(ruleD50,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & midp(X7,X2,X3) )
     => eqangle(X1,X2,X1,X3,X8,X2,X8,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

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

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

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

fof(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(ruleD48,axiom,
    ! [X1,X2,X3,X8,X16] :
      ( ( circle(X8,X1,X2,X3)
        & perp(X8,X1,X1,X16) )
     => eqangle(X1,X16,X1,X2,X3,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).

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(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(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_39,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19] :
        ( ( circle(X4,X1,X2,X3)
          & circle(X4,X1,X5,X19)
          & coll(X6,X1,X2)
          & coll(X6,X3,X5)
          & para(X1,X5,X13,X6)
          & coll(X13,X2,X3) )
       => eqangle(X13,X6,X6,X2,X6,X3,X3,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416058]) ).

fof(c_0_40,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

fof(c_0_41,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & circle(esk24_0,esk21_0,esk25_0,esk28_0)
    & coll(esk26_0,esk21_0,esk22_0)
    & coll(esk26_0,esk23_0,esk25_0)
    & para(esk21_0,esk25_0,esk27_0,esk26_0)
    & coll(esk27_0,esk22_0,esk23_0)
    & ~ eqangle(esk27_0,esk26_0,esk26_0,esk22_0,esk26_0,esk23_0,esk23_0,esk22_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).

fof(c_0_42,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_43,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk27_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_45,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_46,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk22_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_48,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_49,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_50,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])]) ).

fof(c_0_51,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_52,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk22_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_54,negated_conjecture,
    coll(esk26_0,esk23_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_55,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_48]) ).

cnf(c_0_56,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

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

cnf(c_0_58,negated_conjecture,
    para(esk21_0,esk25_0,esk27_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_59,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_60,negated_conjecture,
    ( coll(X1,esk27_0,esk22_0)
    | ~ coll(esk22_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    ( coll(X1,esk23_0,esk27_0)
    | ~ coll(esk27_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_44]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk26_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_46,c_0_54]) ).

fof(c_0_63,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])]) ).

fof(c_0_64,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_65,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    ( para(X1,X2,esk27_0,esk26_0)
    | ~ para(X1,X2,esk21_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_67,negated_conjecture,
    para(esk27_0,esk26_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_58]) ).

cnf(c_0_68,negated_conjecture,
    coll(esk27_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_60,c_0_53]) ).

cnf(c_0_69,negated_conjecture,
    coll(esk23_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_61,c_0_44]) ).

cnf(c_0_70,negated_conjecture,
    ( coll(X1,esk23_0,esk26_0)
    | ~ coll(esk26_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_62]) ).

cnf(c_0_71,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_63]) ).

fof(c_0_72,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])])])]) ).

fof(c_0_73,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cyclic(X11,X12,X13,X14)
      | eqangle(X13,X11,X13,X12,X14,X11,X14,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

fof(c_0_74,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X6,X5,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_75,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_76,negated_conjecture,
    ( cyclic(esk26_0,X1,esk27_0,esk27_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk27_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_46,c_0_68]) ).

cnf(c_0_78,negated_conjecture,
    ( coll(X1,esk27_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_70,c_0_62]) ).

fof(c_0_80,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | coll(X13,X14,X11)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ruleD42a])])]) ).

cnf(c_0_81,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_71,c_0_56]) ).

cnf(c_0_82,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_83,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_84,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_85,negated_conjecture,
    ( cyclic(esk26_0,esk27_0,X1,esk27_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_86,negated_conjecture,
    ( coll(X1,esk27_0,esk27_0)
    | ~ coll(esk27_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_77]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk26_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_88,plain,
    ( cyclic(X1,X2,X3,X4)
    | coll(X3,X4,X1)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_89,plain,
    ( cyclic(X1,X1,X2,X3)
    | ~ para(X2,X1,X2,X1)
    | ~ coll(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_81]) ).

cnf(c_0_90,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_91,negated_conjecture,
    ( cyclic(esk27_0,esk26_0,X1,esk27_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk27_0,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_86,c_0_77]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk26_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk27_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_46,c_0_44]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk27_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_43,c_0_87]) ).

fof(c_0_96,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ para(X17,X18,X19,X20)
      | para(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])])]) ).

fof(c_0_97,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_98,plain,
    ( cyclic(X1,X1,X2,X3)
    | ~ para(X2,X1,X2,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_81]),c_0_89]) ).

cnf(c_0_99,negated_conjecture,
    para(esk27_0,esk27_0,esk27_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk26_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_93]) ).

cnf(c_0_101,negated_conjecture,
    ( coll(X1,esk22_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk27_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_46,c_0_95]) ).

cnf(c_0_103,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_104,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_105,negated_conjecture,
    cyclic(esk27_0,esk27_0,esk27_0,X1),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_106,negated_conjecture,
    coll(esk22_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_43,c_0_100]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk26_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

fof(c_0_108,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_109,plain,
    ( para(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ para(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_103,c_0_83]) ).

cnf(c_0_110,negated_conjecture,
    cyclic(esk27_0,esk27_0,X1,esk27_0),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

fof(c_0_111,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_112,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(esk22_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    coll(esk22_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_43,c_0_107]) ).

cnf(c_0_114,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_115,negated_conjecture,
    para(X1,esk27_0,X1,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_99])]) ).

fof(c_0_116,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_117,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_118,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk27_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_120,negated_conjecture,
    coll(esk27_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_61,c_0_77]) ).

cnf(c_0_121,negated_conjecture,
    coll(X1,esk27_0,esk27_0),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

fof(c_0_122,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_123,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_124,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk22_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_125,negated_conjecture,
    coll(esk27_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_119]) ).

cnf(c_0_126,negated_conjecture,
    coll(esk27_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_46,c_0_120]) ).

cnf(c_0_127,negated_conjecture,
    coll(esk27_0,X1,esk27_0),
    inference(spm,[status(thm)],[c_0_43,c_0_121]) ).

cnf(c_0_128,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_129,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk23_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_130,negated_conjecture,
    coll(esk21_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_61,c_0_125]) ).

cnf(c_0_131,negated_conjecture,
    ( coll(X1,esk23_0,esk27_0)
    | ~ coll(esk27_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_126]) ).

cnf(c_0_132,negated_conjecture,
    coll(esk27_0,esk27_0,X1),
    inference(spm,[status(thm)],[c_0_46,c_0_127]) ).

cnf(c_0_133,negated_conjecture,
    ( perp(esk23_0,esk22_0,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk23_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_43,c_0_130]) ).

cnf(c_0_135,negated_conjecture,
    coll(X1,esk23_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132])]) ).

fof(c_0_136,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_137,negated_conjecture,
    ( perp(esk23_0,esk22_0,esk22_0,esk21_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_133]) ).

cnf(c_0_138,negated_conjecture,
    coll(esk23_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_46,c_0_134]) ).

cnf(c_0_139,negated_conjecture,
    coll(esk23_0,X1,esk27_0),
    inference(spm,[status(thm)],[c_0_43,c_0_135]) ).

cnf(c_0_140,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_141,negated_conjecture,
    ( perp(esk22_0,esk21_0,esk23_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_137]) ).

cnf(c_0_142,negated_conjecture,
    ( coll(X1,esk21_0,esk23_0)
    | ~ coll(esk23_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_138]) ).

cnf(c_0_143,negated_conjecture,
    coll(esk23_0,esk27_0,X1),
    inference(spm,[status(thm)],[c_0_46,c_0_139]) ).

fof(c_0_144,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_145,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_47]) ).

cnf(c_0_146,negated_conjecture,
    ( para(X1,X2,esk23_0,esk22_0)
    | ~ perp(X1,X2,esk22_0,esk21_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_147,negated_conjecture,
    coll(X1,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]) ).

cnf(c_0_148,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_144]) ).

cnf(c_0_149,negated_conjecture,
    coll(esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_145,c_0_47]) ).

fof(c_0_150,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ cyclic(X6,X7,X8,X9)
      | ~ cyclic(X6,X7,X8,X10)
      | cyclic(X7,X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_151,negated_conjecture,
    ( para(X1,X2,esk23_0,esk22_0)
    | ~ perp(X1,X2,esk22_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_147])]) ).

cnf(c_0_152,negated_conjecture,
    perp(esk23_0,esk22_0,esk22_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_147])]) ).

fof(c_0_153,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

fof(c_0_154,plain,
    ! [X9,X10,X11] :
      ( ~ cong(X11,X9,X11,X10)
      | eqangle(X11,X9,X9,X10,X9,X10,X11,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_155,plain,
    ( midp(X1,X2,X1)
    | ~ cyclic(X2,X1,X3,X4)
    | ~ circle(X4,X3,X2,X1)
    | ~ coll(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_148,c_0_83]) ).

cnf(c_0_156,negated_conjecture,
    coll(esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_46,c_0_149]) ).

cnf(c_0_157,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_158,negated_conjecture,
    cyclic(esk22_0,esk22_0,esk23_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_151]),c_0_152])]) ).

fof(c_0_159,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_160,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_161,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_154]) ).

fof(c_0_162,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_163,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk23_0)
    | ~ cyclic(esk22_0,esk23_0,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_118]),c_0_156])]) ).

cnf(c_0_164,negated_conjecture,
    cyclic(esk22_0,esk23_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_158])]) ).

fof(c_0_165,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_166,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_159]) ).

cnf(c_0_167,plain,
    ( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
    | ~ cong(X3,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

fof(c_0_168,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_169,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_162]) ).

cnf(c_0_170,negated_conjecture,
    midp(esk23_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164])]) ).

cnf(c_0_171,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

fof(c_0_172,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ midp(X13,X10,X11)
      | eqangle(X9,X10,X9,X11,X12,X10,X12,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).

cnf(c_0_173,negated_conjecture,
    coll(X1,X2,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_132]),c_0_132])]) ).

cnf(c_0_174,plain,
    ( cong(X1,X1,X2,X1)
    | ~ cyclic(X1,X1,X2,X2)
    | ~ cyclic(X1,X1,X2,X1)
    | ~ cong(X2,X2,X2,X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_175,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_168]) ).

cnf(c_0_176,negated_conjecture,
    midp(esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_177,negated_conjecture,
    coll(esk26_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_46,c_0_87]) ).

cnf(c_0_178,negated_conjecture,
    para(esk27_0,esk26_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_171,c_0_67]) ).

cnf(c_0_179,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ midp(X5,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

fof(c_0_180,plain,
    ! [X4,X5,X6] :
      ( ~ cong(X4,X5,X4,X6)
      | ~ coll(X4,X5,X6)
      | midp(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_181,negated_conjecture,
    coll(X1,esk27_0,X2),
    inference(spm,[status(thm)],[c_0_46,c_0_173]) ).

fof(c_0_182,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_183,negated_conjecture,
    ( cong(esk22_0,esk22_0,esk23_0,esk22_0)
    | ~ cong(esk23_0,esk23_0,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_158]),c_0_158])]) ).

cnf(c_0_184,negated_conjecture,
    cong(esk23_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_185,negated_conjecture,
    coll(esk23_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_43,c_0_94]) ).

cnf(c_0_186,negated_conjecture,
    coll(esk23_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_43,c_0_177]) ).

cnf(c_0_187,negated_conjecture,
    ( para(X1,X2,esk21_0,esk25_0)
    | ~ para(X1,X2,esk27_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_67]) ).

cnf(c_0_188,negated_conjecture,
    para(esk25_0,esk21_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_59,c_0_178]) ).

cnf(c_0_189,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ circle(X4,X3,X1,X2)
    | ~ midp(X2,X1,X2)
    | ~ coll(X3,X4,X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_179]) ).

fof(c_0_190,plain,
    ! [X9,X10,X11,X12] :
      ( ~ midp(X11,X9,X10)
      | ~ perp(X12,X11,X9,X10)
      | cong(X12,X9,X12,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_191,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_180]) ).

cnf(c_0_192,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_181]),c_0_181])]) ).

cnf(c_0_193,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_182]) ).

cnf(c_0_194,negated_conjecture,
    cong(esk22_0,esk22_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]) ).

cnf(c_0_195,negated_conjecture,
    ( coll(X1,esk22_0,esk23_0)
    | ~ coll(esk23_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_185]) ).

cnf(c_0_196,negated_conjecture,
    coll(esk23_0,esk27_0,esk26_0),
    inference(spm,[status(thm)],[c_0_46,c_0_186]) ).

cnf(c_0_197,negated_conjecture,
    para(esk25_0,esk21_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

fof(c_0_198,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_199,negated_conjecture,
    ( cyclic(esk22_0,esk23_0,esk21_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0)
    | ~ coll(esk21_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_118]) ).

fof(c_0_200,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_201,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_190]) ).

cnf(c_0_202,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_192])]) ).

cnf(c_0_203,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_204,negated_conjecture,
    coll(esk26_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_205,negated_conjecture,
    para(esk25_0,esk21_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_171,c_0_197]) ).

cnf(c_0_206,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_198]) ).

cnf(c_0_207,negated_conjecture,
    ( cyclic(esk22_0,esk21_0,esk23_0,esk24_0)
    | ~ midp(esk23_0,esk22_0,esk23_0)
    | ~ coll(esk21_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_75,c_0_199]) ).

cnf(c_0_208,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_200]) ).

cnf(c_0_209,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk21_0,esk22_0)
    | ~ midp(esk22_0,esk23_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_201,c_0_129]) ).

cnf(c_0_210,negated_conjecture,
    midp(esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

fof(c_0_211,plain,
    ! [X17,X18,X19,X20,X21] :
      ( ~ circle(X20,X17,X18,X19)
      | ~ perp(X20,X17,X17,X21)
      | eqangle(X17,X21,X17,X18,X19,X17,X19,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD48])]) ).

cnf(c_0_212,negated_conjecture,
    coll(esk22_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_43,c_0_204]) ).

cnf(c_0_213,negated_conjecture,
    cyclic(esk21_0,esk21_0,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_98,c_0_205]) ).

cnf(c_0_214,plain,
    ( perp(X1,X2,X1,X3)
    | ~ cyclic(X2,X3,X1,X4)
    | ~ perp(X4,X2,X4,X3) ),
    inference(spm,[status(thm)],[c_0_206,c_0_83]) ).

cnf(c_0_215,negated_conjecture,
    ( cyclic(esk22_0,esk21_0,esk24_0,esk23_0)
    | ~ midp(esk23_0,esk22_0,esk23_0)
    | ~ coll(esk21_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_104,c_0_207]) ).

cnf(c_0_216,plain,
    ( eqangle(X1,X2,X3,X1,X3,X2,X1,X2)
    | ~ cong(X3,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_208,c_0_161]) ).

cnf(c_0_217,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk21_0,esk22_0)
    | ~ midp(esk22_0,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_147])]) ).

cnf(c_0_218,negated_conjecture,
    midp(esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_169,c_0_210]) ).

cnf(c_0_219,plain,
    ( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
    | ~ perp(X5,X1,X1,X2)
    | ~ circle(X5,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_211]) ).

cnf(c_0_220,negated_conjecture,
    coll(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_112,c_0_212]) ).

cnf(c_0_221,negated_conjecture,
    cyclic(esk21_0,esk25_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_213]),c_0_213])]) ).

cnf(c_0_222,negated_conjecture,
    ( cong(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ midp(esk22_0,esk22_0,esk23_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_201,c_0_124]) ).

cnf(c_0_223,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk24_0,esk21_0)
    | ~ midp(esk23_0,esk22_0,esk23_0)
    | ~ perp(esk23_0,esk22_0,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_224,negated_conjecture,
    coll(esk21_0,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_43,c_0_147]) ).

cnf(c_0_225,plain,
    ( perp(X1,X2,X3,X1)
    | ~ cong(X3,X1,X3,X2)
    | ~ perp(X3,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_206,c_0_216]) ).

cnf(c_0_226,negated_conjecture,
    cong(esk21_0,esk23_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218])]) ).

cnf(c_0_227,negated_conjecture,
    perp(esk21_0,esk22_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_147])]) ).

cnf(c_0_228,negated_conjecture,
    ( eqangle(esk21_0,X1,esk21_0,esk22_0,esk23_0,esk21_0,esk23_0,esk22_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_219,c_0_118]) ).

cnf(c_0_229,negated_conjecture,
    coll(esk21_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_43,c_0_220]) ).

cnf(c_0_230,plain,
    ( cong(X1,X2,X1,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_166,c_0_83]) ).

cnf(c_0_231,negated_conjecture,
    cyclic(esk21_0,X1,esk25_0,X2),
    inference(spm,[status(thm)],[c_0_75,c_0_221]) ).

cnf(c_0_232,negated_conjecture,
    ( cong(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ midp(esk22_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_147])]) ).

cnf(c_0_233,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk24_0,esk21_0)
    | ~ midp(esk23_0,esk22_0,esk23_0)
    | ~ perp(esk23_0,esk22_0,esk23_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224])]) ).

cnf(c_0_234,negated_conjecture,
    perp(esk23_0,esk22_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227])]) ).

cnf(c_0_235,negated_conjecture,
    ( cyclic(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_228]),c_0_229])]) ).

fof(c_0_236,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_237,negated_conjecture,
    cong(esk21_0,X1,esk21_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_231]),c_0_231])]) ).

cnf(c_0_238,plain,
    ( perp(X1,X2,X1,X3)
    | ~ circle(X4,X1,X2,X3)
    | ~ midp(X5,X2,X3)
    | ~ perp(X4,X2,X4,X5) ),
    inference(spm,[status(thm)],[c_0_206,c_0_179]) ).

cnf(c_0_239,negated_conjecture,
    cong(esk21_0,esk22_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_210])]) ).

cnf(c_0_240,negated_conjecture,
    ( perp(esk24_0,esk22_0,esk24_0,esk21_0)
    | ~ perp(esk23_0,esk22_0,esk23_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_170])]) ).

cnf(c_0_241,negated_conjecture,
    perp(esk23_0,esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_123,c_0_234]) ).

cnf(c_0_242,negated_conjecture,
    ( para(esk21_0,esk21_0,esk21_0,esk22_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ para(esk23_0,esk21_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_235]) ).

cnf(c_0_243,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_236]) ).

cnf(c_0_244,negated_conjecture,
    cong(esk21_0,X1,X1,esk21_0),
    inference(spm,[status(thm)],[c_0_193,c_0_237]) ).

cnf(c_0_245,negated_conjecture,
    ( perp(esk21_0,esk22_0,esk21_0,esk23_0)
    | ~ midp(X1,esk22_0,esk23_0)
    | ~ perp(esk24_0,esk22_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_238,c_0_118]) ).

cnf(c_0_246,negated_conjecture,
    midp(esk21_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_202,c_0_239]) ).

cnf(c_0_247,negated_conjecture,
    perp(esk24_0,esk22_0,esk24_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241])]) ).

cnf(c_0_248,negated_conjecture,
    ( para(esk21_0,esk21_0,esk22_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ para(esk23_0,esk21_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_171,c_0_242]) ).

cnf(c_0_249,negated_conjecture,
    perp(esk21_0,esk21_0,X1,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_237])]) ).

cnf(c_0_250,negated_conjecture,
    perp(esk21_0,esk22_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247])]) ).

cnf(c_0_251,negated_conjecture,
    ( para(esk22_0,esk21_0,esk21_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ para(esk23_0,esk21_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_248]) ).

cnf(c_0_252,negated_conjecture,
    perp(X1,esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_128,c_0_249]) ).

cnf(c_0_253,negated_conjecture,
    ( para(X1,X2,esk23_0,esk22_0)
    | ~ perp(X1,X2,esk21_0,esk22_0)
    | ~ coll(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_129]) ).

cnf(c_0_254,negated_conjecture,
    perp(esk21_0,esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_123,c_0_250]) ).

fof(c_0_255,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_256,negated_conjecture,
    ( para(esk22_0,esk21_0,esk21_0,esk21_0)
    | ~ para(esk23_0,esk21_0,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_252])]) ).

cnf(c_0_257,negated_conjecture,
    ( para(X1,X2,esk23_0,esk22_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_147])]) ).

cnf(c_0_258,negated_conjecture,
    perp(esk23_0,esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_128,c_0_254]) ).

cnf(c_0_259,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_255]) ).

cnf(c_0_260,negated_conjecture,
    para(esk22_0,esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258])]) ).

cnf(c_0_261,negated_conjecture,
    perp(esk21_0,esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_237]),c_0_237])]) ).

fof(c_0_262,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_263,negated_conjecture,
    para(esk21_0,esk25_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_171,c_0_58]) ).

cnf(c_0_264,negated_conjecture,
    perp(esk22_0,esk21_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261])]) ).

cnf(c_0_265,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_262]) ).

cnf(c_0_266,negated_conjecture,
    para(esk26_0,esk27_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_263]) ).

cnf(c_0_267,negated_conjecture,
    perp(X1,X2,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_128,c_0_264]) ).

cnf(c_0_268,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X9,X10,X7,X8)
    | ~ para(X9,X10,X5,X6) ),
    inference(spm,[status(thm)],[c_0_265,c_0_56]) ).

cnf(c_0_269,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_208,c_0_56]) ).

cnf(c_0_270,negated_conjecture,
    ( para(X1,X2,esk21_0,esk25_0)
    | ~ para(X1,X2,esk26_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_266]) ).

cnf(c_0_271,negated_conjecture,
    para(X1,X2,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_267])]) ).

cnf(c_0_272,negated_conjecture,
    ~ eqangle(esk27_0,esk26_0,esk26_0,esk22_0,esk26_0,esk23_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_273,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ para(X1,X2,X5,X6)
    | ~ para(X3,X4,X7,X8) ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_274,negated_conjecture,
    ( para(X1,X2,esk21_0,esk25_0)
    | ~ para(X3,X4,esk26_0,esk27_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_270]) ).

cnf(c_0_275,negated_conjecture,
    para(esk23_0,esk22_0,X1,X2),
    inference(spm,[status(thm)],[c_0_59,c_0_271]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ para(esk27_0,esk26_0,esk26_0,esk23_0)
    | ~ para(esk26_0,esk22_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_277,negated_conjecture,
    ( para(esk27_0,esk26_0,X1,X2)
    | ~ para(X1,X2,esk21_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_66]) ).

cnf(c_0_278,negated_conjecture,
    para(X1,X2,esk21_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_271])]) ).

cnf(c_0_279,negated_conjecture,
    ~ para(esk27_0,esk26_0,esk26_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_271])]) ).

cnf(c_0_280,negated_conjecture,
    para(esk27_0,esk26_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_278])]) ).

cnf(c_0_281,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_279,c_0_280])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% 0.13/0.14  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun 18 13:40:22 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.23/2.42  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.23/2.42  # Preprocessing time       : 0.025 s
% 0.23/2.42  
% 0.23/2.42  # Proof found!
% 0.23/2.42  # SZS status Theorem
% 0.23/2.42  # SZS output start CNFRefutation
% See solution above
% 0.23/2.42  # Proof object total steps             : 282
% 0.23/2.42  # Proof object clause steps            : 203
% 0.23/2.42  # Proof object formula steps           : 79
% 0.23/2.42  # Proof object conjectures             : 149
% 0.23/2.42  # Proof object clause conjectures      : 146
% 0.23/2.42  # Proof object formula conjectures     : 3
% 0.23/2.42  # Proof object initial clauses used    : 44
% 0.23/2.42  # Proof object initial formulas used   : 39
% 0.23/2.42  # Proof object generating inferences   : 138
% 0.23/2.42  # Proof object simplifying inferences  : 82
% 0.23/2.42  # Training examples: 0 positive, 0 negative
% 0.23/2.42  # Parsed axioms                        : 95
% 0.23/2.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/2.42  # Initial clauses                      : 120
% 0.23/2.42  # Removed in clause preprocessing      : 0
% 0.23/2.42  # Initial clauses in saturation        : 120
% 0.23/2.42  # Processed clauses                    : 8324
% 0.23/2.42  # ...of these trivial                  : 1376
% 0.23/2.42  # ...subsumed                          : 1736
% 0.23/2.42  # ...remaining for further processing  : 5212
% 0.23/2.42  # Other redundant clauses eliminated   : 0
% 0.23/2.42  # Clauses deleted for lack of memory   : 0
% 0.23/2.42  # Backward-subsumed                    : 266
% 0.23/2.42  # Backward-rewritten                   : 2894
% 0.23/2.42  # Generated clauses                    : 77952
% 0.23/2.42  # ...of the previous two non-trivial   : 65953
% 0.23/2.42  # Contextual simplify-reflections      : 181
% 0.23/2.42  # Paramodulations                      : 77952
% 0.23/2.42  # Factorizations                       : 0
% 0.23/2.42  # Equation resolutions                 : 0
% 0.23/2.42  # Current number of processed clauses  : 2052
% 0.23/2.42  #    Positive orientable unit clauses  : 1189
% 0.23/2.42  #    Positive unorientable unit clauses: 0
% 0.23/2.42  #    Negative unit clauses             : 12
% 0.23/2.42  #    Non-unit-clauses                  : 851
% 0.23/2.42  # Current number of unprocessed clauses: 28698
% 0.23/2.42  # ...number of literals in the above   : 93916
% 0.23/2.42  # Current number of archived formulas  : 0
% 0.23/2.42  # Current number of archived clauses   : 3160
% 0.23/2.42  # Clause-clause subsumption calls (NU) : 788858
% 0.23/2.42  # Rec. Clause-clause subsumption calls : 507929
% 0.23/2.42  # Non-unit clause-clause subsumptions  : 1937
% 0.23/2.42  # Unit Clause-clause subsumption calls : 510960
% 0.23/2.42  # Rewrite failures with RHS unbound    : 0
% 0.23/2.42  # BW rewrite match attempts            : 30203
% 0.23/2.42  # BW rewrite match successes           : 1767
% 0.23/2.42  # Condensation attempts                : 0
% 0.23/2.42  # Condensation successes               : 0
% 0.23/2.42  # Termbank termtop insertions          : 1022559
% 0.23/2.42  
% 0.23/2.42  # -------------------------------------------------
% 0.23/2.42  # User time                : 1.136 s
% 0.23/2.42  # System time              : 0.016 s
% 0.23/2.42  # Total time               : 1.152 s
% 0.23/2.42  # Maximum resident set size: 36728 pages
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.41  eprover: CPU time limit exceeded, terminating
% 0.23/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.42  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
% 0.23/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------