TSTP Solution File: GEO628+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO628+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 04:06:47 EDT 2022

% Result   : Theorem 0.27s 7.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  217 (  82 unt;   0 def)
%            Number of atoms       :  448 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  372 ( 141   ~; 156   |;  49   &)
%                                         (   0 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-4 aty)
%            Number of variables   :  424 (  14 sgn 240   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110991,conjecture,
    ! [X1,X2,X3,X8,X19,X6,X13,X9,X20,X21,X22,X23,X24] :
      ( ( circle(X8,X1,X2,X3)
        & circle(X8,X1,X19,X23)
        & perp(X6,X19,X1,X3)
        & coll(X6,X1,X3)
        & perp(X13,X19,X1,X2)
        & coll(X13,X1,X2)
        & circle(X8,X1,X9,X24)
        & perp(X20,X9,X1,X2)
        & coll(X20,X1,X2)
        & perp(X21,X9,X1,X3)
        & coll(X21,X1,X3)
        & perp(X6,X13,X9,X22)
        & perp(X20,X21,X19,X22) )
     => cyclic(X1,X19,X9,X22) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULL8110991) ).

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(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(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(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(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(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(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(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(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(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

fof(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(ruleD54,axiom,
    ! [X1,X2,X3,X4] :
      ( ( cyclic(X1,X2,X3,X4)
        & para(X1,X2,X3,X4) )
     => eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD54) ).

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(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(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(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(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(ruleD57,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10)
        & cyclic(X1,X2,X9,X10) )
     => perp(X9,X1,X1,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

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(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(c_0_25,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X19,X6,X13,X9,X20,X21,X22,X23,X24] :
        ( ( circle(X8,X1,X2,X3)
          & circle(X8,X1,X19,X23)
          & perp(X6,X19,X1,X3)
          & coll(X6,X1,X3)
          & perp(X13,X19,X1,X2)
          & coll(X13,X1,X2)
          & circle(X8,X1,X9,X24)
          & perp(X20,X9,X1,X2)
          & coll(X20,X1,X2)
          & perp(X21,X9,X1,X3)
          & coll(X21,X1,X3)
          & perp(X6,X13,X9,X22)
          & perp(X20,X21,X19,X22) )
       => cyclic(X1,X19,X9,X22) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110991]) ).

fof(c_0_26,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])])]) ).

fof(c_0_27,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_28,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_29,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & circle(esk24_0,esk21_0,esk25_0,esk32_0)
    & perp(esk26_0,esk25_0,esk21_0,esk23_0)
    & coll(esk26_0,esk21_0,esk23_0)
    & perp(esk27_0,esk25_0,esk21_0,esk22_0)
    & coll(esk27_0,esk21_0,esk22_0)
    & circle(esk24_0,esk21_0,esk28_0,esk33_0)
    & perp(esk29_0,esk28_0,esk21_0,esk22_0)
    & coll(esk29_0,esk21_0,esk22_0)
    & perp(esk30_0,esk28_0,esk21_0,esk23_0)
    & coll(esk30_0,esk21_0,esk23_0)
    & perp(esk26_0,esk27_0,esk28_0,esk31_0)
    & perp(esk29_0,esk30_0,esk25_0,esk31_0)
    & ~ cyclic(esk21_0,esk25_0,esk28_0,esk31_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).

fof(c_0_30,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

fof(c_0_31,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_32,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])]) ).

cnf(c_0_33,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_26]) ).

cnf(c_0_34,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_35,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_36,negated_conjecture,
    perp(esk29_0,esk30_0,esk25_0,esk31_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_37,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_38,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_40,plain,
    ( cyclic(X1,X2,X3,X3)
    | coll(X3,X3,X1)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,negated_conjecture,
    ( para(X1,X2,esk25_0,esk31_0)
    | ~ perp(X1,X2,esk29_0,esk30_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_42,negated_conjecture,
    perp(esk25_0,esk31_0,esk29_0,esk30_0),
    inference(spm,[status(thm)],[c_0_37,c_0_36]) ).

fof(c_0_43,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_44,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,negated_conjecture,
    ( cyclic(esk31_0,X1,esk25_0,esk25_0)
    | coll(esk25_0,esk25_0,esk31_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

fof(c_0_46,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_47,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( para(esk25_0,esk31_0,esk25_0,esk31_0)
    | coll(esk25_0,esk25_0,esk31_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    ( para(esk25_0,esk31_0,esk31_0,esk25_0)
    | coll(esk25_0,esk25_0,esk31_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_51,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_52,negated_conjecture,
    ( para(esk31_0,esk25_0,esk25_0,esk31_0)
    | coll(esk25_0,esk25_0,esk31_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_53,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_54,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_55,negated_conjecture,
    ( para(esk31_0,esk25_0,esk31_0,esk25_0)
    | coll(esk25_0,esk25_0,esk31_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_52]) ).

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

cnf(c_0_58,negated_conjecture,
    ( coll(esk25_0,esk25_0,esk31_0)
    | coll(esk31_0,esk25_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

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

cnf(c_0_60,negated_conjecture,
    perp(esk26_0,esk27_0,esk28_0,esk31_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_61,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_62,negated_conjecture,
    coll(esk25_0,esk31_0,esk25_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_63,negated_conjecture,
    ( para(X1,X2,esk28_0,esk31_0)
    | ~ perp(X1,X2,esk26_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_60]) ).

cnf(c_0_64,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_65,negated_conjecture,
    coll(esk25_0,esk25_0,esk31_0),
    inference(spm,[status(thm)],[c_0_59,c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    ( coll(esk28_0,X1,esk31_0)
    | ~ perp(esk28_0,X1,esk26_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    perp(esk28_0,esk31_0,esk26_0,esk27_0),
    inference(spm,[status(thm)],[c_0_37,c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    ( coll(X1,esk31_0,esk25_0)
    | ~ coll(esk25_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,negated_conjecture,
    coll(esk28_0,esk31_0,esk31_0),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    perp(esk30_0,esk28_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk31_0,esk31_0,esk25_0),
    inference(spm,[status(thm)],[c_0_68,c_0_65]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk31_0,esk28_0,esk31_0),
    inference(spm,[status(thm)],[c_0_57,c_0_69]) ).

cnf(c_0_73,negated_conjecture,
    perp(esk21_0,esk23_0,esk30_0,esk28_0),
    inference(spm,[status(thm)],[c_0_37,c_0_70]) ).

fof(c_0_74,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_75,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk12_4(X10,X11,X12,X13),X10,X10,X13) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

cnf(c_0_76,negated_conjecture,
    ( coll(X1,esk25_0,esk31_0)
    | ~ coll(esk31_0,esk31_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk31_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_59,c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    ( para(X1,X2,esk30_0,esk28_0)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_73]) ).

fof(c_0_79,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])]) ).

fof(c_0_80,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | ~ para(X5,X6,X7,X8)
      | eqangle(X5,X8,X7,X8,X7,X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

cnf(c_0_81,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_74]) ).

cnf(c_0_82,plain,
    ( perp(esk12_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_83,negated_conjecture,
    coll(esk28_0,esk25_0,esk31_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    ( coll(X1,esk28_0,esk31_0)
    | ~ coll(esk31_0,esk31_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_77]) ).

cnf(c_0_85,negated_conjecture,
    coll(esk30_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_86,negated_conjecture,
    ( coll(esk30_0,X1,esk28_0)
    | ~ perp(esk30_0,X1,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_54,c_0_78]) ).

cnf(c_0_87,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_79]) ).

cnf(c_0_88,negated_conjecture,
    circle(esk24_0,esk21_0,esk25_0,esk32_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

fof(c_0_89,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_90,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ cyclic(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_91,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_34]) ).

cnf(c_0_92,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_82]) ).

cnf(c_0_93,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_37,c_0_82]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk28_0,esk31_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_83]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk28_0,esk28_0,esk31_0),
    inference(spm,[status(thm)],[c_0_84,c_0_77]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk21_0,esk30_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_85]) ).

cnf(c_0_97,negated_conjecture,
    coll(esk30_0,esk28_0,esk28_0),
    inference(spm,[status(thm)],[c_0_86,c_0_70]) ).

fof(c_0_98,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_99,negated_conjecture,
    ( eqangle(esk21_0,X1,esk21_0,esk25_0,esk32_0,esk21_0,esk32_0,esk25_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

cnf(c_0_100,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_101,plain,
    ( cyclic(X1,X1,X2,X2)
    | ~ para(X2,X1,X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_90]),c_0_40]),c_0_91]) ).

cnf(c_0_102,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_103,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_104,negated_conjecture,
    ( coll(X1,esk25_0,esk28_0)
    | ~ coll(esk28_0,esk31_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_94]) ).

cnf(c_0_105,negated_conjecture,
    coll(esk28_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_59,c_0_95]) ).

cnf(c_0_106,negated_conjecture,
    coll(esk21_0,esk23_0,esk30_0),
    inference(spm,[status(thm)],[c_0_59,c_0_96]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk28_0,esk30_0,esk28_0),
    inference(spm,[status(thm)],[c_0_57,c_0_97]) ).

fof(c_0_108,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_109,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_110,negated_conjecture,
    ( cyclic(esk21_0,esk25_0,esk21_0,esk32_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_33,c_0_99]) ).

cnf(c_0_111,plain,
    ( cyclic(X1,X2,X3,X2)
    | ~ cyclic(X1,X1,X2,X3)
    | ~ para(X2,X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_112,negated_conjecture,
    para(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_113,negated_conjecture,
    coll(esk28_0,esk25_0,esk28_0),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_114,negated_conjecture,
    ( coll(X1,esk30_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_106]) ).

cnf(c_0_115,negated_conjecture,
    coll(esk28_0,esk28_0,esk30_0),
    inference(spm,[status(thm)],[c_0_59,c_0_107]) ).

fof(c_0_116,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_117,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_118,negated_conjecture,
    ( cyclic(esk21_0,esk25_0,esk32_0,esk21_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_119,negated_conjecture,
    ( cyclic(esk24_0,esk21_0,X1,esk21_0)
    | ~ cyclic(esk24_0,esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

fof(c_0_120,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_121,negated_conjecture,
    coll(esk28_0,esk28_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_113]) ).

cnf(c_0_122,negated_conjecture,
    coll(esk30_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_114,c_0_106]) ).

cnf(c_0_123,negated_conjecture,
    ( coll(X1,esk30_0,esk28_0)
    | ~ coll(esk28_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_115]) ).

cnf(c_0_124,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_125,negated_conjecture,
    ( cyclic(esk21_0,esk32_0,esk25_0,esk21_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_126,negated_conjecture,
    cyclic(esk24_0,esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_101]),c_0_112])]) ).

cnf(c_0_127,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_120]) ).

cnf(c_0_128,negated_conjecture,
    para(esk21_0,esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_47,c_0_112]) ).

cnf(c_0_129,negated_conjecture,
    ( coll(X1,esk25_0,esk28_0)
    | ~ coll(esk28_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_121]) ).

cnf(c_0_130,negated_conjecture,
    ( coll(X1,esk21_0,esk30_0)
    | ~ coll(esk30_0,esk30_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_122]) ).

cnf(c_0_131,negated_conjecture,
    coll(esk30_0,esk30_0,esk28_0),
    inference(spm,[status(thm)],[c_0_123,c_0_115]) ).

cnf(c_0_132,negated_conjecture,
    ( cyclic(esk32_0,esk21_0,esk25_0,esk21_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_133,negated_conjecture,
    cyclic(esk21_0,esk24_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_124,c_0_126]) ).

cnf(c_0_134,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_127,c_0_39]) ).

cnf(c_0_135,negated_conjecture,
    para(esk24_0,esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_49,c_0_128]) ).

cnf(c_0_136,negated_conjecture,
    coll(esk30_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_59,c_0_85]) ).

cnf(c_0_137,negated_conjecture,
    coll(esk30_0,esk25_0,esk28_0),
    inference(spm,[status(thm)],[c_0_129,c_0_115]) ).

cnf(c_0_138,negated_conjecture,
    coll(esk28_0,esk21_0,esk30_0),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_139,negated_conjecture,
    ( cyclic(esk32_0,esk25_0,esk21_0,esk21_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_132]) ).

fof(c_0_140,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | ~ cyclic(X11,X12,X13,X14)
      | perp(X13,X11,X11,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).

cnf(c_0_141,negated_conjecture,
    cyclic(esk21_0,esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_117,c_0_133]) ).

cnf(c_0_142,negated_conjecture,
    ( cong(esk21_0,esk24_0,esk21_0,esk24_0)
    | ~ cyclic(esk21_0,esk24_0,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_133]),c_0_133])]) ).

cnf(c_0_143,plain,
    ( cyclic(X1,X2,X1,X2)
    | ~ para(X2,X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_101]) ).

cnf(c_0_144,negated_conjecture,
    para(esk24_0,esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_47,c_0_135]) ).

cnf(c_0_145,negated_conjecture,
    ( coll(X1,esk21_0,esk30_0)
    | ~ coll(esk30_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_136]) ).

cnf(c_0_146,negated_conjecture,
    coll(esk30_0,esk28_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_137]) ).

cnf(c_0_147,negated_conjecture,
    coll(esk28_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_59,c_0_138]) ).

cnf(c_0_148,negated_conjecture,
    ( para(esk21_0,esk32_0,esk21_0,esk32_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_139]) ).

fof(c_0_149,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_150,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cyclic(X2,X4,X1,X3)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_151,negated_conjecture,
    cyclic(esk21_0,esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_109,c_0_141]) ).

cnf(c_0_152,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_141]),c_0_141])]) ).

cnf(c_0_153,negated_conjecture,
    cong(esk21_0,esk24_0,esk21_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144])]) ).

cnf(c_0_154,negated_conjecture,
    coll(esk21_0,esk21_0,esk30_0),
    inference(spm,[status(thm)],[c_0_145,c_0_136]) ).

cnf(c_0_155,negated_conjecture,
    ( coll(X1,esk25_0,esk30_0)
    | ~ coll(esk30_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_146]) ).

cnf(c_0_156,negated_conjecture,
    coll(esk30_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_147]) ).

cnf(c_0_157,negated_conjecture,
    ( para(esk21_0,esk32_0,esk32_0,esk21_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_148]) ).

cnf(c_0_158,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_159,negated_conjecture,
    perp(esk21_0,esk21_0,esk21_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152])]),c_0_153])]) ).

cnf(c_0_160,negated_conjecture,
    ( cyclic(esk21_0,esk25_0,esk21_0,esk32_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_99]) ).

cnf(c_0_161,negated_conjecture,
    coll(esk21_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_59,c_0_154]) ).

cnf(c_0_162,negated_conjecture,
    coll(esk21_0,esk25_0,esk30_0),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_163,negated_conjecture,
    ( para(esk32_0,esk21_0,esk21_0,esk32_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_157]) ).

cnf(c_0_164,negated_conjecture,
    perp(esk21_0,esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_165,negated_conjecture,
    ( coll(X1,esk28_0,esk28_0)
    | ~ coll(esk28_0,esk30_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_107]) ).

cnf(c_0_166,negated_conjecture,
    ( cyclic(esk21_0,esk25_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_160]) ).

cnf(c_0_167,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk30_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_161]) ).

cnf(c_0_168,negated_conjecture,
    coll(esk21_0,esk30_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_162]) ).

cnf(c_0_169,negated_conjecture,
    ( para(esk32_0,esk21_0,esk32_0,esk21_0)
    | coll(esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_163]) ).

cnf(c_0_170,negated_conjecture,
    perp(esk24_0,esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_37,c_0_164]) ).

cnf(c_0_171,negated_conjecture,
    coll(esk21_0,esk28_0,esk28_0),
    inference(spm,[status(thm)],[c_0_165,c_0_147]) ).

cnf(c_0_172,negated_conjecture,
    ( cyclic(esk25_0,esk21_0,esk32_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_166]) ).

cnf(c_0_173,negated_conjecture,
    coll(esk25_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_174,negated_conjecture,
    ( para(esk32_0,esk21_0,esk32_0,esk21_0)
    | coll(esk21_0,esk32_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]) ).

cnf(c_0_175,negated_conjecture,
    coll(esk25_0,esk28_0,esk31_0),
    inference(spm,[status(thm)],[c_0_57,c_0_83]) ).

cnf(c_0_176,negated_conjecture,
    coll(esk28_0,esk21_0,esk28_0),
    inference(spm,[status(thm)],[c_0_57,c_0_171]) ).

cnf(c_0_177,negated_conjecture,
    ( cyclic(esk25_0,esk32_0,esk21_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_172]) ).

cnf(c_0_178,negated_conjecture,
    coll(esk21_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_173]) ).

cnf(c_0_179,negated_conjecture,
    coll(esk32_0,esk21_0,esk21_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_174]),c_0_57]) ).

cnf(c_0_180,negated_conjecture,
    ( coll(X1,esk25_0,esk25_0)
    | ~ coll(esk25_0,esk31_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_62]) ).

cnf(c_0_181,negated_conjecture,
    coll(esk25_0,esk31_0,esk28_0),
    inference(spm,[status(thm)],[c_0_59,c_0_175]) ).

cnf(c_0_182,negated_conjecture,
    coll(esk28_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_59,c_0_176]) ).

cnf(c_0_183,negated_conjecture,
    ( para(esk21_0,esk25_0,esk21_0,esk25_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_44,c_0_177]) ).

cnf(c_0_184,negated_conjecture,
    coll(esk21_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_178]) ).

cnf(c_0_185,negated_conjecture,
    coll(esk21_0,esk32_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_179]) ).

cnf(c_0_186,negated_conjecture,
    coll(esk28_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_187,negated_conjecture,
    coll(esk21_0,esk25_0,esk28_0),
    inference(spm,[status(thm)],[c_0_129,c_0_182]) ).

cnf(c_0_188,negated_conjecture,
    ( para(esk21_0,esk25_0,esk25_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_183]) ).

cnf(c_0_189,negated_conjecture,
    ( coll(X1,esk25_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_184]) ).

cnf(c_0_190,negated_conjecture,
    coll(esk21_0,esk21_0,esk32_0),
    inference(spm,[status(thm)],[c_0_59,c_0_185]) ).

cnf(c_0_191,negated_conjecture,
    coll(esk25_0,esk28_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_186]) ).

cnf(c_0_192,negated_conjecture,
    coll(esk25_0,esk21_0,esk28_0),
    inference(spm,[status(thm)],[c_0_57,c_0_187]) ).

fof(c_0_193,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_194,negated_conjecture,
    ( para(esk25_0,esk21_0,esk21_0,esk25_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_188]) ).

cnf(c_0_195,negated_conjecture,
    coll(esk32_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_196,negated_conjecture,
    ( coll(X1,esk25_0,esk25_0)
    | ~ coll(esk25_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_191]) ).

cnf(c_0_197,negated_conjecture,
    coll(esk25_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_59,c_0_192]) ).

cnf(c_0_198,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_193]) ).

cnf(c_0_199,negated_conjecture,
    ( para(esk25_0,esk21_0,esk25_0,esk21_0)
    | ~ perp(esk24_0,esk21_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_194]) ).

cnf(c_0_200,negated_conjecture,
    coll(esk32_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_59,c_0_195]) ).

cnf(c_0_201,negated_conjecture,
    coll(esk21_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_202,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_198,c_0_34]) ).

cnf(c_0_203,negated_conjecture,
    ( para(esk25_0,esk21_0,esk25_0,esk21_0)
    | ~ coll(esk21_0,esk32_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_170])]) ).

cnf(c_0_204,negated_conjecture,
    coll(esk21_0,esk32_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_200]) ).

cnf(c_0_205,negated_conjecture,
    coll(esk25_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_201]) ).

cnf(c_0_206,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X2,X3,X2)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_81,c_0_202]) ).

cnf(c_0_207,negated_conjecture,
    para(esk25_0,esk21_0,esk25_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_204])]) ).

cnf(c_0_208,negated_conjecture,
    coll(esk25_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_59,c_0_205]) ).

cnf(c_0_209,negated_conjecture,
    cyclic(X1,esk21_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_207]),c_0_208])]) ).

cnf(c_0_210,negated_conjecture,
    cyclic(X1,esk25_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_117,c_0_209]) ).

cnf(c_0_211,negated_conjecture,
    cyclic(esk25_0,X1,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_124,c_0_210]) ).

cnf(c_0_212,negated_conjecture,
    cyclic(esk25_0,esk21_0,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_117,c_0_211]) ).

cnf(c_0_213,negated_conjecture,
    cyclic(esk25_0,esk21_0,esk25_0,X1),
    inference(spm,[status(thm)],[c_0_109,c_0_212]) ).

cnf(c_0_214,negated_conjecture,
    ~ cyclic(esk21_0,esk25_0,esk28_0,esk31_0),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_215,negated_conjecture,
    cyclic(esk21_0,esk25_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_213]),c_0_213])]) ).

cnf(c_0_216,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_215])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO628+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 23:20:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.27/7.45  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.27/7.45  # Preprocessing time       : 0.023 s
% 0.27/7.45  
% 0.27/7.45  # Proof found!
% 0.27/7.45  # SZS status Theorem
% 0.27/7.45  # SZS output start CNFRefutation
% See solution above
% 0.27/7.45  # Proof object total steps             : 217
% 0.27/7.45  # Proof object clause steps            : 166
% 0.27/7.45  # Proof object formula steps           : 51
% 0.27/7.45  # Proof object conjectures             : 133
% 0.27/7.45  # Proof object clause conjectures      : 130
% 0.27/7.45  # Proof object formula conjectures     : 3
% 0.27/7.45  # Proof object initial clauses used    : 31
% 0.27/7.45  # Proof object initial formulas used   : 25
% 0.27/7.45  # Proof object generating inferences   : 131
% 0.27/7.45  # Proof object simplifying inferences  : 30
% 0.27/7.45  # Training examples: 0 positive, 0 negative
% 0.27/7.45  # Parsed axioms                        : 95
% 0.27/7.45  # Removed by relevancy pruning/SinE    : 0
% 0.27/7.45  # Initial clauses                      : 127
% 0.27/7.45  # Removed in clause preprocessing      : 0
% 0.27/7.45  # Initial clauses in saturation        : 127
% 0.27/7.45  # Processed clauses                    : 22633
% 0.27/7.45  # ...of these trivial                  : 2748
% 0.27/7.45  # ...subsumed                          : 3904
% 0.27/7.45  # ...remaining for further processing  : 15981
% 0.27/7.45  # Other redundant clauses eliminated   : 0
% 0.27/7.45  # Clauses deleted for lack of memory   : 71452
% 0.27/7.45  # Backward-subsumed                    : 701
% 0.27/7.45  # Backward-rewritten                   : 2591
% 0.27/7.45  # Generated clauses                    : 313176
% 0.27/7.45  # ...of the previous two non-trivial   : 262546
% 0.27/7.45  # Contextual simplify-reflections      : 318
% 0.27/7.45  # Paramodulations                      : 313176
% 0.27/7.45  # Factorizations                       : 0
% 0.27/7.45  # Equation resolutions                 : 0
% 0.27/7.45  # Current number of processed clauses  : 12689
% 0.27/7.45  #    Positive orientable unit clauses  : 5879
% 0.27/7.45  #    Positive unorientable unit clauses: 0
% 0.27/7.45  #    Negative unit clauses             : 0
% 0.27/7.45  #    Non-unit-clauses                  : 6810
% 0.27/7.45  # Current number of unprocessed clauses: 134011
% 0.27/7.45  # ...number of literals in the above   : 459364
% 0.27/7.45  # Current number of archived formulas  : 0
% 0.27/7.45  # Current number of archived clauses   : 3292
% 0.27/7.45  # Clause-clause subsumption calls (NU) : 4345993
% 0.27/7.45  # Rec. Clause-clause subsumption calls : 2410718
% 0.27/7.45  # Non-unit clause-clause subsumptions  : 4361
% 0.27/7.45  # Unit Clause-clause subsumption calls : 4190355
% 0.27/7.45  # Rewrite failures with RHS unbound    : 0
% 0.27/7.45  # BW rewrite match attempts            : 67809
% 0.27/7.45  # BW rewrite match successes           : 1233
% 0.27/7.45  # Condensation attempts                : 0
% 0.27/7.45  # Condensation successes               : 0
% 0.27/7.45  # Termbank termtop insertions          : 4408190
% 0.27/7.45  
% 0.27/7.45  # -------------------------------------------------
% 0.27/7.45  # User time                : 5.956 s
% 0.27/7.45  # System time              : 0.099 s
% 0.27/7.45  # Total time               : 6.055 s
% 0.27/7.45  # Maximum resident set size: 140324 pages
% 0.27/23.42  eprover: CPU time limit exceeded, terminating
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.44  eprover: No such file or directory
% 0.27/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.45  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.46  eprover: No such file or directory
% 0.27/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.47  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.48  eprover: No such file or directory
% 0.27/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.49  eprover: No such file or directory
% 0.27/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.50  eprover: No such file or directory
% 0.27/23.50  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.27/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------