TSTP Solution File: GEO617+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO617+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n016.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  : 300s
% DateTime : Wed Aug 30 22:48:53 EDT 2023

% Result   : Theorem 0.54s 0.84s
% Output   : CNFRefutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   71
% Syntax   : Number of formulae    :  206 (  48 unt;  37 typ;   0 def)
%            Number of atoms       :  355 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  312 ( 126   ~; 123   |;  28   &)
%                                         (   0 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  138 (  31   >; 107   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-8 aty)
%            Number of functors    :   26 (  26 usr;   6 con; 0-6 aty)
%            Number of variables   :  653 (  53 sgn; 346   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    coll: ( $i * $i * $i ) > $o ).

tff(decl_23,type,
    para: ( $i * $i * $i * $i ) > $o ).

tff(decl_24,type,
    perp: ( $i * $i * $i * $i ) > $o ).

tff(decl_25,type,
    midp: ( $i * $i * $i ) > $o ).

tff(decl_26,type,
    cong: ( $i * $i * $i * $i ) > $o ).

tff(decl_27,type,
    circle: ( $i * $i * $i * $i ) > $o ).

tff(decl_28,type,
    cyclic: ( $i * $i * $i * $i ) > $o ).

tff(decl_29,type,
    eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_30,type,
    eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_31,type,
    simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_32,type,
    contri: ( $i * $i * $i * $i * $i * $i ) > $o ).

tff(decl_33,type,
    esk1_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_34,type,
    esk2_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_35,type,
    esk3_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_36,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_37,type,
    esk5_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_39,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_40,type,
    esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_41,type,
    esk9_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_43,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_45,type,
    esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_46,type,
    esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_48,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    esk17_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_50,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_51,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk21_0: $i ).

tff(decl_54,type,
    esk22_0: $i ).

tff(decl_55,type,
    esk23_0: $i ).

tff(decl_56,type,
    esk24_0: $i ).

tff(decl_57,type,
    esk25_0: $i ).

tff(decl_58,type,
    esk26_0: $i ).

fof(exemplo6GDDFULL618079,conjecture,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( circle(X4,X1,X2,X3)
        & eqangle(X5,X3,X3,X2,X5,X3,X3,X1)
        & coll(X5,X1,X2)
        & perp(X6,X3,X1,X2)
        & coll(X6,X1,X2) )
     => eqangle(X6,X3,X3,X5,X5,X3,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618079) ).

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(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(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(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(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(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

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

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD75,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
        & cong(X9,X10,X11,X12) )
     => cong(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(ruleD70,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
      ( ( midp(X7,X1,X2)
        & midp(X17,X3,X4) )
     => eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(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(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & para(X5,X6,X2,X3)
        & coll(X6,X1,X3) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(c_0_34,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6] :
        ( ( circle(X4,X1,X2,X3)
          & eqangle(X5,X3,X3,X2,X5,X3,X3,X1)
          & coll(X5,X1,X2)
          & perp(X6,X3,X1,X2)
          & coll(X6,X1,X2) )
       => eqangle(X6,X3,X3,X5,X5,X3,X3,X4) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL618079]) ).

fof(c_0_35,plain,
    ! [X43,X44,X45,X46] :
      ( ~ perp(X43,X44,X45,X46)
      | perp(X43,X44,X46,X45) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

fof(c_0_36,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & eqangle(esk25_0,esk23_0,esk23_0,esk22_0,esk25_0,esk23_0,esk23_0,esk21_0)
    & coll(esk25_0,esk21_0,esk22_0)
    & perp(esk26_0,esk23_0,esk21_0,esk22_0)
    & coll(esk26_0,esk21_0,esk22_0)
    & ~ eqangle(esk26_0,esk23_0,esk23_0,esk25_0,esk25_0,esk23_0,esk23_0,esk24_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])]) ).

fof(c_0_37,plain,
    ! [X47,X48,X49,X50] :
      ( ~ perp(X47,X48,X49,X50)
      | perp(X49,X50,X47,X48) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

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

cnf(c_0_39,negated_conjecture,
    perp(esk26_0,esk23_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_40,plain,
    ! [X100,X101,X102,X103,X104,X105,X106,X107] :
      ( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
      | eqangle(X102,X103,X100,X101,X106,X107,X104,X105) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_41,plain,
    ! [X254,X255,X256,X257,X258,X259] :
      ( ~ para(X254,X255,X256,X257)
      | eqangle(X254,X255,X258,X259,X256,X257,X258,X259) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_42,plain,
    ! [X51,X52,X53,X54,X55,X56] :
      ( ~ perp(X51,X52,X53,X54)
      | ~ perp(X53,X54,X55,X56)
      | para(X51,X52,X55,X56) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

cnf(c_0_43,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    perp(esk26_0,esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_45,plain,
    ! [X248,X249,X250,X251,X252,X253] :
      ( ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253)
      | para(X248,X249,X250,X251) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_46,plain,
    ( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_47,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_48,plain,
    ! [X33,X34,X35,X36] :
      ( ~ para(X33,X34,X35,X36)
      | para(X35,X36,X33,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_49,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    perp(esk22_0,esk21_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_51,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_52,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_53,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    ( para(X1,X2,esk26_0,esk23_0)
    | ~ perp(X1,X2,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

fof(c_0_55,plain,
    ! [X383,X384,X385] :
      ( ~ para(X383,X384,X383,X385)
      | coll(X383,X384,X385) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_56,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,negated_conjecture,
    ( para(esk26_0,esk23_0,X1,X2)
    | ~ perp(X1,X2,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    eqangle(esk25_0,esk23_0,esk23_0,esk22_0,esk25_0,esk23_0,esk23_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_59,plain,
    ! [X22,X23,X24] :
      ( ~ coll(X22,X23,X24)
      | coll(X23,X22,X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_60,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_61,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_44])]) ).

cnf(c_0_62,negated_conjecture,
    eqangle(esk23_0,esk22_0,esk25_0,esk23_0,esk23_0,esk21_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_46,c_0_58]) ).

fof(c_0_63,plain,
    ! [X19,X20,X21] :
      ( ~ coll(X19,X20,X21)
      | coll(X19,X21,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_64,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    para(esk23_0,esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_51,c_0_62]) ).

fof(c_0_67,plain,
    ! [X268,X269,X270,X271] :
      ( ~ eqangle(X270,X268,X270,X269,X271,X268,X271,X269)
      | ~ coll(X270,X271,X269)
      | cyclic(X268,X269,X270,X271) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_68,plain,
    ! [X25,X26,X27,X28] :
      ( ~ coll(X25,X26,X27)
      | ~ coll(X25,X26,X28)
      | coll(X27,X28,X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_69,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_60,c_0_66]) ).

cnf(c_0_72,plain,
    ( cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ coll(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_73,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_74,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    coll(esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_64,c_0_71]) ).

fof(c_0_76,plain,
    ! [X79,X80,X81,X82] :
      ( ~ cyclic(X79,X80,X81,X82)
      | cyclic(X79,X81,X80,X82) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_77,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_47]) ).

cnf(c_0_78,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_74])]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_69,c_0_75]) ).

fof(c_0_80,plain,
    ! [X75,X76,X77,X78] :
      ( ~ cyclic(X75,X76,X77,X78)
      | cyclic(X75,X76,X78,X77) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_81,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_82,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_61])]),c_0_78])]) ).

fof(c_0_83,plain,
    ! [X309,X310,X311,X312,X313] :
      ( ~ circle(X312,X309,X310,X311)
      | ~ coll(X313,X310,X311)
      | ~ eqangle(X309,X310,X309,X311,X312,X310,X312,X313)
      | midp(X313,X310,X311) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).

fof(c_0_84,plain,
    ! [X260,X261,X262,X263] :
      ( ~ cyclic(X260,X261,X262,X263)
      | eqangle(X262,X260,X262,X261,X263,X260,X263,X261) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

cnf(c_0_85,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_79]) ).

fof(c_0_86,plain,
    ! [X83,X84,X85,X86] :
      ( ~ cyclic(X83,X84,X85,X86)
      | cyclic(X84,X83,X85,X86) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

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

cnf(c_0_88,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_89,plain,
    ( midp(X5,X3,X4)
    | ~ circle(X1,X2,X3,X4)
    | ~ coll(X5,X3,X4)
    | ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_90,plain,
    ( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_91,negated_conjecture,
    coll(esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_85,c_0_79]) ).

fof(c_0_92,plain,
    ! [X87,X88,X89,X90,X91] :
      ( ~ cyclic(X87,X88,X89,X90)
      | ~ cyclic(X87,X88,X89,X91)
      | cyclic(X88,X89,X90,X91) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_93,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_94,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_87,c_0_88]) ).

fof(c_0_95,plain,
    ! [X108,X109,X110,X111,X112,X113,X114,X115] :
      ( ~ eqangle(X108,X109,X110,X111,X112,X113,X114,X115)
      | eqangle(X112,X113,X114,X115,X108,X109,X110,X111) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

fof(c_0_96,plain,
    ! [X288,X289,X290] :
      ( ~ cong(X290,X288,X290,X289)
      | eqangle(X290,X288,X288,X289,X288,X289,X290,X289) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

cnf(c_0_97,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_89,c_0_90]) ).

cnf(c_0_98,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_69,c_0_91]) ).

cnf(c_0_100,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_101,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

fof(c_0_102,plain,
    ! [X409,X410,X411,X412,X413,X414,X415,X416] :
      ( ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416)
      | ~ para(X413,X414,X415,X416)
      | para(X409,X410,X411,X412) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).

cnf(c_0_103,plain,
    ( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_104,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

fof(c_0_105,plain,
    ! [X389,X390,X391] :
      ( ~ midp(X389,X390,X391)
      | cong(X389,X390,X389,X391) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_106,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_97,c_0_98]),c_0_99])]) ).

cnf(c_0_107,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_101])]) ).

fof(c_0_108,plain,
    ! [X29,X30,X31,X32] :
      ( ~ para(X29,X30,X31,X32)
      | para(X29,X30,X32,X31) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_109,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ para(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_110,plain,
    ( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
    | ~ cong(X3,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_111,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_112,negated_conjecture,
    midp(esk23_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).

cnf(c_0_113,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

fof(c_0_114,plain,
    ! [X63,X64,X65] :
      ( ~ midp(X65,X64,X63)
      | midp(X65,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_115,plain,
    ! [X373,X374,X375,X376,X377] :
      ( ~ midp(X377,X373,X374)
      | ~ para(X373,X375,X374,X376)
      | ~ para(X373,X376,X374,X375)
      | midp(X377,X375,X376) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_116,plain,
    ( para(X1,X2,X3,X2)
    | ~ cong(X3,X1,X3,X2)
    | ~ para(X3,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_117,negated_conjecture,
    cong(esk23_0,esk22_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_118,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_113,c_0_61]) ).

fof(c_0_119,plain,
    ! [X425,X426,X427,X428,X429,X430,X431,X432] :
      ( ~ eqratio(X425,X426,X427,X428,X429,X430,X431,X432)
      | ~ cong(X429,X430,X431,X432)
      | cong(X425,X426,X427,X428) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).

fof(c_0_120,plain,
    ! [X395,X396,X397,X398,X399,X400] :
      ( ~ midp(X399,X395,X396)
      | ~ midp(X400,X397,X398)
      | eqratio(X399,X395,X395,X396,X400,X397,X397,X398) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).

cnf(c_0_121,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_122,plain,
    ( midp(X1,X4,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X2,X4,X3,X5)
    | ~ para(X2,X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_123,negated_conjecture,
    para(esk22_0,esk23_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_118])]) ).

cnf(c_0_124,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ cong(X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_125,plain,
    ( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_126,negated_conjecture,
    midp(esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_121,c_0_112]) ).

cnf(c_0_127,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_123])]) ).

cnf(c_0_128,plain,
    ( cong(X1,X2,X2,X3)
    | ~ cong(X4,X5,X5,X6)
    | ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,negated_conjecture,
    cong(esk23_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_111,c_0_126]) ).

cnf(c_0_130,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_61]),c_0_61])]) ).

cnf(c_0_131,negated_conjecture,
    midp(esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_127,c_0_112]) ).

fof(c_0_132,plain,
    ! [X140,X141,X142,X143] :
      ( ~ cong(X140,X141,X142,X143)
      | cong(X142,X143,X140,X141) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_133,negated_conjecture,
    ( cong(X1,X2,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_126])]) ).

cnf(c_0_134,negated_conjecture,
    midp(esk23_0,X1,X1),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

fof(c_0_135,plain,
    ! [X136,X137,X138,X139] :
      ( ~ cong(X136,X137,X138,X139)
      | cong(X136,X137,X139,X138) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_136,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_137,negated_conjecture,
    cong(esk23_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

fof(c_0_138,plain,
    ! [X283,X284,X285,X286,X287] :
      ( ~ midp(X286,X283,X284)
      | ~ para(X286,X287,X284,X285)
      | ~ coll(X287,X283,X285)
      | midp(X287,X283,X285) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_139,plain,
    ( cong(X1,X2,X4,X3)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_140,negated_conjecture,
    cong(X1,X1,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_141,plain,
    ( midp(X4,X2,X5)
    | ~ midp(X1,X2,X3)
    | ~ para(X1,X4,X3,X5)
    | ~ coll(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_142,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_109,c_0_104]) ).

cnf(c_0_143,negated_conjecture,
    cong(X1,X1,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_144,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_78])]) ).

cnf(c_0_145,negated_conjecture,
    para(X1,X1,X1,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_61])]) ).

cnf(c_0_146,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_144,c_0_61]) ).

cnf(c_0_147,negated_conjecture,
    ( midp(X1,X2,esk23_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_148,negated_conjecture,
    midp(X1,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_146,c_0_134]) ).

cnf(c_0_149,negated_conjecture,
    midp(X1,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_150,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_130,c_0_149]) ).

cnf(c_0_151,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_146,c_0_150]) ).

fof(c_0_152,plain,
    ! [X278,X279,X280,X281,X282] :
      ( ~ midp(X281,X278,X279)
      | ~ midp(X282,X278,X280)
      | para(X281,X282,X279,X280) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_153,negated_conjecture,
    midp(X1,X2,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_151])]) ).

cnf(c_0_154,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_152]) ).

cnf(c_0_155,negated_conjecture,
    midp(X1,esk23_0,X2),
    inference(spm,[status(thm)],[c_0_121,c_0_153]) ).

fof(c_0_156,plain,
    ! [X116,X117,X118,X119,X120,X121,X122,X123] :
      ( ~ eqangle(X116,X117,X118,X119,X120,X121,X122,X123)
      | eqangle(X116,X117,X120,X121,X118,X119,X122,X123) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_157,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_155])]) ).

cnf(c_0_158,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_103,c_0_47]) ).

fof(c_0_159,plain,
    ! [X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135] :
      ( ~ eqangle(X124,X125,X126,X127,X128,X129,X130,X131)
      | ~ eqangle(X128,X129,X130,X131,X132,X133,X134,X135)
      | eqangle(X124,X125,X126,X127,X132,X133,X134,X135) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_160,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_156]) ).

cnf(c_0_161,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_157])]) ).

cnf(c_0_162,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_157])]) ).

cnf(c_0_163,plain,
    ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_164,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_165,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_160,c_0_162]) ).

cnf(c_0_166,negated_conjecture,
    ~ eqangle(esk26_0,esk23_0,esk23_0,esk25_0,esk25_0,esk23_0,esk23_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_167,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_165])]) ).

cnf(c_0_168,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_167])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GEO617+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.12  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 29 20:19:46 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.53/0.59  start to proof: theBenchmark
% 0.54/0.84  % Version  : CSE_E---1.5
% 0.54/0.84  % Problem  : theBenchmark.p
% 0.54/0.84  % Proof found
% 0.54/0.84  % SZS status Theorem for theBenchmark.p
% 0.54/0.84  % SZS output start Proof
% See solution above
% 0.54/0.85  % Total time : 0.248000 s
% 0.54/0.85  % SZS output end Proof
% 0.54/0.85  % Total time : 0.251000 s
%------------------------------------------------------------------------------