TSTP Solution File: GEO599+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO599+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 : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 22:48:48 EDT 2023

% Result   : Theorem 10.34s 10.44s
% Output   : CNFRefutation 10.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  354 (  83 unt;  42 typ;   0 def)
%            Number of atoms       :  920 (   0 equ)
%            Maximal formula atoms :  224 (   2 avg)
%            Number of connectives : 1087 ( 479   ~; 490   |;  82   &)
%                                         (   1 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   44 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  143 (  32   >; 111   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-8 aty)
%            Number of functors    :   30 (  30 usr;  10 con; 0-6 aty)
%            Number of variables   :  863 (  79 sgn; 341   !;   1   ?;   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,
    epred1_5: ( $i * $i * $i * $i * $i ) > $o ).

tff(decl_34,type,
    esk1_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_35,type,
    esk2_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_36,type,
    esk3_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_37,type,
    esk4_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_38,type,
    esk5_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_39,type,
    esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_40,type,
    esk7_2: ( $i * $i ) > $i ).

tff(decl_41,type,
    esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_42,type,
    esk9_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_43,type,
    esk10_3: ( $i * $i * $i ) > $i ).

tff(decl_44,type,
    esk11_3: ( $i * $i * $i ) > $i ).

tff(decl_45,type,
    esk12_4: ( $i * $i * $i * $i ) > $i ).

tff(decl_46,type,
    esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_47,type,
    esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_48,type,
    esk15_3: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    esk16_3: ( $i * $i * $i ) > $i ).

tff(decl_50,type,
    esk17_5: ( $i * $i * $i * $i * $i ) > $i ).

tff(decl_51,type,
    esk18_3: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    esk19_3: ( $i * $i * $i ) > $i ).

tff(decl_53,type,
    esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(decl_54,type,
    esk21_0: $i ).

tff(decl_55,type,
    esk22_0: $i ).

tff(decl_56,type,
    esk23_0: $i ).

tff(decl_57,type,
    esk24_0: $i ).

tff(decl_58,type,
    esk25_0: $i ).

tff(decl_59,type,
    esk26_0: $i ).

tff(decl_60,type,
    esk27_0: $i ).

tff(decl_61,type,
    esk28_0: $i ).

tff(decl_62,type,
    esk29_0: $i ).

tff(decl_63,type,
    esk30_0: $i ).

fof(exemplo6GDDFULL618061,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
      ( ( circle(X4,X1,X2,X3)
        & midp(X5,X2,X1)
        & coll(X6,X4,X5)
        & circle(X6,X1,X19,X20)
        & coll(X13,X2,X3)
        & circle(X6,X1,X13,X21) )
     => ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
        & ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
          | eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
        & eqangle(X1,X4,X4,X6,X1,X3,X3,X13) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).

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

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

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

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(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(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(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(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(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(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(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(ruleD63,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & midp(X7,X3,X4) )
     => para(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(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(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(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_32,plain,
    ! [X1,X4,X13,X6,X3] :
      ( epred1_5(X3,X13,X6,X4,X1)
    <=> ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
        & ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
          | eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) ) ) ),
    introduced(definition) ).

fof(c_0_33,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
        ( ( circle(X4,X1,X2,X3)
          & midp(X5,X2,X1)
          & coll(X6,X4,X5)
          & circle(X6,X1,X19,X20)
          & coll(X13,X2,X3)
          & circle(X6,X1,X13,X21) )
       => ( epred1_5(X3,X13,X6,X4,X1)
          & eqangle(X1,X4,X4,X6,X1,X3,X3,X13) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL618061]),c_0_32]) ).

fof(c_0_34,plain,
    ! [X395,X396,X397] :
      ( ~ midp(X395,X396,X397)
      | coll(X395,X396,X397) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_35,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & midp(esk25_0,esk22_0,esk21_0)
    & coll(esk26_0,esk24_0,esk25_0)
    & circle(esk26_0,esk21_0,esk28_0,esk29_0)
    & coll(esk27_0,esk22_0,esk23_0)
    & circle(esk26_0,esk21_0,esk27_0,esk30_0)
    & ( ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0)
      | ~ eqangle(esk21_0,esk24_0,esk24_0,esk26_0,esk21_0,esk23_0,esk23_0,esk27_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).

fof(c_0_36,plain,
    ! [X28,X29,X30,X31] :
      ( ~ coll(X28,X29,X30)
      | ~ coll(X28,X29,X31)
      | coll(X30,X31,X28) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

fof(c_0_37,plain,
    ! [X22,X23,X24] :
      ( ~ coll(X22,X23,X24)
      | coll(X22,X24,X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_38,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_39,negated_conjecture,
    midp(esk25_0,esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    coll(esk25_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X1)
    | ~ coll(X3,X2,X4) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk25_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

fof(c_0_45,plain,
    ! [X25,X26,X27] :
      ( ~ coll(X25,X26,X27)
      | coll(X26,X25,X27) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_46,negated_conjecture,
    ( coll(esk22_0,X1,esk25_0)
    | ~ coll(esk25_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk27_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_48,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk22_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_46,c_0_42]) ).

cnf(c_0_50,negated_conjecture,
    coll(esk27_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_41,c_0_47]) ).

cnf(c_0_51,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_41]) ).

cnf(c_0_52,negated_conjecture,
    ( coll(X1,esk25_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    ( coll(X1,esk22_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    ( coll(X1,esk21_0,esk25_0)
    | ~ coll(esk25_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_42]) ).

cnf(c_0_55,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X2,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    ( coll(X1,esk23_0,esk27_0)
    | ~ coll(esk27_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_47]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk27_0,esk25_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_50])]) ).

fof(c_0_58,plain,
    ! [X54,X55,X56,X57,X58,X59] :
      ( ~ perp(X54,X55,X56,X57)
      | ~ perp(X56,X57,X58,X59)
      | para(X54,X55,X58,X59) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_59,plain,
    ! [X496,X497,X498,X499] :
      ( ~ circle(X499,X496,X497,X498)
      | perp(esk12_4(X496,X497,X498,X499),X496,X496,X499) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_60,plain,
    ! [X50,X51,X52,X53] :
      ( ~ perp(X50,X51,X52,X53)
      | perp(X52,X53,X50,X51) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

cnf(c_0_61,negated_conjecture,
    ( coll(esk25_0,X1,esk21_0)
    | ~ coll(esk25_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_54]) ).

cnf(c_0_62,negated_conjecture,
    ( coll(esk27_0,esk23_0,X1)
    | ~ coll(esk27_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk27_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_41,c_0_57]) ).

fof(c_0_64,plain,
    ! [X251,X252,X253,X254,X255,X256] :
      ( ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256)
      | para(X251,X252,X253,X254) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

fof(c_0_65,plain,
    ! [X103,X104,X105,X106,X107,X108,X109,X110] :
      ( ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110)
      | eqangle(X105,X106,X103,X104,X109,X110,X107,X108) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

cnf(c_0_66,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_67,plain,
    ( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_68,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_69,negated_conjecture,
    ( coll(esk25_0,esk27_0,esk21_0)
    | ~ coll(esk27_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_53]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk27_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk22_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_42]) ).

fof(c_0_72,plain,
    ! [X271,X272,X273,X274] :
      ( ~ eqangle(X273,X271,X273,X272,X274,X271,X274,X272)
      | ~ coll(X273,X274,X272)
      | cyclic(X271,X272,X273,X274) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_73,plain,
    ! [X257,X258,X259,X260,X261,X262] :
      ( ~ para(X257,X258,X259,X260)
      | eqangle(X257,X258,X261,X262,X259,X260,X261,X262) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

cnf(c_0_74,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_75,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_65]) ).

cnf(c_0_76,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_66,c_0_67]) ).

cnf(c_0_77,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_68,c_0_67]) ).

cnf(c_0_78,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X1)
    | ~ coll(X4,X3,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_48]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk21_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_51,c_0_42]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk25_0,esk27_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).

cnf(c_0_81,negated_conjecture,
    ( coll(esk21_0,X1,esk22_0)
    | ~ coll(esk22_0,X1,esk25_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_71]) ).

cnf(c_0_82,negated_conjecture,
    coll(esk22_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_41,c_0_71]) ).

fof(c_0_83,plain,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & ~ coll(X9,X10,X1) )
     => cyclic(X1,X2,X9,X10) ),
    inference(fof_simplification,[status(thm)],[ruleD42a]) ).

fof(c_0_84,plain,
    ! [X86,X87,X88,X89] :
      ( ~ cyclic(X86,X87,X88,X89)
      | cyclic(X87,X86,X88,X89) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_85,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_72]) ).

cnf(c_0_86,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_87,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X5,X6,X1,X2,X5,X6,X3,X4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_88,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_89,negated_conjecture,
    circle(esk26_0,esk21_0,esk28_0,esk29_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_90,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_41,c_0_48]) ).

cnf(c_0_91,negated_conjecture,
    ( coll(esk22_0,X1,esk21_0)
    | ~ coll(esk25_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk25_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_41,c_0_80]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk23_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_56,c_0_47]) ).

fof(c_0_95,plain,
    ! [X82,X83,X84,X85] :
      ( ~ cyclic(X82,X83,X84,X85)
      | cyclic(X82,X84,X83,X85) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

fof(c_0_96,plain,
    ! [X267,X268,X269,X270] :
      ( ~ eqangle(X269,X267,X269,X268,X270,X267,X270,X268)
      | coll(X269,X270,X267)
      | cyclic(X267,X268,X269,X270) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_83])]) ).

cnf(c_0_97,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_98,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_99,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_87,c_0_86]) ).

cnf(c_0_100,negated_conjecture,
    para(esk21_0,esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_101,negated_conjecture,
    coll(esk26_0,esk24_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_102,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X2,X4)
    | ~ coll(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_43,c_0_90]) ).

cnf(c_0_103,negated_conjecture,
    coll(esk22_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_104,negated_conjecture,
    ( coll(X1,esk22_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_93]) ).

fof(c_0_105,plain,
    ! [X386,X387,X388] :
      ( ~ para(X386,X387,X386,X388)
      | coll(X386,X387,X388) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_106,negated_conjecture,
    ( coll(esk27_0,X1,esk23_0)
    | ~ coll(esk23_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_94]) ).

fof(c_0_107,plain,
    ! [X78,X79,X80,X81] :
      ( ~ cyclic(X78,X79,X80,X81)
      | cyclic(X78,X79,X81,X80) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_108,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_109,plain,
    ( coll(X1,X4,X2)
    | cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_110,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X2,X3,X2)
    | ~ coll(X3,X3,X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_111,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk24_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_48,c_0_101]) ).

cnf(c_0_113,negated_conjecture,
    ( coll(esk23_0,esk27_0,X1)
    | ~ coll(esk27_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_56]) ).

cnf(c_0_114,negated_conjecture,
    ( coll(X1,esk27_0,esk22_0)
    | ~ coll(X1,esk22_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_115,negated_conjecture,
    ( coll(X1,esk22_0,esk21_0)
    | ~ coll(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_104,c_0_90]) ).

cnf(c_0_116,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_117,negated_conjecture,
    ( coll(esk23_0,esk27_0,X1)
    | ~ coll(esk23_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_106]) ).

cnf(c_0_118,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_119,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_97,c_0_108]) ).

cnf(c_0_120,plain,
    ( cyclic(X1,X2,X3,X3)
    | coll(X3,X3,X1)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_86]) ).

cnf(c_0_121,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ coll(X3,X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).

cnf(c_0_122,negated_conjecture,
    coll(esk24_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_90,c_0_101]) ).

cnf(c_0_123,negated_conjecture,
    ( coll(X1,esk25_0,esk24_0)
    | ~ coll(esk24_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_112]) ).

cnf(c_0_124,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(esk26_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_101]) ).

cnf(c_0_125,negated_conjecture,
    ( coll(esk21_0,X1,esk25_0)
    | ~ coll(esk25_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_42]) ).

cnf(c_0_126,negated_conjecture,
    ( coll(X1,esk25_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_82]) ).

fof(c_0_127,plain,
    ! [X66,X67,X68] :
      ( ~ midp(X68,X67,X66)
      | midp(X68,X66,X67) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_128,plain,
    ! [X389,X390,X391] :
      ( ~ cong(X389,X390,X389,X391)
      | ~ coll(X389,X390,X391)
      | midp(X389,X390,X391) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_129,negated_conjecture,
    ( coll(esk23_0,esk27_0,X1)
    | ~ coll(X1,esk27_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_113,c_0_90]) ).

cnf(c_0_130,negated_conjecture,
    ( coll(X1,esk27_0,esk22_0)
    | ~ coll(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_131,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_116,c_0_111]) ).

cnf(c_0_132,negated_conjecture,
    ( coll(esk23_0,esk27_0,X1)
    | ~ coll(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_117,c_0_48]) ).

fof(c_0_133,plain,
    ! [X275,X276,X277,X278,X279,X280] :
      ( ~ cyclic(X275,X276,X277,X278)
      | ~ cyclic(X275,X276,X277,X279)
      | ~ cyclic(X275,X276,X277,X280)
      | ~ eqangle(X277,X275,X277,X276,X280,X278,X280,X279)
      | cong(X275,X276,X278,X279) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).

fof(c_0_134,plain,
    ! [X325,X326,X327,X328] :
      ( ~ cyclic(X325,X326,X327,X328)
      | ~ para(X325,X326,X327,X328)
      | eqangle(X325,X328,X327,X328,X327,X328,X327,X326) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

fof(c_0_135,plain,
    ! [X90,X91,X92,X93,X94] :
      ( ~ cyclic(X90,X91,X92,X93)
      | ~ cyclic(X90,X91,X92,X94)
      | cyclic(X91,X92,X93,X94) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_136,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X4,X1,X3) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_137,plain,
    cyclic(X1,X2,X3,X3),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_111])]),c_0_121]) ).

cnf(c_0_138,negated_conjecture,
    ( coll(esk26_0,X1,esk24_0)
    | ~ coll(esk25_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_122]) ).

cnf(c_0_139,negated_conjecture,
    ( coll(X1,esk24_0,esk25_0)
    | ~ coll(esk24_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_123]) ).

cnf(c_0_140,negated_conjecture,
    ( coll(esk21_0,esk25_0,X1)
    | ~ coll(esk25_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_54]) ).

cnf(c_0_141,negated_conjecture,
    ( coll(X1,esk26_0,X2)
    | ~ coll(esk26_0,esk24_0,X2)
    | ~ coll(X2,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_124]) ).

cnf(c_0_142,negated_conjecture,
    ( coll(esk25_0,X1,esk22_0)
    | ~ coll(esk22_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_82]) ).

cnf(c_0_143,negated_conjecture,
    ( coll(esk25_0,X1,esk24_0)
    | ~ coll(esk24_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_112]) ).

cnf(c_0_144,negated_conjecture,
    ( coll(X1,esk22_0,esk21_0)
    | ~ coll(esk21_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_79]) ).

cnf(c_0_145,negated_conjecture,
    coll(esk21_0,esk25_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_82])]) ).

cnf(c_0_146,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_147,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

fof(c_0_148,plain,
    ! [X143,X144,X145,X146] :
      ( ~ cong(X143,X144,X145,X146)
      | cong(X145,X146,X143,X144) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_149,negated_conjecture,
    ( coll(X1,X2,esk23_0)
    | ~ coll(esk23_0,esk27_0,X1)
    | ~ coll(X2,esk27_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_129]) ).

cnf(c_0_150,negated_conjecture,
    coll(X1,esk27_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).

cnf(c_0_151,negated_conjecture,
    coll(esk23_0,esk27_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_131])]) ).

cnf(c_0_152,plain,
    ( cong(X1,X2,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X6)
    | ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_133]) ).

cnf(c_0_153,plain,
    ( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_134]) ).

cnf(c_0_154,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_135]) ).

cnf(c_0_155,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_156,negated_conjecture,
    coll(esk26_0,esk25_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_112])]) ).

cnf(c_0_157,negated_conjecture,
    ( coll(X1,esk22_0,esk25_0)
    | ~ coll(esk25_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_44]) ).

cnf(c_0_158,negated_conjecture,
    ( coll(esk21_0,esk25_0,X1)
    | ~ coll(esk22_0,X1,esk25_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_51]) ).

cnf(c_0_159,negated_conjecture,
    coll(esk22_0,esk26_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_101]),c_0_71])]) ).

cnf(c_0_160,negated_conjecture,
    ( coll(esk25_0,esk24_0,esk21_0)
    | ~ coll(esk24_0,esk22_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_143]) ).

cnf(c_0_161,negated_conjecture,
    coll(esk21_0,esk25_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_144]),c_0_145])]) ).

cnf(c_0_162,negated_conjecture,
    ( coll(esk21_0,X1,esk25_0)
    | ~ coll(X1,esk25_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_48]) ).

fof(c_0_163,plain,
    ! [X286,X287,X288,X289,X290] :
      ( ~ midp(X289,X286,X287)
      | ~ para(X289,X290,X287,X288)
      | ~ coll(X290,X286,X288)
      | midp(X290,X286,X288) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

fof(c_0_164,plain,
    ! [X36,X37,X38,X39] :
      ( ~ para(X36,X37,X38,X39)
      | para(X38,X39,X36,X37) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

fof(c_0_165,plain,
    ! [X281,X282,X283,X284,X285] :
      ( ~ midp(X284,X281,X282)
      | ~ midp(X285,X281,X283)
      | para(X284,X285,X282,X283) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_166,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2)
    | ~ coll(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_167,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_148]) ).

cnf(c_0_168,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X2,X4)
    | ~ coll(X3,X1,X4) ),
    inference(spm,[status(thm)],[c_0_43,c_0_41]) ).

cnf(c_0_169,negated_conjecture,
    coll(X1,X2,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150])]),c_0_151])]) ).

cnf(c_0_170,plain,
    ( cong(X1,X1,X1,X2)
    | ~ cyclic(X1,X1,X3,X3)
    | ~ cyclic(X1,X1,X3,X2)
    | ~ cyclic(X1,X1,X3,X1)
    | ~ cyclic(X3,X2,X3,X1)
    | ~ para(X3,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_171,plain,
    cyclic(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_172,negated_conjecture,
    ( coll(esk24_0,X1,esk26_0)
    | ~ coll(esk26_0,X1,esk25_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_156]) ).

cnf(c_0_173,negated_conjecture,
    ( coll(X1,esk22_0,esk25_0)
    | ~ coll(esk21_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_157,c_0_48]) ).

cnf(c_0_174,negated_conjecture,
    coll(esk21_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_175,negated_conjecture,
    ( coll(X1,esk26_0,esk24_0)
    | ~ coll(esk24_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_122]) ).

cnf(c_0_176,negated_conjecture,
    ( coll(esk24_0,esk25_0,esk21_0)
    | ~ coll(esk24_0,esk22_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_160]) ).

cnf(c_0_177,negated_conjecture,
    coll(esk21_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_51,c_0_71]) ).

cnf(c_0_178,negated_conjecture,
    coll(esk27_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_103]) ).

cnf(c_0_179,negated_conjecture,
    ( coll(esk21_0,X1,esk21_0)
    | ~ coll(esk21_0,X1,esk25_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_161]) ).

cnf(c_0_180,negated_conjecture,
    coll(esk21_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_162,c_0_57]) ).

cnf(c_0_181,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_163]) ).

cnf(c_0_182,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_183,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_184,negated_conjecture,
    ( coll(X1,esk25_0,esk22_0)
    | ~ coll(X1,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_126,c_0_55]) ).

cnf(c_0_185,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_115]) ).

fof(c_0_186,plain,
    ! [X376,X377,X378,X379,X380] :
      ( ~ midp(X380,X376,X377)
      | ~ para(X376,X378,X377,X379)
      | ~ para(X376,X379,X377,X378)
      | midp(X380,X378,X379) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_187,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_188,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_169])]) ).

cnf(c_0_189,plain,
    ( cong(X1,X1,X1,X2)
    | ~ para(X3,X2,X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_137])]),c_0_171]),c_0_171]),c_0_171])]) ).

cnf(c_0_190,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(X1,esk26_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_90]) ).

cnf(c_0_191,negated_conjecture,
    ( coll(esk25_0,esk21_0,esk24_0)
    | ~ coll(esk24_0,esk22_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_160]) ).

cnf(c_0_192,negated_conjecture,
    coll(esk24_0,esk22_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).

cnf(c_0_193,negated_conjecture,
    ( coll(esk21_0,esk26_0,esk24_0)
    | ~ coll(esk24_0,esk22_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_194,negated_conjecture,
    ( coll(esk25_0,X1,esk21_0)
    | ~ coll(esk21_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_177]) ).

cnf(c_0_195,negated_conjecture,
    coll(esk27_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_62,c_0_178]) ).

cnf(c_0_196,negated_conjecture,
    coll(esk21_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_197,negated_conjecture,
    ( coll(X1,esk25_0,esk21_0)
    | ~ coll(esk21_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_177]) ).

cnf(c_0_198,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X5,X3,X4,X1)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_199,negated_conjecture,
    ( para(X1,esk25_0,X2,esk21_0)
    | ~ midp(X1,esk22_0,X2) ),
    inference(spm,[status(thm)],[c_0_183,c_0_39]) ).

cnf(c_0_200,negated_conjecture,
    ( coll(esk21_0,X1,esk25_0)
    | ~ coll(X1,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_184]) ).

cnf(c_0_201,negated_conjecture,
    coll(X1,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_131])]) ).

cnf(c_0_202,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_186]) ).

cnf(c_0_203,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188])]) ).

cnf(c_0_204,negated_conjecture,
    cong(X1,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_189,c_0_111]) ).

cnf(c_0_205,negated_conjecture,
    ( coll(esk26_0,X1,X2)
    | ~ coll(X2,esk26_0,esk24_0)
    | ~ coll(esk25_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_190]) ).

cnf(c_0_206,negated_conjecture,
    coll(esk25_0,esk21_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_192])]) ).

cnf(c_0_207,negated_conjecture,
    coll(esk21_0,esk26_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_192])]) ).

cnf(c_0_208,negated_conjecture,
    coll(esk21_0,esk26_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_194]),c_0_101]),c_0_79])]) ).

cnf(c_0_209,negated_conjecture,
    ( coll(X1,esk27_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_94]) ).

cnf(c_0_210,negated_conjecture,
    ( coll(X1,esk23_0,esk27_0)
    | ~ coll(X1,esk27_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_102,c_0_195]) ).

cnf(c_0_211,negated_conjecture,
    ( coll(X1,esk27_0,esk21_0)
    | ~ coll(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_102,c_0_196]) ).

fof(c_0_212,plain,
    ! [X371,X372,X373,X374,X375] :
      ( ~ midp(X375,X371,X372)
      | ~ midp(X375,X373,X374)
      | para(X371,X373,X372,X374) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).

cnf(c_0_213,negated_conjecture,
    ( coll(X1,esk25_0,esk21_0)
    | ~ coll(X1,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_197,c_0_90]) ).

cnf(c_0_214,negated_conjecture,
    ( midp(esk21_0,X1,esk25_0)
    | ~ midp(X2,esk22_0,X3)
    | ~ midp(X3,X1,X2)
    | ~ coll(esk21_0,X1,esk25_0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_199]) ).

cnf(c_0_215,negated_conjecture,
    coll(esk21_0,X1,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_201])]) ).

cnf(c_0_216,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_111]),c_0_111])]) ).

cnf(c_0_217,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_218,negated_conjecture,
    coll(esk26_0,esk24_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).

cnf(c_0_219,negated_conjecture,
    coll(esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_179,c_0_208]) ).

cnf(c_0_220,negated_conjecture,
    ( coll(X1,esk27_0,esk23_0)
    | ~ coll(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_209,c_0_90]) ).

cnf(c_0_221,negated_conjecture,
    ( coll(X1,esk22_0,esk27_0)
    | ~ coll(X1,esk23_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_55]) ).

cnf(c_0_222,negated_conjecture,
    ( coll(X1,esk23_0,esk27_0)
    | ~ coll(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_223,plain,
    ( para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_212]) ).

cnf(c_0_224,negated_conjecture,
    ( coll(esk25_0,X1,esk21_0)
    | ~ coll(X1,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_213]) ).

cnf(c_0_225,negated_conjecture,
    ( midp(esk21_0,X1,esk25_0)
    | ~ midp(X2,esk22_0,X3)
    | ~ midp(X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_215])]) ).

cnf(c_0_226,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_227,negated_conjecture,
    ( coll(esk25_0,X1,esk26_0)
    | ~ coll(esk26_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_101]) ).

cnf(c_0_228,negated_conjecture,
    ( coll(X1,esk24_0,esk26_0)
    | ~ coll(X1,esk26_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_102,c_0_218]) ).

cnf(c_0_229,negated_conjecture,
    ( coll(X1,esk26_0,esk21_0)
    | ~ coll(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_102,c_0_219]) ).

cnf(c_0_230,negated_conjecture,
    ( coll(esk22_0,esk27_0,X1)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_53]) ).

cnf(c_0_231,negated_conjecture,
    ( coll(esk27_0,esk23_0,X1)
    | ~ coll(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_90,c_0_220]) ).

cnf(c_0_232,negated_conjecture,
    ( coll(esk22_0,esk27_0,X1)
    | ~ coll(X1,esk23_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_90,c_0_221]) ).

cnf(c_0_233,negated_conjecture,
    coll(X1,esk23_0,esk27_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_131])]) ).

cnf(c_0_234,negated_conjecture,
    ( para(X1,esk22_0,X2,esk21_0)
    | ~ midp(esk25_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_223,c_0_39]) ).

cnf(c_0_235,negated_conjecture,
    ( midp(esk25_0,X1,esk21_0)
    | ~ midp(X2,esk22_0,X3)
    | ~ midp(X2,X1,X3)
    | ~ coll(esk25_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_199]) ).

cnf(c_0_236,negated_conjecture,
    coll(esk25_0,X1,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_201])]) ).

cnf(c_0_237,negated_conjecture,
    ( midp(esk21_0,X1,esk25_0)
    | ~ midp(esk22_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_238,negated_conjecture,
    ( coll(esk26_0,esk25_0,X1)
    | ~ coll(esk26_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_227]) ).

cnf(c_0_239,negated_conjecture,
    ( coll(X1,esk24_0,esk26_0)
    | ~ coll(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

fof(c_0_240,plain,
    ! [X32,X33,X34,X35] :
      ( ~ para(X32,X33,X34,X35)
      | para(X32,X33,X35,X34) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_241,negated_conjecture,
    ( coll(esk27_0,X1,X2)
    | ~ coll(X2,esk23_0,esk27_0)
    | ~ coll(X2,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_221]) ).

cnf(c_0_242,negated_conjecture,
    ( coll(X1,X2,esk22_0)
    | ~ coll(esk22_0,esk27_0,X1)
    | ~ coll(esk27_0,esk23_0,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_230]) ).

cnf(c_0_243,negated_conjecture,
    coll(esk27_0,esk23_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_131])]) ).

cnf(c_0_244,negated_conjecture,
    coll(esk22_0,esk27_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_233])]) ).

cnf(c_0_245,negated_conjecture,
    ( midp(esk21_0,X1,esk22_0)
    | ~ midp(esk25_0,X2,X3)
    | ~ midp(X3,X1,X2)
    | ~ coll(esk21_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_198,c_0_234]) ).

cnf(c_0_246,negated_conjecture,
    coll(esk21_0,X1,esk22_0),
    inference(spm,[status(thm)],[c_0_48,c_0_201]) ).

cnf(c_0_247,negated_conjecture,
    ( midp(esk25_0,X1,esk21_0)
    | ~ midp(X2,esk22_0,X3)
    | ~ midp(X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_236])]) ).

cnf(c_0_248,negated_conjecture,
    midp(esk21_0,X1,esk25_0),
    inference(spm,[status(thm)],[c_0_237,c_0_226]) ).

cnf(c_0_249,negated_conjecture,
    ( coll(esk26_0,esk25_0,X1)
    | ~ coll(X1,esk24_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_238,c_0_51]) ).

cnf(c_0_250,negated_conjecture,
    coll(X1,esk24_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_131])]) ).

cnf(c_0_251,negated_conjecture,
    midp(esk25_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_146,c_0_39]) ).

cnf(c_0_252,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_240]) ).

cnf(c_0_253,negated_conjecture,
    ( coll(X1,esk27_0,esk22_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_53]) ).

cnf(c_0_254,negated_conjecture,
    ( coll(esk27_0,X1,X2)
    | ~ coll(X2,X1,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_233])]) ).

cnf(c_0_255,negated_conjecture,
    coll(X1,X2,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243])]),c_0_244])]) ).

cnf(c_0_256,negated_conjecture,
    ( midp(esk21_0,X1,esk22_0)
    | ~ midp(esk25_0,X2,X3)
    | ~ midp(X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246])]) ).

cnf(c_0_257,negated_conjecture,
    midp(esk25_0,X1,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_248])]) ).

cnf(c_0_258,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X4,X3,X2)
    | ~ coll(X4,X3,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_48]) ).

cnf(c_0_259,negated_conjecture,
    coll(esk26_0,esk25_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_250])]) ).

cnf(c_0_260,negated_conjecture,
    ( para(X1,esk21_0,X2,esk22_0)
    | ~ midp(esk25_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_223,c_0_251]) ).

cnf(c_0_261,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X3,X5)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_181,c_0_252]) ).

cnf(c_0_262,negated_conjecture,
    ( coll(esk22_0,X1,X2)
    | ~ coll(esk27_0,esk23_0,X2)
    | ~ coll(esk27_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_253]) ).

cnf(c_0_263,negated_conjecture,
    coll(esk27_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_255])]) ).

cnf(c_0_264,negated_conjecture,
    ( midp(esk21_0,X1,esk22_0)
    | ~ midp(esk21_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_265,negated_conjecture,
    coll(X1,X2,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_259])]) ).

cnf(c_0_266,negated_conjecture,
    ( midp(esk22_0,X1,esk21_0)
    | ~ midp(esk25_0,X2,X3)
    | ~ midp(X2,X1,X3)
    | ~ coll(esk22_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_234]) ).

cnf(c_0_267,negated_conjecture,
    coll(esk22_0,X1,esk21_0),
    inference(spm,[status(thm)],[c_0_51,c_0_201]) ).

cnf(c_0_268,negated_conjecture,
    ( midp(X1,esk21_0,esk22_0)
    | ~ midp(esk25_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_234]),c_0_260]) ).

cnf(c_0_269,negated_conjecture,
    ( midp(esk22_0,X1,X2)
    | ~ midp(X3,X1,esk21_0)
    | ~ midp(esk25_0,X3,X2)
    | ~ coll(esk22_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_261,c_0_234]) ).

cnf(c_0_270,negated_conjecture,
    coll(esk22_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_243])]),c_0_263])]) ).

cnf(c_0_271,negated_conjecture,
    midp(esk21_0,X1,esk22_0),
    inference(spm,[status(thm)],[c_0_264,c_0_226]) ).

cnf(c_0_272,negated_conjecture,
    ( midp(esk25_0,X1,X2)
    | ~ midp(X3,X1,esk21_0)
    | ~ midp(X3,esk22_0,X2)
    | ~ coll(esk25_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_261,c_0_199]) ).

cnf(c_0_273,negated_conjecture,
    coll(esk25_0,X1,X2),
    inference(spm,[status(thm)],[c_0_55,c_0_265]) ).

cnf(c_0_274,negated_conjecture,
    ( midp(esk22_0,X1,esk21_0)
    | ~ midp(esk25_0,X2,X3)
    | ~ midp(X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_267])]) ).

cnf(c_0_275,negated_conjecture,
    midp(X1,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_226]),c_0_226])]) ).

cnf(c_0_276,negated_conjecture,
    ( midp(esk22_0,X1,X2)
    | ~ midp(X3,X1,esk21_0)
    | ~ midp(esk25_0,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_270])]) ).

cnf(c_0_277,negated_conjecture,
    midp(esk21_0,esk22_0,X1),
    inference(spm,[status(thm)],[c_0_146,c_0_271]) ).

cnf(c_0_278,negated_conjecture,
    midp(esk25_0,esk21_0,X1),
    inference(spm,[status(thm)],[c_0_146,c_0_257]) ).

cnf(c_0_279,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X1,X3)
    | ~ midp(X5,X4,X2) ),
    inference(spm,[status(thm)],[c_0_223,c_0_146]) ).

cnf(c_0_280,negated_conjecture,
    ( midp(esk25_0,X1,X2)
    | ~ midp(X3,X1,esk21_0)
    | ~ midp(X3,esk22_0,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_273])]) ).

cnf(c_0_281,negated_conjecture,
    midp(esk22_0,X1,esk21_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_282,negated_conjecture,
    midp(esk22_0,esk22_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_278])]) ).

fof(c_0_283,plain,
    ! [X111,X112,X113,X114,X115,X116,X117,X118] :
      ( ~ eqangle(X111,X112,X113,X114,X115,X116,X117,X118)
      | eqangle(X115,X116,X117,X118,X111,X112,X113,X114) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_284,negated_conjecture,
    ( para(esk21_0,X1,esk22_0,X2)
    | ~ midp(esk25_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_279,c_0_251]) ).

cnf(c_0_285,negated_conjecture,
    midp(esk25_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_282])]) ).

fof(c_0_286,plain,
    ! [X119,X120,X121,X122,X123,X124,X125,X126] :
      ( ~ eqangle(X119,X120,X121,X122,X123,X124,X125,X126)
      | eqangle(X119,X120,X123,X124,X121,X122,X125,X126) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_287,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_283]) ).

cnf(c_0_288,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X1,X5,X3)
    | ~ midp(X2,X4,X5) ),
    inference(spm,[status(thm)],[c_0_183,c_0_146]) ).

cnf(c_0_289,negated_conjecture,
    para(esk21_0,X1,esk22_0,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_285])]) ).

fof(c_0_290,plain,
    ! [X1,X4,X13,X6,X3] :
      ( ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
        & ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
          | eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) ) )
     => epred1_5(X3,X13,X6,X4,X1) ),
    inference(split_equiv,[status(thm)],[c_0_32]) ).

fof(c_0_291,plain,
    ! [X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138] :
      ( ~ eqangle(X127,X128,X129,X130,X131,X132,X133,X134)
      | ~ eqangle(X131,X132,X133,X134,X135,X136,X137,X138)
      | eqangle(X127,X128,X129,X130,X135,X136,X137,X138) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_292,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_286]) ).

cnf(c_0_293,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X5,X6,X1,X2) ),
    inference(spm,[status(thm)],[c_0_287,c_0_86]) ).

cnf(c_0_294,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X4,X5)
    | ~ midp(X1,X3,X5) ),
    inference(spm,[status(thm)],[c_0_288,c_0_146]) ).

cnf(c_0_295,negated_conjecture,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_289]),c_0_275]),c_0_289])]) ).

fof(c_0_296,plain,
    ! [X553,X554,X555,X556,X557] :
      ( ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X553,X554,X554,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X553,X554,X554,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) )
      & ( ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X555,X555,X557)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X553,X557,X557,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | ~ eqangle(X554,X553,X553,X556,X557,X553,X553,X555)
        | epred1_5(X557,X555,X556,X554,X553) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_290])])]) ).

cnf(c_0_297,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_291]) ).

cnf(c_0_298,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X5,X6)
    | ~ para(X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_292,c_0_293]) ).

cnf(c_0_299,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_295]),c_0_295])]) ).

cnf(c_0_300,plain,
    ( epred1_5(X4,X5,X3,X2,X1)
    | ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
    | ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4)
    | ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
    | ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4)
    | ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5)
    | ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_296]) ).

cnf(c_0_301,negated_conjecture,
    ( ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0)
    | ~ eqangle(esk21_0,esk24_0,esk24_0,esk26_0,esk21_0,esk23_0,esk23_0,esk27_0) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_302,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
    | ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
    inference(spm,[status(thm)],[c_0_297,c_0_287]) ).

cnf(c_0_303,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_298,c_0_299])]) ).

cnf(c_0_304,plain,
    ( epred1_5(X4,X5,X3,X2,X1)
    | ~ eqangle(X2,X1,X1,X3,X4,X1,X1,X5)
    | ~ eqangle(X1,X2,X2,X3,X4,X1,X1,X5)
    | ~ eqangle(X1,X2,X2,X3,X1,X5,X5,X4) ),
    inference(cn,[status(thm)],[c_0_300]) ).

cnf(c_0_305,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X7,X8,X5,X6,X3,X4,X1,X2) ),
    inference(spm,[status(thm)],[c_0_287,c_0_75]) ).

cnf(c_0_306,negated_conjecture,
    ( ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0)
    | ~ eqangle(esk21_0,esk24_0,esk21_0,esk23_0,esk24_0,esk26_0,esk23_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_301,c_0_292]) ).

cnf(c_0_307,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_303])]) ).

cnf(c_0_308,plain,
    ( epred1_5(X1,X2,X3,X4,X5)
    | ~ eqangle(X5,X4,X4,X3,X1,X5,X5,X2)
    | ~ eqangle(X5,X4,X4,X3,X5,X2,X2,X1)
    | ~ eqangle(X5,X2,X1,X5,X5,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_304,c_0_305]) ).

cnf(c_0_309,negated_conjecture,
    ~ epred1_5(esk23_0,esk27_0,esk26_0,esk24_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_307])]) ).

cnf(c_0_310,plain,
    epred1_5(X1,X2,X3,X4,X5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_307]),c_0_307]),c_0_307])]) ).

cnf(c_0_311,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_310])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO599+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 20:54:58 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.22/0.57  start to proof: theBenchmark
% 10.34/10.44  % Version  : CSE_E---1.5
% 10.34/10.44  % Problem  : theBenchmark.p
% 10.34/10.44  % Proof found
% 10.34/10.44  % SZS status Theorem for theBenchmark.p
% 10.34/10.44  % SZS output start Proof
% See solution above
% 10.34/10.46  % Total time : 9.859000 s
% 10.34/10.46  % SZS output end Proof
% 10.34/10.46  % Total time : 9.865000 s
%------------------------------------------------------------------------------