TSTP Solution File: GEO594+1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : GEO594+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 : n027.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 22:48:47 EDT 2023

% Result   : Theorem 0.56s 0.84s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   67
% Syntax   : Number of formulae    :  222 (  72 unt;  37 typ;   0 def)
%            Number of atoms       :  370 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  307 ( 122   ~; 122   |;  32   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 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   :  522 (  40 sgn; 274   !;   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(exemplo6GDDFULL416056,conjecture,
    ! [X1,X2,X7,X8,X4,X5] :
      ( ( ( cong(X7,X1,X1,X2)
          | cong(X7,X1,X7,X2) )
        & circle(X8,X1,X2,X7)
        & coll(X4,X7,X8)
        & coll(X4,X1,X2)
        & perp(X1,X8,X1,X5)
        & para(X1,X8,X5,X7) )
     => cong(X7,X5,X7,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416056) ).

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

fof(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(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(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(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(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(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(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(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(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(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(ruleD49,axiom,
    ! [X1,X2,X3,X8,X16] :
      ( ( circle(X8,X1,X2,X3)
        & eqangle(X1,X16,X1,X2,X3,X1,X3,X2) )
     => perp(X8,X1,X1,X16) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD49) ).

fof(ruleD10,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( para(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => perp(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

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

fof(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(c_0_30,negated_conjecture,
    ~ ! [X1,X2,X7,X8,X4,X5] :
        ( ( ( cong(X7,X1,X1,X2)
            | cong(X7,X1,X7,X2) )
          & circle(X8,X1,X2,X7)
          & coll(X4,X7,X8)
          & coll(X4,X1,X2)
          & perp(X1,X8,X1,X5)
          & para(X1,X8,X5,X7) )
       => cong(X7,X5,X7,X4) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416056]) ).

fof(c_0_31,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])]) ).

fof(c_0_32,negated_conjecture,
    ( ( cong(esk23_0,esk21_0,esk21_0,esk22_0)
      | cong(esk23_0,esk21_0,esk23_0,esk22_0) )
    & circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & coll(esk25_0,esk23_0,esk24_0)
    & coll(esk25_0,esk21_0,esk22_0)
    & perp(esk21_0,esk24_0,esk21_0,esk26_0)
    & para(esk21_0,esk24_0,esk26_0,esk23_0)
    & ~ cong(esk23_0,esk26_0,esk23_0,esk25_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).

fof(c_0_33,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_34,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    para(esk21_0,esk24_0,esk26_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_36,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_37,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_38,negated_conjecture,
    para(esk26_0,esk23_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_39,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_40,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,negated_conjecture,
    coll(esk25_0,esk23_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_42,negated_conjecture,
    para(esk26_0,esk23_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk23_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    coll(esk25_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_46,plain,
    ! [X37,X38,X39,X40,X41,X42] :
      ( ~ para(X37,X38,X39,X40)
      | ~ para(X39,X40,X41,X42)
      | para(X37,X38,X41,X42) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

cnf(c_0_47,negated_conjecture,
    para(esk24_0,esk21_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_34,c_0_42]) ).

fof(c_0_48,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_49,negated_conjecture,
    coll(esk23_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    coll(esk21_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_40,c_0_45]) ).

fof(c_0_51,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_52,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])]) ).

cnf(c_0_53,plain,
    ( para(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ para(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_54,negated_conjecture,
    para(esk24_0,esk21_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_47]) ).

cnf(c_0_55,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk24_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_40,c_0_49]) ).

cnf(c_0_57,negated_conjecture,
    coll(esk21_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_43,c_0_50]) ).

fof(c_0_58,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_59,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_51]) ).

cnf(c_0_60,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_61,negated_conjecture,
    ( para(X1,X2,esk23_0,esk26_0)
    | ~ para(X1,X2,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_62,negated_conjecture,
    ( coll(X1,esk25_0,esk24_0)
    | ~ coll(esk24_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk22_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_40,c_0_57]) ).

cnf(c_0_64,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_65,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_66,negated_conjecture,
    para(esk26_0,esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_61,c_0_42]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk25_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_62,c_0_56]) ).

cnf(c_0_68,negated_conjecture,
    ( coll(X1,esk25_0,esk22_0)
    | ~ coll(esk22_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_63]) ).

fof(c_0_69,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_70,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_71,negated_conjecture,
    para(esk26_0,esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_66]) ).

cnf(c_0_72,negated_conjecture,
    ( coll(X1,esk24_0,esk25_0)
    | ~ coll(esk25_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_67]) ).

cnf(c_0_73,negated_conjecture,
    coll(esk25_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_68,c_0_63]) ).

cnf(c_0_74,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_76,negated_conjecture,
    coll(esk25_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_43,c_0_41]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk22_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_78,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk24_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_40,c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    coll(esk24_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_40,c_0_77]) ).

fof(c_0_81,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])]) ).

cnf(c_0_82,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_40,c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    ( coll(X1,esk23_0,esk24_0)
    | ~ coll(esk24_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_79]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk24_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_43,c_0_80]) ).

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_81]) ).

cnf(c_0_86,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_43,c_0_82]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_79]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk22_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

fof(c_0_89,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_90,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_85,c_0_60]) ).

cnf(c_0_91,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_86]),c_0_86])]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_43,c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk23_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_40,c_0_88]) ).

fof(c_0_94,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_95,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_96,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_75])]),c_0_91])]) ).

fof(c_0_97,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_98,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_99,negated_conjecture,
    ( coll(X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_92]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_43,c_0_93]) ).

fof(c_0_101,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_102,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_103,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_104,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_97]) ).

cnf(c_0_105,plain,
    ( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_106,negated_conjecture,
    coll(esk22_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

fof(c_0_107,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_108,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_109,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_110,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_104,c_0_105]) ).

cnf(c_0_111,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_40,c_0_106]) ).

cnf(c_0_113,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_114,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

fof(c_0_115,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_116,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_110,c_0_111]),c_0_112])]) ).

cnf(c_0_117,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_114])]) ).

fof(c_0_118,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])]) ).

fof(c_0_119,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])]) ).

fof(c_0_120,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_121,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_115]) ).

cnf(c_0_122,negated_conjecture,
    midp(esk23_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).

fof(c_0_123,plain,
    ! [X299,X300,X301,X302,X303] :
      ( ~ circle(X302,X299,X300,X301)
      | ~ eqangle(X299,X303,X299,X300,X301,X299,X301,X300)
      | perp(X302,X299,X299,X303) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD49])]) ).

cnf(c_0_124,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_118]) ).

cnf(c_0_125,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_119]) ).

cnf(c_0_126,plain,
    ( cong(X3,X4,X1,X2)
    | ~ cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_120]) ).

cnf(c_0_127,negated_conjecture,
    cong(esk23_0,esk22_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_128,negated_conjecture,
    para(esk21_0,esk24_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_37,c_0_35]) ).

cnf(c_0_129,plain,
    ( perp(X1,X2,X2,X5)
    | ~ circle(X1,X2,X3,X4)
    | ~ eqangle(X2,X5,X2,X3,X4,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_130,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_131,negated_conjecture,
    cong(esk23_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

fof(c_0_132,plain,
    ! [X57,X58,X59,X60,X61,X62] :
      ( ~ para(X57,X58,X59,X60)
      | ~ perp(X59,X60,X61,X62)
      | perp(X57,X58,X61,X62) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

cnf(c_0_133,negated_conjecture,
    para(esk23_0,esk26_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_34,c_0_128]) ).

cnf(c_0_134,plain,
    ( perp(X1,X2,X2,X2)
    | ~ cyclic(X2,X3,X2,X4)
    | ~ circle(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_129,c_0_105]) ).

fof(c_0_135,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_136,negated_conjecture,
    para(esk23_0,esk23_0,esk23_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_75])]) ).

fof(c_0_137,plain,
    ! [X63,X64,X65] :
      ( ~ midp(X65,X64,X63)
      | midp(X65,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_138,plain,
    ( perp(X1,X2,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_132]) ).

cnf(c_0_139,negated_conjecture,
    para(esk23_0,esk26_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_37,c_0_133]) ).

cnf(c_0_140,plain,
    ( perp(X1,X2,X2,X2)
    | ~ circle(X1,X2,X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_114])]) ).

cnf(c_0_141,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_135]) ).

cnf(c_0_142,negated_conjecture,
    para(esk23_0,esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_37,c_0_136]) ).

cnf(c_0_143,plain,
    ( midp(X1,X3,X2)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_137]) ).

cnf(c_0_144,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_75]) ).

cnf(c_0_145,negated_conjecture,
    ( perp(esk23_0,esk26_0,X1,X2)
    | ~ perp(esk24_0,esk21_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_146,negated_conjecture,
    perp(esk24_0,esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_140,c_0_111]) ).

cnf(c_0_147,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_142])]) ).

cnf(c_0_148,negated_conjecture,
    midp(esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_143,c_0_122]) ).

fof(c_0_149,plain,
    ! [X386,X387,X388] :
      ( ~ cong(X386,X387,X386,X388)
      | ~ coll(X386,X387,X388)
      | midp(X386,X387,X388) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

fof(c_0_150,plain,
    ! [X326,X327,X328,X329] :
      ( ~ midp(X328,X326,X327)
      | ~ perp(X329,X328,X326,X327)
      | cong(X329,X326,X329,X327) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_151,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_138,c_0_144]) ).

cnf(c_0_152,negated_conjecture,
    perp(esk23_0,esk26_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_153,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_75]),c_0_75])]) ).

cnf(c_0_154,negated_conjecture,
    midp(esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

fof(c_0_155,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_156,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

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

cnf(c_0_158,negated_conjecture,
    perp(esk26_0,esk23_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_159,negated_conjecture,
    midp(esk23_0,X1,X1),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_160,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_155]) ).

cnf(c_0_161,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_91])]) ).

cnf(c_0_162,negated_conjecture,
    cong(esk26_0,esk21_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159])]) ).

cnf(c_0_163,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_91])]) ).

cnf(c_0_164,negated_conjecture,
    midp(esk26_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_165,negated_conjecture,
    ( midp(X1,X2,X1)
    | ~ midp(X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_163,c_0_75]) ).

cnf(c_0_166,negated_conjecture,
    midp(esk26_0,X1,X1),
    inference(spm,[status(thm)],[c_0_153,c_0_164]) ).

cnf(c_0_167,negated_conjecture,
    midp(X1,esk26_0,X1),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_168,negated_conjecture,
    midp(X1,X1,esk26_0),
    inference(spm,[status(thm)],[c_0_143,c_0_167]) ).

cnf(c_0_169,negated_conjecture,
    cong(X1,X1,X1,esk26_0),
    inference(spm,[status(thm)],[c_0_121,c_0_168]) ).

cnf(c_0_170,negated_conjecture,
    para(X1,X1,X1,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_169]),c_0_75])]) ).

cnf(c_0_171,negated_conjecture,
    ( midp(X1,X2,esk26_0)
    | ~ midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_163,c_0_170]) ).

cnf(c_0_172,negated_conjecture,
    midp(X1,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_171,c_0_167]) ).

cnf(c_0_173,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_153,c_0_172]) ).

cnf(c_0_174,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_165,c_0_173]) ).

fof(c_0_175,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_176,negated_conjecture,
    midp(X1,X2,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_174])]) ).

cnf(c_0_177,plain,
    ( para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_178,negated_conjecture,
    midp(X1,esk26_0,X2),
    inference(spm,[status(thm)],[c_0_143,c_0_176]) ).

cnf(c_0_179,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_178])]) ).

cnf(c_0_180,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_179]),c_0_179])]) ).

cnf(c_0_181,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_180,c_0_178]) ).

cnf(c_0_182,negated_conjecture,
    ~ cong(esk23_0,esk26_0,esk23_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_183,plain,
    cong(X1,X2,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_181])]) ).

cnf(c_0_184,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO594+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n027.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 29 20:58:08 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.59  start to proof: theBenchmark
% 0.56/0.84  % Version  : CSE_E---1.5
% 0.56/0.84  % Problem  : theBenchmark.p
% 0.56/0.84  % Proof found
% 0.56/0.84  % SZS status Theorem for theBenchmark.p
% 0.56/0.84  % SZS output start Proof
% See solution above
% 0.56/0.85  % Total time : 0.233000 s
% 0.56/0.85  % SZS output end Proof
% 0.56/0.85  % Total time : 0.237000 s
%------------------------------------------------------------------------------