TSTP Solution File: GEO651+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO651+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:06:55 EDT 2022

% Result   : Theorem 0.26s 8.44s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   37
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  418 ( 203 unt;   0 def)
%            Number of atoms       :  756 (   0 equ)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives :  598 ( 260   ~; 254   |;  48   &)
%                                         (   0 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  643 (   0 sgn 366   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02212,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X19,X20,X21] :
      ( ( coll(X4,X1,X2)
        & eqangle(X1,X3,X3,X4,X4,X3,X3,X2)
        & midp(X19,X1,X2)
        & perp(X1,X2,X19,X5)
        & midp(X20,X1,X3)
        & perp(X1,X3,X20,X5)
        & midp(X21,X2,X3)
        & perp(X2,X3,X21,X5)
        & perp(X3,X5,X3,X6)
        & para(X1,X3,X6,X4) )
     => cong(X3,X6,X4,X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULLmoreE02212) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

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

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

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

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(ruleD18,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X2,X1,X3,X4,X9,X10,X11,X12) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

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

fof(ruleD65,axiom,
    ! [X1,X2,X3,X4,X8] :
      ( ( para(X1,X2,X3,X4)
        & coll(X8,X1,X3)
        & coll(X8,X2,X4) )
     => eqratio(X8,X1,X1,X3,X8,X2,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD65) ).

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

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

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

fof(ruleD52,axiom,
    ! [X1,X2,X3,X7] :
      ( ( perp(X1,X2,X2,X3)
        & midp(X7,X1,X3) )
     => cong(X1,X7,X2,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X1,X2,X3,X4)
        & cong(X3,X4,X5,X6) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).

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

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

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

fof(ruleD12,axiom,
    ! [X1,X2,X3,X8] :
      ( ( cong(X8,X1,X8,X2)
        & cong(X8,X1,X8,X3) )
     => circle(X8,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).

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

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

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

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

fof(c_0_35,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X19,X20,X21] :
        ( ( coll(X4,X1,X2)
          & eqangle(X1,X3,X3,X4,X4,X3,X3,X2)
          & midp(X19,X1,X2)
          & perp(X1,X2,X19,X5)
          & midp(X20,X1,X3)
          & perp(X1,X3,X20,X5)
          & midp(X21,X2,X3)
          & perp(X2,X3,X21,X5)
          & perp(X3,X5,X3,X6)
          & para(X1,X3,X6,X4) )
       => cong(X3,X6,X4,X2) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02212]) ).

fof(c_0_36,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_37,negated_conjecture,
    ( coll(esk24_0,esk21_0,esk22_0)
    & eqangle(esk21_0,esk23_0,esk23_0,esk24_0,esk24_0,esk23_0,esk23_0,esk22_0)
    & midp(esk27_0,esk21_0,esk22_0)
    & perp(esk21_0,esk22_0,esk27_0,esk25_0)
    & midp(esk28_0,esk21_0,esk23_0)
    & perp(esk21_0,esk23_0,esk28_0,esk25_0)
    & midp(esk29_0,esk22_0,esk23_0)
    & perp(esk22_0,esk23_0,esk29_0,esk25_0)
    & perp(esk23_0,esk25_0,esk23_0,esk26_0)
    & para(esk21_0,esk23_0,esk26_0,esk24_0)
    & ~ cong(esk23_0,esk26_0,esk24_0,esk22_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).

fof(c_0_38,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

cnf(c_0_39,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    perp(esk22_0,esk23_0,esk29_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_41,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    perp(esk23_0,esk25_0,esk23_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_43,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_44,negated_conjecture,
    ( para(X1,X2,esk29_0,esk25_0)
    | ~ perp(X1,X2,esk22_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_45,negated_conjecture,
    perp(esk29_0,esk25_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_41,c_0_40]) ).

cnf(c_0_46,negated_conjecture,
    perp(esk23_0,esk26_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

fof(c_0_47,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_48,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_49,negated_conjecture,
    para(esk29_0,esk25_0,esk29_0,esk25_0),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,negated_conjecture,
    ( para(X1,X2,esk23_0,esk25_0)
    | ~ perp(X1,X2,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_46]) ).

fof(c_0_51,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_52,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk29_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    para(esk23_0,esk25_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_50,c_0_42]) ).

fof(c_0_55,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

fof(c_0_56,plain,
    ! [X5,X6,X7,X8] :
      ( ~ coll(X5,X6,X7)
      | ~ coll(X5,X6,X8)
      | coll(X7,X8,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_57,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_58,negated_conjecture,
    coll(esk25_0,esk29_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,negated_conjecture,
    coll(esk23_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_48,c_0_54]) ).

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

cnf(c_0_61,negated_conjecture,
    midp(esk29_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_62,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk25_0,esk25_0,esk29_0),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_64,negated_conjecture,
    coll(esk25_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    coll(esk29_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    ( coll(X1,esk29_0,esk25_0)
    | ~ coll(esk25_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk25_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_64]) ).

fof(c_0_68,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).

cnf(c_0_69,negated_conjecture,
    perp(esk21_0,esk22_0,esk27_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk29_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_57,c_0_65]) ).

cnf(c_0_71,negated_conjecture,
    coll(esk23_0,esk29_0,esk25_0),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_73,negated_conjecture,
    ( para(X1,X2,esk27_0,esk25_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    perp(esk27_0,esk25_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_41,c_0_69]) ).

cnf(c_0_75,negated_conjecture,
    ( coll(X1,esk22_0,esk29_0)
    | ~ coll(esk29_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    coll(esk29_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_71]) ).

fof(c_0_77,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ para(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

fof(c_0_78,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_79,negated_conjecture,
    perp(esk23_0,esk25_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_72,c_0_42]) ).

cnf(c_0_80,negated_conjecture,
    para(esk27_0,esk25_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_81,negated_conjecture,
    coll(esk25_0,esk22_0,esk29_0),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

fof(c_0_82,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_83,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_84,negated_conjecture,
    para(esk21_0,esk23_0,esk26_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_85,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_86,negated_conjecture,
    ( para(X1,X2,esk23_0,esk26_0)
    | ~ perp(X1,X2,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_42]) ).

cnf(c_0_87,negated_conjecture,
    perp(esk26_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_41,c_0_79]) ).

cnf(c_0_88,negated_conjecture,
    perp(esk23_0,esk26_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_72,c_0_46]) ).

cnf(c_0_89,negated_conjecture,
    midp(esk27_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_90,negated_conjecture,
    coll(esk27_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_48,c_0_80]) ).

cnf(c_0_91,negated_conjecture,
    ( coll(X1,esk25_0,esk25_0)
    | ~ coll(esk25_0,esk29_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_58]) ).

cnf(c_0_92,negated_conjecture,
    coll(esk25_0,esk29_0,esk22_0),
    inference(spm,[status(thm)],[c_0_57,c_0_81]) ).

cnf(c_0_93,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_94,negated_conjecture,
    ( para(X1,X2,esk26_0,esk24_0)
    | ~ para(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_95,negated_conjecture,
    para(esk21_0,esk23_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_85,c_0_84]) ).

cnf(c_0_96,negated_conjecture,
    para(esk26_0,esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_97,negated_conjecture,
    perp(esk25_0,esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_41,c_0_88]) ).

cnf(c_0_98,negated_conjecture,
    coll(esk27_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_60,c_0_89]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk25_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_90]) ).

cnf(c_0_100,negated_conjecture,
    coll(esk22_0,esk25_0,esk25_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    ( para(esk26_0,esk24_0,X1,X2)
    | ~ para(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    para(esk24_0,esk26_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_95]) ).

cnf(c_0_103,negated_conjecture,
    para(esk26_0,esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_85,c_0_96]) ).

cnf(c_0_104,negated_conjecture,
    para(esk25_0,esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_50,c_0_97]) ).

cnf(c_0_105,negated_conjecture,
    coll(esk27_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_98]) ).

cnf(c_0_106,negated_conjecture,
    coll(esk25_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_57,c_0_99]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk25_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_52,c_0_100]) ).

fof(c_0_108,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

fof(c_0_109,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

cnf(c_0_110,negated_conjecture,
    para(esk26_0,esk24_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_111,negated_conjecture,
    coll(esk26_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_48,c_0_103]) ).

cnf(c_0_112,negated_conjecture,
    para(esk25_0,esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_85,c_0_104]) ).

cnf(c_0_113,negated_conjecture,
    coll(esk22_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_105]) ).

cnf(c_0_114,negated_conjecture,
    ( coll(X1,esk27_0,esk25_0)
    | ~ coll(esk25_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_106]) ).

cnf(c_0_115,negated_conjecture,
    coll(esk25_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_57,c_0_107]) ).

fof(c_0_116,plain,
    ! [X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26] :
      ( ~ eqangle(X15,X16,X17,X18,X19,X20,X21,X22)
      | ~ eqangle(X19,X20,X21,X22,X23,X24,X25,X26)
      | eqangle(X15,X16,X17,X18,X23,X24,X25,X26) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).

cnf(c_0_117,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X5,X6,X7,X8,X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_118,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk23_0,esk24_0,esk24_0,esk23_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_119,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_120,negated_conjecture,
    para(esk23_0,esk26_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_86,c_0_46]) ).

cnf(c_0_121,negated_conjecture,
    para(esk24_0,esk26_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_110]) ).

cnf(c_0_122,negated_conjecture,
    coll(esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_111]) ).

cnf(c_0_123,negated_conjecture,
    coll(esk25_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_48,c_0_112]) ).

cnf(c_0_124,negated_conjecture,
    coll(esk24_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_125,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(esk22_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_113]) ).

cnf(c_0_126,negated_conjecture,
    coll(esk22_0,esk27_0,esk25_0),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

fof(c_0_127,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X14,X13,X15,X16,X17,X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD18])]) ).

cnf(c_0_128,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X9,X10,X11,X12,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X9,X10,X11,X12) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_129,negated_conjecture,
    eqangle(esk24_0,esk23_0,esk23_0,esk22_0,esk21_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_130,negated_conjecture,
    eqangle(esk23_0,esk24_0,esk21_0,esk23_0,esk23_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_119,c_0_118]) ).

cnf(c_0_131,negated_conjecture,
    coll(esk23_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_48,c_0_120]) ).

cnf(c_0_132,negated_conjecture,
    para(esk24_0,esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_85,c_0_121]) ).

cnf(c_0_133,negated_conjecture,
    coll(esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_57,c_0_122]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_123]) ).

cnf(c_0_135,negated_conjecture,
    perp(esk21_0,esk23_0,esk28_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_136,negated_conjecture,
    coll(esk21_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_52,c_0_124]) ).

cnf(c_0_137,negated_conjecture,
    coll(esk25_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_138,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X2,X1,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

fof(c_0_139,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
      | para(X11,X12,X13,X14) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).

cnf(c_0_140,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk21_0,esk23_0,esk23_0,esk24_0)
    | ~ eqangle(X1,X2,X3,X4,esk24_0,esk23_0,esk23_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_141,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk23_0,esk22_0,esk24_0,esk23_0)
    | ~ eqangle(X1,X2,X3,X4,esk23_0,esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_130]) ).

cnf(c_0_142,negated_conjecture,
    eqangle(esk23_0,esk22_0,esk24_0,esk23_0,esk23_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_119,c_0_129]) ).

cnf(c_0_143,negated_conjecture,
    coll(esk26_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_131]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk24_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_48,c_0_132]) ).

fof(c_0_145,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqratio(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ cong(X17,X18,X19,X20)
      | cong(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])])]) ).

fof(c_0_146,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ para(X9,X10,X11,X12)
      | ~ coll(X13,X9,X11)
      | ~ coll(X13,X10,X12)
      | eqratio(X13,X9,X9,X11,X13,X10,X10,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD65])]) ).

cnf(c_0_147,negated_conjecture,
    ( coll(X1,esk26_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_133]) ).

cnf(c_0_148,negated_conjecture,
    coll(esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_134]) ).

cnf(c_0_149,negated_conjecture,
    perp(esk21_0,esk23_0,esk25_0,esk28_0),
    inference(spm,[status(thm)],[c_0_72,c_0_135]) ).

fof(c_0_150,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

cnf(c_0_151,negated_conjecture,
    coll(esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_57,c_0_136]) ).

cnf(c_0_152,negated_conjecture,
    coll(esk21_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_52,c_0_137]) ).

cnf(c_0_153,negated_conjecture,
    eqangle(esk23_0,esk21_0,esk23_0,esk24_0,esk24_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_138,c_0_118]) ).

cnf(c_0_154,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_139]) ).

cnf(c_0_155,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk23_0,esk24_0,esk21_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_140,c_0_118]) ).

cnf(c_0_156,negated_conjecture,
    eqangle(esk23_0,esk22_0,esk24_0,esk23_0,esk23_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_157,negated_conjecture,
    coll(esk26_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_143]) ).

cnf(c_0_158,negated_conjecture,
    coll(esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_144]) ).

cnf(c_0_159,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X7,X8)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_160,plain,
    ( eqratio(X1,X2,X2,X3,X1,X4,X4,X5)
    | ~ coll(X1,X4,X5)
    | ~ coll(X1,X2,X3)
    | ~ para(X2,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

fof(c_0_161,plain,
    ! [X9,X10,X11,X12] :
      ( ~ midp(X11,X9,X10)
      | ~ perp(X12,X11,X9,X10)
      | cong(X12,X9,X12,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_162,negated_conjecture,
    coll(esk25_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_163,negated_conjecture,
    perp(esk25_0,esk28_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_41,c_0_149]) ).

cnf(c_0_164,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_165,negated_conjecture,
    midp(esk28_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_166,negated_conjecture,
    coll(esk24_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_124]) ).

cnf(c_0_167,negated_conjecture,
    ( coll(X1,esk24_0,esk21_0)
    | ~ coll(esk21_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_151]) ).

cnf(c_0_168,negated_conjecture,
    coll(esk21_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_152]) ).

cnf(c_0_169,negated_conjecture,
    eqangle(esk23_0,esk21_0,esk23_0,esk24_0,esk21_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_140,c_0_153]) ).

cnf(c_0_170,negated_conjecture,
    para(esk21_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_171,negated_conjecture,
    para(esk23_0,esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_154,c_0_156]) ).

cnf(c_0_172,negated_conjecture,
    ( coll(X1,esk23_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_157]) ).

cnf(c_0_173,negated_conjecture,
    coll(esk26_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_57,c_0_158]) ).

cnf(c_0_174,negated_conjecture,
    perp(esk21_0,esk22_0,esk25_0,esk27_0),
    inference(spm,[status(thm)],[c_0_72,c_0_69]) ).

fof(c_0_175,plain,
    ! [X4,X5,X6] :
      ( ~ cong(X4,X5,X4,X6)
      | ~ coll(X4,X5,X6)
      | midp(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).

cnf(c_0_176,plain,
    ( cong(X1,X2,X2,X3)
    | ~ cong(X1,X4,X4,X5)
    | ~ para(X2,X4,X3,X5)
    | ~ coll(X1,X4,X5)
    | ~ coll(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_177,negated_conjecture,
    ( coll(X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_143]) ).

fof(c_0_178,plain,
    ! [X8,X9,X10,X11] :
      ( ~ perp(X8,X9,X9,X10)
      | ~ midp(X11,X8,X10)
      | cong(X8,X11,X9,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_179,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_161]) ).

cnf(c_0_180,negated_conjecture,
    coll(esk26_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_162]) ).

fof(c_0_181,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ cong(X7,X8,X9,X10)
      | ~ cong(X9,X10,X11,X12)
      | cong(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_182,negated_conjecture,
    perp(esk25_0,esk28_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_72,c_0_163]) ).

cnf(c_0_183,negated_conjecture,
    midp(esk28_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_184,negated_conjecture,
    ( coll(X1,esk21_0,esk24_0)
    | ~ coll(esk24_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_166]) ).

cnf(c_0_185,negated_conjecture,
    coll(esk25_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_186,negated_conjecture,
    para(esk23_0,esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_154,c_0_169]) ).

cnf(c_0_187,negated_conjecture,
    coll(esk21_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_48,c_0_170]) ).

cnf(c_0_188,negated_conjecture,
    ( coll(X1,esk22_0,esk24_0)
    | ~ coll(esk24_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_124]) ).

cnf(c_0_189,negated_conjecture,
    coll(esk23_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_48,c_0_171]) ).

cnf(c_0_190,negated_conjecture,
    coll(esk24_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_191,negated_conjecture,
    para(esk26_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_84]) ).

fof(c_0_192,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).

cnf(c_0_193,negated_conjecture,
    perp(esk25_0,esk27_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_41,c_0_174]) ).

cnf(c_0_194,negated_conjecture,
    perp(esk22_0,esk23_0,esk25_0,esk29_0),
    inference(spm,[status(thm)],[c_0_72,c_0_40]) ).

fof(c_0_195,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ para(X8,X10,X9,X11)
      | ~ para(X8,X11,X9,X10)
      | midp(X12,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).

cnf(c_0_196,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_175]) ).

cnf(c_0_197,negated_conjecture,
    ( cong(X1,esk26_0,esk26_0,esk26_0)
    | ~ cong(X1,esk23_0,esk23_0,esk23_0)
    | ~ coll(X1,esk23_0,esk23_0)
    | ~ coll(X1,esk26_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_103]) ).

cnf(c_0_198,negated_conjecture,
    coll(esk26_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_177,c_0_143]) ).

cnf(c_0_199,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

fof(c_0_200,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ para(X10,X11,X8,X9)
      | ~ coll(X11,X7,X9)
      | midp(X11,X7,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_201,negated_conjecture,
    ( cong(esk26_0,esk23_0,esk26_0,esk25_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_87]) ).

cnf(c_0_202,negated_conjecture,
    coll(esk26_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_180]) ).

cnf(c_0_203,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_204,negated_conjecture,
    cong(esk25_0,esk23_0,esk25_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_182]),c_0_183])]) ).

cnf(c_0_205,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_184,c_0_166]) ).

cnf(c_0_206,negated_conjecture,
    coll(esk25_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_57,c_0_185]) ).

cnf(c_0_207,negated_conjecture,
    para(esk23_0,esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_85,c_0_186]) ).

cnf(c_0_208,negated_conjecture,
    coll(esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_187]) ).

cnf(c_0_209,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_188,c_0_124]) ).

cnf(c_0_210,negated_conjecture,
    coll(esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_52,c_0_189]) ).

cnf(c_0_211,negated_conjecture,
    ( cong(X1,esk24_0,esk24_0,esk21_0)
    | ~ cong(X1,esk26_0,esk26_0,esk23_0)
    | ~ coll(X1,esk26_0,esk23_0)
    | ~ coll(X1,esk24_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_102]) ).

cnf(c_0_212,negated_conjecture,
    coll(esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_167,c_0_151]) ).

cnf(c_0_213,negated_conjecture,
    coll(esk24_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_190]) ).

cnf(c_0_214,negated_conjecture,
    para(esk26_0,esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_85,c_0_191]) ).

fof(c_0_215,plain,
    ! [X9,X10,X11,X12] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ coll(X12,X9,X11)
      | perp(X9,X10,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])])]) ).

fof(c_0_216,plain,
    ! [X9,X10,X11,X12] :
      ( ~ cong(X12,X9,X12,X10)
      | ~ cong(X12,X9,X12,X11)
      | circle(X12,X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).

fof(c_0_217,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cong(X5,X6,X7,X8)
      | cong(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).

cnf(c_0_218,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_192]) ).

cnf(c_0_219,negated_conjecture,
    cong(esk25_0,esk21_0,esk25_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_193]),c_0_89])]) ).

cnf(c_0_220,negated_conjecture,
    perp(esk25_0,esk29_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_41,c_0_194]) ).

cnf(c_0_221,plain,
    ( midp(X1,X2,X3)
    | ~ para(X4,X3,X5,X2)
    | ~ para(X4,X2,X5,X3)
    | ~ midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_195]) ).

cnf(c_0_222,negated_conjecture,
    ( midp(esk26_0,esk26_0,esk26_0)
    | ~ cong(esk26_0,esk23_0,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_111])]) ).

cnf(c_0_223,negated_conjecture,
    ( cong(esk26_0,X1,esk23_0,X1)
    | ~ midp(X1,esk26_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_199,c_0_87]) ).

cnf(c_0_224,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_200]) ).

cnf(c_0_225,negated_conjecture,
    ( midp(esk26_0,esk23_0,esk25_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_201]),c_0_202])]) ).

cnf(c_0_226,negated_conjecture,
    coll(esk25_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_57,c_0_162]) ).

cnf(c_0_227,negated_conjecture,
    ( cong(X1,X2,esk25_0,esk21_0)
    | ~ cong(X1,X2,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_228,negated_conjecture,
    cong(esk25_0,esk21_0,esk25_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_163]),c_0_165])]) ).

cnf(c_0_229,negated_conjecture,
    coll(esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_205]) ).

cnf(c_0_230,negated_conjecture,
    coll(esk21_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_52,c_0_206]) ).

cnf(c_0_231,negated_conjecture,
    coll(esk23_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_207]) ).

cnf(c_0_232,negated_conjecture,
    coll(esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_208]) ).

cnf(c_0_233,negated_conjecture,
    ( coll(X1,esk24_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_209]) ).

cnf(c_0_234,negated_conjecture,
    coll(esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_210]) ).

cnf(c_0_235,negated_conjecture,
    ( midp(esk24_0,esk24_0,esk21_0)
    | ~ cong(esk24_0,esk26_0,esk26_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_211]),c_0_212]),c_0_213])]) ).

cnf(c_0_236,negated_conjecture,
    ( cong(X1,esk26_0,esk26_0,esk23_0)
    | ~ cong(X1,esk23_0,esk23_0,esk26_0)
    | ~ coll(X1,esk23_0,esk26_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_96]),c_0_57]) ).

cnf(c_0_237,negated_conjecture,
    para(esk23_0,esk21_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_93,c_0_214]) ).

fof(c_0_238,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | cong(X4,X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).

cnf(c_0_239,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_215]) ).

cnf(c_0_240,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_216]) ).

cnf(c_0_241,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_217]) ).

cnf(c_0_242,negated_conjecture,
    cong(esk25_0,esk21_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_243,negated_conjecture,
    perp(esk25_0,esk29_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_72,c_0_220]) ).

cnf(c_0_244,negated_conjecture,
    midp(esk29_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_164,c_0_61]) ).

cnf(c_0_245,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk26_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_103]),c_0_103])]) ).

cnf(c_0_246,negated_conjecture,
    ( midp(esk26_0,esk26_0,esk26_0)
    | ~ midp(esk23_0,esk26_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_247,negated_conjecture,
    ( midp(esk23_0,X1,esk26_0)
    | ~ midp(esk26_0,X1,esk23_0)
    | ~ coll(esk23_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_96]) ).

cnf(c_0_248,negated_conjecture,
    ( midp(esk26_0,esk25_0,esk23_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_225]) ).

cnf(c_0_249,negated_conjecture,
    coll(esk23_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_226]) ).

cnf(c_0_250,negated_conjecture,
    cong(esk25_0,esk21_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_251,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_229]) ).

cnf(c_0_252,negated_conjecture,
    coll(esk21_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_57,c_0_230]) ).

cnf(c_0_253,negated_conjecture,
    coll(esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_231]) ).

cnf(c_0_254,negated_conjecture,
    coll(esk21_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_147,c_0_232]) ).

cnf(c_0_255,negated_conjecture,
    coll(esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_233,c_0_234]) ).

cnf(c_0_256,negated_conjecture,
    ( midp(esk24_0,esk24_0,esk21_0)
    | ~ cong(esk24_0,esk23_0,esk23_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_190])]) ).

cnf(c_0_257,negated_conjecture,
    ( cong(X1,esk23_0,esk23_0,esk26_0)
    | ~ cong(X1,esk21_0,esk21_0,esk24_0)
    | ~ coll(X1,esk21_0,esk24_0)
    | ~ coll(X1,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_237]) ).

cnf(c_0_258,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_57,c_0_212]) ).

cnf(c_0_259,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_238]) ).

cnf(c_0_260,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cong(X4,X1,X4,X3)
    | ~ cong(X4,X1,X4,X2)
    | ~ coll(X4,X1,X3) ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_261,negated_conjecture,
    ( cong(esk25_0,esk23_0,esk25_0,esk26_0)
    | ~ midp(esk23_0,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_97]) ).

cnf(c_0_262,negated_conjecture,
    cong(esk22_0,esk25_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_263,negated_conjecture,
    cong(esk25_0,esk23_0,esk25_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_243]),c_0_244])]) ).

cnf(c_0_264,negated_conjecture,
    ( midp(esk26_0,esk23_0,esk23_0)
    | ~ midp(esk23_0,esk26_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_245,c_0_246]) ).

cnf(c_0_265,negated_conjecture,
    ( midp(esk23_0,esk25_0,esk26_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249])]) ).

cnf(c_0_266,negated_conjecture,
    ( midp(esk25_0,esk21_0,esk21_0)
    | ~ coll(esk25_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_196,c_0_250]) ).

cnf(c_0_267,negated_conjecture,
    coll(esk25_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_251,c_0_252]) ).

cnf(c_0_268,negated_conjecture,
    ( midp(esk23_0,X1,esk23_0)
    | ~ midp(esk26_0,X1,esk26_0)
    | ~ coll(esk23_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_103]) ).

cnf(c_0_269,negated_conjecture,
    eqangle(esk24_0,esk23_0,esk21_0,esk23_0,esk23_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_138,c_0_130]) ).

cnf(c_0_270,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_253]) ).

cnf(c_0_271,negated_conjecture,
    coll(esk21_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_57,c_0_254]) ).

cnf(c_0_272,negated_conjecture,
    coll(esk28_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_60,c_0_165]) ).

cnf(c_0_273,negated_conjecture,
    coll(esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_52,c_0_255]) ).

cnf(c_0_274,negated_conjecture,
    ( midp(esk24_0,esk24_0,esk21_0)
    | ~ cong(esk24_0,esk21_0,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]),c_0_190])]) ).

cnf(c_0_275,plain,
    ( cong(X1,X2,X3,X1)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_218,c_0_259]) ).

cnf(c_0_276,negated_conjecture,
    ( perp(esk23_0,X1,X1,esk26_0)
    | ~ cong(esk25_0,esk23_0,esk25_0,X1)
    | ~ midp(esk23_0,esk23_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_226])]) ).

cnf(c_0_277,negated_conjecture,
    ( cong(X1,X2,esk25_0,esk21_0)
    | ~ cong(X1,X2,esk22_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_203,c_0_262]) ).

cnf(c_0_278,negated_conjecture,
    cong(esk25_0,esk23_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_218,c_0_263]) ).

cnf(c_0_279,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk26_0)
    | ~ midp(esk23_0,esk26_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_264]),c_0_133])]) ).

cnf(c_0_280,negated_conjecture,
    ( midp(esk23_0,esk26_0,esk25_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_265]) ).

cnf(c_0_281,negated_conjecture,
    ( midp(esk23_0,X1,esk25_0)
    | ~ midp(esk25_0,X1,esk23_0)
    | ~ coll(esk23_0,X1,esk25_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_104]) ).

cnf(c_0_282,negated_conjecture,
    ( midp(X1,esk23_0,esk23_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_170]),c_0_170])]) ).

cnf(c_0_283,negated_conjecture,
    midp(esk25_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_267])]) ).

cnf(c_0_284,negated_conjecture,
    ( midp(esk23_0,esk26_0,esk23_0)
    | ~ midp(esk23_0,esk26_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_246]),c_0_122])]) ).

cnf(c_0_285,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk24_0,esk23_0,esk24_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_119,c_0_269]) ).

cnf(c_0_286,negated_conjecture,
    eqangle(esk23_0,esk24_0,esk21_0,esk23_0,esk23_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_119,c_0_155]) ).

cnf(c_0_287,negated_conjecture,
    coll(esk26_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_288,negated_conjecture,
    coll(esk21_0,esk28_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_272]) ).

cnf(c_0_289,negated_conjecture,
    coll(esk24_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_273]) ).

cnf(c_0_290,negated_conjecture,
    ( midp(esk26_0,X1,esk23_0)
    | ~ midp(esk24_0,X1,esk21_0)
    | ~ coll(esk26_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_102]) ).

cnf(c_0_291,negated_conjecture,
    ( midp(esk24_0,esk24_0,esk21_0)
    | ~ midp(esk24_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_292,negated_conjecture,
    coll(esk26_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_213]) ).

cnf(c_0_293,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk21_0,esk26_0)
    | ~ midp(esk23_0,esk23_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_278])]) ).

cnf(c_0_294,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk26_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_279,c_0_280]) ).

cnf(c_0_295,negated_conjecture,
    midp(esk23_0,esk23_0,esk25_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_148]),c_0_283])]) ).

cnf(c_0_296,negated_conjecture,
    ( midp(esk23_0,esk26_0,esk23_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_284,c_0_280]) ).

cnf(c_0_297,negated_conjecture,
    eqangle(esk23_0,esk24_0,esk23_0,esk21_0,esk23_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_119,c_0_153]) ).

cnf(c_0_298,negated_conjecture,
    ( cong(esk23_0,esk25_0,esk23_0,esk23_0)
    | ~ midp(esk26_0,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_88]) ).

cnf(c_0_299,negated_conjecture,
    eqangle(esk21_0,esk23_0,esk24_0,esk23_0,esk21_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_140,c_0_285]) ).

cnf(c_0_300,negated_conjecture,
    para(esk23_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_154,c_0_286]) ).

cnf(c_0_301,negated_conjecture,
    coll(esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_287]) ).

cnf(c_0_302,negated_conjecture,
    ( midp(esk26_0,esk26_0,esk23_0)
    | ~ cong(esk26_0,esk23_0,esk23_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_236]),c_0_157]),c_0_143])]) ).

cnf(c_0_303,negated_conjecture,
    coll(esk21_0,esk23_0,esk28_0),
    inference(spm,[status(thm)],[c_0_57,c_0_288]) ).

cnf(c_0_304,negated_conjecture,
    coll(esk23_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_184,c_0_289]) ).

cnf(c_0_305,negated_conjecture,
    ( midp(esk26_0,esk24_0,esk23_0)
    | ~ midp(esk24_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292])]) ).

cnf(c_0_306,negated_conjecture,
    ( midp(esk24_0,X1,esk21_0)
    | ~ midp(esk26_0,X1,esk23_0)
    | ~ coll(esk24_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_214]) ).

cnf(c_0_307,negated_conjecture,
    coll(esk24_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_229]) ).

cnf(c_0_308,negated_conjecture,
    ( perp(esk23_0,esk21_0,esk26_0,esk21_0)
    | ~ midp(esk23_0,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_72,c_0_293]) ).

cnf(c_0_309,negated_conjecture,
    midp(esk23_0,esk23_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_295])]) ).

cnf(c_0_310,negated_conjecture,
    ( midp(esk21_0,X1,esk21_0)
    | ~ midp(esk23_0,X1,esk23_0)
    | ~ coll(esk21_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_207]) ).

cnf(c_0_311,negated_conjecture,
    midp(esk23_0,esk26_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_296,c_0_295])]) ).

cnf(c_0_312,negated_conjecture,
    eqangle(esk23_0,esk22_0,esk24_0,esk23_0,esk23_0,esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_117,c_0_297]) ).

cnf(c_0_313,negated_conjecture,
    ( cong(X1,X2,esk23_0,esk23_0)
    | ~ cong(X1,X2,esk23_0,esk25_0)
    | ~ midp(esk26_0,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_203,c_0_298]) ).

cnf(c_0_314,negated_conjecture,
    ( cong(esk23_0,esk23_0,esk23_0,esk25_0)
    | ~ midp(esk26_0,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_241,c_0_298]) ).

cnf(c_0_315,negated_conjecture,
    ( coll(X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_122]) ).

cnf(c_0_316,negated_conjecture,
    eqangle(esk24_0,esk23_0,esk21_0,esk23_0,esk23_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_119,c_0_299]) ).

cnf(c_0_317,negated_conjecture,
    coll(esk23_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_300]) ).

cnf(c_0_318,negated_conjecture,
    ( coll(X1,esk24_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_205]) ).

cnf(c_0_319,negated_conjecture,
    coll(esk21_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_57,c_0_301]) ).

cnf(c_0_320,negated_conjecture,
    ( midp(esk26_0,esk26_0,esk23_0)
    | ~ midp(esk26_0,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_302,c_0_275]) ).

cnf(c_0_321,negated_conjecture,
    ( coll(X1,esk28_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_303]) ).

cnf(c_0_322,negated_conjecture,
    coll(esk21_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_52,c_0_304]) ).

cnf(c_0_323,negated_conjecture,
    ( midp(esk26_0,esk24_0,esk23_0)
    | ~ midp(esk26_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_306]),c_0_307])]) ).

cnf(c_0_324,negated_conjecture,
    coll(esk23_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_190]) ).

cnf(c_0_325,negated_conjecture,
    para(esk23_0,esk26_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_93,c_0_96]) ).

cnf(c_0_326,negated_conjecture,
    perp(esk23_0,esk21_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_309])]) ).

cnf(c_0_327,negated_conjecture,
    midp(esk21_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_301])]) ).

cnf(c_0_328,negated_conjecture,
    coll(esk23_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_52,c_0_271]) ).

fof(c_0_329,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_330,negated_conjecture,
    eqangle(esk22_0,esk23_0,esk24_0,esk23_0,esk23_0,esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_138,c_0_312]) ).

cnf(c_0_331,negated_conjecture,
    ( cong(esk23_0,esk23_0,esk23_0,esk23_0)
    | ~ midp(esk26_0,esk25_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_332,negated_conjecture,
    coll(esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_315,c_0_122]) ).

cnf(c_0_333,negated_conjecture,
    para(esk24_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_154,c_0_316]) ).

cnf(c_0_334,negated_conjecture,
    coll(esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_52,c_0_317]) ).

cnf(c_0_335,negated_conjecture,
    coll(esk26_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_318,c_0_319]) ).

cnf(c_0_336,negated_conjecture,
    ( midp(esk23_0,esk26_0,esk26_0)
    | ~ midp(esk26_0,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_320]),c_0_131])]) ).

cnf(c_0_337,negated_conjecture,
    coll(esk24_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_338,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk26_0)
    | ~ midp(esk26_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_323]),c_0_324])]) ).

cnf(c_0_339,negated_conjecture,
    ( midp(esk26_0,X1,esk23_0)
    | ~ midp(esk23_0,X1,esk26_0)
    | ~ coll(esk26_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_325]) ).

cnf(c_0_340,negated_conjecture,
    coll(esk26_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_254]) ).

cnf(c_0_341,negated_conjecture,
    cong(esk23_0,esk26_0,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_326]),c_0_327])]) ).

cnf(c_0_342,negated_conjecture,
    coll(esk23_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_328]) ).

fof(c_0_343,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ para(X17,X18,X19,X20)
      | para(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])])]) ).

cnf(c_0_344,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_329]) ).

cnf(c_0_345,negated_conjecture,
    eqangle(esk23_0,esk24_0,esk23_0,esk21_0,esk22_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_117,c_0_330]) ).

cnf(c_0_346,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk23_0)
    | ~ midp(esk26_0,esk25_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_331]),c_0_332])]) ).

fof(c_0_347,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ midp(X11,X7,X9)
      | para(X10,X11,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_348,negated_conjecture,
    ( cong(X1,esk24_0,esk24_0,esk23_0)
    | ~ cong(X1,esk23_0,esk23_0,esk24_0)
    | ~ coll(X1,esk23_0,esk24_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_333]),c_0_57]) ).

cnf(c_0_349,negated_conjecture,
    coll(esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_334]) ).

cnf(c_0_350,negated_conjecture,
    para(esk23_0,esk21_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_85,c_0_237]) ).

cnf(c_0_351,negated_conjecture,
    coll(esk24_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_335]) ).

cnf(c_0_352,negated_conjecture,
    ( midp(esk23_0,esk26_0,esk26_0)
    | ~ midp(esk23_0,esk26_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_336,c_0_264]) ).

cnf(c_0_353,negated_conjecture,
    coll(esk28_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_337]) ).

cnf(c_0_354,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_241,c_0_259]) ).

cnf(c_0_355,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk26_0)
    | ~ midp(esk23_0,esk21_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340])]) ).

cnf(c_0_356,negated_conjecture,
    midp(esk23_0,esk26_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_341]),c_0_342])]) ).

cnf(c_0_357,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_343]) ).

cnf(c_0_358,negated_conjecture,
    eqangle(esk23_0,esk24_0,esk22_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_344,c_0_345]) ).

fof(c_0_359,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ midp(X12,X10,X11)
      | para(X8,X10,X9,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).

cnf(c_0_360,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk23_0)
    | ~ midp(esk23_0,esk25_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_339]),c_0_180])]) ).

cnf(c_0_361,negated_conjecture,
    ( midp(esk23_0,X1,esk26_0)
    | ~ midp(esk21_0,X1,esk24_0)
    | ~ coll(esk23_0,X1,esk26_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_95]) ).

cnf(c_0_362,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_363,negated_conjecture,
    coll(esk23_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_304]) ).

cnf(c_0_364,negated_conjecture,
    ( midp(X1,esk21_0,esk21_0)
    | ~ midp(X1,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_207]),c_0_207])]) ).

cnf(c_0_365,negated_conjecture,
    ( midp(esk24_0,esk24_0,esk23_0)
    | ~ cong(esk24_0,esk23_0,esk23_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_348]),c_0_349]),c_0_334])]) ).

cnf(c_0_366,negated_conjecture,
    ( cong(X1,esk23_0,esk23_0,esk24_0)
    | ~ cong(X1,esk21_0,esk21_0,esk26_0)
    | ~ coll(X1,esk21_0,esk26_0)
    | ~ coll(X1,esk23_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_350]) ).

cnf(c_0_367,negated_conjecture,
    coll(esk24_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_57,c_0_351]) ).

cnf(c_0_368,negated_conjecture,
    ( midp(esk23_0,esk26_0,esk26_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_352,c_0_280]) ).

cnf(c_0_369,negated_conjecture,
    coll(esk26_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_57,c_0_335]) ).

cnf(c_0_370,negated_conjecture,
    ( coll(X1,esk23_0,esk28_0)
    | ~ coll(esk28_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_272]) ).

cnf(c_0_371,negated_conjecture,
    coll(esk28_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_57,c_0_353]) ).

cnf(c_0_372,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X3,X5)
    | ~ midp(X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_203,c_0_354]) ).

cnf(c_0_373,negated_conjecture,
    ( midp(esk23_0,esk26_0,esk24_0)
    | ~ midp(esk23_0,esk21_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_355]) ).

cnf(c_0_374,negated_conjecture,
    midp(esk23_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_164,c_0_356]) ).

cnf(c_0_375,negated_conjecture,
    ( para(esk23_0,esk24_0,esk22_0,esk23_0)
    | ~ para(esk23_0,esk21_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_376,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_359]) ).

cnf(c_0_377,negated_conjecture,
    ( midp(esk22_0,X1,esk22_0)
    | ~ midp(esk23_0,X1,esk23_0)
    | ~ coll(esk22_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_171]) ).

cnf(c_0_378,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk23_0)
    | ~ midp(esk21_0,esk25_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_249])]) ).

cnf(c_0_379,negated_conjecture,
    ( midp(esk21_0,X1,esk24_0)
    | ~ midp(esk23_0,X1,esk26_0)
    | ~ coll(esk21_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_237]) ).

cnf(c_0_380,negated_conjecture,
    ( para(X1,esk28_0,X2,esk23_0)
    | ~ midp(X1,esk21_0,X2) ),
    inference(spm,[status(thm)],[c_0_362,c_0_165]) ).

cnf(c_0_381,negated_conjecture,
    coll(esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_52,c_0_363]) ).

cnf(c_0_382,negated_conjecture,
    ( midp(esk26_0,esk21_0,esk21_0)
    | ~ midp(esk23_0,esk23_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_339]),c_0_111])]) ).

cnf(c_0_383,negated_conjecture,
    ( midp(esk24_0,esk24_0,esk23_0)
    | ~ cong(esk24_0,esk21_0,esk21_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_367]),c_0_334])]) ).

cnf(c_0_384,plain,
    ( cong(X1,X2,X2,X3)
    | ~ midp(X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_275]) ).

cnf(c_0_385,negated_conjecture,
    midp(esk23_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_295])]) ).

cnf(c_0_386,negated_conjecture,
    coll(esk21_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_52,c_0_369]) ).

cnf(c_0_387,negated_conjecture,
    coll(esk24_0,esk23_0,esk28_0),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_388,negated_conjecture,
    ~ cong(esk23_0,esk26_0,esk24_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_389,plain,
    ( cong(X1,X2,X3,X4)
    | ~ midp(X3,X4,X1)
    | ~ midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_372,c_0_275]) ).

cnf(c_0_390,negated_conjecture,
    midp(esk23_0,esk26_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_374])]) ).

cnf(c_0_391,negated_conjecture,
    para(esk23_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_85,c_0_300]) ).

cnf(c_0_392,negated_conjecture,
    ( para(esk22_0,esk23_0,esk23_0,esk24_0)
    | ~ para(esk23_0,esk21_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_375]) ).

cnf(c_0_393,negated_conjecture,
    ( para(X1,esk21_0,X2,esk23_0)
    | ~ midp(esk28_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_376,c_0_165]) ).

cnf(c_0_394,negated_conjecture,
    ( midp(esk22_0,esk23_0,esk22_0)
    | ~ midp(esk21_0,esk25_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_378]),c_0_210])]) ).

cnf(c_0_395,negated_conjecture,
    ( midp(esk21_0,esk25_0,esk24_0)
    | ~ midp(esk23_0,esk23_0,esk25_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_265]),c_0_230])]) ).

cnf(c_0_396,negated_conjecture,
    ( midp(esk28_0,X1,esk23_0)
    | ~ midp(X2,esk21_0,X3)
    | ~ midp(X2,X1,X3)
    | ~ coll(esk28_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_380]) ).

cnf(c_0_397,negated_conjecture,
    ( midp(esk24_0,X1,esk23_0)
    | ~ midp(esk26_0,X1,esk21_0)
    | ~ coll(esk24_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_191]) ).

cnf(c_0_398,negated_conjecture,
    coll(esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_381]) ).

cnf(c_0_399,negated_conjecture,
    midp(esk26_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_309])]) ).

cnf(c_0_400,negated_conjecture,
    ( midp(esk24_0,esk24_0,esk23_0)
    | ~ midp(esk21_0,esk26_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_383,c_0_384]) ).

cnf(c_0_401,negated_conjecture,
    midp(esk21_0,esk26_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_385]),c_0_386])]) ).

cnf(c_0_402,negated_conjecture,
    coll(esk24_0,esk28_0,esk23_0),
    inference(spm,[status(thm)],[c_0_57,c_0_387]) ).

cnf(c_0_403,negated_conjecture,
    ~ midp(esk24_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_389]),c_0_390])]) ).

cnf(c_0_404,negated_conjecture,
    ( midp(esk24_0,X1,esk23_0)
    | ~ midp(esk23_0,X1,esk24_0)
    | ~ coll(esk24_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_391]) ).

cnf(c_0_405,negated_conjecture,
    ( para(esk22_0,esk23_0,esk23_0,esk24_0)
    | ~ midp(esk28_0,esk23_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_406,negated_conjecture,
    ( midp(esk22_0,esk22_0,esk23_0)
    | ~ midp(esk21_0,esk25_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_394]) ).

cnf(c_0_407,negated_conjecture,
    midp(esk21_0,esk25_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_295])]) ).

cnf(c_0_408,negated_conjecture,
    ( midp(esk28_0,X1,esk23_0)
    | ~ midp(esk24_0,X1,esk23_0)
    | ~ coll(esk28_0,X1,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_397]),c_0_398])]),c_0_399])]) ).

cnf(c_0_409,negated_conjecture,
    midp(esk24_0,esk24_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_400,c_0_401])]) ).

cnf(c_0_410,negated_conjecture,
    coll(esk28_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_52,c_0_402]) ).

cnf(c_0_411,negated_conjecture,
    ~ midp(esk23_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_289])]) ).

cnf(c_0_412,negated_conjecture,
    ( midp(esk23_0,X1,esk24_0)
    | ~ midp(esk28_0,esk23_0,esk24_0)
    | ~ midp(esk22_0,X1,esk23_0)
    | ~ coll(esk23_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_224,c_0_405]) ).

cnf(c_0_413,negated_conjecture,
    midp(esk22_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_407])]) ).

cnf(c_0_414,negated_conjecture,
    coll(esk23_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_57,c_0_255]) ).

cnf(c_0_415,negated_conjecture,
    midp(esk28_0,esk24_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_410])]) ).

cnf(c_0_416,negated_conjecture,
    ~ midp(esk28_0,esk23_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_413]),c_0_414])]) ).

cnf(c_0_417,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_415]),c_0_416]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO651+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 17 19:28:04 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.26/8.44  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.26/8.44  # Preprocessing time       : 0.022 s
% 0.26/8.44  
% 0.26/8.44  # Proof found!
% 0.26/8.44  # SZS status Theorem
% 0.26/8.44  # SZS output start CNFRefutation
% See solution above
% 0.26/8.44  # Proof object total steps             : 418
% 0.26/8.44  # Proof object clause steps            : 347
% 0.26/8.44  # Proof object formula steps           : 71
% 0.26/8.44  # Proof object conjectures             : 309
% 0.26/8.44  # Proof object clause conjectures      : 306
% 0.26/8.44  # Proof object formula conjectures     : 3
% 0.26/8.44  # Proof object initial clauses used    : 45
% 0.26/8.44  # Proof object initial formulas used   : 35
% 0.26/8.44  # Proof object generating inferences   : 292
% 0.26/8.44  # Proof object simplifying inferences  : 115
% 0.26/8.44  # Training examples: 0 positive, 0 negative
% 0.26/8.44  # Parsed axioms                        : 95
% 0.26/8.44  # Removed by relevancy pruning/SinE    : 0
% 0.26/8.44  # Initial clauses                      : 124
% 0.26/8.44  # Removed in clause preprocessing      : 0
% 0.26/8.44  # Initial clauses in saturation        : 124
% 0.26/8.44  # Processed clauses                    : 30740
% 0.26/8.44  # ...of these trivial                  : 3185
% 0.26/8.44  # ...subsumed                          : 12066
% 0.26/8.44  # ...remaining for further processing  : 15489
% 0.26/8.44  # Other redundant clauses eliminated   : 0
% 0.26/8.44  # Clauses deleted for lack of memory   : 222104
% 0.26/8.44  # Backward-subsumed                    : 867
% 0.26/8.44  # Backward-rewritten                   : 4095
% 0.26/8.44  # Generated clauses                    : 418391
% 0.26/8.44  # ...of the previous two non-trivial   : 398723
% 0.26/8.44  # Contextual simplify-reflections      : 579
% 0.26/8.44  # Paramodulations                      : 417633
% 0.26/8.44  # Factorizations                       : 0
% 0.26/8.44  # Equation resolutions                 : 0
% 0.26/8.44  # Current number of processed clauses  : 10277
% 0.26/8.44  #    Positive orientable unit clauses  : 3116
% 0.26/8.44  #    Positive unorientable unit clauses: 0
% 0.26/8.44  #    Negative unit clauses             : 9
% 0.26/8.44  #    Non-unit-clauses                  : 7152
% 0.26/8.44  # Current number of unprocessed clauses: 94061
% 0.26/8.44  # ...number of literals in the above   : 285776
% 0.26/8.44  # Current number of archived formulas  : 0
% 0.26/8.44  # Current number of archived clauses   : 4962
% 0.26/8.44  # Clause-clause subsumption calls (NU) : 7059710
% 0.26/8.44  # Rec. Clause-clause subsumption calls : 4799173
% 0.26/8.44  # Non-unit clause-clause subsumptions  : 12780
% 0.26/8.44  # Unit Clause-clause subsumption calls : 918424
% 0.26/8.44  # Rewrite failures with RHS unbound    : 0
% 0.26/8.44  # BW rewrite match attempts            : 119490
% 0.26/8.44  # BW rewrite match successes           : 577
% 0.26/8.44  # Condensation attempts                : 0
% 0.26/8.44  # Condensation successes               : 0
% 0.26/8.44  # Termbank termtop insertions          : 6777528
% 0.26/8.44  
% 0.26/8.44  # -------------------------------------------------
% 0.26/8.44  # User time                : 7.391 s
% 0.26/8.44  # System time              : 0.111 s
% 0.26/8.44  # Total time               : 7.502 s
% 0.26/8.44  # Maximum resident set size: 140812 pages
% 0.26/23.41  eprover: CPU time limit exceeded, terminating
% 0.26/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.43  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.44  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.45  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.46  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.48  eprover: No such file or directory
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------