TSTP Solution File: GEO553+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO553+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n007.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 04:06:19 EDT 2022

% Result   : Theorem 0.29s 10.48s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  408 ( 161 unt;   0 def)
%            Number of atoms       :  779 (   0 equ)
%            Maximal formula atoms :   11 (   1 avg)
%            Number of connectives :  659 ( 288   ~; 285   |;  50   &)
%                                         (   0 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  578 (   6 sgn 320   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012013,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14] :
      ( ( para(X1,X2,X3,X4)
        & para(X1,X3,X2,X4)
        & perp(X5,X2,X1,X3)
        & coll(X5,X1,X3)
        & perp(X6,X1,X2,X4)
        & coll(X6,X2,X4)
        & perp(X13,X4,X1,X3)
        & coll(X13,X1,X3)
        & perp(X14,X3,X2,X4)
        & coll(X14,X2,X4) )
     => para(X5,X6,X13,X14) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULL012013) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

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

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(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

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

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(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(ruleD43,axiom,
    ! [X1,X2,X3,X9,X10,X15] :
      ( ( cyclic(X1,X2,X3,X9)
        & cyclic(X1,X2,X3,X10)
        & cyclic(X1,X2,X3,X15)
        & eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
     => cong(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).

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

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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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(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(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(ruleD74,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & perp(X9,X10,X11,X12) )
     => perp(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

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(ruleD42a,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & ~ coll(X9,X10,X1) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

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

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

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(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(c_0_35,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14] :
        ( ( para(X1,X2,X3,X4)
          & para(X1,X3,X2,X4)
          & perp(X5,X2,X1,X3)
          & coll(X5,X1,X3)
          & perp(X6,X1,X2,X4)
          & coll(X6,X2,X4)
          & perp(X13,X4,X1,X3)
          & coll(X13,X1,X3)
          & perp(X14,X3,X2,X4)
          & coll(X14,X2,X4) )
       => para(X5,X6,X13,X14) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012013]) ).

fof(c_0_36,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | ~ coll(X13,X14,X12)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_37,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

fof(c_0_38,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_39,negated_conjecture,
    ( para(esk21_0,esk22_0,esk23_0,esk24_0)
    & para(esk21_0,esk23_0,esk22_0,esk24_0)
    & perp(esk25_0,esk22_0,esk21_0,esk23_0)
    & coll(esk25_0,esk21_0,esk23_0)
    & perp(esk26_0,esk21_0,esk22_0,esk24_0)
    & coll(esk26_0,esk22_0,esk24_0)
    & perp(esk27_0,esk24_0,esk21_0,esk23_0)
    & coll(esk27_0,esk21_0,esk23_0)
    & perp(esk28_0,esk23_0,esk22_0,esk24_0)
    & coll(esk28_0,esk22_0,esk24_0)
    & ~ para(esk25_0,esk26_0,esk27_0,esk28_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

fof(c_0_40,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])]) ).

fof(c_0_41,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

fof(c_0_42,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
      | para(X11,X12,X13,X14) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).

fof(c_0_43,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cyclic(X11,X12,X13,X14)
      | eqangle(X13,X11,X13,X12,X14,X11,X14,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

cnf(c_0_44,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_45,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_46,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_47,negated_conjecture,
    para(esk21_0,esk22_0,esk23_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_48,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

fof(c_0_49,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_50,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_51,negated_conjecture,
    coll(esk27_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_52,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_53,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_54,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_55,negated_conjecture,
    ( para(X1,X2,esk23_0,esk24_0)
    | ~ para(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_56,negated_conjecture,
    para(esk23_0,esk24_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_48,c_0_47]) ).

cnf(c_0_57,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_58,negated_conjecture,
    coll(esk21_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_59,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_60,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_61,negated_conjecture,
    ( cyclic(esk24_0,X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_62,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_63,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

fof(c_0_64,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_65,negated_conjecture,
    ( para(esk23_0,esk24_0,esk23_0,esk24_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,negated_conjecture,
    coll(esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_62,c_0_58]) ).

cnf(c_0_67,negated_conjecture,
    coll(esk27_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_63,c_0_51]) ).

cnf(c_0_68,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_69,negated_conjecture,
    para(esk23_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_70,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_71,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_72,negated_conjecture,
    ( coll(X1,esk21_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_67]) ).

cnf(c_0_73,negated_conjecture,
    para(esk23_0,esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_74,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_75,negated_conjecture,
    perp(esk27_0,esk24_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_76,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk21_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_72,c_0_67]) ).

fof(c_0_78,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_79,negated_conjecture,
    para(esk24_0,esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_73]) ).

cnf(c_0_80,negated_conjecture,
    ( para(X1,X2,esk21_0,esk23_0)
    | ~ perp(X1,X2,esk27_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_81,negated_conjecture,
    perp(esk21_0,esk23_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_76,c_0_75]) ).

cnf(c_0_82,negated_conjecture,
    coll(esk21_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_63,c_0_77]) ).

cnf(c_0_83,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_84,negated_conjecture,
    para(esk24_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_68,c_0_79]) ).

cnf(c_0_85,negated_conjecture,
    ( cyclic(esk23_0,X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_80]),c_0_81])]) ).

cnf(c_0_86,negated_conjecture,
    coll(esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_62,c_0_82]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk24_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_88,negated_conjecture,
    ( para(esk21_0,esk23_0,esk21_0,esk23_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_85]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_63,c_0_86]) ).

cnf(c_0_90,negated_conjecture,
    coll(esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_87]) ).

cnf(c_0_91,negated_conjecture,
    coll(esk28_0,esk22_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_92,negated_conjecture,
    para(esk21_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk23_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_83,c_0_69]) ).

cnf(c_0_94,negated_conjecture,
    ( coll(X1,esk21_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_66]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk23_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_63,c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk22_0,esk28_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_91]) ).

cnf(c_0_97,negated_conjecture,
    para(esk21_0,esk23_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_68,c_0_92]) ).

cnf(c_0_98,negated_conjecture,
    coll(esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_93]) ).

cnf(c_0_99,negated_conjecture,
    coll(esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_100,negated_conjecture,
    ( coll(X1,esk24_0,esk22_0)
    | ~ coll(esk22_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_96]) ).

fof(c_0_101,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ cyclic(X16,X17,X18,X19)
      | ~ cyclic(X16,X17,X18,X20)
      | ~ cyclic(X16,X17,X18,X21)
      | ~ eqangle(X18,X16,X18,X17,X21,X19,X21,X20)
      | cong(X16,X17,X19,X20) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])])]) ).

fof(c_0_102,plain,
    ! [X9,X10,X11] :
      ( ~ cong(X11,X9,X11,X10)
      | eqangle(X11,X9,X9,X10,X9,X10,X11,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).

fof(c_0_103,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X6,X5,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_104,negated_conjecture,
    para(esk23_0,esk21_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_48,c_0_97]) ).

cnf(c_0_105,negated_conjecture,
    para(esk21_0,esk23_0,esk22_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_106,negated_conjecture,
    ( coll(X1,esk24_0,esk24_0)
    | ~ coll(esk24_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_98]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_63,c_0_99]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_100,c_0_96]) ).

cnf(c_0_109,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4)
    | ~ cyclic(X1,X2,X5,X6)
    | ~ cyclic(X1,X2,X5,X4)
    | ~ cyclic(X1,X2,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_110,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_111,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_112,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_82]) ).

fof(c_0_113,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_114,negated_conjecture,
    para(esk23_0,esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_68,c_0_104]) ).

cnf(c_0_115,negated_conjecture,
    para(esk21_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_68,c_0_47]) ).

fof(c_0_116,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_117,negated_conjecture,
    para(esk21_0,esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_68,c_0_105]) ).

fof(c_0_118,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_119,negated_conjecture,
    para(esk22_0,esk24_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_48,c_0_105]) ).

cnf(c_0_120,negated_conjecture,
    coll(esk21_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_121,negated_conjecture,
    ( coll(X1,esk22_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_108]) ).

cnf(c_0_122,negated_conjecture,
    coll(esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_63,c_0_98]) ).

cnf(c_0_123,plain,
    ( cong(X1,X2,X2,X2)
    | ~ cyclic(X1,X2,X1,X1)
    | ~ cyclic(X1,X2,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_109,c_0_110]) ).

cnf(c_0_124,negated_conjecture,
    ( cyclic(X1,esk23_0,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_85]) ).

cnf(c_0_125,negated_conjecture,
    coll(esk21_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_112,c_0_82]) ).

cnf(c_0_126,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_127,negated_conjecture,
    ( cyclic(esk21_0,X1,esk23_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_114]) ).

fof(c_0_128,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | perp(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).

cnf(c_0_129,negated_conjecture,
    para(esk24_0,esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_48,c_0_115]) ).

cnf(c_0_130,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_116]) ).

cnf(c_0_131,negated_conjecture,
    para(esk24_0,esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_48,c_0_117]) ).

cnf(c_0_132,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_118]) ).

cnf(c_0_133,negated_conjecture,
    para(esk22_0,esk24_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_68,c_0_119]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk24_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_120]) ).

cnf(c_0_135,negated_conjecture,
    coll(esk23_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

fof(c_0_136,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_137,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk23_0,esk23_0)
    | ~ cyclic(esk21_0,esk23_0,esk21_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_125])]) ).

cnf(c_0_138,negated_conjecture,
    ( cyclic(esk21_0,esk23_0,X1,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_139,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_128]) ).

cnf(c_0_140,negated_conjecture,
    perp(esk28_0,esk23_0,esk22_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_141,negated_conjecture,
    para(esk24_0,esk23_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_68,c_0_129]) ).

cnf(c_0_142,negated_conjecture,
    ( midp(X1,esk23_0,esk22_0)
    | ~ midp(X1,esk24_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_129])]) ).

cnf(c_0_143,negated_conjecture,
    ( midp(esk24_0,X1,esk21_0)
    | ~ midp(esk22_0,X1,esk23_0)
    | ~ coll(esk24_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_144,negated_conjecture,
    coll(esk24_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_63,c_0_134]) ).

fof(c_0_145,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_146,negated_conjecture,
    para(esk23_0,esk24_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_68,c_0_56]) ).

cnf(c_0_147,negated_conjecture,
    para(esk23_0,esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_133]) ).

cnf(c_0_148,negated_conjecture,
    coll(esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_63,c_0_135]) ).

fof(c_0_149,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_150,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_151,negated_conjecture,
    ( cong(esk21_0,esk23_0,esk23_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_66])]) ).

cnf(c_0_152,negated_conjecture,
    ( perp(esk21_0,esk23_0,X1,X2)
    | ~ perp(esk22_0,esk24_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_139,c_0_105]) ).

cnf(c_0_153,negated_conjecture,
    perp(esk22_0,esk24_0,esk28_0,esk23_0),
    inference(spm,[status(thm)],[c_0_76,c_0_140]) ).

cnf(c_0_154,negated_conjecture,
    ( midp(esk23_0,X1,esk21_0)
    | ~ midp(esk24_0,X1,esk22_0)
    | ~ coll(esk23_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_141]) ).

cnf(c_0_155,negated_conjecture,
    ( midp(esk24_0,esk23_0,esk22_0)
    | ~ midp(esk22_0,esk24_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_144])]) ).

cnf(c_0_156,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_157,negated_conjecture,
    ( midp(esk22_0,X1,esk24_0)
    | ~ midp(esk21_0,X1,esk23_0)
    | ~ coll(esk22_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_47]) ).

fof(c_0_158,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ cyclic(X6,X7,X8,X9)
      | ~ cyclic(X6,X7,X8,X10)
      | cyclic(X7,X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

fof(c_0_159,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_160,negated_conjecture,
    ( midp(X1,esk21_0,esk24_0)
    | ~ midp(X1,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_146]),c_0_147])]) ).

cnf(c_0_161,negated_conjecture,
    ( midp(esk24_0,X1,esk22_0)
    | ~ midp(esk23_0,X1,esk21_0)
    | ~ coll(esk24_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_56]) ).

cnf(c_0_162,negated_conjecture,
    coll(esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_50,c_0_148]) ).

fof(c_0_163,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_164,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_149]) ).

cnf(c_0_165,negated_conjecture,
    ( cong(esk23_0,esk23_0,esk21_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_166,negated_conjecture,
    coll(esk28_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_63,c_0_91]) ).

fof(c_0_167,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_168,negated_conjecture,
    perp(esk21_0,esk23_0,esk28_0,esk23_0),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_169,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk21_0)
    | ~ midp(esk22_0,esk24_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_66])]) ).

cnf(c_0_170,negated_conjecture,
    ( midp(esk22_0,esk24_0,X1)
    | ~ midp(esk21_0,X1,esk23_0)
    | ~ coll(esk22_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_171,negated_conjecture,
    coll(esk22_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_135]) ).

cnf(c_0_172,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_158]) ).

cnf(c_0_173,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_159]) ).

cnf(c_0_174,negated_conjecture,
    ( midp(esk24_0,esk21_0,esk24_0)
    | ~ midp(esk23_0,esk23_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162])]) ).

cnf(c_0_175,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_163]) ).

cnf(c_0_176,negated_conjecture,
    ( cong(esk23_0,esk23_0,esk23_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_177,negated_conjecture,
    ( coll(X1,esk22_0,esk28_0)
    | ~ coll(esk28_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_166]) ).

cnf(c_0_178,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_179,negated_conjecture,
    perp(esk28_0,esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_76,c_0_168]) ).

cnf(c_0_180,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk21_0)
    | ~ midp(esk21_0,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171])]) ).

cnf(c_0_181,negated_conjecture,
    ( cyclic(X1,esk21_0,X2,esk21_0)
    | ~ cyclic(esk23_0,X1,esk21_0,X2)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_85]) ).

cnf(c_0_182,negated_conjecture,
    ( cyclic(esk23_0,esk21_0,X1,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_85]) ).

cnf(c_0_183,negated_conjecture,
    ( coll(X1,esk24_0,esk28_0)
    | ~ coll(esk28_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_91]) ).

cnf(c_0_184,negated_conjecture,
    ( midp(esk23_0,X1,esk22_0)
    | ~ midp(esk24_0,X1,esk21_0)
    | ~ coll(esk23_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_129]) ).

cnf(c_0_185,negated_conjecture,
    ( midp(X1,esk24_0,esk21_0)
    | ~ midp(X1,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_147]),c_0_146])]) ).

cnf(c_0_186,negated_conjecture,
    ( cong(esk24_0,esk21_0,esk24_0,esk24_0)
    | ~ midp(esk23_0,esk23_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_187,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_66])]) ).

cnf(c_0_188,negated_conjecture,
    coll(esk22_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_177,c_0_166]) ).

cnf(c_0_189,negated_conjecture,
    ( cong(esk28_0,esk21_0,esk28_0,esk23_0)
    | ~ midp(esk23_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_190,negated_conjecture,
    ( midp(esk23_0,esk21_0,esk23_0)
    | ~ midp(esk21_0,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_180]) ).

cnf(c_0_191,plain,
    ( cong(X1,X2,X1,X2)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_53]) ).

cnf(c_0_192,negated_conjecture,
    cyclic(esk21_0,esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_125])]) ).

cnf(c_0_193,negated_conjecture,
    coll(esk24_0,esk24_0,esk28_0),
    inference(spm,[status(thm)],[c_0_183,c_0_91]) ).

cnf(c_0_194,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk22_0)
    | ~ midp(esk24_0,esk23_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_148])]) ).

cnf(c_0_195,negated_conjecture,
    ( midp(X1,esk23_0,esk22_0)
    | ~ midp(X1,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_115]),c_0_117])]) ).

cnf(c_0_196,negated_conjecture,
    ( cong(esk24_0,esk21_0,esk24_0,esk24_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_197,negated_conjecture,
    coll(esk22_0,esk28_0,esk22_0),
    inference(spm,[status(thm)],[c_0_63,c_0_188]) ).

cnf(c_0_198,negated_conjecture,
    coll(esk21_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_121,c_0_144]) ).

fof(c_0_199,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ perp(X17,X18,X19,X20)
      | perp(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).

cnf(c_0_200,negated_conjecture,
    ( cong(esk28_0,esk21_0,esk28_0,esk23_0)
    | ~ midp(esk21_0,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_201,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_130,c_0_92]),c_0_92])]) ).

cnf(c_0_202,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_192])]) ).

cnf(c_0_203,negated_conjecture,
    ( coll(X1,esk28_0,esk24_0)
    | ~ coll(esk24_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_193]) ).

cnf(c_0_204,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk22_0)
    | ~ midp(esk24_0,esk21_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_205,negated_conjecture,
    ( midp(esk24_0,esk21_0,esk24_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_196]),c_0_134])]) ).

cnf(c_0_206,negated_conjecture,
    coll(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_100,c_0_197]) ).

cnf(c_0_207,negated_conjecture,
    coll(esk22_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_198]) ).

cnf(c_0_208,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_199]) ).

cnf(c_0_209,negated_conjecture,
    ( cong(esk28_0,esk21_0,esk28_0,esk23_0)
    | ~ midp(esk21_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_210,negated_conjecture,
    midp(esk21_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_202]),c_0_125])]) ).

cnf(c_0_211,negated_conjecture,
    coll(esk23_0,esk28_0,esk24_0),
    inference(spm,[status(thm)],[c_0_203,c_0_122]) ).

cnf(c_0_212,negated_conjecture,
    para(esk23_0,esk21_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_68,c_0_147]) ).

cnf(c_0_213,negated_conjecture,
    ( midp(esk23_0,esk24_0,esk22_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_214,negated_conjecture,
    ( coll(X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_206]) ).

cnf(c_0_215,negated_conjecture,
    coll(esk22_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_63,c_0_207]) ).

cnf(c_0_216,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ perp(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_208,c_0_110]) ).

cnf(c_0_217,negated_conjecture,
    cong(esk28_0,esk21_0,esk28_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_210])]) ).

cnf(c_0_218,negated_conjecture,
    coll(esk23_0,esk24_0,esk28_0),
    inference(spm,[status(thm)],[c_0_63,c_0_211]) ).

cnf(c_0_219,negated_conjecture,
    ( midp(esk21_0,X1,esk24_0)
    | ~ midp(esk23_0,X1,esk22_0)
    | ~ coll(esk21_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_147]) ).

cnf(c_0_220,negated_conjecture,
    ( midp(esk21_0,X1,esk22_0)
    | ~ midp(esk23_0,X1,esk24_0)
    | ~ coll(esk21_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_212]) ).

cnf(c_0_221,negated_conjecture,
    ( midp(esk23_0,esk22_0,esk24_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_213]) ).

cnf(c_0_222,negated_conjecture,
    coll(esk21_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

fof(c_0_223,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_224,negated_conjecture,
    perp(esk28_0,esk21_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_168])]) ).

cnf(c_0_225,negated_conjecture,
    ( coll(X1,esk28_0,esk23_0)
    | ~ coll(esk23_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_218]) ).

cnf(c_0_226,negated_conjecture,
    coll(esk23_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_50,c_0_107]) ).

cnf(c_0_227,negated_conjecture,
    ( midp(esk21_0,esk24_0,esk24_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_213]),c_0_120])]) ).

cnf(c_0_228,negated_conjecture,
    ( midp(esk21_0,esk22_0,esk22_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222])]) ).

cnf(c_0_229,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_223]) ).

cnf(c_0_230,negated_conjecture,
    perp(esk21_0,esk23_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_76,c_0_224]) ).

cnf(c_0_231,negated_conjecture,
    coll(esk21_0,esk28_0,esk23_0),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_232,negated_conjecture,
    coll(esk23_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_63,c_0_66]) ).

cnf(c_0_233,negated_conjecture,
    ( coll(X1,esk22_0,esk23_0)
    | ~ coll(esk23_0,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_148]) ).

cnf(c_0_234,negated_conjecture,
    ( cong(esk21_0,esk24_0,esk21_0,esk24_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_227]) ).

cnf(c_0_235,negated_conjecture,
    ( cong(esk21_0,esk22_0,esk21_0,esk22_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_228]) ).

cnf(c_0_236,negated_conjecture,
    perp(esk21_0,esk23_0,esk21_0,esk28_0),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_237,negated_conjecture,
    coll(esk28_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_231]) ).

cnf(c_0_238,negated_conjecture,
    coll(esk21_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_232]) ).

cnf(c_0_239,negated_conjecture,
    coll(esk21_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_233,c_0_226]) ).

cnf(c_0_240,negated_conjecture,
    ( cong(esk21_0,esk24_0,esk24_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_234]) ).

cnf(c_0_241,negated_conjecture,
    coll(esk21_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_99]) ).

cnf(c_0_242,negated_conjecture,
    para(esk22_0,esk21_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_146]) ).

cnf(c_0_243,negated_conjecture,
    ( cong(esk21_0,esk22_0,esk22_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_235]) ).

cnf(c_0_244,negated_conjecture,
    perp(esk21_0,esk28_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_76,c_0_236]) ).

cnf(c_0_245,negated_conjecture,
    midp(esk28_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_217]),c_0_237])]) ).

cnf(c_0_246,negated_conjecture,
    para(esk24_0,esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_68,c_0_131]) ).

cnf(c_0_247,negated_conjecture,
    ( coll(X1,esk23_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_238]) ).

cnf(c_0_248,negated_conjecture,
    coll(esk21_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_63,c_0_239]) ).

cnf(c_0_249,negated_conjecture,
    ( cong(esk24_0,esk21_0,esk21_0,esk24_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_240]) ).

cnf(c_0_250,negated_conjecture,
    ( coll(X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_86]) ).

cnf(c_0_251,negated_conjecture,
    coll(esk21_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_63,c_0_241]) ).

cnf(c_0_252,negated_conjecture,
    ( para(X1,X2,esk22_0,esk24_0)
    | ~ para(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_105]) ).

cnf(c_0_253,negated_conjecture,
    ( midp(esk23_0,X1,esk24_0)
    | ~ midp(esk21_0,X1,esk22_0)
    | ~ coll(esk23_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_105]) ).

cnf(c_0_254,negated_conjecture,
    para(esk22_0,esk21_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_68,c_0_242]) ).

cnf(c_0_255,negated_conjecture,
    ( cong(esk22_0,esk21_0,esk21_0,esk22_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_243]) ).

cnf(c_0_256,negated_conjecture,
    cong(esk21_0,esk21_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_244]),c_0_245])]) ).

cnf(c_0_257,negated_conjecture,
    perp(esk25_0,esk22_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_258,negated_conjecture,
    ( midp(esk22_0,X1,esk21_0)
    | ~ midp(esk24_0,X1,esk23_0)
    | ~ coll(esk22_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_246]) ).

cnf(c_0_259,negated_conjecture,
    coll(esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

cnf(c_0_260,negated_conjecture,
    ( cong(esk24_0,esk21_0,esk24_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_249]) ).

cnf(c_0_261,negated_conjecture,
    coll(esk24_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_250,c_0_251]) ).

cnf(c_0_262,negated_conjecture,
    ( cyclic(esk24_0,X1,esk22_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_252]),c_0_119])]) ).

cnf(c_0_263,negated_conjecture,
    ( midp(esk23_0,esk24_0,X1)
    | ~ midp(esk21_0,X1,esk22_0)
    | ~ coll(esk23_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_253]) ).

cnf(c_0_264,negated_conjecture,
    coll(esk23_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_63,c_0_226]) ).

cnf(c_0_265,negated_conjecture,
    ( midp(esk23_0,X1,esk21_0)
    | ~ midp(esk21_0,X1,esk23_0)
    | ~ coll(esk23_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_97]) ).

cnf(c_0_266,negated_conjecture,
    coll(esk22_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_250,c_0_248]) ).

cnf(c_0_267,negated_conjecture,
    ( midp(esk21_0,X1,esk23_0)
    | ~ midp(esk22_0,X1,esk24_0)
    | ~ coll(esk21_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_254]) ).

cnf(c_0_268,negated_conjecture,
    ( midp(X1,esk24_0,esk24_0)
    | ~ midp(X1,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_69]),c_0_69])]) ).

cnf(c_0_269,negated_conjecture,
    cong(esk22_0,esk21_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_256])]) ).

cnf(c_0_270,negated_conjecture,
    ( para(esk22_0,esk24_0,X1,X2)
    | ~ para(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_252]) ).

cnf(c_0_271,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_52,c_0_110]) ).

cnf(c_0_272,negated_conjecture,
    perp(esk25_0,esk22_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_229,c_0_257]) ).

cnf(c_0_273,negated_conjecture,
    ( midp(esk22_0,esk23_0,esk21_0)
    | ~ midp(esk24_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_201]),c_0_259])]) ).

cnf(c_0_274,negated_conjecture,
    ( midp(esk24_0,X1,esk21_0)
    | ~ midp(esk23_0,X1,esk22_0)
    | ~ coll(esk24_0,X1,esk21_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_146]) ).

cnf(c_0_275,negated_conjecture,
    ( midp(esk22_0,X1,esk23_0)
    | ~ midp(esk24_0,X1,esk21_0)
    | ~ coll(esk22_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_131]) ).

cnf(c_0_276,negated_conjecture,
    ( midp(esk24_0,esk21_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_260]),c_0_261])]) ).

cnf(c_0_277,negated_conjecture,
    coll(esk22_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_239]) ).

cnf(c_0_278,negated_conjecture,
    coll(esk21_0,esk24_0,esk21_0),
    inference(spm,[status(thm)],[c_0_50,c_0_261]) ).

fof(c_0_279,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | coll(X13,X14,X11)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ruleD42a])])]) ).

cnf(c_0_280,negated_conjecture,
    ( para(esk22_0,esk24_0,esk22_0,esk24_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_262]) ).

cnf(c_0_281,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk22_0)
    | ~ midp(esk21_0,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_263]),c_0_264])]) ).

cnf(c_0_282,negated_conjecture,
    ( midp(esk23_0,esk23_0,esk22_0)
    | ~ midp(esk21_0,esk24_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_265]),c_0_226])]) ).

cnf(c_0_283,negated_conjecture,
    coll(esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_50,c_0_266]) ).

cnf(c_0_284,negated_conjecture,
    ( midp(esk21_0,esk24_0,esk23_0)
    | ~ midp(esk22_0,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_241])]) ).

cnf(c_0_285,negated_conjecture,
    cong(esk22_0,esk21_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_164,c_0_269]) ).

cnf(c_0_286,negated_conjecture,
    ( para(esk22_0,esk24_0,esk21_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_287,negated_conjecture,
    ( cong(esk25_0,esk23_0,esk25_0,esk21_0)
    | ~ midp(esk22_0,esk23_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_272]) ).

cnf(c_0_288,negated_conjecture,
    ( midp(esk22_0,esk23_0,esk21_0)
    | ~ midp(esk23_0,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_261])]) ).

cnf(c_0_289,negated_conjecture,
    ( midp(esk21_0,X1,esk24_0)
    | ~ midp(esk22_0,X1,esk23_0)
    | ~ coll(esk21_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_242]) ).

cnf(c_0_290,negated_conjecture,
    ( midp(esk22_0,esk21_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277])]) ).

cnf(c_0_291,negated_conjecture,
    coll(esk21_0,esk21_0,esk24_0),
    inference(spm,[status(thm)],[c_0_63,c_0_278]) ).

fof(c_0_292,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | ~ para(X5,X6,X7,X8)
      | eqangle(X5,X8,X7,X8,X7,X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

cnf(c_0_293,plain,
    ( cyclic(X1,X2,X3,X4)
    | coll(X3,X4,X1)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_279]) ).

cnf(c_0_294,negated_conjecture,
    para(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_280,c_0_188]) ).

cnf(c_0_295,negated_conjecture,
    ( midp(esk21_0,esk23_0,esk24_0)
    | ~ midp(esk21_0,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_281]),c_0_251])]) ).

cnf(c_0_296,negated_conjecture,
    coll(esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_63,c_0_108]) ).

cnf(c_0_297,negated_conjecture,
    ( midp(esk23_0,esk21_0,esk24_0)
    | ~ midp(esk21_0,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_282]) ).

cnf(c_0_298,negated_conjecture,
    coll(esk21_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_63,c_0_283]) ).

cnf(c_0_299,negated_conjecture,
    ( midp(esk21_0,esk24_0,esk23_0)
    | ~ midp(esk22_0,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_284,c_0_201]) ).

cnf(c_0_300,negated_conjecture,
    midp(esk22_0,esk21_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_285]),c_0_266])]) ).

cnf(c_0_301,negated_conjecture,
    ( para(esk21_0,esk21_0,esk22_0,esk24_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_286]) ).

cnf(c_0_302,negated_conjecture,
    ( cong(esk25_0,esk23_0,esk25_0,esk21_0)
    | ~ midp(esk23_0,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_287,c_0_288]) ).

cnf(c_0_303,negated_conjecture,
    ( midp(esk23_0,X1,esk22_0)
    | ~ midp(esk21_0,X1,esk24_0)
    | ~ coll(esk23_0,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_117]) ).

cnf(c_0_304,negated_conjecture,
    coll(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_50,c_0_248]) ).

cnf(c_0_305,negated_conjecture,
    ( midp(esk21_0,esk21_0,esk24_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291])]) ).

fof(c_0_306,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | ~ cyclic(X11,X12,X13,X14)
      | perp(X13,X11,X11,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).

cnf(c_0_307,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ cyclic(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_292]) ).

cnf(c_0_308,plain,
    ( cyclic(X1,X2,X3,X3)
    | coll(X3,X3,X1)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_293,c_0_45]) ).

cnf(c_0_309,negated_conjecture,
    para(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_68,c_0_294]) ).

cnf(c_0_310,negated_conjecture,
    ( cong(esk22_0,X1,esk22_0,esk24_0)
    | ~ midp(esk21_0,X1,esk23_0)
    | ~ coll(esk22_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_157]) ).

cnf(c_0_311,negated_conjecture,
    ( midp(esk21_0,esk24_0,esk23_0)
    | ~ midp(esk21_0,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_295]) ).

cnf(c_0_312,negated_conjecture,
    coll(esk22_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_50,c_0_296]) ).

cnf(c_0_313,negated_conjecture,
    ( midp(esk21_0,esk21_0,esk22_0)
    | ~ midp(esk21_0,esk24_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_297]),c_0_298])]) ).

cnf(c_0_314,negated_conjecture,
    midp(esk21_0,esk24_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_300])]) ).

cnf(c_0_315,negated_conjecture,
    ( midp(X1,esk22_0,esk23_0)
    | ~ midp(X1,esk21_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_195]) ).

cnf(c_0_316,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_63,c_0_206]) ).

cnf(c_0_317,negated_conjecture,
    ( para(esk21_0,esk21_0,esk24_0,esk22_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_68,c_0_301]) ).

cnf(c_0_318,negated_conjecture,
    ( cong(esk25_0,esk23_0,esk25_0,esk21_0)
    | ~ midp(esk21_0,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304])]) ).

cnf(c_0_319,negated_conjecture,
    midp(esk21_0,esk21_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_256])]) ).

cnf(c_0_320,negated_conjecture,
    coll(esk25_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_321,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cyclic(X2,X4,X1,X3)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_322,plain,
    ( cyclic(X1,X1,X2,X2)
    | ~ para(X2,X1,X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_307]),c_0_54]),c_0_308]) ).

cnf(c_0_323,negated_conjecture,
    para(esk24_0,esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_309]) ).

cnf(c_0_324,negated_conjecture,
    ( cong(esk22_0,esk24_0,esk22_0,esk24_0)
    | ~ midp(esk21_0,esk21_0,esk22_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_312])]) ).

cnf(c_0_325,negated_conjecture,
    midp(esk21_0,esk21_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_313,c_0_314])]) ).

cnf(c_0_326,negated_conjecture,
    ( cong(esk22_0,esk22_0,esk22_0,esk24_0)
    | ~ midp(esk21_0,esk21_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_315]),c_0_316])]) ).

cnf(c_0_327,negated_conjecture,
    ( para(X1,X2,esk23_0,esk21_0)
    | ~ para(X1,X2,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_46,c_0_246]) ).

cnf(c_0_328,negated_conjecture,
    para(esk21_0,esk21_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_256])]) ).

cnf(c_0_329,negated_conjecture,
    cong(esk25_0,esk23_0,esk25_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_318,c_0_319])]) ).

cnf(c_0_330,negated_conjecture,
    coll(esk25_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_63,c_0_320]) ).

cnf(c_0_331,plain,
    ( perp(X1,X2,X2,X1)
    | ~ cong(X2,X1,X2,X1)
    | ~ para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_332,negated_conjecture,
    para(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_68,c_0_323]) ).

cnf(c_0_333,negated_conjecture,
    cong(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_325])]) ).

cnf(c_0_334,negated_conjecture,
    cong(esk22_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_326,c_0_319])]) ).

cnf(c_0_335,negated_conjecture,
    para(esk21_0,esk21_0,esk23_0,esk21_0),
    inference(spm,[status(thm)],[c_0_327,c_0_328]) ).

cnf(c_0_336,negated_conjecture,
    midp(esk25_0,esk23_0,esk21_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_329]),c_0_330])]) ).

cnf(c_0_337,negated_conjecture,
    ( coll(X1,esk23_0,esk25_0)
    | ~ coll(esk25_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_320]) ).

fof(c_0_338,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_339,negated_conjecture,
    perp(esk24_0,esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_333])]) ).

cnf(c_0_340,negated_conjecture,
    midp(esk22_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_334]),c_0_316])]) ).

cnf(c_0_341,negated_conjecture,
    ( midp(X1,esk21_0,esk21_0)
    | ~ midp(X1,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_335]),c_0_335])]) ).

cnf(c_0_342,negated_conjecture,
    midp(esk25_0,esk21_0,esk23_0),
    inference(spm,[status(thm)],[c_0_156,c_0_336]) ).

cnf(c_0_343,negated_conjecture,
    coll(esk23_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_337,c_0_320]) ).

cnf(c_0_344,negated_conjecture,
    ( midp(esk22_0,esk23_0,esk22_0)
    | ~ midp(esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_170]),c_0_207])]) ).

cnf(c_0_345,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_338]) ).

cnf(c_0_346,negated_conjecture,
    perp(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_229,c_0_339]) ).

cnf(c_0_347,negated_conjecture,
    midp(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_156,c_0_340]) ).

cnf(c_0_348,negated_conjecture,
    ( cong(X1,esk23_0,X1,esk23_0)
    | ~ midp(X1,esk21_0,esk21_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_201]) ).

cnf(c_0_349,negated_conjecture,
    midp(esk25_0,esk21_0,esk21_0),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_350,negated_conjecture,
    coll(esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_63,c_0_343]) ).

cnf(c_0_351,negated_conjecture,
    ( coll(X1,esk25_0,esk23_0)
    | ~ coll(esk23_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_343]) ).

cnf(c_0_352,negated_conjecture,
    perp(esk26_0,esk21_0,esk22_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_353,negated_conjecture,
    ( midp(esk22_0,esk22_0,esk23_0)
    | ~ midp(esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_344]) ).

cnf(c_0_354,plain,
    ( para(X1,X2,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | ~ para(X2,X3,X1,X3) ),
    inference(spm,[status(thm)],[c_0_345,c_0_110]) ).

cnf(c_0_355,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_346]),c_0_347])]) ).

cnf(c_0_356,negated_conjecture,
    cong(esk25_0,esk23_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_357,negated_conjecture,
    coll(esk25_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_50,c_0_350]) ).

cnf(c_0_358,negated_conjecture,
    coll(esk24_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_351,c_0_95]) ).

cnf(c_0_359,negated_conjecture,
    perp(esk26_0,esk21_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_229,c_0_352]) ).

cnf(c_0_360,negated_conjecture,
    ( midp(esk21_0,esk22_0,esk24_0)
    | ~ midp(esk21_0,esk21_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_353]),c_0_198])]) ).

cnf(c_0_361,negated_conjecture,
    para(esk24_0,esk24_0,esk24_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_332])]) ).

cnf(c_0_362,negated_conjecture,
    ( cong(X1,esk24_0,X1,esk24_0)
    | ~ midp(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_173,c_0_268]) ).

cnf(c_0_363,negated_conjecture,
    midp(esk25_0,esk23_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_356]),c_0_357])]) ).

cnf(c_0_364,negated_conjecture,
    coll(esk24_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_63,c_0_358]) ).

cnf(c_0_365,negated_conjecture,
    ( midp(esk23_0,esk21_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_187]) ).

cnf(c_0_366,negated_conjecture,
    ( cong(esk26_0,esk24_0,esk26_0,esk22_0)
    | ~ midp(esk21_0,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_359]) ).

cnf(c_0_367,negated_conjecture,
    ( midp(esk21_0,esk24_0,esk22_0)
    | ~ midp(esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_360]) ).

cnf(c_0_368,negated_conjecture,
    para(esk24_0,esk22_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_48,c_0_361]) ).

cnf(c_0_369,negated_conjecture,
    cong(esk25_0,esk24_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_370,negated_conjecture,
    coll(esk25_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_106,c_0_364]) ).

cnf(c_0_371,negated_conjecture,
    ( cong(esk28_0,esk21_0,esk28_0,esk23_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_365]) ).

cnf(c_0_372,negated_conjecture,
    ( cong(esk27_0,esk21_0,esk27_0,esk23_0)
    | ~ midp(esk24_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_75]) ).

cnf(c_0_373,negated_conjecture,
    ( midp(esk24_0,X1,esk23_0)
    | ~ midp(esk22_0,X1,esk21_0)
    | ~ coll(esk24_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_119]) ).

cnf(c_0_374,negated_conjecture,
    ( cong(esk26_0,esk24_0,esk26_0,esk22_0)
    | ~ midp(esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_375,negated_conjecture,
    midp(esk21_0,esk21_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_256]),c_0_89])]) ).

cnf(c_0_376,negated_conjecture,
    ( midp(X1,esk24_0,esk22_0)
    | ~ midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_368]),c_0_361])]) ).

cnf(c_0_377,negated_conjecture,
    midp(esk25_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_369]),c_0_370])]) ).

cnf(c_0_378,negated_conjecture,
    ( cong(esk28_0,esk21_0,esk23_0,esk28_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_371]) ).

cnf(c_0_379,negated_conjecture,
    ( cong(esk27_0,esk21_0,esk27_0,esk23_0)
    | ~ midp(esk22_0,esk21_0,esk21_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_373]),c_0_99])]) ).

cnf(c_0_380,negated_conjecture,
    cong(esk26_0,esk24_0,esk26_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_375])]) ).

cnf(c_0_381,negated_conjecture,
    midp(esk25_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_382,negated_conjecture,
    ( cong(esk23_0,esk28_0,esk28_0,esk21_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_378]) ).

cnf(c_0_383,negated_conjecture,
    cong(esk27_0,esk21_0,esk27_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_379,c_0_300])]) ).

cnf(c_0_384,negated_conjecture,
    cong(esk26_0,esk24_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_164,c_0_380]) ).

cnf(c_0_385,negated_conjecture,
    cong(esk25_0,esk24_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_173,c_0_381]) ).

fof(c_0_386,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | perp(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).

cnf(c_0_387,negated_conjecture,
    ( cong(esk23_0,esk28_0,esk21_0,esk28_0)
    | ~ cong(esk21_0,esk21_0,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_382]) ).

cnf(c_0_388,negated_conjecture,
    cong(esk27_0,esk21_0,esk23_0,esk27_0),
    inference(spm,[status(thm)],[c_0_164,c_0_383]) ).

cnf(c_0_389,negated_conjecture,
    cong(esk22_0,esk26_0,esk26_0,esk24_0),
    inference(spm,[status(thm)],[c_0_150,c_0_384]) ).

cnf(c_0_390,negated_conjecture,
    cong(esk25_0,esk24_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_164,c_0_385]) ).

cnf(c_0_391,negated_conjecture,
    ( perp(esk22_0,esk24_0,X1,X2)
    | ~ perp(esk23_0,esk21_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_139,c_0_133]) ).

cnf(c_0_392,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_386]) ).

cnf(c_0_393,negated_conjecture,
    cong(esk23_0,esk28_0,esk21_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_256])]) ).

cnf(c_0_394,negated_conjecture,
    cong(esk23_0,esk27_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_150,c_0_388]) ).

cnf(c_0_395,negated_conjecture,
    cong(esk22_0,esk26_0,esk24_0,esk26_0),
    inference(spm,[status(thm)],[c_0_164,c_0_389]) ).

cnf(c_0_396,negated_conjecture,
    cong(esk22_0,esk25_0,esk25_0,esk24_0),
    inference(spm,[status(thm)],[c_0_150,c_0_390]) ).

cnf(c_0_397,negated_conjecture,
    ~ para(esk25_0,esk26_0,esk27_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_398,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ perp(X1,X2,esk22_0,esk24_0)
    | ~ perp(esk23_0,esk21_0,X3,X4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_391]) ).

cnf(c_0_399,negated_conjecture,
    ( perp(esk23_0,esk21_0,X1,esk28_0)
    | ~ cong(esk23_0,X1,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_400,negated_conjecture,
    cong(esk23_0,esk27_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_164,c_0_394]) ).

cnf(c_0_401,negated_conjecture,
    ( perp(esk22_0,esk24_0,X1,esk26_0)
    | ~ cong(esk22_0,X1,esk24_0,X1) ),
    inference(spm,[status(thm)],[c_0_392,c_0_395]) ).

cnf(c_0_402,negated_conjecture,
    cong(esk22_0,esk25_0,esk24_0,esk25_0),
    inference(spm,[status(thm)],[c_0_164,c_0_396]) ).

cnf(c_0_403,negated_conjecture,
    ( ~ perp(esk25_0,esk26_0,esk22_0,esk24_0)
    | ~ perp(esk23_0,esk21_0,esk27_0,esk28_0) ),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_404,negated_conjecture,
    perp(esk23_0,esk21_0,esk27_0,esk28_0),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_405,negated_conjecture,
    perp(esk22_0,esk24_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_401,c_0_402]) ).

cnf(c_0_406,negated_conjecture,
    ~ perp(esk25_0,esk26_0,esk22_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_404])]) ).

cnf(c_0_407,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_405]),c_0_406]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO553+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 15:54:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.29/10.48  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.29/10.48  # Preprocessing time       : 0.022 s
% 0.29/10.48  
% 0.29/10.48  # Proof found!
% 0.29/10.48  # SZS status Theorem
% 0.29/10.48  # SZS output start CNFRefutation
% See solution above
% 0.29/10.48  # Proof object total steps             : 408
% 0.29/10.48  # Proof object clause steps            : 337
% 0.29/10.48  # Proof object formula steps           : 71
% 0.29/10.48  # Proof object conjectures             : 296
% 0.29/10.48  # Proof object clause conjectures      : 293
% 0.29/10.48  # Proof object formula conjectures     : 3
% 0.29/10.48  # Proof object initial clauses used    : 44
% 0.29/10.48  # Proof object initial formulas used   : 35
% 0.29/10.48  # Proof object generating inferences   : 280
% 0.29/10.48  # Proof object simplifying inferences  : 135
% 0.29/10.48  # Training examples: 0 positive, 0 negative
% 0.29/10.48  # Parsed axioms                        : 95
% 0.29/10.48  # Removed by relevancy pruning/SinE    : 0
% 0.29/10.48  # Initial clauses                      : 124
% 0.29/10.48  # Removed in clause preprocessing      : 0
% 0.29/10.48  # Initial clauses in saturation        : 124
% 0.29/10.48  # Processed clauses                    : 41985
% 0.29/10.48  # ...of these trivial                  : 16680
% 0.29/10.48  # ...subsumed                          : 4030
% 0.29/10.48  # ...remaining for further processing  : 21275
% 0.29/10.48  # Other redundant clauses eliminated   : 0
% 0.29/10.48  # Clauses deleted for lack of memory   : 215102
% 0.29/10.48  # Backward-subsumed                    : 1508
% 0.29/10.48  # Backward-rewritten                   : 6590
% 0.29/10.48  # Generated clauses                    : 722684
% 0.29/10.48  # ...of the previous two non-trivial   : 450512
% 0.29/10.48  # Contextual simplify-reflections      : 568
% 0.29/10.48  # Paramodulations                      : 722684
% 0.29/10.48  # Factorizations                       : 0
% 0.29/10.48  # Equation resolutions                 : 0
% 0.29/10.48  # Current number of processed clauses  : 13177
% 0.29/10.48  #    Positive orientable unit clauses  : 8725
% 0.29/10.48  #    Positive unorientable unit clauses: 0
% 0.29/10.48  #    Negative unit clauses             : 7
% 0.29/10.48  #    Non-unit-clauses                  : 4445
% 0.29/10.48  # Current number of unprocessed clauses: 98533
% 0.29/10.48  # ...number of literals in the above   : 296902
% 0.29/10.48  # Current number of archived formulas  : 0
% 0.29/10.48  # Current number of archived clauses   : 8098
% 0.29/10.48  # Clause-clause subsumption calls (NU) : 5690432
% 0.29/10.48  # Rec. Clause-clause subsumption calls : 2745890
% 0.29/10.48  # Non-unit clause-clause subsumptions  : 5078
% 0.29/10.48  # Unit Clause-clause subsumption calls : 1954298
% 0.29/10.48  # Rewrite failures with RHS unbound    : 0
% 0.29/10.48  # BW rewrite match attempts            : 282709
% 0.29/10.48  # BW rewrite match successes           : 4659
% 0.29/10.48  # Condensation attempts                : 0
% 0.29/10.48  # Condensation successes               : 0
% 0.29/10.48  # Termbank termtop insertions          : 11032218
% 0.29/10.48  
% 0.29/10.48  # -------------------------------------------------
% 0.29/10.48  # User time                : 9.260 s
% 0.29/10.48  # System time              : 0.134 s
% 0.29/10.48  # Total time               : 9.394 s
% 0.29/10.48  # Maximum resident set size: 144328 pages
% 0.29/23.40  eprover: CPU time limit exceeded, terminating
% 0.29/23.41  eprover: CPU time limit exceeded, terminating
% 0.29/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.42  eprover: No such file or directory
% 0.29/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43  eprover: No such file or directory
% 0.29/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43  eprover: No such file or directory
% 0.29/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43  eprover: No such file or directory
% 0.29/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.43  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.44  eprover: CPU time limit exceeded, terminating
% 0.29/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.44  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.45  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.46  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.47  eprover: No such file or directory
% 0.29/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48  eprover: No such file or directory
% 0.29/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.29/23.48  eprover: No such file or directory
% 0.29/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.48  eprover: No such file or directory
% 0.29/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49  eprover: No such file or directory
% 0.29/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49  eprover: No such file or directory
% 0.29/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.49  eprover: No such file or directory
% 0.29/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50  eprover: No such file or directory
% 0.29/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.29/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------