TSTP Solution File: GEO599+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO599+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:06:38 EDT 2022

% Result   : Theorem 0.26s 1.45s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   35
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  189 (  44 unt;   0 def)
%            Number of atoms       :  673 (   0 equ)
%            Maximal formula atoms :  224 (   3 avg)
%            Number of connectives :  839 ( 355   ~; 366   |;  81   &)
%                                         (   1 <=>;  36  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   44 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :  691 (  46 sgn 375   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618061,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
      ( ( circle(X4,X1,X2,X3)
        & midp(X5,X2,X1)
        & coll(X6,X4,X5)
        & circle(X6,X1,X19,X20)
        & coll(X13,X2,X3)
        & circle(X6,X1,X13,X21) )
     => ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
        & ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
          | eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
        & eqangle(X1,X4,X4,X6,X1,X3,X3,X13) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL618061) ).

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(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(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(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(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(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

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

fof(ruleD50,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & midp(X7,X2,X3) )
     => eqangle(X1,X2,X1,X3,X8,X2,X8,X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).

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

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

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(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(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(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(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(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(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(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(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(c_0_34,plain,
    ! [X1,X3,X13,X6,X4] :
      ( epred1_5(X4,X6,X13,X1,X3)
    <=> ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
        & ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
          | eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) ) ) ),
    introduced(definition) ).

fof(c_0_35,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21] :
        ( ( circle(X4,X1,X2,X3)
          & midp(X5,X2,X1)
          & coll(X6,X4,X5)
          & circle(X6,X1,X19,X20)
          & coll(X13,X2,X3)
          & circle(X6,X1,X13,X21) )
       => ( epred1_5(X4,X6,X13,X1,X3)
          & eqangle(X1,X4,X4,X6,X1,X3,X3,X13) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL618061]),c_0_34]) ).

fof(c_0_36,plain,
    ! [X8,X9,X10] :
      ( ~ midp(X10,X9,X8)
      | midp(X10,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).

fof(c_0_37,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & midp(esk5_0,esk2_0,esk1_0)
    & coll(esk6_0,esk4_0,esk5_0)
    & circle(esk6_0,esk1_0,esk8_0,esk9_0)
    & coll(esk7_0,esk2_0,esk3_0)
    & circle(esk6_0,esk1_0,esk7_0,esk10_0)
    & ( ~ epred1_5(esk4_0,esk6_0,esk7_0,esk1_0,esk3_0)
      | ~ eqangle(esk1_0,esk4_0,esk4_0,esk6_0,esk1_0,esk3_0,esk3_0,esk7_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,
    ! [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_39,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    midp(esk5_0,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_41,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_42,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    midp(esk5_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_44,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_45,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_46,negated_conjecture,
    cong(esk5_0,esk1_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_47,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_48,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk14_4(X10,X11,X12,X13),X10,X10,X13) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_49,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])]) ).

fof(c_0_50,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ midp(X13,X10,X11)
      | eqangle(X9,X10,X9,X11,X12,X10,X12,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).

fof(c_0_51,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_52,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_53,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_54,negated_conjecture,
    cong(esk5_0,esk1_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_55,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_56,plain,
    ( perp(esk14_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

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

cnf(c_0_58,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ midp(X5,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_59,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

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

cnf(c_0_61,negated_conjecture,
    cong(esk2_0,esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_62,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk14_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_63,plain,
    ( perp(X1,X2,esk14_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_57,c_0_56]) ).

cnf(c_0_64,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ cong(X4,X1,X4,X3)
    | ~ cong(X4,X1,X4,X2)
    | ~ midp(X5,X2,X3) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    ( cong(X1,X2,esk5_0,esk1_0)
    | ~ cong(X1,X2,esk2_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

fof(c_0_66,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])])])]) ).

cnf(c_0_67,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_68,negated_conjecture,
    circle(esk6_0,esk1_0,esk8_0,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_69,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_70,negated_conjecture,
    ( eqangle(esk1_0,X1,esk1_0,esk2_0,esk5_0,X1,esk5_0,X2)
    | ~ cong(esk5_0,esk1_0,esk5_0,X1)
    | ~ midp(X2,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_64,c_0_46]) ).

cnf(c_0_71,negated_conjecture,
    cong(esk5_0,esk1_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_65,c_0_54]) ).

fof(c_0_72,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_73,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_74,negated_conjecture,
    para(esk1_0,esk6_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

fof(c_0_75,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_76,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_69]) ).

cnf(c_0_77,negated_conjecture,
    eqangle(esk1_0,esk1_0,esk1_0,esk2_0,esk5_0,esk1_0,esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_43]),c_0_71])]) ).

cnf(c_0_78,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

fof(c_0_79,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_80,negated_conjecture,
    eqangle(esk1_0,esk6_0,X1,X2,esk1_0,esk6_0,X1,X2),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_81,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_75]) ).

cnf(c_0_82,negated_conjecture,
    eqangle(esk1_0,esk2_0,esk1_0,esk1_0,esk5_0,esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    ( para(X1,esk2_0,X2,esk1_0)
    | ~ midp(esk5_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_40]) ).

fof(c_0_84,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_85,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_86,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk6_0,X1,X2,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_76,c_0_80]) ).

fof(c_0_87,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])]) ).

cnf(c_0_88,negated_conjecture,
    eqangle(esk2_0,esk1_0,esk1_0,esk1_0,esk5_0,esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_89,negated_conjecture,
    ( eqangle(X1,esk2_0,X2,X3,X4,esk1_0,X2,X3)
    | ~ midp(esk5_0,X1,X4) ),
    inference(spm,[status(thm)],[c_0_73,c_0_83]) ).

fof(c_0_90,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_91,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_92,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

fof(c_0_93,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_94,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_87]) ).

cnf(c_0_95,negated_conjecture,
    eqangle(esk1_0,esk1_0,esk2_0,esk1_0,esk5_0,esk1_0,esk5_0,esk5_0),
    inference(spm,[status(thm)],[c_0_76,c_0_88]) ).

fof(c_0_96,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])]) ).

fof(c_0_97,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])]) ).

fof(c_0_98,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_99,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_100,negated_conjecture,
    eqangle(esk2_0,esk2_0,X1,X2,esk1_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_89,c_0_40]) ).

fof(c_0_101,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_102,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_103,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_104,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_93]) ).

cnf(c_0_105,negated_conjecture,
    eqangle(esk5_0,esk1_0,esk5_0,esk5_0,esk1_0,esk1_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_106,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_107,negated_conjecture,
    ( para(X1,esk1_0,X2,esk2_0)
    | ~ midp(esk5_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_78,c_0_43]) ).

cnf(c_0_108,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_97]) ).

cnf(c_0_109,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_110,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_111,negated_conjecture,
    para(esk2_0,esk2_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_85,c_0_100]) ).

fof(c_0_112,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_113,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_114,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_115,negated_conjecture,
    ( para(esk5_0,esk1_0,esk5_0,esk5_0)
    | ~ para(esk1_0,esk1_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_116,negated_conjecture,
    ( para(X1,esk1_0,esk2_0,X2)
    | ~ midp(esk5_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_117,negated_conjecture,
    eqangle(esk1_0,esk2_0,esk5_0,esk5_0,esk1_0,esk1_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_108,c_0_82]) ).

cnf(c_0_118,negated_conjecture,
    ( para(X1,X2,X3,esk1_0)
    | ~ midp(esk5_0,X4,X3)
    | ~ para(X1,X2,X4,esk2_0) ),
    inference(spm,[status(thm)],[c_0_109,c_0_83]) ).

cnf(c_0_119,negated_conjecture,
    para(esk1_0,esk1_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

fof(c_0_120,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_121,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_122,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_113,c_0_114]) ).

cnf(c_0_123,negated_conjecture,
    ( para(esk5_0,esk1_0,esk5_0,esk5_0)
    | ~ midp(esk5_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

fof(c_0_124,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_125,negated_conjecture,
    ( para(esk1_0,esk2_0,esk5_0,esk5_0)
    | ~ para(esk1_0,esk1_0,esk5_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_104,c_0_117]) ).

cnf(c_0_126,negated_conjecture,
    ( para(esk1_0,esk1_0,X1,esk1_0)
    | ~ midp(esk5_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_127,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_120]) ).

cnf(c_0_128,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_122])]) ).

cnf(c_0_129,negated_conjecture,
    ( para(esk5_0,esk5_0,esk5_0,esk1_0)
    | ~ midp(esk5_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_123]) ).

cnf(c_0_130,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_131,negated_conjecture,
    ( para(esk1_0,esk2_0,esk5_0,esk5_0)
    | ~ midp(esk5_0,esk2_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_132,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128])]) ).

cnf(c_0_133,negated_conjecture,
    ( para(esk5_0,esk5_0,esk1_0,esk5_0)
    | ~ midp(esk5_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_106,c_0_129]) ).

cnf(c_0_134,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2)
    | ~ coll(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_39,c_0_130]) ).

fof(c_0_135,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])])])]) ).

cnf(c_0_136,negated_conjecture,
    ( para(esk5_0,esk5_0,esk1_0,esk2_0)
    | ~ midp(esk5_0,esk2_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_110,c_0_131]) ).

cnf(c_0_137,negated_conjecture,
    ( midp(esk5_0,X1,esk5_0)
    | ~ midp(esk5_0,esk1_0,esk1_0)
    | ~ midp(esk5_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_138,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_128])]) ).

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

cnf(c_0_140,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

fof(c_0_141,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_142,negated_conjecture,
    ( para(esk5_0,esk5_0,esk2_0,esk1_0)
    | ~ midp(esk5_0,esk2_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_106,c_0_136]) ).

cnf(c_0_143,negated_conjecture,
    ( midp(esk5_0,X1,esk5_0)
    | ~ midp(esk5_0,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_71])]) ).

fof(c_0_144,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_145,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk2_0,esk3_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_146,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_106,c_0_92]) ).

cnf(c_0_147,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_141]) ).

cnf(c_0_148,negated_conjecture,
    ( midp(esk5_0,X1,esk1_0)
    | ~ midp(esk5_0,esk2_0,esk5_0)
    | ~ midp(esk5_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_142]) ).

cnf(c_0_149,negated_conjecture,
    midp(esk5_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_143,c_0_40]) ).

cnf(c_0_150,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_151,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk1_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_145]) ).

cnf(c_0_152,negated_conjecture,
    eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
    inference(spm,[status(thm)],[c_0_73,c_0_146]) ).

cnf(c_0_153,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_92]),c_0_92])]) ).

cnf(c_0_154,negated_conjecture,
    ( midp(esk5_0,X1,esk1_0)
    | ~ midp(esk5_0,X1,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])]) ).

cnf(c_0_155,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk2_0,esk1_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_156,negated_conjecture,
    ( para(X1,X2,X3,X4)
    | ~ para(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_104,c_0_152]) ).

fof(c_0_157,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_158,negated_conjecture,
    midp(esk5_0,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_43])]) ).

cnf(c_0_159,negated_conjecture,
    ( perp(esk2_0,esk1_0,esk2_0,esk3_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_57,c_0_155]) ).

fof(c_0_160,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_161,negated_conjecture,
    ( para(esk2_0,esk1_0,esk5_0,esk5_0)
    | ~ midp(esk5_0,esk2_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_131]) ).

cnf(c_0_162,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_163,negated_conjecture,
    cong(esk5_0,X1,esk5_0,X1),
    inference(spm,[status(thm)],[c_0_42,c_0_158]) ).

cnf(c_0_164,negated_conjecture,
    perp(esk2_0,esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_128])]) ).

cnf(c_0_165,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_166,negated_conjecture,
    para(esk2_0,esk1_0,esk5_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_149])]) ).

cnf(c_0_167,negated_conjecture,
    perp(esk5_0,esk5_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_163])]) ).

cnf(c_0_168,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_55,c_0_164]) ).

cnf(c_0_169,negated_conjecture,
    perp(esk2_0,esk1_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]) ).

cnf(c_0_170,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X2,X1,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_168]) ).

cnf(c_0_171,negated_conjecture,
    perp(X1,X2,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_57,c_0_169]) ).

cnf(c_0_172,negated_conjecture,
    para(X1,X2,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).

cnf(c_0_173,negated_conjecture,
    para(esk2_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_110,c_0_172]) ).

fof(c_0_174,plain,
    ! [X1,X3,X13,X6,X4] :
      ( ( eqangle(X4,X1,X1,X6,X3,X1,X1,X13)
        & ( eqangle(X1,X4,X4,X6,X1,X3,X3,X13)
          | eqangle(X4,X1,X1,X6,X3,X1,X1,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X3,X3,X13) )
        & ( eqangle(X1,X4,X4,X6,X1,X13,X13,X3)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) )
        & ( eqangle(X1,X4,X4,X6,X3,X1,X1,X13)
          | eqangle(X4,X1,X1,X6,X1,X13,X13,X3) ) )
     => epred1_5(X4,X6,X13,X1,X3) ),
    inference(split_equiv,[status(thm)],[c_0_34]) ).

cnf(c_0_175,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_173]),c_0_172])]) ).

fof(c_0_176,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X14,X18,X18,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X14,X18,X18,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) )
      & ( ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X16,X16,X15)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X14,X15,X15,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | ~ eqangle(X18,X14,X14,X17,X15,X14,X14,X16)
        | epred1_5(X18,X17,X16,X14,X15) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_174])])]) ).

cnf(c_0_177,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_175])]) ).

cnf(c_0_178,plain,
    ( epred1_5(X1,X2,X3,X4,X5)
    | ~ eqangle(X1,X4,X4,X2,X5,X4,X4,X3)
    | ~ eqangle(X1,X4,X4,X2,X5,X4,X4,X3)
    | ~ eqangle(X1,X4,X4,X2,X4,X5,X5,X3)
    | ~ eqangle(X1,X4,X4,X2,X4,X5,X5,X3)
    | ~ eqangle(X1,X4,X4,X2,X4,X3,X3,X5)
    | ~ eqangle(X1,X4,X4,X2,X4,X3,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_176]) ).

fof(c_0_179,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_180,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(spm,[status(thm)],[c_0_76,c_0_177]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ eqangle(esk1_0,esk4_0,esk4_0,esk6_0,esk1_0,esk3_0,esk3_0,esk7_0)
    | ~ epred1_5(esk4_0,esk6_0,esk7_0,esk1_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_182,plain,
    ( epred1_5(X1,X2,X3,X4,X5)
    | ~ eqangle(X1,X4,X4,X2,X5,X4,X4,X3)
    | ~ eqangle(X1,X4,X4,X2,X4,X5,X5,X3)
    | ~ eqangle(X1,X4,X4,X2,X4,X3,X3,X5) ),
    inference(cn,[status(thm)],[c_0_178]) ).

cnf(c_0_183,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_179]) ).

cnf(c_0_184,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_108,c_0_180]) ).

cnf(c_0_185,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_108,c_0_177]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ eqangle(esk1_0,esk4_0,esk4_0,esk6_0,esk1_0,esk3_0,esk3_0,esk7_0)
    | ~ eqangle(esk4_0,esk1_0,esk1_0,esk6_0,esk3_0,esk1_0,esk1_0,esk7_0)
    | ~ eqangle(esk4_0,esk1_0,esk1_0,esk6_0,esk1_0,esk3_0,esk3_0,esk7_0)
    | ~ eqangle(esk4_0,esk1_0,esk1_0,esk6_0,esk1_0,esk7_0,esk7_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_187,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185])]) ).

cnf(c_0_188,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187]),c_0_187]),c_0_187]),c_0_187])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : GEO599+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.14  % Command  : run_ET %s %d
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 01:44:04 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.26/1.45  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.45  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.45  # Preprocessing time       : 0.027 s
% 0.26/1.45  
% 0.26/1.45  # Proof found!
% 0.26/1.45  # SZS status Theorem
% 0.26/1.45  # SZS output start CNFRefutation
% See solution above
% 0.26/1.45  # Proof object total steps             : 189
% 0.26/1.45  # Proof object clause steps            : 117
% 0.26/1.45  # Proof object formula steps           : 72
% 0.26/1.45  # Proof object conjectures             : 73
% 0.26/1.45  # Proof object clause conjectures      : 70
% 0.26/1.45  # Proof object formula conjectures     : 3
% 0.26/1.45  # Proof object initial clauses used    : 38
% 0.26/1.45  # Proof object initial formulas used   : 34
% 0.26/1.45  # Proof object generating inferences   : 70
% 0.26/1.45  # Proof object simplifying inferences  : 38
% 0.26/1.45  # Training examples: 0 positive, 0 negative
% 0.26/1.45  # Parsed axioms                        : 95
% 0.26/1.45  # Removed by relevancy pruning/SinE    : 21
% 0.26/1.45  # Initial clauses                      : 131
% 0.26/1.45  # Removed in clause preprocessing      : 0
% 0.26/1.45  # Initial clauses in saturation        : 131
% 0.26/1.45  # Processed clauses                    : 4852
% 0.26/1.45  # ...of these trivial                  : 613
% 0.26/1.45  # ...subsumed                          : 1550
% 0.26/1.45  # ...remaining for further processing  : 2689
% 0.26/1.45  # Other redundant clauses eliminated   : 0
% 0.26/1.45  # Clauses deleted for lack of memory   : 0
% 0.26/1.45  # Backward-subsumed                    : 183
% 0.26/1.45  # Backward-rewritten                   : 2241
% 0.26/1.45  # Generated clauses                    : 35428
% 0.26/1.45  # ...of the previous two non-trivial   : 30020
% 0.26/1.45  # Contextual simplify-reflections      : 109
% 0.26/1.45  # Paramodulations                      : 35428
% 0.26/1.45  # Factorizations                       : 0
% 0.26/1.45  # Equation resolutions                 : 0
% 0.26/1.45  # Current number of processed clauses  : 265
% 0.26/1.45  #    Positive orientable unit clauses  : 66
% 0.26/1.45  #    Positive unorientable unit clauses: 0
% 0.26/1.45  #    Negative unit clauses             : 0
% 0.26/1.45  #    Non-unit-clauses                  : 199
% 0.26/1.45  # Current number of unprocessed clauses: 1530
% 0.26/1.45  # ...number of literals in the above   : 5479
% 0.26/1.45  # Current number of archived formulas  : 0
% 0.26/1.45  # Current number of archived clauses   : 2424
% 0.26/1.45  # Clause-clause subsumption calls (NU) : 674557
% 0.26/1.45  # Rec. Clause-clause subsumption calls : 449266
% 0.26/1.45  # Non-unit clause-clause subsumptions  : 1756
% 0.26/1.45  # Unit Clause-clause subsumption calls : 175457
% 0.26/1.45  # Rewrite failures with RHS unbound    : 0
% 0.26/1.45  # BW rewrite match attempts            : 28085
% 0.26/1.45  # BW rewrite match successes           : 1613
% 0.26/1.45  # Condensation attempts                : 0
% 0.26/1.45  # Condensation successes               : 0
% 0.26/1.45  # Termbank termtop insertions          : 519104
% 0.26/1.45  
% 0.26/1.45  # -------------------------------------------------
% 0.26/1.45  # User time                : 0.950 s
% 0.26/1.45  # System time              : 0.013 s
% 0.26/1.45  # Total time               : 0.963 s
% 0.26/1.45  # Maximum resident set size: 21360 pages
% 0.26/23.44  eprover: CPU time limit exceeded, terminating
% 0.26/23.44  eprover: CPU time limit exceeded, terminating
% 0.26/23.46  eprover: CPU time limit exceeded, terminating
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.26/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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.mepo_128.in
% 0.26/23.47  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
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.47  eprover: No such file or directory
% 0.26/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.26/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 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
% 0.26/23.48  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.mepo_128.in
% 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
% 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
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49  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
% 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
% 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
% 0.26/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.50  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.51  eprover: No such file or directory
% 0.26/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.26/23.51  eprover: No such file or directory
%------------------------------------------------------------------------------