TSTP Solution File: GEO564+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO564+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n004.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 04:06:23 EDT 2022

% Result   : Theorem 0.37s 18.55s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  215 (  91 unt;   0 def)
%            Number of atoms       :  731 (   0 equ)
%            Maximal formula atoms :  224 (   3 avg)
%            Number of connectives :  851 ( 335   ~; 346   |; 140   &)
%                                         (   1 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  612 (  42 sgn 320   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214026,conjecture,
    ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
      ( ( perp(X1,X2,X3,X14)
        & perp(X1,X3,X2,X14)
        & perp(X2,X3,X1,X14)
        & midp(X22,X1,X2)
        & perp(X1,X2,X22,X8)
        & midp(X23,X1,X3)
        & perp(X1,X3,X23,X8)
        & midp(X24,X2,X3)
        & perp(X2,X3,X24,X8)
        & midp(X25,X1,X14)
        & perp(X1,X14,X25,X19)
        & midp(X26,X1,X2)
        & perp(X1,X2,X26,X19)
        & midp(X27,X14,X2)
        & perp(X14,X2,X27,X19)
        & midp(X28,X2,X14)
        & perp(X2,X14,X28,X20)
        & midp(X29,X2,X3)
        & perp(X2,X3,X29,X20)
        & midp(X30,X14,X3)
        & perp(X14,X3,X30,X20)
        & midp(X31,X3,X14)
        & perp(X3,X14,X31,X21)
        & midp(X32,X3,X1)
        & perp(X3,X1,X32,X21)
        & midp(X33,X14,X1)
        & perp(X14,X1,X33,X21) )
     => ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
        & ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
          | eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
        & eqangle(X1,X2,X2,X3,X20,X21,X21,X19) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL214026) ).

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

fof(ruleD40,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( para(X1,X2,X3,X4)
     => eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(ruleD19,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(ruleD21,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(ruleD39,axiom,
    ! [X1,X2,X3,X4,X9,X10] :
      ( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(ruleD7,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

fof(ruleD73,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & para(X9,X10,X11,X12) )
     => para(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

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

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(ruleD44,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & midp(X6,X1,X3) )
     => para(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

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

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

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

fof(ruleD67,axiom,
    ! [X1,X2,X3] :
      ( ( cong(X1,X2,X1,X3)
        & coll(X1,X2,X3) )
     => midp(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X1,X2,X3,X4)
        & perp(X3,X4,X5,X6) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

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

fof(ruleD23,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(ruleD24,axiom,
    ! [X1,X2,X3,X4] :
      ( cong(X1,X2,X3,X4)
     => cong(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD56,axiom,
    ! [X1,X2,X9,X10] :
      ( ( cong(X1,X9,X2,X9)
        & cong(X1,X10,X2,X10) )
     => perp(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(ruleD64,axiom,
    ! [X1,X2,X3,X4,X7] :
      ( ( midp(X7,X1,X2)
        & para(X1,X3,X2,X4)
        & para(X1,X4,X2,X3) )
     => midp(X7,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(ruleD68,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => cong(X1,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(ruleD22,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
      ( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
        & eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
     => eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(c_0_27,plain,
    ! [X1,X19,X20,X21,X3,X2] :
      ( epred1_6(X2,X3,X21,X1,X19,X20)
    <=> ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
        & ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
          | eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) ) ) ),
    introduced(definition) ).

fof(c_0_28,negated_conjecture,
    ~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
        ( ( perp(X1,X2,X3,X14)
          & perp(X1,X3,X2,X14)
          & perp(X2,X3,X1,X14)
          & midp(X22,X1,X2)
          & perp(X1,X2,X22,X8)
          & midp(X23,X1,X3)
          & perp(X1,X3,X23,X8)
          & midp(X24,X2,X3)
          & perp(X2,X3,X24,X8)
          & midp(X25,X1,X14)
          & perp(X1,X14,X25,X19)
          & midp(X26,X1,X2)
          & perp(X1,X2,X26,X19)
          & midp(X27,X14,X2)
          & perp(X14,X2,X27,X19)
          & midp(X28,X2,X14)
          & perp(X2,X14,X28,X20)
          & midp(X29,X2,X3)
          & perp(X2,X3,X29,X20)
          & midp(X30,X14,X3)
          & perp(X14,X3,X30,X20)
          & midp(X31,X3,X14)
          & perp(X3,X14,X31,X21)
          & midp(X32,X3,X1)
          & perp(X3,X1,X32,X21)
          & midp(X33,X14,X1)
          & perp(X14,X1,X33,X21) )
       => ( epred1_6(X2,X3,X21,X1,X19,X20)
          & eqangle(X1,X2,X2,X3,X20,X21,X21,X19) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[exemplo6GDDFULL214026]),c_0_27]) ).

fof(c_0_29,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])])])]) ).

fof(c_0_30,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk3_0,esk4_0)
    & perp(esk1_0,esk3_0,esk2_0,esk4_0)
    & perp(esk2_0,esk3_0,esk1_0,esk4_0)
    & midp(esk9_0,esk1_0,esk2_0)
    & perp(esk1_0,esk2_0,esk9_0,esk5_0)
    & midp(esk10_0,esk1_0,esk3_0)
    & perp(esk1_0,esk3_0,esk10_0,esk5_0)
    & midp(esk11_0,esk2_0,esk3_0)
    & perp(esk2_0,esk3_0,esk11_0,esk5_0)
    & midp(esk12_0,esk1_0,esk4_0)
    & perp(esk1_0,esk4_0,esk12_0,esk6_0)
    & midp(esk13_0,esk1_0,esk2_0)
    & perp(esk1_0,esk2_0,esk13_0,esk6_0)
    & midp(esk14_0,esk4_0,esk2_0)
    & perp(esk4_0,esk2_0,esk14_0,esk6_0)
    & midp(esk15_0,esk2_0,esk4_0)
    & perp(esk2_0,esk4_0,esk15_0,esk7_0)
    & midp(esk16_0,esk2_0,esk3_0)
    & perp(esk2_0,esk3_0,esk16_0,esk7_0)
    & midp(esk17_0,esk4_0,esk3_0)
    & perp(esk4_0,esk3_0,esk17_0,esk7_0)
    & midp(esk18_0,esk3_0,esk4_0)
    & perp(esk3_0,esk4_0,esk18_0,esk8_0)
    & midp(esk19_0,esk3_0,esk1_0)
    & perp(esk3_0,esk1_0,esk19_0,esk8_0)
    & midp(esk20_0,esk4_0,esk1_0)
    & perp(esk4_0,esk1_0,esk20_0,esk8_0)
    & ( ~ epred1_6(esk2_0,esk3_0,esk8_0,esk1_0,esk6_0,esk7_0)
      | ~ eqangle(esk1_0,esk2_0,esk2_0,esk3_0,esk7_0,esk8_0,esk8_0,esk6_0) ) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).

fof(c_0_31,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_32,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,negated_conjecture,
    midp(esk20_0,esk4_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ( para(X1,esk4_0,X2,esk1_0)
    | ~ midp(esk20_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_36,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_37,negated_conjecture,
    ( eqangle(X1,esk4_0,X2,X3,X4,esk1_0,X2,X3)
    | ~ midp(esk20_0,X1,X4) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_38,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X13,X14,X17,X18,X15,X16,X19,X20) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).

cnf(c_0_39,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_36]) ).

cnf(c_0_40,negated_conjecture,
    eqangle(esk4_0,esk4_0,X1,X2,esk1_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_37,c_0_33]) ).

fof(c_0_41,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_42,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])]) ).

fof(c_0_43,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_44,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_38]) ).

cnf(c_0_45,negated_conjecture,
    eqangle(X1,X2,esk4_0,esk4_0,X1,X2,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_46,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

fof(c_0_47,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_48,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    perp(esk1_0,esk4_0,esk12_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_50,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_51,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_43]) ).

cnf(c_0_52,negated_conjecture,
    eqangle(X1,X2,X1,X2,esk4_0,esk4_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_53,negated_conjecture,
    para(esk4_0,esk4_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_46,c_0_40]) ).

cnf(c_0_54,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    perp(esk1_0,esk4_0,esk6_0,esk12_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_56,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_57,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_58,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_59,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).

cnf(c_0_60,negated_conjecture,
    perp(esk1_0,esk2_0,esk13_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_61,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ midp(X11,X7,X9)
      | para(X10,X11,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

fof(c_0_62,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_63,negated_conjecture,
    perp(esk6_0,esk12_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_64,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_65,negated_conjecture,
    midp(esk12_0,esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_66,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_67,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_68,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_69,negated_conjecture,
    perp(esk4_0,esk2_0,esk14_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_70,negated_conjecture,
    perp(esk1_0,esk2_0,esk6_0,esk13_0),
    inference(spm,[status(thm)],[c_0_48,c_0_60]) ).

fof(c_0_71,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_72,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_73,negated_conjecture,
    midp(esk14_0,esk4_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_74,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_75,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_76,negated_conjecture,
    perp(esk6_0,esk12_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_48,c_0_63]) ).

cnf(c_0_77,negated_conjecture,
    midp(esk12_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_78,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_79,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_80,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_81,negated_conjecture,
    perp(esk14_0,esk6_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_69]) ).

cnf(c_0_82,negated_conjecture,
    perp(esk6_0,esk13_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_70]) ).

cnf(c_0_83,negated_conjecture,
    midp(esk13_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_84,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_85,negated_conjecture,
    ( para(X1,esk14_0,X2,esk2_0)
    | ~ midp(X1,esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_86,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_87,negated_conjecture,
    cong(esk6_0,esk4_0,esk6_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).

cnf(c_0_88,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_89,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_90,negated_conjecture,
    ( para(X1,esk12_0,X2,esk4_0)
    | ~ midp(X1,esk1_0,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_65]) ).

cnf(c_0_91,negated_conjecture,
    perp(esk14_0,esk6_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_48,c_0_81]) ).

cnf(c_0_92,negated_conjecture,
    cong(esk6_0,esk1_0,esk6_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_82]),c_0_83])]) ).

cnf(c_0_93,negated_conjecture,
    ( perp(X1,esk14_0,X2,X3)
    | ~ midp(X1,esk4_0,X4)
    | ~ perp(X4,esk2_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_94,negated_conjecture,
    perp(esk1_0,esk2_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_95,negated_conjecture,
    ( midp(esk6_0,esk4_0,esk1_0)
    | ~ coll(esk6_0,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_96,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_89])]) ).

cnf(c_0_97,negated_conjecture,
    perp(esk2_0,esk3_0,esk16_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_98,negated_conjecture,
    ( perp(X1,esk12_0,X2,X3)
    | ~ midp(X1,esk1_0,X4)
    | ~ perp(X4,esk4_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_84,c_0_90]) ).

cnf(c_0_99,negated_conjecture,
    perp(esk2_0,esk4_0,esk14_0,esk6_0),
    inference(spm,[status(thm)],[c_0_54,c_0_91]) ).

cnf(c_0_100,negated_conjecture,
    ( midp(esk6_0,esk1_0,esk2_0)
    | ~ coll(esk6_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    ( perp(X1,esk14_0,esk3_0,esk4_0)
    | ~ midp(X1,esk4_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_102,negated_conjecture,
    midp(esk6_0,esk4_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]) ).

cnf(c_0_103,negated_conjecture,
    perp(esk2_0,esk3_0,esk7_0,esk16_0),
    inference(spm,[status(thm)],[c_0_48,c_0_97]) ).

cnf(c_0_104,negated_conjecture,
    ( perp(X1,esk12_0,esk14_0,esk6_0)
    | ~ midp(X1,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_105,negated_conjecture,
    midp(esk6_0,esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_96])]) ).

cnf(c_0_106,negated_conjecture,
    midp(esk15_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_107,negated_conjecture,
    perp(esk6_0,esk14_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_108,negated_conjecture,
    perp(esk7_0,esk16_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_103]) ).

cnf(c_0_109,negated_conjecture,
    midp(esk16_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_110,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])]) ).

cnf(c_0_111,negated_conjecture,
    perp(esk6_0,esk12_0,esk14_0,esk6_0),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_112,negated_conjecture,
    ( para(X1,esk15_0,X2,esk4_0)
    | ~ midp(X1,esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    perp(esk3_0,esk4_0,esk6_0,esk14_0),
    inference(spm,[status(thm)],[c_0_54,c_0_107]) ).

cnf(c_0_114,negated_conjecture,
    cong(esk7_0,esk2_0,esk7_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_108]),c_0_109])]) ).

cnf(c_0_115,negated_conjecture,
    perp(esk1_0,esk3_0,esk2_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_116,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_117,negated_conjecture,
    perp(esk14_0,esk6_0,esk6_0,esk12_0),
    inference(spm,[status(thm)],[c_0_54,c_0_111]) ).

cnf(c_0_118,negated_conjecture,
    ( perp(X1,esk15_0,X2,X3)
    | ~ midp(X1,esk2_0,X4)
    | ~ perp(X4,esk4_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_84,c_0_112]) ).

cnf(c_0_119,negated_conjecture,
    perp(esk3_0,esk4_0,esk14_0,esk6_0),
    inference(spm,[status(thm)],[c_0_48,c_0_113]) ).

cnf(c_0_120,negated_conjecture,
    ( midp(esk7_0,esk2_0,esk3_0)
    | ~ coll(esk7_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_86,c_0_114]) ).

cnf(c_0_121,negated_conjecture,
    ( para(X1,esk20_0,X2,esk1_0)
    | ~ midp(X1,esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_72,c_0_33]) ).

cnf(c_0_122,negated_conjecture,
    perp(esk2_0,esk4_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_115]) ).

cnf(c_0_123,negated_conjecture,
    ( para(X1,X2,esk12_0,esk6_0)
    | ~ perp(X1,X2,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_49]) ).

cnf(c_0_124,negated_conjecture,
    perp(esk14_0,esk6_0,esk12_0,esk6_0),
    inference(spm,[status(thm)],[c_0_48,c_0_117]) ).

cnf(c_0_125,negated_conjecture,
    ( perp(X1,esk15_0,esk14_0,esk6_0)
    | ~ midp(X1,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_126,negated_conjecture,
    midp(esk7_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_96])]) ).

fof(c_0_127,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])]) ).

cnf(c_0_128,negated_conjecture,
    ( eqangle(X1,esk20_0,X2,X3,X4,esk1_0,X2,X3)
    | ~ midp(X1,esk4_0,X4) ),
    inference(spm,[status(thm)],[c_0_34,c_0_121]) ).

cnf(c_0_129,negated_conjecture,
    midp(esk17_0,esk4_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_130,negated_conjecture,
    perp(esk2_0,esk4_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_48,c_0_122]) ).

cnf(c_0_131,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk12_0,esk6_0,X3,X4)
    | ~ perp(X1,X2,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_123]) ).

cnf(c_0_132,negated_conjecture,
    perp(esk12_0,esk6_0,esk14_0,esk6_0),
    inference(spm,[status(thm)],[c_0_54,c_0_124]) ).

cnf(c_0_133,negated_conjecture,
    perp(esk7_0,esk15_0,esk14_0,esk6_0),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_134,negated_conjecture,
    perp(esk2_0,esk3_0,esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_135,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_136,negated_conjecture,
    ( para(X1,X2,esk14_0,esk6_0)
    | ~ perp(X1,X2,esk4_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_69]) ).

cnf(c_0_137,negated_conjecture,
    eqangle(esk17_0,esk20_0,X1,X2,esk3_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_138,negated_conjecture,
    perp(esk3_0,esk1_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_54,c_0_130]) ).

cnf(c_0_139,negated_conjecture,
    ( perp(X1,X2,esk14_0,esk6_0)
    | ~ perp(X1,X2,esk1_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_140,negated_conjecture,
    perp(esk2_0,esk4_0,esk15_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_141,negated_conjecture,
    perp(esk14_0,esk6_0,esk7_0,esk15_0),
    inference(spm,[status(thm)],[c_0_54,c_0_133]) ).

cnf(c_0_142,negated_conjecture,
    ( para(X1,X2,esk1_0,esk4_0)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_134]) ).

cnf(c_0_143,negated_conjecture,
    ( para(X1,X2,esk14_0,esk6_0)
    | ~ perp(X3,X4,esk4_0,esk2_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_144,negated_conjecture,
    para(esk17_0,esk20_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_46,c_0_137]) ).

cnf(c_0_145,negated_conjecture,
    perp(esk3_0,esk1_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_48,c_0_138]) ).

cnf(c_0_146,negated_conjecture,
    perp(esk2_0,esk3_0,esk14_0,esk6_0),
    inference(spm,[status(thm)],[c_0_139,c_0_134]) ).

cnf(c_0_147,negated_conjecture,
    ( perp(X1,esk20_0,X2,X3)
    | ~ midp(X1,esk4_0,X4)
    | ~ perp(X4,esk1_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_84,c_0_121]) ).

cnf(c_0_148,negated_conjecture,
    ( para(X1,X2,esk15_0,esk7_0)
    | ~ perp(X1,X2,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_140]) ).

cnf(c_0_149,negated_conjecture,
    perp(esk14_0,esk6_0,esk15_0,esk7_0),
    inference(spm,[status(thm)],[c_0_48,c_0_141]) ).

fof(c_0_150,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_151,negated_conjecture,
    perp(esk6_0,esk13_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_48,c_0_82]) ).

cnf(c_0_152,negated_conjecture,
    midp(esk13_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_64,c_0_83]) ).

fof(c_0_153,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_154,negated_conjecture,
    ( para(X1,X2,esk1_0,esk4_0)
    | ~ perp(X3,X4,esk2_0,esk3_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_135,c_0_142]) ).

cnf(c_0_155,negated_conjecture,
    para(esk17_0,esk20_0,esk14_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).

cnf(c_0_156,negated_conjecture,
    perp(esk14_0,esk6_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_146]) ).

cnf(c_0_157,negated_conjecture,
    ( perp(X1,esk20_0,esk2_0,esk4_0)
    | ~ midp(X1,esk4_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_147,c_0_138]) ).

cnf(c_0_158,negated_conjecture,
    ( perp(X1,X2,X3,X4)
    | ~ perp(esk15_0,esk7_0,X3,X4)
    | ~ perp(X1,X2,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_84,c_0_148]) ).

cnf(c_0_159,negated_conjecture,
    perp(esk15_0,esk7_0,esk14_0,esk6_0),
    inference(spm,[status(thm)],[c_0_54,c_0_149]) ).

fof(c_0_160,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_161,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_162,negated_conjecture,
    cong(esk6_0,esk2_0,esk6_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_151]),c_0_152])]) ).

cnf(c_0_163,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_164,negated_conjecture,
    para(esk17_0,esk20_0,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156])]) ).

cnf(c_0_165,negated_conjecture,
    perp(esk17_0,esk20_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_157,c_0_129]) ).

cnf(c_0_166,negated_conjecture,
    ( perp(X1,X2,esk14_0,esk6_0)
    | ~ perp(X1,X2,esk2_0,esk4_0) ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_167,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_160]) ).

cnf(c_0_168,negated_conjecture,
    cong(esk6_0,esk2_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_169,negated_conjecture,
    ( para(X1,X2,esk2_0,esk4_0)
    | ~ perp(X1,X2,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_115]) ).

cnf(c_0_170,negated_conjecture,
    para(esk1_0,esk4_0,esk17_0,esk20_0),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_171,negated_conjecture,
    perp(esk17_0,esk20_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_48,c_0_165]) ).

cnf(c_0_172,negated_conjecture,
    perp(esk1_0,esk3_0,esk14_0,esk6_0),
    inference(spm,[status(thm)],[c_0_166,c_0_115]) ).

fof(c_0_173,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_174,negated_conjecture,
    cong(esk1_0,esk6_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

fof(c_0_175,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_176,negated_conjecture,
    ( para(X1,X2,esk2_0,esk4_0)
    | ~ perp(X3,X4,esk1_0,esk3_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_135,c_0_169]) ).

cnf(c_0_177,negated_conjecture,
    para(esk1_0,esk4_0,esk14_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_170]),c_0_171])]) ).

cnf(c_0_178,negated_conjecture,
    perp(esk14_0,esk6_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_54,c_0_172]) ).

cnf(c_0_179,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_173]) ).

cnf(c_0_180,negated_conjecture,
    cong(esk1_0,esk6_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_161,c_0_174]) ).

fof(c_0_181,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_182,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_175]) ).

cnf(c_0_183,negated_conjecture,
    para(esk1_0,esk4_0,esk2_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178])]) ).

cnf(c_0_184,negated_conjecture,
    ( perp(esk1_0,esk2_0,X1,esk6_0)
    | ~ cong(esk1_0,X1,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_185,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_181]) ).

cnf(c_0_186,negated_conjecture,
    ( midp(X1,esk4_0,esk4_0)
    | ~ midp(X1,esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_183])]) ).

cnf(c_0_187,negated_conjecture,
    perp(esk1_0,esk2_0,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_184,c_0_180]) ).

cnf(c_0_188,plain,
    ( perp(X1,X1,X2,X3)
    | ~ cong(X1,X2,X1,X2)
    | ~ midp(X1,X3,X3) ),
    inference(spm,[status(thm)],[c_0_179,c_0_185]) ).

cnf(c_0_189,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_59]),c_0_59])]) ).

cnf(c_0_190,negated_conjecture,
    midp(esk6_0,esk4_0,esk4_0),
    inference(spm,[status(thm)],[c_0_186,c_0_105]) ).

cnf(c_0_191,negated_conjecture,
    perp(esk6_0,esk6_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_54,c_0_187]) ).

cnf(c_0_192,plain,
    ( perp(X1,X1,X2,X3)
    | ~ midp(X1,X3,X3)
    | ~ midp(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_188,c_0_185]) ).

cnf(c_0_193,negated_conjecture,
    midp(esk6_0,X1,X1),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_194,negated_conjecture,
    perp(esk6_0,esk6_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_48,c_0_191]) ).

cnf(c_0_195,negated_conjecture,
    perp(esk6_0,esk6_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_193])]) ).

cnf(c_0_196,negated_conjecture,
    ( para(X1,X2,esk2_0,esk1_0)
    | ~ perp(X1,X2,esk6_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_116,c_0_194]) ).

cnf(c_0_197,negated_conjecture,
    perp(X1,X2,esk6_0,esk6_0),
    inference(spm,[status(thm)],[c_0_54,c_0_195]) ).

cnf(c_0_198,negated_conjecture,
    para(X1,X2,esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]) ).

cnf(c_0_199,negated_conjecture,
    para(esk2_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_163,c_0_198]) ).

fof(c_0_200,plain,
    ! [X1,X19,X20,X21,X3,X2] :
      ( ( eqangle(X2,X1,X1,X3,X21,X20,X20,X19)
        & ( eqangle(X1,X2,X2,X3,X20,X21,X21,X19)
          | eqangle(X2,X1,X1,X3,X21,X20,X20,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X21,X21,X19) )
        & ( eqangle(X1,X2,X2,X3,X20,X19,X19,X21)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) )
        & ( eqangle(X1,X2,X2,X3,X21,X20,X20,X19)
          | eqangle(X2,X1,X1,X3,X20,X19,X19,X21) ) )
     => epred1_6(X2,X3,X21,X1,X19,X20) ),
    inference(split_equiv,[status(thm)],[c_0_27]) ).

cnf(c_0_201,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_199]),c_0_198])]) ).

fof(c_0_202,plain,
    ! [X22,X23,X24,X25,X26,X27] :
      ( ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X22,X27,X27,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X22,X27,X27,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) )
      & ( ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X23,X23,X25)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X24,X25,X25,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | ~ eqangle(X27,X22,X22,X26,X25,X24,X24,X23)
        | epred1_6(X27,X26,X25,X22,X23,X24) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_200])])]) ).

cnf(c_0_203,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_201])]) ).

cnf(c_0_204,plain,
    ( epred1_6(X1,X2,X3,X4,X5,X6)
    | ~ eqangle(X1,X4,X4,X2,X3,X6,X6,X5)
    | ~ eqangle(X1,X4,X4,X2,X3,X6,X6,X5)
    | ~ eqangle(X1,X4,X4,X2,X6,X3,X3,X5)
    | ~ eqangle(X1,X4,X4,X2,X6,X3,X3,X5)
    | ~ eqangle(X1,X4,X4,X2,X6,X5,X5,X3)
    | ~ eqangle(X1,X4,X4,X2,X6,X5,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_202]) ).

fof(c_0_205,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_206,plain,
    eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
    inference(spm,[status(thm)],[c_0_39,c_0_203]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ eqangle(esk1_0,esk2_0,esk2_0,esk3_0,esk7_0,esk8_0,esk8_0,esk6_0)
    | ~ epred1_6(esk2_0,esk3_0,esk8_0,esk1_0,esk6_0,esk7_0) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_208,plain,
    ( epred1_6(X1,X2,X3,X4,X5,X6)
    | ~ eqangle(X1,X4,X4,X2,X6,X5,X5,X3)
    | ~ eqangle(X1,X4,X4,X2,X6,X3,X3,X5)
    | ~ eqangle(X1,X4,X4,X2,X3,X6,X6,X5) ),
    inference(cn,[status(thm)],[c_0_204]) ).

cnf(c_0_209,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_205]) ).

cnf(c_0_210,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_44,c_0_206]) ).

cnf(c_0_211,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_44,c_0_203]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ eqangle(esk1_0,esk2_0,esk2_0,esk3_0,esk7_0,esk8_0,esk8_0,esk6_0)
    | ~ eqangle(esk2_0,esk1_0,esk1_0,esk3_0,esk7_0,esk6_0,esk6_0,esk8_0)
    | ~ eqangle(esk2_0,esk1_0,esk1_0,esk3_0,esk7_0,esk8_0,esk8_0,esk6_0)
    | ~ eqangle(esk2_0,esk1_0,esk1_0,esk3_0,esk8_0,esk7_0,esk7_0,esk6_0) ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_213,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211])]) ).

cnf(c_0_214,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_212,c_0_213]),c_0_213]),c_0_213]),c_0_213])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO564+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n004.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 02:17:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.37/18.55  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.37/18.55  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.37/18.55  # Preprocessing time       : 0.029 s
% 0.37/18.55  
% 0.37/18.55  # Proof found!
% 0.37/18.55  # SZS status Theorem
% 0.37/18.55  # SZS output start CNFRefutation
% See solution above
% 0.37/18.55  # Proof object total steps             : 215
% 0.37/18.55  # Proof object clause steps            : 157
% 0.37/18.55  # Proof object formula steps           : 58
% 0.37/18.55  # Proof object conjectures             : 125
% 0.37/18.55  # Proof object clause conjectures      : 122
% 0.37/18.55  # Proof object formula conjectures     : 3
% 0.37/18.55  # Proof object initial clauses used    : 43
% 0.37/18.55  # Proof object initial formulas used   : 27
% 0.37/18.55  # Proof object generating inferences   : 107
% 0.37/18.55  # Proof object simplifying inferences  : 46
% 0.37/18.55  # Training examples: 0 positive, 0 negative
% 0.37/18.55  # Parsed axioms                        : 95
% 0.37/18.55  # Removed by relevancy pruning/SinE    : 43
% 0.37/18.55  # Initial clauses                      : 126
% 0.37/18.55  # Removed in clause preprocessing      : 0
% 0.37/18.55  # Initial clauses in saturation        : 126
% 0.37/18.55  # Processed clauses                    : 26982
% 0.37/18.55  # ...of these trivial                  : 4525
% 0.37/18.55  # ...subsumed                          : 1654
% 0.37/18.55  # ...remaining for further processing  : 20803
% 0.37/18.55  # Other redundant clauses eliminated   : 0
% 0.37/18.55  # Clauses deleted for lack of memory   : 225173
% 0.37/18.55  # Backward-subsumed                    : 436
% 0.37/18.55  # Backward-rewritten                   : 7092
% 0.37/18.55  # Generated clauses                    : 462144
% 0.37/18.55  # ...of the previous two non-trivial   : 401202
% 0.37/18.55  # Contextual simplify-reflections      : 306
% 0.37/18.55  # Paramodulations                      : 462144
% 0.37/18.55  # Factorizations                       : 0
% 0.37/18.55  # Equation resolutions                 : 0
% 0.37/18.55  # Current number of processed clauses  : 13275
% 0.37/18.55  #    Positive orientable unit clauses  : 9758
% 0.37/18.55  #    Positive unorientable unit clauses: 0
% 0.37/18.55  #    Negative unit clauses             : 0
% 0.37/18.55  #    Non-unit-clauses                  : 3517
% 0.37/18.55  # Current number of unprocessed clauses: 52922
% 0.37/18.55  # ...number of literals in the above   : 112797
% 0.37/18.55  # Current number of archived formulas  : 0
% 0.37/18.55  # Current number of archived clauses   : 7528
% 0.37/18.55  # Clause-clause subsumption calls (NU) : 2887924
% 0.37/18.55  # Rec. Clause-clause subsumption calls : 1782161
% 0.37/18.55  # Non-unit clause-clause subsumptions  : 2138
% 0.37/18.55  # Unit Clause-clause subsumption calls : 5633232
% 0.37/18.55  # Rewrite failures with RHS unbound    : 0
% 0.37/18.55  # BW rewrite match attempts            : 769616
% 0.37/18.55  # BW rewrite match successes           : 4905
% 0.37/18.55  # Condensation attempts                : 0
% 0.37/18.55  # Condensation successes               : 0
% 0.37/18.55  # Termbank termtop insertions          : 6756103
% 0.37/18.55  
% 0.37/18.55  # -------------------------------------------------
% 0.37/18.55  # User time                : 17.260 s
% 0.37/18.55  # System time              : 0.137 s
% 0.37/18.55  # Total time               : 17.397 s
% 0.37/18.55  # Maximum resident set size: 147304 pages
% 0.37/23.41  eprover: CPU time limit exceeded, terminating
% 0.37/23.42  eprover: CPU time limit exceeded, terminating
% 0.37/23.42  eprover: CPU time limit exceeded, terminating
% 0.37/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.43  eprover: No such file or directory
% 0.37/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.43  eprover: No such file or directory
% 0.37/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.44  eprover: No such file or directory
% 0.37/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.peprover: No such file or directory
% 0.37/23.44  
% 0.37/23.44  eprover: No such file or directory
% 0.37/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.44  eprover: No such file or directory
% 0.37/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.44  eprover: No such file or directory
% 0.37/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.45  eprover: No such file or directory
% 0.37/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.45  eprover: No such file or directory
% 0.37/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.45  eprover: No such file or directory
% 0.37/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.45  eprover: No such file or directory
% 0.37/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.45  eprover: No such file or directory
% 0.37/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.46  eprover: No such file or directory
% 0.37/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.46  eprover: No such file or directory
% 0.37/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.46  eprover: No such file or directory
% 0.37/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.46  eprover: No such file or directory
% 0.37/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.46  eprover: No such file or directory
% 0.37/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.46  eprover: No such file or directory
% 0.37/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.47  eprover: No such file or directory
% 0.37/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.47  eprover: No such file or directory
% 0.37/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.47  eprover: No such file or directory
% 0.37/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.47  eprover: No such file or directory
% 0.37/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.47  eprover: No such file or directory
% 0.37/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.47  eprover: No such file or directory
% 0.37/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.48  eprover: No such file or directory
% 0.37/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.48  eprover: No such file or directory
% 0.37/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.48  eprover: No such file or directory
% 0.37/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.48  eprover: No such file or directory
% 0.37/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.48  eprover: No such file or directory
% 0.37/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.49  eprover: No such file or directory
% 0.37/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.49  eprover: No such file or directory
% 0.37/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.37/23.49  eprover: No such file or directory
% 0.37/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.37/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------