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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO622+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n021.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 04:06:45 EDT 2022

% Result   : Theorem 0.24s 2.41s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  221 (  96 unt;   0 def)
%            Number of atoms       :  406 (   0 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :  312 ( 127   ~; 124   |;  30   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :  547 (  16 sgn 308   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110985,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X19] :
      ( ( circle(X4,X1,X2,X3)
        & eqangle(X5,X1,X1,X3,X5,X1,X1,X2)
        & coll(X5,X2,X3)
        & midpoint(X19,X1,X5)
        & perp(X1,X5,X19,X6)
        & coll(X6,X1,X4) )
     => perp(X5,X6,X2,X3) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL8110985) ).

fof(ruleD20,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
     => eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

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

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

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

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(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(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(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(ruleD51,axiom,
    ! [X1,X2,X3,X8,X7] :
      ( ( circle(X8,X1,X2,X3)
        & coll(X7,X2,X3)
        & eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
     => midp(X7,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).

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

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

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

fof(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(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(c_0_30,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X19] :
        ( ( circle(X4,X1,X2,X3)
          & eqangle(X5,X1,X1,X3,X5,X1,X1,X2)
          & coll(X5,X2,X3)
          & midpoint(X19,X1,X5)
          & perp(X1,X5,X19,X6)
          & coll(X6,X1,X4) )
       => perp(X5,X6,X2,X3) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110985]) ).

fof(c_0_31,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

fof(c_0_32,negated_conjecture,
    ( circle(esk4_0,esk1_0,esk2_0,esk3_0)
    & eqangle(esk5_0,esk1_0,esk1_0,esk3_0,esk5_0,esk1_0,esk1_0,esk2_0)
    & coll(esk5_0,esk2_0,esk3_0)
    & midpoint(esk7_0,esk1_0,esk5_0)
    & perp(esk1_0,esk5_0,esk7_0,esk6_0)
    & coll(esk6_0,esk1_0,esk4_0)
    & ~ perp(esk5_0,esk6_0,esk2_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).

fof(c_0_33,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_34,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_31]) ).

cnf(c_0_35,negated_conjecture,
    eqangle(esk5_0,esk1_0,esk1_0,esk3_0,esk5_0,esk1_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_36,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_37,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_38,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_33]) ).

cnf(c_0_39,negated_conjecture,
    eqangle(esk5_0,esk1_0,esk1_0,esk2_0,esk5_0,esk1_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

fof(c_0_40,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

fof(c_0_41,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_42,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_36]) ).

cnf(c_0_43,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,negated_conjecture,
    eqangle(esk1_0,esk2_0,esk5_0,esk1_0,esk1_0,esk3_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_45,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_46,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk5_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

fof(c_0_48,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_49,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_41]) ).

cnf(c_0_50,negated_conjecture,
    eqangle(esk5_0,esk1_0,esk5_0,esk1_0,esk1_0,esk2_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_42,c_0_39]) ).

cnf(c_0_51,negated_conjecture,
    para(esk1_0,esk2_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_52,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_53,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk5_0,esk1_0,esk1_0,esk2_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_38,c_0_35]) ).

fof(c_0_54,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_55,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_56,negated_conjecture,
    coll(esk5_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_57,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_58,negated_conjecture,
    para(esk5_0,esk1_0,esk5_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

fof(c_0_59,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_60,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_61,negated_conjecture,
    para(esk1_0,esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_43,c_0_53]) ).

cnf(c_0_62,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_63,negated_conjecture,
    coll(esk3_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_64,negated_conjecture,
    eqangle(esk5_0,esk1_0,X1,X2,esk5_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_65,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_66,negated_conjecture,
    para(esk1_0,esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

fof(c_0_67,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ coll(X13,X10,X11)
      | ~ eqangle(X9,X10,X9,X11,X12,X10,X12,X13)
      | midp(X13,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).

cnf(c_0_68,negated_conjecture,
    eqangle(esk1_0,esk2_0,X1,X2,esk1_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_57,c_0_51]) ).

cnf(c_0_69,negated_conjecture,
    ( coll(X1,esk2_0,esk3_0)
    | ~ coll(esk3_0,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

fof(c_0_70,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_71,negated_conjecture,
    eqangle(X1,X2,esk5_0,esk1_0,X1,X2,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_38,c_0_64]) ).

fof(c_0_72,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_73,negated_conjecture,
    para(esk2_0,esk1_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_74,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_75,plain,
    ( midp(X1,X2,X3)
    | ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
    | ~ coll(X1,X2,X3)
    | ~ circle(X5,X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_76,negated_conjecture,
    eqangle(esk1_0,esk2_0,esk1_0,esk3_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_42,c_0_68]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_69,c_0_63]) ).

cnf(c_0_78,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_79,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_43,c_0_71]) ).

cnf(c_0_80,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_72]) ).

cnf(c_0_81,negated_conjecture,
    para(esk2_0,esk1_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_60,c_0_73]) ).

cnf(c_0_82,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_74]) ).

fof(c_0_83,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_84,negated_conjecture,
    ( midp(esk2_0,esk2_0,esk3_0)
    | ~ circle(X1,esk1_0,esk2_0,esk3_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_85,negated_conjecture,
    circle(esk4_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_86,negated_conjecture,
    coll(esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_78,c_0_61]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk6_0,esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_88,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_89,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_79]),c_0_79])]) ).

cnf(c_0_90,negated_conjecture,
    ( midp(X1,esk1_0,esk1_0)
    | ~ midp(X1,esk2_0,esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81])]) ).

cnf(c_0_91,negated_conjecture,
    eqangle(esk1_0,esk5_0,esk1_0,esk2_0,esk5_0,esk1_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_82,c_0_39]) ).

fof(c_0_92,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_93,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_94,negated_conjecture,
    midp(esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_95,negated_conjecture,
    coll(esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_55,c_0_86]) ).

cnf(c_0_96,negated_conjecture,
    coll(esk6_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_46,c_0_87]) ).

cnf(c_0_97,negated_conjecture,
    ( coll(X1,esk4_0,esk6_0)
    | ~ coll(esk6_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_87]) ).

cnf(c_0_98,negated_conjecture,
    eqangle(esk1_0,esk5_0,esk1_0,esk3_0,esk5_0,esk1_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_82,c_0_35]) ).

cnf(c_0_99,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_55,c_0_88]) ).

cnf(c_0_100,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_101,negated_conjecture,
    eqangle(esk5_0,esk1_0,esk1_0,esk3_0,esk1_0,esk5_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_34,c_0_91]) ).

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

fof(c_0_103,plain,
    ! [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_104,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_105,negated_conjecture,
    cong(esk2_0,esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_106,negated_conjecture,
    coll(esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_46,c_0_95]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk4_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_55,c_0_96]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk4_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_97,c_0_87]) ).

cnf(c_0_109,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk1_0,esk5_0,esk1_0,esk2_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_38,c_0_98]) ).

cnf(c_0_110,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_46,c_0_99]) ).

cnf(c_0_111,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk2_0,X1,X2,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_38,c_0_68]) ).

cnf(c_0_112,negated_conjecture,
    midp(esk2_0,X1,X1),
    inference(spm,[status(thm)],[c_0_100,c_0_94]) ).

cnf(c_0_113,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk5_0,esk1_0,esk1_0,esk2_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_38,c_0_101]) ).

fof(c_0_114,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | ~ perp(X17,X18,X19,X20)
      | perp(X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD74])])])]) ).

cnf(c_0_115,plain,
    ( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_116,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_117,negated_conjecture,
    cong(esk2_0,esk2_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

fof(c_0_118,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_119,negated_conjecture,
    ( coll(X1,esk1_0,esk3_0)
    | ~ coll(esk3_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_106]) ).

cnf(c_0_120,negated_conjecture,
    ( coll(X1,esk1_0,esk4_0)
    | ~ coll(esk4_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_107]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk4_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_46,c_0_108]) ).

cnf(c_0_122,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk1_0,esk2_0,esk1_0,esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_42,c_0_109]) ).

cnf(c_0_123,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_110]),c_0_110])]) ).

cnf(c_0_124,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk2_0,X2,X1,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_82,c_0_111]) ).

fof(c_0_125,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_126,negated_conjecture,
    cong(esk2_0,X1,esk2_0,X1),
    inference(spm,[status(thm)],[c_0_93,c_0_112]) ).

cnf(c_0_127,negated_conjecture,
    eqangle(esk3_0,esk1_0,esk5_0,esk1_0,esk1_0,esk2_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_82,c_0_113]) ).

cnf(c_0_128,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_114]) ).

cnf(c_0_129,plain,
    ( eqangle(X1,X2,X3,X2,X3,X1,X1,X2)
    | ~ cong(X3,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_115]) ).

fof(c_0_130,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_131,negated_conjecture,
    ( perp(esk2_0,esk3_0,X1,esk2_0)
    | ~ cong(esk2_0,X1,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_132,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_118]) ).

cnf(c_0_133,negated_conjecture,
    coll(esk1_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_119,c_0_106]) ).

cnf(c_0_134,negated_conjecture,
    coll(esk4_0,esk1_0,esk4_0),
    inference(spm,[status(thm)],[c_0_120,c_0_121]) ).

cnf(c_0_135,negated_conjecture,
    eqangle(esk1_0,esk2_0,esk1_0,esk3_0,esk5_0,esk1_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_38,c_0_122]) ).

cnf(c_0_136,plain,
    ( midp(X1,X2,X3)
    | ~ eqangle(X4,X2,X4,X3,X5,X2,X5,X1)
    | ~ circle(X5,X4,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_123])]) ).

cnf(c_0_137,negated_conjecture,
    eqangle(X1,X2,X2,X1,esk1_0,esk2_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_42,c_0_124]) ).

fof(c_0_138,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])]) ).

cnf(c_0_139,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_140,negated_conjecture,
    cong(esk2_0,X1,X1,esk2_0),
    inference(spm,[status(thm)],[c_0_104,c_0_126]) ).

cnf(c_0_141,negated_conjecture,
    eqangle(esk3_0,esk1_0,esk1_0,esk2_0,esk5_0,esk1_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_42,c_0_127]) ).

cnf(c_0_142,negated_conjecture,
    eqangle(esk1_0,esk3_0,X1,X2,esk1_0,esk2_0,X1,X2),
    inference(spm,[status(thm)],[c_0_57,c_0_61]) ).

cnf(c_0_143,plain,
    ( perp(X1,X2,X3,X2)
    | ~ cong(X3,X1,X3,X2)
    | ~ perp(X3,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_144,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_145,negated_conjecture,
    perp(esk2_0,esk3_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_131,c_0_117]) ).

fof(c_0_146,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_147,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk2_0,esk3_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_132,c_0_85]) ).

cnf(c_0_148,negated_conjecture,
    coll(esk1_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_46,c_0_133]) ).

cnf(c_0_149,negated_conjecture,
    coll(esk4_0,esk4_0,esk1_0),
    inference(spm,[status(thm)],[c_0_46,c_0_134]) ).

cnf(c_0_150,negated_conjecture,
    eqangle(esk2_0,esk1_0,esk1_0,esk3_0,esk5_0,esk1_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_82,c_0_135]) ).

fof(c_0_151,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_152,negated_conjecture,
    ( midp(esk3_0,esk2_0,esk2_0)
    | ~ circle(esk1_0,esk2_0,esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_153,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_138]) ).

cnf(c_0_154,negated_conjecture,
    cong(X1,esk2_0,esk2_0,X1),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_155,negated_conjecture,
    eqangle(esk1_0,esk2_0,esk3_0,esk1_0,esk1_0,esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_38,c_0_141]) ).

cnf(c_0_156,negated_conjecture,
    eqangle(esk1_0,esk5_0,esk5_0,esk1_0,esk1_0,esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_42,c_0_98]) ).

cnf(c_0_157,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk1_0,esk2_0,X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_42,c_0_142]) ).

cnf(c_0_158,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk2_0,esk3_0)
    | ~ perp(esk2_0,esk2_0,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_143,c_0_105]) ).

cnf(c_0_159,negated_conjecture,
    perp(esk2_0,esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

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

cnf(c_0_161,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk1_0,esk2_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_147]) ).

cnf(c_0_162,negated_conjecture,
    coll(esk3_0,esk1_0,esk1_0),
    inference(spm,[status(thm)],[c_0_55,c_0_148]) ).

cnf(c_0_163,negated_conjecture,
    ( coll(X1,esk1_0,esk4_0)
    | ~ coll(esk4_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_149]) ).

cnf(c_0_164,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk2_0,esk1_0,esk1_0,esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_38,c_0_150]) ).

fof(c_0_165,plain,
    ! [X8,X9,X10,X11] :
      ( ~ perp(X8,X9,X9,X10)
      | ~ midp(X11,X8,X10)
      | cong(X8,X11,X9,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).

cnf(c_0_166,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_151]) ).

cnf(c_0_167,negated_conjecture,
    ( midp(esk3_0,esk2_0,esk2_0)
    | ~ cong(esk1_0,esk2_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_168,negated_conjecture,
    cong(X1,esk2_0,X1,esk2_0),
    inference(spm,[status(thm)],[c_0_104,c_0_154]) ).

cnf(c_0_169,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk3_0,esk1_0)
    | ~ perp(esk1_0,esk5_0,esk5_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_155]) ).

cnf(c_0_170,negated_conjecture,
    ( perp(esk1_0,esk5_0,esk5_0,esk1_0)
    | ~ perp(esk1_0,esk3_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_156]) ).

cnf(c_0_171,negated_conjecture,
    ( perp(esk1_0,esk3_0,esk1_0,esk2_0)
    | ~ perp(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_128,c_0_157]) ).

cnf(c_0_172,negated_conjecture,
    perp(esk2_0,esk3_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]) ).

cnf(c_0_173,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk2_0,esk1_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_160,c_0_161]) ).

cnf(c_0_174,negated_conjecture,
    ( coll(X1,esk1_0,esk3_0)
    | ~ coll(esk3_0,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_162]) ).

cnf(c_0_175,negated_conjecture,
    coll(X1,esk1_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_110])]) ).

cnf(c_0_176,negated_conjecture,
    eqangle(esk3_0,esk1_0,esk2_0,esk1_0,esk1_0,esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_82,c_0_164]) ).

cnf(c_0_177,negated_conjecture,
    eqangle(esk3_0,esk1_0,esk5_0,esk1_0,esk1_0,esk2_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_82,c_0_53]) ).

cnf(c_0_178,plain,
    ( cong(X1,X2,X3,X2)
    | ~ midp(X2,X1,X4)
    | ~ perp(X1,X3,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_179,negated_conjecture,
    ( perp(esk1_0,esk3_0,X1,X2)
    | ~ perp(esk1_0,esk2_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_166,c_0_61]) ).

cnf(c_0_180,negated_conjecture,
    midp(esk3_0,esk2_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_168])]) ).

cnf(c_0_181,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk3_0,esk1_0)
    | ~ perp(esk1_0,esk3_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_182,negated_conjecture,
    perp(esk1_0,esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

fof(c_0_183,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_184,negated_conjecture,
    ( perp(esk2_0,esk1_0,esk2_0,esk3_0)
    | ~ coll(esk4_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_173]) ).

cnf(c_0_185,negated_conjecture,
    coll(esk4_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_174,c_0_175]) ).

cnf(c_0_186,negated_conjecture,
    ( perp(esk3_0,esk1_0,esk2_0,esk1_0)
    | ~ perp(esk1_0,esk5_0,esk5_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_176]) ).

fof(c_0_187,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_188,negated_conjecture,
    para(esk3_0,esk1_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_43,c_0_177]) ).

cnf(c_0_189,negated_conjecture,
    ( cong(esk1_0,X1,esk3_0,X1)
    | ~ midp(X1,esk1_0,X2)
    | ~ perp(esk1_0,esk2_0,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_190,negated_conjecture,
    midp(esk3_0,X1,X1),
    inference(spm,[status(thm)],[c_0_89,c_0_180]) ).

cnf(c_0_191,negated_conjecture,
    perp(esk1_0,esk2_0,esk3_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]) ).

cnf(c_0_192,negated_conjecture,
    eqangle(esk2_0,esk1_0,X1,X2,esk3_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_57,c_0_81]) ).

cnf(c_0_193,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_183]) ).

cnf(c_0_194,negated_conjecture,
    perp(esk2_0,esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).

cnf(c_0_195,negated_conjecture,
    ( perp(esk3_0,esk1_0,esk2_0,esk1_0)
    | ~ perp(esk1_0,esk3_0,esk1_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_170]) ).

cnf(c_0_196,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_187]) ).

cnf(c_0_197,negated_conjecture,
    para(esk3_0,esk1_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_60,c_0_188]) ).

cnf(c_0_198,negated_conjecture,
    cong(esk1_0,esk3_0,esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_191])]) ).

cnf(c_0_199,negated_conjecture,
    ( para(esk2_0,esk1_0,X1,X2)
    | ~ para(esk3_0,esk1_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_49,c_0_192]) ).

cnf(c_0_200,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_201,negated_conjecture,
    perp(esk3_0,esk1_0,esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_182])]) ).

cnf(c_0_202,negated_conjecture,
    ( para(X1,X2,esk2_0,esk1_0)
    | ~ para(X1,X2,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_203,plain,
    ( para(X1,X1,X1,X2)
    | ~ cong(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_115]) ).

cnf(c_0_204,negated_conjecture,
    cong(esk3_0,esk3_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_139,c_0_198]) ).

cnf(c_0_205,negated_conjecture,
    para(esk2_0,esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201])]) ).

cnf(c_0_206,negated_conjecture,
    ( para(esk3_0,esk3_0,esk2_0,esk1_0)
    | ~ cong(esk3_0,esk3_0,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_207,negated_conjecture,
    cong(esk3_0,esk3_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_104,c_0_204]) ).

cnf(c_0_208,negated_conjecture,
    para(esk2_0,esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_65,c_0_205]) ).

cnf(c_0_209,negated_conjecture,
    para(esk3_0,esk3_0,esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_207])]) ).

cnf(c_0_210,negated_conjecture,
    cong(esk3_0,X1,esk3_0,X1),
    inference(spm,[status(thm)],[c_0_93,c_0_190]) ).

cnf(c_0_211,negated_conjecture,
    eqangle(esk2_0,esk3_0,X1,X2,esk2_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_57,c_0_208]) ).

cnf(c_0_212,negated_conjecture,
    para(esk2_0,esk1_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_65,c_0_209]) ).

cnf(c_0_213,negated_conjecture,
    perp(esk3_0,esk3_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_210]),c_0_210])]) ).

cnf(c_0_214,negated_conjecture,
    eqangle(X1,X2,esk2_0,esk3_0,X1,X2,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_38,c_0_211]) ).

cnf(c_0_215,negated_conjecture,
    perp(esk2_0,esk1_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_212]),c_0_213])]) ).

cnf(c_0_216,negated_conjecture,
    ( perp(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_128,c_0_214]) ).

cnf(c_0_217,negated_conjecture,
    perp(X1,X2,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_144,c_0_215]) ).

cnf(c_0_218,negated_conjecture,
    ~ perp(esk5_0,esk6_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_219,negated_conjecture,
    perp(X1,X2,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_216,c_0_217])]) ).

cnf(c_0_220,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_219])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GEO622+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 06:22:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.24/2.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/2.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/2.41  # Preprocessing time       : 0.023 s
% 0.24/2.41  
% 0.24/2.41  # Proof found!
% 0.24/2.41  # SZS status Theorem
% 0.24/2.41  # SZS output start CNFRefutation
% See solution above
% 0.24/2.41  # Proof object total steps             : 221
% 0.24/2.41  # Proof object clause steps            : 160
% 0.24/2.41  # Proof object formula steps           : 61
% 0.24/2.41  # Proof object conjectures             : 130
% 0.24/2.41  # Proof object clause conjectures      : 127
% 0.24/2.41  # Proof object formula conjectures     : 3
% 0.24/2.41  # Proof object initial clauses used    : 34
% 0.24/2.41  # Proof object initial formulas used   : 30
% 0.24/2.41  # Proof object generating inferences   : 116
% 0.24/2.41  # Proof object simplifying inferences  : 38
% 0.24/2.41  # Training examples: 0 positive, 0 negative
% 0.24/2.41  # Parsed axioms                        : 95
% 0.24/2.41  # Removed by relevancy pruning/SinE    : 21
% 0.24/2.41  # Initial clauses                      : 99
% 0.24/2.41  # Removed in clause preprocessing      : 0
% 0.24/2.41  # Initial clauses in saturation        : 99
% 0.24/2.41  # Processed clauses                    : 7012
% 0.24/2.41  # ...of these trivial                  : 1539
% 0.24/2.41  # ...subsumed                          : 1895
% 0.24/2.41  # ...remaining for further processing  : 3578
% 0.24/2.41  # Other redundant clauses eliminated   : 0
% 0.24/2.41  # Clauses deleted for lack of memory   : 0
% 0.24/2.41  # Backward-subsumed                    : 247
% 0.24/2.41  # Backward-rewritten                   : 1266
% 0.24/2.41  # Generated clauses                    : 59358
% 0.24/2.41  # ...of the previous two non-trivial   : 47421
% 0.24/2.41  # Contextual simplify-reflections      : 55
% 0.24/2.41  # Paramodulations                      : 59358
% 0.24/2.41  # Factorizations                       : 0
% 0.24/2.41  # Equation resolutions                 : 0
% 0.24/2.41  # Current number of processed clauses  : 2065
% 0.24/2.41  #    Positive orientable unit clauses  : 1029
% 0.24/2.41  #    Positive unorientable unit clauses: 0
% 0.24/2.41  #    Negative unit clauses             : 0
% 0.24/2.41  #    Non-unit-clauses                  : 1036
% 0.24/2.41  # Current number of unprocessed clauses: 24613
% 0.24/2.41  # ...number of literals in the above   : 82203
% 0.24/2.41  # Current number of archived formulas  : 0
% 0.24/2.41  # Current number of archived clauses   : 1513
% 0.24/2.41  # Clause-clause subsumption calls (NU) : 594873
% 0.24/2.41  # Rec. Clause-clause subsumption calls : 510406
% 0.24/2.41  # Non-unit clause-clause subsumptions  : 2117
% 0.24/2.41  # Unit Clause-clause subsumption calls : 106222
% 0.24/2.41  # Rewrite failures with RHS unbound    : 0
% 0.24/2.41  # BW rewrite match attempts            : 76620
% 0.24/2.41  # BW rewrite match successes           : 638
% 0.24/2.41  # Condensation attempts                : 0
% 0.24/2.41  # Condensation successes               : 0
% 0.24/2.41  # Termbank termtop insertions          : 803264
% 0.24/2.41  
% 0.24/2.41  # -------------------------------------------------
% 0.24/2.41  # User time                : 1.113 s
% 0.24/2.41  # System time              : 0.016 s
% 0.24/2.41  # Total time               : 1.129 s
% 0.24/2.41  # Maximum resident set size: 35604 pages
% 0.24/23.40  eprover: CPU time limit exceeded, terminating
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.42  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------