TSTP Solution File: GEO619+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n003.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 04:06:44 EDT 2022

% Result   : Theorem 0.22s 2.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  249 (  70 unt;   0 def)
%            Number of atoms       :  587 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  567 ( 229   ~; 226   |;  67   &)
%                                         (   0 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   15 (  15 usr;  12 con; 0-3 aty)
%            Number of variables   :  903 (  58 sgn 454   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110981,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22] :
      ( ( perp(X3,X1,X3,X2)
        & cong(X1,X3,X2,X3)
        & coll(X4,X1,X2)
        & eqangle(X5,X3,X3,X1,X1,X3,X3,X4)
        & coll(X5,X1,X2)
        & midp(X6,X4,X5)
        & circle(X6,X5,X19,X20)
        & coll(X13,X3,X5)
        & circle(X6,X5,X13,X21)
        & coll(X14,X3,X4)
        & circle(X6,X5,X14,X22) )
     => cong(X4,X13,X4,X14) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL8110981) ).

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

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

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

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

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

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

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

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

fof(ruleD42b,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & coll(X9,X10,X2) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

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

fof(ruleD13,axiom,
    ! [X1,X2,X3,X4,X8] :
      ( ( cong(X8,X1,X8,X2)
        & cong(X8,X1,X8,X3)
        & cong(X8,X1,X8,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).

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(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(ruleX14,axiom,
    ! [X1,X2,X3,X4] :
    ? [X8] :
      ( ( perp(X1,X3,X3,X2)
        & cyclic(X1,X2,X3,X4) )
     => circle(X8,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).

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(ruleX10,axiom,
    ! [X1,X2,X3,X14] :
    ? [X9,X10] :
      ( ( perp(X1,X14,X2,X3)
        & perp(X2,X14,X1,X3) )
     => ( coll(X9,X3,X2)
        & perp(X1,X9,X3,X2)
        & coll(X10,X3,X1)
        & perp(X2,X10,X3,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX10) ).

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

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

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

fof(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(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

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

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

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( midp(X5,X1,X2)
        & para(X5,X6,X2,X3)
        & coll(X6,X1,X3) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

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

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

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

fof(c_0_44,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22] :
        ( ( perp(X3,X1,X3,X2)
          & cong(X1,X3,X2,X3)
          & coll(X4,X1,X2)
          & eqangle(X5,X3,X3,X1,X1,X3,X3,X4)
          & coll(X5,X1,X2)
          & midp(X6,X4,X5)
          & circle(X6,X5,X19,X20)
          & coll(X13,X3,X5)
          & circle(X6,X5,X13,X21)
          & coll(X14,X3,X4)
          & circle(X6,X5,X14,X22) )
       => cong(X4,X13,X4,X14) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110981]) ).

fof(c_0_45,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])]) ).

fof(c_0_46,negated_conjecture,
    ( perp(esk3_0,esk1_0,esk3_0,esk2_0)
    & cong(esk1_0,esk3_0,esk2_0,esk3_0)
    & coll(esk4_0,esk1_0,esk2_0)
    & eqangle(esk5_0,esk3_0,esk3_0,esk1_0,esk1_0,esk3_0,esk3_0,esk4_0)
    & coll(esk5_0,esk1_0,esk2_0)
    & midp(esk6_0,esk4_0,esk5_0)
    & circle(esk6_0,esk5_0,esk9_0,esk10_0)
    & coll(esk7_0,esk3_0,esk5_0)
    & circle(esk6_0,esk5_0,esk7_0,esk11_0)
    & coll(esk8_0,esk3_0,esk4_0)
    & circle(esk6_0,esk5_0,esk8_0,esk12_0)
    & ~ cong(esk4_0,esk7_0,esk4_0,esk8_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).

fof(c_0_47,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X17,X18,X19,X20,X13,X14,X15,X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).

cnf(c_0_48,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_45]) ).

cnf(c_0_49,negated_conjecture,
    eqangle(esk5_0,esk3_0,esk3_0,esk1_0,esk1_0,esk3_0,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_50,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_47]) ).

fof(c_0_51,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_52,negated_conjecture,
    ( eqangle(X1,X2,X3,X4,esk1_0,esk3_0,esk3_0,esk4_0)
    | ~ eqangle(X1,X2,X3,X4,esk5_0,esk3_0,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk3_0,esk4_0,esk5_0,esk3_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_50,c_0_49]) ).

fof(c_0_54,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_55,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_56,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk3_0,esk4_0,esk1_0,esk3_0,esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

fof(c_0_57,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_58,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    para(esk1_0,esk3_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_60,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_57]) ).

cnf(c_0_61,negated_conjecture,
    eqangle(esk1_0,esk3_0,X1,X2,esk1_0,esk3_0,X1,X2),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

fof(c_0_62,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_63,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk3_0,X1,X2,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

fof(c_0_64,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_65,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_66,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_55,c_0_63]) ).

fof(c_0_67,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_68,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

fof(c_0_69,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_70,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

fof(c_0_71,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ cong(X7,X8,X9,X10)
      | ~ cong(X9,X10,X11,X12)
      | cong(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

fof(c_0_72,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])]) ).

fof(c_0_73,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_74,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_75,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_68,c_0_66]) ).

cnf(c_0_76,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_69]) ).

cnf(c_0_77,negated_conjecture,
    eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
    inference(spm,[status(thm)],[c_0_58,c_0_70]) ).

cnf(c_0_78,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_79,negated_conjecture,
    cong(esk1_0,esk3_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_80,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

fof(c_0_81,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cong(X11,X13,X12,X13)
      | ~ cong(X11,X14,X12,X14)
      | ~ cyclic(X11,X12,X13,X14)
      | perp(X13,X11,X11,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).

fof(c_0_82,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | ~ coll(X13,X14,X12)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_83,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_84,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_85,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

fof(c_0_86,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ cyclic(X16,X17,X18,X19)
      | ~ cyclic(X16,X17,X18,X20)
      | ~ cyclic(X16,X17,X18,X21)
      | ~ eqangle(X18,X16,X18,X17,X21,X19,X21,X20)
      | cong(X16,X17,X19,X20) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])])])]) ).

cnf(c_0_87,negated_conjecture,
    eqangle(X1,X2,X2,X1,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

fof(c_0_88,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ cong(X13,X9,X13,X10)
      | ~ cong(X13,X9,X13,X11)
      | ~ cong(X13,X9,X13,X12)
      | cyclic(X9,X10,X11,X12) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD13])])])]) ).

cnf(c_0_89,negated_conjecture,
    ( cong(X1,X2,esk2_0,esk3_0)
    | ~ cong(X1,X2,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    cong(esk2_0,esk3_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_80,c_0_79]) ).

cnf(c_0_91,plain,
    ( perp(X1,X2,X2,X3)
    | ~ cyclic(X2,X4,X1,X3)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_92,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_93,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_94,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_95,plain,
    ( cong(X1,X2,X3,X4)
    | ~ eqangle(X5,X1,X5,X2,X6,X3,X6,X4)
    | ~ cyclic(X1,X2,X5,X6)
    | ~ cyclic(X1,X2,X5,X4)
    | ~ cyclic(X1,X2,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_96,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
    inference(spm,[status(thm)],[c_0_50,c_0_87]) ).

cnf(c_0_97,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cong(X5,X1,X5,X4)
    | ~ cong(X5,X1,X5,X3)
    | ~ cong(X5,X1,X5,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_98,negated_conjecture,
    cong(esk2_0,esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

fof(c_0_99,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_100,plain,
    ( perp(X1,X2,X2,X3)
    | ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1)
    | ~ coll(X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_94])]) ).

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])]) ).

cnf(c_0_103,negated_conjecture,
    ( cong(X1,X1,X2,X2)
    | ~ cyclic(X1,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_104,negated_conjecture,
    ( cyclic(esk3_0,X1,X2,esk3_0)
    | ~ cong(esk2_0,esk3_0,esk2_0,X2)
    | ~ cong(esk2_0,esk3_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

fof(c_0_105,plain,
    ! [X9,X10,X11,X12] :
      ( ~ perp(X9,X11,X11,X10)
      | ~ cyclic(X9,X10,X11,X12)
      | circle(esk21_3(X9,X10,X11),X9,X10,X11) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX14])])])])]) ).

fof(c_0_106,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_107,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_99]) ).

cnf(c_0_108,plain,
    ( perp(X1,X2,X2,X3)
    | ~ eqangle(X1,X2,X1,X4,X3,X2,X3,X4)
    | ~ cong(X2,X3,X4,X3)
    | ~ cong(X2,X1,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).

cnf(c_0_109,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_110,negated_conjecture,
    ( cong(esk3_0,esk3_0,esk3_0,esk3_0)
    | ~ cong(esk2_0,esk3_0,esk2_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_98])]) ).

cnf(c_0_111,plain,
    ( circle(esk21_3(X1,X2,X3),X1,X2,X3)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ perp(X1,X3,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_112,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_106]) ).

cnf(c_0_113,negated_conjecture,
    eqangle(X1,X2,X2,X1,X3,X4,X4,X3),
    inference(spm,[status(thm)],[c_0_107,c_0_96]) ).

cnf(c_0_114,plain,
    ( perp(X1,X1,X1,X1)
    | ~ cong(X1,X1,X1,X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_115,negated_conjecture,
    cong(esk3_0,esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_110,c_0_98]) ).

fof(c_0_116,plain,
    ! [X15,X16,X17,X18] :
      ( ( coll(esk24_3(X15,X16,X17),X17,X16)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( perp(X15,esk24_3(X15,X16,X17),X17,X16)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( coll(esk25_3(X15,X16,X17),X17,X15)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) )
      & ( perp(X16,esk25_3(X15,X16,X17),X17,X15)
        | ~ perp(X15,X18,X16,X17)
        | ~ perp(X16,X18,X15,X17) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX10])])])])])]) ).

fof(c_0_117,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_118,plain,
    ( circle(esk21_3(X1,X2,X3),X1,X2,X3)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ perp(X1,X3,X3,X2)
    | ~ coll(X3,X4,X2) ),
    inference(spm,[status(thm)],[c_0_111,c_0_92]) ).

cnf(c_0_119,negated_conjecture,
    ( perp(X1,X2,X2,X1)
    | ~ perp(X3,X4,X4,X3) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_120,negated_conjecture,
    perp(esk3_0,esk3_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

fof(c_0_121,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | ~ para(X5,X6,X7,X8)
      | eqangle(X5,X8,X7,X8,X7,X8,X7,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).

fof(c_0_122,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_123,plain,
    ( perp(X3,esk24_3(X3,X1,X4),X4,X1)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X2,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_116]) ).

cnf(c_0_124,negated_conjecture,
    perp(esk3_0,esk1_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_125,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_126,plain,
    ( circle(esk21_3(X1,X2,X3),X1,X2,X3)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
    | ~ perp(X1,X3,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_101])]) ).

cnf(c_0_127,negated_conjecture,
    perp(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_128,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ cyclic(X1,X4,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_121]) ).

cnf(c_0_129,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_130,negated_conjecture,
    perp(esk3_0,esk24_3(esk3_0,esk3_0,esk2_0),esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_124])]) ).

cnf(c_0_131,plain,
    ( perp(X1,X2,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_101])]) ).

cnf(c_0_132,negated_conjecture,
    circle(esk21_3(X1,X1,X2),X1,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_96]),c_0_127])]) ).

cnf(c_0_133,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
    | ~ para(X1,X4,X3,X2)
    | ~ coll(X3,X2,X4) ),
    inference(spm,[status(thm)],[c_0_128,c_0_92]) ).

cnf(c_0_134,negated_conjecture,
    ( para(X1,X2,esk2_0,esk3_0)
    | ~ perp(X1,X2,esk3_0,esk24_3(esk3_0,esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_129,c_0_130]) ).

cnf(c_0_135,negated_conjecture,
    perp(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_136,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
    inference(spm,[status(thm)],[c_0_58,c_0_66]) ).

cnf(c_0_137,plain,
    ( eqangle(X1,X2,X3,X2,X3,X2,X3,X4)
    | ~ eqangle(X3,X1,X3,X4,X2,X1,X2,X4)
    | ~ para(X1,X4,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_101])]) ).

cnf(c_0_138,negated_conjecture,
    para(esk3_0,esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_134,c_0_135]) ).

cnf(c_0_139,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_76,c_0_136]) ).

fof(c_0_140,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_141,negated_conjecture,
    eqangle(esk3_0,esk3_0,esk2_0,esk3_0,esk2_0,esk3_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139])]) ).

fof(c_0_142,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ para(X7,X8,X9,X10)
      | ~ para(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).

fof(c_0_143,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_144,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

cnf(c_0_145,negated_conjecture,
    eqangle(esk2_0,esk3_0,esk3_0,esk3_0,esk2_0,esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_60,c_0_141]) ).

fof(c_0_146,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_147,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_142]) ).

cnf(c_0_148,negated_conjecture,
    ( para(X1,X2,esk3_0,esk2_0)
    | ~ perp(X1,X2,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_129,c_0_124]) ).

cnf(c_0_149,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_150,negated_conjecture,
    perp(esk3_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_144,c_0_124]) ).

cnf(c_0_151,negated_conjecture,
    eqangle(esk3_0,esk2_0,esk3_0,esk3_0,esk2_0,esk3_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_107,c_0_145]) ).

cnf(c_0_152,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_146]) ).

fof(c_0_153,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_154,negated_conjecture,
    ( para(X1,X2,esk3_0,esk2_0)
    | ~ perp(X3,X4,esk3_0,esk1_0)
    | ~ para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_155,negated_conjecture,
    perp(esk2_0,esk3_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_156,negated_conjecture,
    eqangle(esk2_0,esk3_0,esk2_0,esk3_0,esk3_0,esk2_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_50,c_0_151]) ).

cnf(c_0_157,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2)
    | ~ coll(X4,X3,X2) ),
    inference(spm,[status(thm)],[c_0_152,c_0_92]) ).

cnf(c_0_158,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_153]) ).

cnf(c_0_159,negated_conjecture,
    para(esk3_0,esk3_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_138]),c_0_155])]) ).

cnf(c_0_160,negated_conjecture,
    ( cong(esk3_0,esk3_0,esk2_0,esk3_0)
    | ~ cyclic(esk3_0,esk3_0,esk2_0,esk3_0)
    | ~ cyclic(esk3_0,esk3_0,esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_95,c_0_156]) ).

cnf(c_0_161,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X4,X1,X4,X2,X3,X1,X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_101])]) ).

cnf(c_0_162,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_158,c_0_101])]) ).

cnf(c_0_163,negated_conjecture,
    eqangle(esk3_0,esk2_0,esk3_0,esk2_0,esk3_0,esk2_0,esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_159]),c_0_139])]) ).

fof(c_0_164,plain,
    ! [X9,X10,X11,X12] :
      ( ~ cong(X12,X9,X12,X10)
      | ~ cong(X12,X9,X12,X11)
      | circle(X12,X9,X10,X11) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).

fof(c_0_165,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_166,negated_conjecture,
    ( cong(esk3_0,esk3_0,esk2_0,esk3_0)
    | ~ cyclic(esk3_0,esk3_0,esk2_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_139])]) ).

fof(c_0_167,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])]) ).

fof(c_0_168,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_169,negated_conjecture,
    ( midp(esk3_0,esk2_0,esk2_0)
    | ~ circle(esk3_0,esk3_0,esk2_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_170,plain,
    ( circle(X1,X2,X3,X4)
    | ~ cong(X1,X2,X1,X4)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_164]) ).

cnf(c_0_171,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_165]) ).

cnf(c_0_172,negated_conjecture,
    cong(esk3_0,esk3_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_161]),c_0_139])]) ).

cnf(c_0_173,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_167]) ).

cnf(c_0_174,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_168]) ).

cnf(c_0_175,negated_conjecture,
    ( midp(esk3_0,esk2_0,esk2_0)
    | ~ cong(esk3_0,esk3_0,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_176,negated_conjecture,
    cong(esk3_0,esk3_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_177,negated_conjecture,
    ( perp(esk1_0,esk2_0,X1,esk3_0)
    | ~ cong(esk1_0,X1,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_173,c_0_79]) ).

fof(c_0_178,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_179,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_66]),c_0_66])]) ).

cnf(c_0_180,negated_conjecture,
    midp(esk3_0,esk2_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176])]) ).

cnf(c_0_181,negated_conjecture,
    perp(esk1_0,esk2_0,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_177,c_0_79]) ).

cnf(c_0_182,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_178]) ).

cnf(c_0_183,negated_conjecture,
    midp(esk3_0,X1,X1),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_184,negated_conjecture,
    perp(esk3_0,esk3_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_149,c_0_181]) ).

cnf(c_0_185,negated_conjecture,
    cong(esk3_0,X1,esk3_0,X1),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_186,negated_conjecture,
    perp(esk3_0,esk3_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_144,c_0_184]) ).

cnf(c_0_187,negated_conjecture,
    perp(esk3_0,esk3_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_185]),c_0_185])]) ).

fof(c_0_188,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_189,negated_conjecture,
    ( para(X1,X2,esk2_0,esk1_0)
    | ~ perp(X1,X2,esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_129,c_0_186]) ).

cnf(c_0_190,negated_conjecture,
    perp(X1,X2,esk3_0,esk3_0),
    inference(spm,[status(thm)],[c_0_149,c_0_187]) ).

fof(c_0_191,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_192,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_193,negated_conjecture,
    para(X1,X2,esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190])]) ).

cnf(c_0_194,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_191]) ).

cnf(c_0_195,plain,
    ( eqangle(X1,X2,X1,X3,X1,X3,X2,X3)
    | ~ cong(X2,X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_107,c_0_109]) ).

cnf(c_0_196,negated_conjecture,
    para(esk2_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_197,plain,
    ( para(X1,X2,X1,X3)
    | ~ cong(X2,X1,X2,X3)
    | ~ para(X1,X3,X2,X3) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_198,negated_conjecture,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_196]),c_0_193])]) ).

cnf(c_0_199,negated_conjecture,
    para(esk3_0,esk2_0,esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_138]),c_0_98])]) ).

fof(c_0_200,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_201,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X6,X5,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_202,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_198])]) ).

fof(c_0_203,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ para(X10,X11,X8,X9)
      | ~ coll(X11,X7,X9)
      | midp(X11,X7,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

fof(c_0_204,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ midp(X11,X7,X9)
      | para(X10,X11,X8,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).

cnf(c_0_205,negated_conjecture,
    eqangle(esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_199]),c_0_136])]) ).

fof(c_0_206,plain,
    ! [X8,X9,X10,X11,X12] :
      ( ~ midp(X12,X8,X9)
      | ~ midp(X12,X10,X11)
      | para(X8,X10,X9,X11) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])])]) ).

cnf(c_0_207,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_200]) ).

cnf(c_0_208,negated_conjecture,
    midp(esk6_0,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

fof(c_0_209,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_210,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_201]) ).

cnf(c_0_211,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
    inference(spm,[status(thm)],[c_0_76,c_0_202]) ).

cnf(c_0_212,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_203]) ).

cnf(c_0_213,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_204]) ).

cnf(c_0_214,negated_conjecture,
    ( midp(esk2_0,esk3_0,esk3_0)
    | ~ circle(esk3_0,esk3_0,esk3_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_205]) ).

cnf(c_0_215,negated_conjecture,
    cong(X1,X1,X2,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_161]),c_0_139])]) ).

cnf(c_0_216,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_206]) ).

cnf(c_0_217,negated_conjecture,
    midp(esk6_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_218,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_209]) ).

cnf(c_0_219,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X3,X2,X3,X1,X4,X2,X4,X1)
    | ~ coll(X3,X4,X1) ),
    inference(spm,[status(thm)],[c_0_210,c_0_92]) ).

cnf(c_0_220,plain,
    eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
    inference(spm,[status(thm)],[c_0_50,c_0_211]) ).

cnf(c_0_221,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_101])]) ).

cnf(c_0_222,negated_conjecture,
    ( para(X1,esk6_0,X2,esk5_0)
    | ~ midp(X1,esk4_0,X2) ),
    inference(spm,[status(thm)],[c_0_213,c_0_208]) ).

cnf(c_0_223,negated_conjecture,
    midp(esk2_0,esk3_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_170]),c_0_215])]) ).

cnf(c_0_224,negated_conjecture,
    ( para(X1,esk4_0,X2,esk5_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_216,c_0_208]) ).

cnf(c_0_225,negated_conjecture,
    ( para(X1,esk5_0,X2,esk4_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_226,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2)
    | ~ coll(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_207,c_0_218]) ).

cnf(c_0_227,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X3,X2,X3,X1,X4,X2,X4,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_101])]) ).

cnf(c_0_228,plain,
    eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_220]),c_0_211])]) ).

cnf(c_0_229,negated_conjecture,
    ( midp(esk6_0,X1,esk5_0)
    | ~ midp(X2,esk4_0,X3)
    | ~ midp(X2,X1,X3) ),
    inference(spm,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_230,negated_conjecture,
    midp(esk2_0,X1,X1),
    inference(spm,[status(thm)],[c_0_179,c_0_223]) ).

cnf(c_0_231,negated_conjecture,
    ( midp(X1,esk5_0,esk4_0)
    | ~ midp(esk6_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_224]),c_0_225]) ).

cnf(c_0_232,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_101])]) ).

cnf(c_0_233,negated_conjecture,
    ( cong(X1,X2,X1,X2)
    | ~ cyclic(X1,X2,X3,X3)
    | ~ cyclic(X1,X2,X3,X2)
    | ~ cyclic(X1,X2,X3,X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_136]) ).

cnf(c_0_234,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228])]) ).

cnf(c_0_235,negated_conjecture,
    ( midp(X1,esk4_0,esk5_0)
    | ~ midp(esk6_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_225]),c_0_224]) ).

cnf(c_0_236,negated_conjecture,
    ( midp(esk6_0,X1,esk5_0)
    | ~ midp(esk2_0,X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_237,negated_conjecture,
    ( midp(X1,esk5_0,esk4_0)
    | ~ cong(esk6_0,X2,esk6_0,X3)
    | ~ midp(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_238,negated_conjecture,
    cong(X1,X2,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_234]),c_0_234]),c_0_234])]) ).

cnf(c_0_239,negated_conjecture,
    ( midp(X1,esk4_0,esk5_0)
    | ~ midp(esk2_0,X2,esk4_0)
    | ~ midp(X1,X2,esk5_0) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_240,negated_conjecture,
    midp(esk2_0,esk5_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_230]),c_0_238])]) ).

cnf(c_0_241,negated_conjecture,
    ( midp(X1,esk4_0,esk5_0)
    | ~ midp(X1,esk5_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_242,negated_conjecture,
    midp(X1,esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_232]),c_0_238])]) ).

cnf(c_0_243,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X1,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_198]),c_0_198])]) ).

cnf(c_0_244,negated_conjecture,
    midp(X1,esk5_0,esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_242]),c_0_242])]) ).

cnf(c_0_245,negated_conjecture,
    midp(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_246,negated_conjecture,
    ~ cong(esk4_0,esk7_0,esk4_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_247,plain,
    cong(X1,X2,X1,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_245])]) ).

cnf(c_0_248,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_247])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n003.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 18:22:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/2.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/2.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/2.41  # Preprocessing time       : 0.024 s
% 0.22/2.41  
% 0.22/2.41  # Proof found!
% 0.22/2.41  # SZS status Theorem
% 0.22/2.41  # SZS output start CNFRefutation
% See solution above
% 0.22/2.41  # Proof object total steps             : 249
% 0.22/2.41  # Proof object clause steps            : 160
% 0.22/2.41  # Proof object formula steps           : 89
% 0.22/2.41  # Proof object conjectures             : 95
% 0.22/2.41  # Proof object clause conjectures      : 92
% 0.22/2.41  # Proof object formula conjectures     : 3
% 0.22/2.41  # Proof object initial clauses used    : 48
% 0.22/2.41  # Proof object initial formulas used   : 44
% 0.22/2.41  # Proof object generating inferences   : 95
% 0.22/2.41  # Proof object simplifying inferences  : 79
% 0.22/2.41  # Training examples: 0 positive, 0 negative
% 0.22/2.41  # Parsed axioms                        : 95
% 0.22/2.41  # Removed by relevancy pruning/SinE    : 21
% 0.22/2.41  # Initial clauses                      : 104
% 0.22/2.41  # Removed in clause preprocessing      : 0
% 0.22/2.41  # Initial clauses in saturation        : 104
% 0.22/2.41  # Processed clauses                    : 6952
% 0.22/2.41  # ...of these trivial                  : 729
% 0.22/2.41  # ...subsumed                          : 2286
% 0.22/2.41  # ...remaining for further processing  : 3937
% 0.22/2.41  # Other redundant clauses eliminated   : 0
% 0.22/2.41  # Clauses deleted for lack of memory   : 0
% 0.22/2.41  # Backward-subsumed                    : 297
% 0.22/2.41  # Backward-rewritten                   : 3417
% 0.22/2.41  # Generated clauses                    : 50183
% 0.22/2.41  # ...of the previous two non-trivial   : 43963
% 0.22/2.41  # Contextual simplify-reflections      : 52
% 0.22/2.41  # Paramodulations                      : 50183
% 0.22/2.41  # Factorizations                       : 0
% 0.22/2.41  # Equation resolutions                 : 0
% 0.22/2.41  # Current number of processed clauses  : 223
% 0.22/2.41  #    Positive orientable unit clauses  : 169
% 0.22/2.41  #    Positive unorientable unit clauses: 0
% 0.22/2.41  #    Negative unit clauses             : 0
% 0.22/2.41  #    Non-unit-clauses                  : 54
% 0.22/2.41  # Current number of unprocessed clauses: 705
% 0.22/2.41  # ...number of literals in the above   : 1485
% 0.22/2.41  # Current number of archived formulas  : 0
% 0.22/2.41  # Current number of archived clauses   : 3714
% 0.22/2.41  # Clause-clause subsumption calls (NU) : 604098
% 0.22/2.41  # Rec. Clause-clause subsumption calls : 477370
% 0.22/2.41  # Non-unit clause-clause subsumptions  : 2518
% 0.22/2.41  # Unit Clause-clause subsumption calls : 201821
% 0.22/2.41  # Rewrite failures with RHS unbound    : 0
% 0.22/2.41  # BW rewrite match attempts            : 35005
% 0.22/2.41  # BW rewrite match successes           : 2549
% 0.22/2.41  # Condensation attempts                : 0
% 0.22/2.41  # Condensation successes               : 0
% 0.22/2.41  # Termbank termtop insertions          : 707634
% 0.22/2.41  
% 0.22/2.41  # -------------------------------------------------
% 0.22/2.41  # User time                : 1.262 s
% 0.22/2.41  # System time              : 0.026 s
% 0.22/2.41  # Total time               : 1.288 s
% 0.22/2.41  # Maximum resident set size: 28476 pages
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.41  eprover: CPU time limit exceeded, terminating
% 0.22/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------