TSTP Solution File: GEO542+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n023.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 04:06:12 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  278 (  89 unt;   0 def)
%            Number of atoms       :  567 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  515 ( 226   ~; 222   |;  30   &)
%                                         (   0 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :  700 (   9 sgn 354   !;   1   ?)

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

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

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

fof(exemplo6GDDFULL012002,conjecture,
    ! [X1,X2,X3,X19,X20,X21,X8] :
      ( ( midp(X19,X3,X2)
        & midp(X20,X3,X1)
        & midp(X21,X2,X1)
        & circle(X8,X1,X2,X3) )
     => perp(X8,X19,X20,X21) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',exemplo6GDDFULL012002) ).

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

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

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

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

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

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

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

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

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

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

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

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

fof(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(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(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(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(c_0_36,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_37,plain,
    ! [X10,X11,X12,X13] :
      ( ~ circle(X13,X10,X11,X12)
      | perp(esk17_4(X10,X11,X12,X13),X10,X10,X13) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_38,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_39,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_40,plain,
    ( perp(esk17_4(X1,X2,X3,X4),X1,X1,X4)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_41,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_42,negated_conjecture,
    ~ ! [X1,X2,X3,X19,X20,X21,X8] :
        ( ( midp(X19,X3,X2)
          & midp(X20,X3,X1)
          & midp(X21,X2,X1)
          & circle(X8,X1,X2,X3) )
       => perp(X8,X19,X20,X21) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012002]) ).

cnf(c_0_43,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk17_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,plain,
    ( perp(X1,X2,esk17_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_41,c_0_40]) ).

fof(c_0_45,negated_conjecture,
    ( midp(esk4_0,esk3_0,esk2_0)
    & midp(esk5_0,esk3_0,esk1_0)
    & midp(esk6_0,esk2_0,esk1_0)
    & circle(esk7_0,esk1_0,esk2_0,esk3_0)
    & ~ perp(esk7_0,esk4_0,esk5_0,esk6_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

fof(c_0_46,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_47,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_48,negated_conjecture,
    circle(esk7_0,esk1_0,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_49,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_50,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_51,negated_conjecture,
    para(esk1_0,esk7_0,esk1_0,esk7_0),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_52,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_53,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_49]) ).

cnf(c_0_54,negated_conjecture,
    eqangle(esk1_0,esk7_0,X1,X2,esk1_0,esk7_0,X1,X2),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

fof(c_0_55,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])])])]) ).

fof(c_0_56,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_57,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_58,negated_conjecture,
    eqangle(X1,X2,esk1_0,esk7_0,X1,X2,esk1_0,esk7_0),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

fof(c_0_59,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_60,plain,
    ! [X4,X5,X6] :
      ( ~ midp(X4,X5,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).

cnf(c_0_61,plain,
    ( perp(X1,X2,X2,X3)
    | ~ coll(X4,X1,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

fof(c_0_62,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_63,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

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

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

cnf(c_0_66,negated_conjecture,
    midp(esk4_0,esk3_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_67,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_68,plain,
    ( coll(X1,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

fof(c_0_69,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_70,negated_conjecture,
    ( perp(esk1_0,esk2_0,esk2_0,esk3_0)
    | ~ coll(esk7_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_48]) ).

fof(c_0_71,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_72,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_73,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

fof(c_0_74,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_75,negated_conjecture,
    midp(esk4_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_76,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk4_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_68,c_0_66]) ).

cnf(c_0_78,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk1_0,esk2_0)
    | ~ coll(esk7_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_70]) ).

cnf(c_0_80,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_81,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

fof(c_0_82,plain,
    ! [X7,X8,X9,X10,X11] :
      ( ~ midp(X10,X7,X8)
      | ~ para(X10,X11,X8,X9)
      | ~ coll(X11,X7,X9)
      | midp(X11,X7,X9) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).

cnf(c_0_83,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X2,X5,X4)
    | ~ midp(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk4_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_68,c_0_75]) ).

cnf(c_0_85,negated_conjecture,
    ( coll(X1,esk2_0,esk4_0)
    | ~ coll(esk4_0,esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_86,negated_conjecture,
    midp(esk6_0,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

fof(c_0_87,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_88,negated_conjecture,
    midp(esk5_0,esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_89,negated_conjecture,
    ( perp(esk2_0,esk3_0,esk2_0,esk1_0)
    | ~ coll(esk7_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_90,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_91,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_82]) ).

cnf(c_0_92,negated_conjecture,
    ( para(X1,esk4_0,X2,esk2_0)
    | ~ midp(X1,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_66]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk2_0,esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_72,c_0_84]) ).

cnf(c_0_94,negated_conjecture,
    coll(esk2_0,esk2_0,esk4_0),
    inference(spm,[status(thm)],[c_0_85,c_0_77]) ).

cnf(c_0_95,negated_conjecture,
    midp(esk6_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_65,c_0_86]) ).

cnf(c_0_96,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_97,negated_conjecture,
    ( para(X1,esk5_0,X2,esk1_0)
    | ~ midp(X1,esk3_0,X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_88]) ).

cnf(c_0_98,negated_conjecture,
    ( perp(esk2_0,esk1_0,esk2_0,esk3_0)
    | ~ coll(esk7_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_89]) ).

cnf(c_0_99,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_90]),c_0_90])]) ).

cnf(c_0_100,negated_conjecture,
    ( midp(esk4_0,X1,esk2_0)
    | ~ midp(X2,esk3_0,X3)
    | ~ midp(X2,X1,X3)
    | ~ coll(esk4_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_101,negated_conjecture,
    ( coll(X1,esk3_0,esk2_0)
    | ~ coll(esk2_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_93]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk2_0,esk4_0,esk2_0),
    inference(spm,[status(thm)],[c_0_80,c_0_94]) ).

cnf(c_0_103,negated_conjecture,
    coll(esk6_0,esk1_0,esk2_0),
    inference(spm,[status(thm)],[c_0_68,c_0_95]) ).

cnf(c_0_104,negated_conjecture,
    ( perp(X1,esk5_0,X2,X3)
    | ~ midp(X1,esk3_0,X4)
    | ~ perp(X4,esk1_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_105,negated_conjecture,
    perp(esk2_0,esk1_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]) ).

cnf(c_0_106,negated_conjecture,
    ( midp(esk4_0,X1,esk2_0)
    | ~ midp(esk5_0,X1,esk1_0)
    | ~ coll(esk4_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_100,c_0_88]) ).

cnf(c_0_107,negated_conjecture,
    coll(esk2_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_108,negated_conjecture,
    coll(esk1_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_72,c_0_103]) ).

cnf(c_0_109,negated_conjecture,
    ( perp(X1,esk5_0,esk2_0,esk3_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_110,negated_conjecture,
    ( midp(esk4_0,X1,esk2_0)
    | ~ midp(esk5_0,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_99])]) ).

cnf(c_0_111,negated_conjecture,
    coll(esk2_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_80,c_0_107]) ).

cnf(c_0_112,negated_conjecture,
    ( coll(X1,esk2_0,esk1_0)
    | ~ coll(esk1_0,esk6_0,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_108]) ).

fof(c_0_113,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_114,negated_conjecture,
    perp(esk4_0,esk5_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_88])]) ).

cnf(c_0_115,negated_conjecture,
    ( coll(X1,esk3_0,esk2_0)
    | ~ coll(esk2_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_111]) ).

cnf(c_0_116,negated_conjecture,
    coll(esk2_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_112,c_0_108]) ).

fof(c_0_117,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_118,plain,
    ( cong(X1,X2,X1,X3)
    | ~ midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_119,negated_conjecture,
    midp(esk5_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_65,c_0_88]) ).

cnf(c_0_120,negated_conjecture,
    perp(esk2_0,esk3_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_41,c_0_114]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk1_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

fof(c_0_122,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_123,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_117]) ).

cnf(c_0_124,negated_conjecture,
    cong(esk5_0,esk1_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

fof(c_0_125,plain,
    ! [X9,X10,X11,X12] :
      ( ~ midp(X11,X9,X10)
      | ~ perp(X12,X11,X9,X10)
      | cong(X12,X9,X12,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).

cnf(c_0_126,negated_conjecture,
    perp(esk2_0,esk3_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_78,c_0_120]) ).

fof(c_0_127,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_128,negated_conjecture,
    ( para(X1,esk6_0,X2,esk1_0)
    | ~ midp(X1,esk2_0,X2) ),
    inference(spm,[status(thm)],[c_0_83,c_0_86]) ).

cnf(c_0_129,negated_conjecture,
    coll(esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_80,c_0_121]) ).

fof(c_0_130,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ cong(X7,X8,X9,X10)
      | ~ cong(X9,X10,X11,X12)
      | cong(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).

cnf(c_0_131,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_132,negated_conjecture,
    cong(esk5_0,esk1_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_133,plain,
    ( cong(X1,X2,X1,X3)
    | ~ perp(X1,X4,X2,X3)
    | ~ midp(X4,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_125]) ).

cnf(c_0_134,negated_conjecture,
    perp(esk5_0,esk4_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_41,c_0_126]) ).

cnf(c_0_135,negated_conjecture,
    perp(esk4_0,esk5_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_78,c_0_114]) ).

fof(c_0_136,plain,
    ! [X9,X10,X11,X12,X13] :
      ( ~ circle(X12,X9,X10,X11)
      | ~ midp(X13,X10,X11)
      | eqangle(X9,X10,X9,X11,X12,X10,X12,X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD50])]) ).

fof(c_0_137,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_138,plain,
    ( para(X1,X2,X3,X4)
    | ~ midp(X5,X2,X4)
    | ~ midp(X5,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_127]) ).

cnf(c_0_139,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(X2,esk2_0,X3)
    | ~ midp(X2,X1,X3)
    | ~ coll(esk6_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_91,c_0_128]) ).

cnf(c_0_140,negated_conjecture,
    coll(esk4_0,esk2_0,esk2_0),
    inference(spm,[status(thm)],[c_0_72,c_0_102]) ).

cnf(c_0_141,negated_conjecture,
    ( coll(X1,esk3_0,esk1_0)
    | ~ coll(esk1_0,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_129]) ).

cnf(c_0_142,negated_conjecture,
    coll(esk1_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_80,c_0_108]) ).

fof(c_0_143,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_144,plain,
    ( cong(X1,X2,X3,X4)
    | ~ cong(X5,X6,X3,X4)
    | ~ cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_130]) ).

cnf(c_0_145,negated_conjecture,
    cong(esk3_0,esk5_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_146,negated_conjecture,
    cong(esk5_0,esk2_0,esk5_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_75])]) ).

cnf(c_0_147,negated_conjecture,
    perp(esk3_0,esk2_0,esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_41,c_0_135]) ).

cnf(c_0_148,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X5)
    | ~ midp(X5,X2,X3)
    | ~ circle(X4,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_136]) ).

cnf(c_0_149,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_137]) ).

cnf(c_0_150,negated_conjecture,
    ( para(X1,esk2_0,X2,esk1_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_86]) ).

cnf(c_0_151,negated_conjecture,
    ( para(X1,esk1_0,X2,esk2_0)
    | ~ midp(esk6_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_95]) ).

cnf(c_0_152,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(esk5_0,esk2_0,esk1_0)
    | ~ midp(esk4_0,X1,esk2_0)
    | ~ coll(esk6_0,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_106]),c_0_140])]) ).

cnf(c_0_153,negated_conjecture,
    coll(esk6_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_154,plain,
    ( midp(X1,X2,X3)
    | ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_143]) ).

cnf(c_0_155,negated_conjecture,
    ( cong(X1,X2,esk5_0,esk1_0)
    | ~ cong(X1,X2,esk3_0,esk5_0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_156,negated_conjecture,
    cong(esk5_0,esk2_0,esk3_0,esk5_0),
    inference(spm,[status(thm)],[c_0_123,c_0_146]) ).

cnf(c_0_157,negated_conjecture,
    cong(esk6_0,esk1_0,esk6_0,esk2_0),
    inference(spm,[status(thm)],[c_0_118,c_0_95]) ).

cnf(c_0_158,negated_conjecture,
    perp(esk3_0,esk2_0,esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_78,c_0_147]) ).

fof(c_0_159,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_160,negated_conjecture,
    ( eqangle(esk1_0,esk2_0,esk1_0,esk3_0,esk7_0,esk2_0,esk7_0,X1)
    | ~ midp(X1,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_48]) ).

cnf(c_0_161,negated_conjecture,
    ( midp(X1,esk1_0,esk2_0)
    | ~ midp(esk6_0,X2,X3)
    | ~ midp(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).

cnf(c_0_162,negated_conjecture,
    ( midp(esk6_0,esk3_0,esk1_0)
    | ~ midp(esk5_0,esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_66]),c_0_153])]) ).

cnf(c_0_163,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2)
    | ~ coll(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_154]) ).

cnf(c_0_164,negated_conjecture,
    cong(esk5_0,esk2_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_165,negated_conjecture,
    ( para(X1,esk3_0,X2,esk2_0)
    | ~ midp(esk4_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_66]) ).

cnf(c_0_166,negated_conjecture,
    ( midp(esk4_0,esk2_0,X1)
    | ~ midp(esk5_0,X1,esk1_0)
    | ~ coll(esk4_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_106]) ).

cnf(c_0_167,negated_conjecture,
    cong(esk6_0,esk1_0,esk2_0,esk6_0),
    inference(spm,[status(thm)],[c_0_123,c_0_157]) ).

cnf(c_0_168,negated_conjecture,
    perp(esk5_0,esk4_0,esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_41,c_0_158]) ).

fof(c_0_169,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_170,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_159]) ).

cnf(c_0_171,negated_conjecture,
    eqangle(esk1_0,esk2_0,esk1_0,esk3_0,esk7_0,esk2_0,esk7_0,esk4_0),
    inference(spm,[status(thm)],[c_0_160,c_0_75]) ).

cnf(c_0_172,negated_conjecture,
    ( midp(X1,esk1_0,esk2_0)
    | ~ midp(esk5_0,esk2_0,esk1_0)
    | ~ midp(X1,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_173,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_99])]) ).

cnf(c_0_174,negated_conjecture,
    cong(esk5_0,esk1_0,esk5_0,esk2_0),
    inference(spm,[status(thm)],[c_0_131,c_0_164]) ).

cnf(c_0_175,negated_conjecture,
    ( eqangle(X1,esk6_0,X2,X3,X4,esk1_0,X2,X3)
    | ~ midp(X1,esk2_0,X4) ),
    inference(spm,[status(thm)],[c_0_50,c_0_128]) ).

cnf(c_0_176,negated_conjecture,
    ( perp(X1,esk3_0,X2,X3)
    | ~ midp(esk4_0,X1,X4)
    | ~ perp(X4,esk2_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_165]) ).

cnf(c_0_177,negated_conjecture,
    perp(esk1_0,esk2_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_99])]) ).

cnf(c_0_178,negated_conjecture,
    ( midp(X1,X2,X2)
    | ~ midp(X1,X3,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_64]),c_0_64])]) ).

cnf(c_0_179,negated_conjecture,
    ( midp(esk4_0,esk2_0,X1)
    | ~ midp(esk5_0,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_99])]) ).

fof(c_0_180,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_181,negated_conjecture,
    cong(esk2_0,esk6_0,esk6_0,esk1_0),
    inference(spm,[status(thm)],[c_0_131,c_0_167]) ).

cnf(c_0_182,negated_conjecture,
    cong(esk5_0,esk3_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_118,c_0_88]) ).

cnf(c_0_183,negated_conjecture,
    cong(esk5_0,esk3_0,esk5_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_168]),c_0_66])]) ).

fof(c_0_184,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_185,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_169]) ).

cnf(c_0_186,negated_conjecture,
    eqangle(esk2_0,esk1_0,esk1_0,esk3_0,esk7_0,esk2_0,esk7_0,esk4_0),
    inference(spm,[status(thm)],[c_0_170,c_0_171]) ).

cnf(c_0_187,negated_conjecture,
    ( midp(X1,esk1_0,esk2_0)
    | ~ midp(X1,esk3_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174])]) ).

fof(c_0_188,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_189,negated_conjecture,
    eqangle(esk4_0,esk6_0,X1,X2,esk3_0,esk1_0,X1,X2),
    inference(spm,[status(thm)],[c_0_175,c_0_75]) ).

cnf(c_0_190,negated_conjecture,
    ( perp(X1,esk3_0,esk2_0,esk3_0)
    | ~ midp(esk4_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

cnf(c_0_191,negated_conjecture,
    ( midp(esk4_0,X1,X1)
    | ~ midp(esk5_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_192,plain,
    ( perp(X1,X2,X3,X4)
    | ~ cong(X1,X4,X2,X4)
    | ~ cong(X1,X3,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_180]) ).

cnf(c_0_193,negated_conjecture,
    cong(esk2_0,esk6_0,esk1_0,esk6_0),
    inference(spm,[status(thm)],[c_0_123,c_0_181]) ).

cnf(c_0_194,negated_conjecture,
    cong(esk5_0,esk3_0,esk1_0,esk5_0),
    inference(spm,[status(thm)],[c_0_123,c_0_182]) ).

cnf(c_0_195,negated_conjecture,
    cong(esk5_0,esk3_0,esk2_0,esk5_0),
    inference(spm,[status(thm)],[c_0_123,c_0_183]) ).

cnf(c_0_196,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(esk5_0,esk2_0,esk1_0)
    | ~ midp(esk4_0,X1,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_99])]) ).

cnf(c_0_197,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_184]) ).

cnf(c_0_198,negated_conjecture,
    eqangle(esk7_0,esk2_0,esk7_0,esk4_0,esk2_0,esk1_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_199,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(X2,esk2_0,X3)
    | ~ midp(X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_99])]) ).

cnf(c_0_200,negated_conjecture,
    ( midp(X1,esk2_0,esk1_0)
    | ~ midp(X1,esk3_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_187]) ).

fof(c_0_201,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_202,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_188]) ).

cnf(c_0_203,negated_conjecture,
    para(esk4_0,esk6_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_57,c_0_189]) ).

cnf(c_0_204,negated_conjecture,
    ( perp(esk1_0,esk3_0,esk2_0,esk3_0)
    | ~ midp(esk5_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_205,negated_conjecture,
    ( perp(esk2_0,esk1_0,X1,esk6_0)
    | ~ cong(esk2_0,X1,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_206,negated_conjecture,
    ( cong(X1,X2,esk1_0,esk5_0)
    | ~ cong(X1,X2,esk5_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_194]) ).

cnf(c_0_207,negated_conjecture,
    cong(esk2_0,esk5_0,esk5_0,esk3_0),
    inference(spm,[status(thm)],[c_0_131,c_0_195]) ).

cnf(c_0_208,negated_conjecture,
    ( midp(X1,esk7_0,esk7_0)
    | ~ midp(X1,esk1_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_51]),c_0_51])]) ).

cnf(c_0_209,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(esk5_0,esk2_0,esk1_0)
    | ~ midp(esk5_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_196,c_0_110]) ).

cnf(c_0_210,negated_conjecture,
    ( para(esk7_0,esk2_0,esk7_0,esk4_0)
    | ~ para(esk2_0,esk1_0,esk1_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_211,negated_conjecture,
    ( para(X1,esk1_0,X2,esk3_0)
    | ~ midp(esk5_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_138,c_0_119]) ).

cnf(c_0_212,negated_conjecture,
    ( midp(esk5_0,X1,esk1_0)
    | ~ midp(X2,esk3_0,X3)
    | ~ midp(X2,X1,X3)
    | ~ coll(esk5_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_91,c_0_97]) ).

cnf(c_0_213,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(X2,esk3_0,esk1_0)
    | ~ midp(X2,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_199,c_0_200]) ).

cnf(c_0_214,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_201]) ).

cnf(c_0_215,negated_conjecture,
    para(esk4_0,esk6_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_216,negated_conjecture,
    eqangle(esk1_0,esk3_0,esk2_0,esk1_0,esk7_0,esk4_0,esk7_0,esk2_0),
    inference(spm,[status(thm)],[c_0_53,c_0_186]) ).

cnf(c_0_217,negated_conjecture,
    perp(esk1_0,esk3_0,esk2_0,esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_173]),c_0_174])]) ).

cnf(c_0_218,negated_conjecture,
    ( perp(X1,esk2_0,X2,X3)
    | ~ midp(esk6_0,X1,X4)
    | ~ perp(X4,esk1_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_150]) ).

cnf(c_0_219,negated_conjecture,
    perp(esk2_0,esk1_0,esk5_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).

cnf(c_0_220,negated_conjecture,
    ( midp(esk6_0,esk7_0,esk7_0)
    | ~ midp(esk5_0,esk2_0,esk1_0)
    | ~ midp(esk5_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_221,negated_conjecture,
    ( para(esk7_0,esk2_0,esk7_0,esk4_0)
    | ~ midp(esk5_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_210,c_0_211]) ).

cnf(c_0_222,negated_conjecture,
    ( midp(esk5_0,X1,esk1_0)
    | ~ midp(X2,esk3_0,X3)
    | ~ midp(X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_99])]) ).

cnf(c_0_223,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(esk5_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_88]) ).

cnf(c_0_224,negated_conjecture,
    para(esk1_0,esk3_0,esk4_0,esk6_0),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

cnf(c_0_225,negated_conjecture,
    eqangle(esk3_0,esk1_0,esk2_0,esk1_0,esk7_0,esk4_0,esk7_0,esk2_0),
    inference(spm,[status(thm)],[c_0_170,c_0_216]) ).

cnf(c_0_226,negated_conjecture,
    perp(esk2_0,esk3_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_41,c_0_217]) ).

cnf(c_0_227,negated_conjecture,
    ( perp(X1,esk2_0,esk5_0,esk6_0)
    | ~ midp(esk6_0,X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_228,negated_conjecture,
    ( midp(esk6_0,X1,X1)
    | ~ midp(esk5_0,esk2_0,esk1_0)
    | ~ midp(esk5_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_220]) ).

cnf(c_0_229,negated_conjecture,
    ( para(esk7_0,esk2_0,esk4_0,esk7_0)
    | ~ midp(esk5_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_202,c_0_221]) ).

cnf(c_0_230,negated_conjecture,
    ( midp(esk5_0,X1,esk1_0)
    | ~ midp(esk6_0,X1,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_88])]) ).

cnf(c_0_231,negated_conjecture,
    para(esk1_0,esk3_0,esk6_0,esk4_0),
    inference(spm,[status(thm)],[c_0_202,c_0_224]) ).

cnf(c_0_232,negated_conjecture,
    eqangle(esk7_0,esk4_0,esk7_0,esk2_0,esk3_0,esk1_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_185,c_0_225]) ).

cnf(c_0_233,negated_conjecture,
    perp(esk2_0,esk3_0,esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_99])]) ).

cnf(c_0_234,negated_conjecture,
    perp(esk2_0,esk3_0,esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_78,c_0_226]) ).

cnf(c_0_235,negated_conjecture,
    para(X1,X2,X2,X1),
    inference(spm,[status(thm)],[c_0_202,c_0_64]) ).

cnf(c_0_236,negated_conjecture,
    ( perp(esk2_0,esk2_0,esk5_0,esk6_0)
    | ~ midp(esk5_0,esk2_0,esk1_0)
    | ~ midp(esk5_0,esk1_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_237,negated_conjecture,
    cong(esk5_0,esk1_0,esk5_0,esk1_0),
    inference(spm,[status(thm)],[c_0_155,c_0_132]) ).

cnf(c_0_238,negated_conjecture,
    ( para(esk4_0,esk7_0,esk7_0,esk2_0)
    | ~ midp(esk5_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_214,c_0_229]) ).

cnf(c_0_239,negated_conjecture,
    midp(esk5_0,esk2_0,esk1_0),
    inference(spm,[status(thm)],[c_0_230,c_0_86]) ).

cnf(c_0_240,plain,
    ( midp(X1,X2,X3)
    | ~ midp(X4,X2,X5)
    | ~ para(X4,X1,X5,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_99])]) ).

cnf(c_0_241,negated_conjecture,
    para(esk6_0,esk4_0,esk1_0,esk3_0),
    inference(spm,[status(thm)],[c_0_214,c_0_231]) ).

cnf(c_0_242,negated_conjecture,
    ( para(esk7_0,esk4_0,esk7_0,esk2_0)
    | ~ para(esk3_0,esk1_0,esk2_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_197,c_0_232]) ).

cnf(c_0_243,negated_conjecture,
    ( para(X1,X2,esk2_0,esk1_0)
    | ~ perp(X1,X2,esk2_0,esk3_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_233]) ).

cnf(c_0_244,negated_conjecture,
    perp(esk3_0,esk1_0,esk2_0,esk3_0),
    inference(spm,[status(thm)],[c_0_41,c_0_234]) ).

fof(c_0_245,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_246,negated_conjecture,
    eqangle(X1,X2,X3,X4,X2,X1,X3,X4),
    inference(spm,[status(thm)],[c_0_50,c_0_235]) ).

cnf(c_0_247,negated_conjecture,
    ( perp(esk2_0,esk2_0,esk5_0,esk6_0)
    | ~ midp(esk5_0,esk2_0,esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_173]),c_0_237])]) ).

cnf(c_0_248,plain,
    ( midp(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_99])]) ).

cnf(c_0_249,negated_conjecture,
    para(esk4_0,esk7_0,esk7_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_239])]) ).

cnf(c_0_250,negated_conjecture,
    ( midp(esk4_0,X1,esk3_0)
    | ~ midp(esk6_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_251,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(esk5_0,X2,esk1_0)
    | ~ midp(esk4_0,X1,X2)
    | ~ coll(esk6_0,X1,esk1_0)
    | ~ coll(esk4_0,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_139,c_0_166]) ).

cnf(c_0_252,negated_conjecture,
    para(esk7_0,esk4_0,esk7_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244])]) ).

fof(c_0_253,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_254,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_245]) ).

cnf(c_0_255,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X4,X3),
    inference(spm,[status(thm)],[c_0_53,c_0_246]) ).

fof(c_0_256,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])]) ).

cnf(c_0_257,negated_conjecture,
    ( perp(X1,esk4_0,X2,X3)
    | ~ midp(X1,esk3_0,X4)
    | ~ perp(X4,esk2_0,X2,X3) ),
    inference(spm,[status(thm)],[c_0_96,c_0_92]) ).

cnf(c_0_258,negated_conjecture,
    perp(esk2_0,esk2_0,esk5_0,esk6_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_164])]) ).

cnf(c_0_259,negated_conjecture,
    ( midp(esk7_0,X1,esk2_0)
    | ~ midp(esk4_0,X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_249]) ).

cnf(c_0_260,negated_conjecture,
    ( midp(esk4_0,esk3_0,X1)
    | ~ midp(esk6_0,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_65,c_0_250]) ).

cnf(c_0_261,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(esk5_0,X2,esk1_0)
    | ~ midp(esk4_0,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_99]),c_0_99])]) ).

cnf(c_0_262,negated_conjecture,
    ( midp(esk4_0,X1,esk2_0)
    | ~ midp(esk7_0,X1,esk7_0) ),
    inference(spm,[status(thm)],[c_0_240,c_0_252]) ).

cnf(c_0_263,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_253]) ).

cnf(c_0_264,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X4,X3),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_265,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_256]) ).

cnf(c_0_266,negated_conjecture,
    eqangle(X1,X2,X3,X4,X1,X2,X3,X4),
    inference(spm,[status(thm)],[c_0_50,c_0_64]) ).

cnf(c_0_267,negated_conjecture,
    ( perp(X1,esk4_0,esk5_0,esk6_0)
    | ~ midp(X1,esk3_0,esk2_0) ),
    inference(spm,[status(thm)],[c_0_257,c_0_258]) ).

cnf(c_0_268,negated_conjecture,
    ( midp(esk7_0,esk3_0,esk2_0)
    | ~ midp(esk6_0,esk7_0,esk1_0) ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_269,negated_conjecture,
    ~ perp(esk7_0,esk4_0,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_270,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ midp(esk7_0,X1,esk7_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_239])]) ).

cnf(c_0_271,negated_conjecture,
    ( cong(X1,X1,X2,X2)
    | ~ cyclic(X1,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_263,c_0_264]) ).

cnf(c_0_272,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_265,c_0_99])]) ).

cnf(c_0_273,negated_conjecture,
    eqangle(X1,X2,X1,X2,X3,X4,X3,X4),
    inference(spm,[status(thm)],[c_0_254,c_0_266]) ).

cnf(c_0_274,negated_conjecture,
    ~ midp(esk6_0,esk7_0,esk1_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]) ).

cnf(c_0_275,negated_conjecture,
    ( midp(esk6_0,X1,esk1_0)
    | ~ cong(esk7_0,X1,esk7_0,esk7_0) ),
    inference(spm,[status(thm)],[c_0_270,c_0_248]) ).

cnf(c_0_276,negated_conjecture,
    cong(X1,X1,X2,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273])]) ).

cnf(c_0_277,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_276])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 08:43:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.022 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 278
% 0.24/1.42  # Proof object clause steps            : 205
% 0.24/1.42  # Proof object formula steps           : 73
% 0.24/1.42  # Proof object conjectures             : 165
% 0.24/1.42  # Proof object clause conjectures      : 162
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 40
% 0.24/1.42  # Proof object initial formulas used   : 36
% 0.24/1.42  # Proof object generating inferences   : 151
% 0.24/1.42  # Proof object simplifying inferences  : 67
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 95
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 21
% 0.24/1.42  # Initial clauses                      : 97
% 0.24/1.42  # Removed in clause preprocessing      : 0
% 0.24/1.42  # Initial clauses in saturation        : 97
% 0.24/1.42  # Processed clauses                    : 4134
% 0.24/1.42  # ...of these trivial                  : 492
% 0.24/1.42  # ...subsumed                          : 1126
% 0.24/1.42  # ...remaining for further processing  : 2516
% 0.24/1.42  # Other redundant clauses eliminated   : 0
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 110
% 0.24/1.42  # Backward-rewritten                   : 860
% 0.24/1.42  # Generated clauses                    : 32540
% 0.24/1.42  # ...of the previous two non-trivial   : 28423
% 0.24/1.42  # Contextual simplify-reflections      : 319
% 0.24/1.42  # Paramodulations                      : 32540
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 0
% 0.24/1.42  # Current number of processed clauses  : 1546
% 0.24/1.42  #    Positive orientable unit clauses  : 539
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 22
% 0.24/1.42  #    Non-unit-clauses                  : 985
% 0.24/1.42  # Current number of unprocessed clauses: 17125
% 0.24/1.42  # ...number of literals in the above   : 61745
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 970
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 423748
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 310979
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 1483
% 0.24/1.42  # Unit Clause-clause subsumption calls : 158343
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 22259
% 0.24/1.42  # BW rewrite match successes           : 453
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 433693
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.696 s
% 0.24/1.42  # System time              : 0.014 s
% 0.24/1.42  # Total time               : 0.710 s
% 0.24/1.42  # Maximum resident set size: 22144 pages
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 0.24/23.42  eprover: CPU time limit exceeded, terminating
% 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
% 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.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
% 0.24/23.46  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
% 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
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.24/23.48  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
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
% 0.24/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.50  eprover: No such file or directory
%------------------------------------------------------------------------------