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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO632+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:28:38 PM UTC 2026

% Result   : Theorem 2.94s 0.85s
% Output   : CNFRefutation 2.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  180 (  57 unt;   0 def)
%            Number of atoms       :  391 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  355 ( 144   ~; 141   |;  40   &)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-6 aty)
%            Number of variables   :  593 (  32 sgn 286   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110995,conjecture,
    ! [X1,X2,X3,X19,X20,X6,X9,X10,X21,X22] :
      ( ( coll(X10,X1,X20)
        & circle(X6,X1,X10,X22)
        & coll(X9,X1,X19)
        & circle(X6,X1,X9,X21)
        & circle(X6,X1,X2,X3)
        & coll(X20,X2,X3)
        & eqangle(X20,X1,X1,X2,X3,X1,X1,X19)
        & midp(X19,X3,X2) )
     => para(X2,X3,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110995) ).

fof(ruleD69,axiom,
    ! [X1,X2,X3] :
      ( midp(X1,X2,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).

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

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

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

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

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

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

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

fof(ruleX6,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
    ? [X9] :
      ( ( midp(X17,X3,X4)
        & midp(X7,X1,X2) )
     => ( para(X9,X17,X1,X3)
        & para(X9,X7,X2,X4)
        & midp(X9,X1,X4) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

fof(ruleD25,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( cong(X3,X4,X5,X6)
        & cong(X1,X2,X3,X4) )
     => cong(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).

fof(ruleD9,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( perp(X3,X4,X5,X6)
        & perp(X1,X2,X3,X4) )
     => para(X1,X2,X5,X6) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

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

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

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

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

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

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

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

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

fof(ruleD75,axiom,
    ! [X1,X2,X3,X4,X9,X10,X11,X12] :
      ( ( cong(X9,X10,X11,X12)
        & eqratio(X1,X2,X3,X4,X9,X10,X11,X12) )
     => cong(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(ruleD70,axiom,
    ! [X1,X2,X3,X4,X7,X17] :
      ( ( midp(X17,X3,X4)
        & midp(X7,X1,X2) )
     => eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

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

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

fof(ruleD46,axiom,
    ! [X1,X2,X8] :
      ( cong(X8,X1,X8,X2)
     => eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).

fof(ruleD45,axiom,
    ! [X1,X2,X3,X5,X6] :
      ( ( coll(X6,X1,X3)
        & para(X5,X6,X2,X3)
        & midp(X5,X1,X2) )
     => midp(X6,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

fof(c_0_29,negated_conjecture,
    ~ ! [X1,X2,X3,X19,X20,X6,X9,X10,X21,X22] :
        ( ( coll(X10,X1,X20)
          & circle(X6,X1,X10,X22)
          & coll(X9,X1,X19)
          & circle(X6,X1,X9,X21)
          & circle(X6,X1,X2,X3)
          & coll(X20,X2,X3)
          & eqangle(X20,X1,X1,X2,X3,X1,X1,X19)
          & midp(X19,X3,X2) )
       => para(X2,X3,X9,X10) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110995]) ).

fof(c_0_30,plain,
    ! [X396,X397,X398] :
      ( coll(X396,X397,X398)
      | ~ midp(X396,X397,X398) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).

fof(c_0_31,negated_conjecture,
    ( ~ para(esk22_0,esk23_0,esk27_0,esk28_0)
    & coll(esk28_0,esk21_0,esk25_0)
    & circle(esk26_0,esk21_0,esk28_0,esk30_0)
    & coll(esk27_0,esk21_0,esk24_0)
    & circle(esk26_0,esk21_0,esk27_0,esk29_0)
    & circle(esk26_0,esk21_0,esk22_0,esk23_0)
    & coll(esk25_0,esk22_0,esk23_0)
    & eqangle(esk25_0,esk21_0,esk21_0,esk22_0,esk23_0,esk21_0,esk21_0,esk24_0)
    & midp(esk24_0,esk23_0,esk22_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).

fof(c_0_32,plain,
    ! [X26,X27,X28] :
      ( coll(X27,X26,X28)
      | ~ coll(X26,X27,X28) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).

cnf(c_0_33,plain,
    ( ~ midp(X1,X2,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    midp(esk24_0,esk23_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_35,plain,
    ! [X67,X68,X69] :
      ( midp(X69,X67,X68)
      | ~ midp(X69,X68,X67) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).

fof(c_0_36,plain,
    ! [X23,X24,X25] :
      ( coll(X23,X25,X24)
      | ~ coll(X23,X24,X25) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).

cnf(c_0_37,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,negated_conjecture,
    coll(esk24_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

fof(c_0_39,plain,
    ! [X393,X394,X395] :
      ( cong(X393,X394,X393,X395)
      | ~ midp(X393,X394,X395) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).

cnf(c_0_40,plain,
    ( ~ midp(X1,X2,X3)
    | midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

fof(c_0_41,plain,
    ! [X29,X30,X31,X32] :
      ( coll(X31,X32,X29)
      | ~ coll(X29,X30,X32)
      | ~ coll(X29,X30,X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).

cnf(c_0_42,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,negated_conjecture,
    coll(esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

fof(c_0_44,plain,
    ! [X140,X141,X142,X143] :
      ( cong(X140,X141,X143,X142)
      | ~ cong(X140,X141,X142,X143) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).

cnf(c_0_45,plain,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    midp(esk24_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_40,c_0_34]) ).

cnf(c_0_47,plain,
    ( ~ coll(X1,X2,X4)
    | ~ coll(X1,X2,X3)
    | coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,negated_conjecture,
    coll(esk23_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

fof(c_0_49,plain,
    ! [X372,X373,X374,X375,X376] :
      ( para(X372,X374,X373,X375)
      | ~ midp(X376,X374,X375)
      | ~ midp(X376,X372,X373) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).

fof(c_0_50,plain,
    ! [X463,X464,X465,X466,X467,X468] :
      ( ( ~ midp(X468,X465,X466)
        | ~ midp(X467,X463,X464)
        | para(esk6_6(X463,X464,X465,X466,X467,X468),X468,X463,X465) )
      & ( ~ midp(X468,X465,X466)
        | ~ midp(X467,X463,X464)
        | para(esk6_6(X463,X464,X465,X466,X467,X468),X467,X464,X466) )
      & ( ~ midp(X468,X465,X466)
        | ~ midp(X467,X463,X464)
        | midp(esk6_6(X463,X464,X465,X466,X467,X468),X463,X466) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).

fof(c_0_51,plain,
    ! [X148,X149,X150,X151,X152,X153] :
      ( cong(X148,X149,X152,X153)
      | ~ cong(X150,X151,X152,X153)
      | ~ cong(X148,X149,X150,X151) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).

cnf(c_0_52,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_54,plain,
    ! [X144,X145,X146,X147] :
      ( cong(X146,X147,X144,X145)
      | ~ cong(X144,X145,X146,X147) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ coll(esk23_0,esk22_0,X1)
    | coll(X1,esk24_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

fof(c_0_56,plain,
    ! [X55,X56,X57,X58,X59,X60] :
      ( para(X55,X56,X59,X60)
      | ~ perp(X57,X58,X59,X60)
      | ~ perp(X55,X56,X57,X58) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).

fof(c_0_57,plain,
    ! [X497,X498,X499,X500] :
      ( perp(esk12_4(X497,X498,X499,X500),X497,X497,X500)
      | ~ circle(X500,X497,X498,X499) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).

fof(c_0_58,plain,
    ! [X51,X52,X53,X54] :
      ( perp(X53,X54,X51,X52)
      | ~ perp(X51,X52,X53,X54) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).

cnf(c_0_59,plain,
    ( ~ midp(X1,X4,X5)
    | ~ midp(X1,X2,X3)
    | para(X2,X4,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_60,plain,
    ( ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2)
    | midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_61,plain,
    ( ~ cong(X3,X4,X5,X6)
    | ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_62,negated_conjecture,
    cong(esk24_0,esk22_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_63,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_64,negated_conjecture,
    coll(esk24_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_55,c_0_48]) ).

fof(c_0_65,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( para(X41,X42,X45,X46)
      | ~ para(X43,X44,X45,X46)
      | ~ para(X41,X42,X43,X44) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])])]) ).

fof(c_0_66,plain,
    ! [X37,X38,X39,X40] :
      ( para(X39,X40,X37,X38)
      | ~ para(X37,X38,X39,X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).

cnf(c_0_67,plain,
    ( ~ perp(X3,X4,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_68,plain,
    ( ~ circle(X1,X2,X3,X4)
    | perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_69,plain,
    ( ~ perp(X1,X2,X3,X4)
    | perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_70,plain,
    ( ~ midp(X7,X2,X5)
    | ~ midp(X8,X6,X4)
    | ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
    | para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_71,plain,
    ( ~ midp(X5,X1,X2)
    | ~ midp(X6,X3,X4)
    | midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_60]) ).

fof(c_0_72,plain,
    ! [X390,X391,X392] :
      ( midp(X390,X391,X392)
      | ~ coll(X390,X391,X392)
      | ~ cong(X390,X391,X390,X392) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ cong(X1,X2,esk24_0,esk22_0)
    | cong(X1,X2,esk23_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_74,negated_conjecture,
    cong(esk23_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_63,c_0_62]) ).

cnf(c_0_75,negated_conjecture,
    coll(esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_42,c_0_64]) ).

cnf(c_0_76,plain,
    ( ~ para(X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_77,plain,
    ( ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2)
    | para(esk6_6(X1,X2,X3,X4,X5,X6),X6,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_78,plain,
    ( ~ para(X1,X2,X3,X4)
    | para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_79,plain,
    ( ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
    | ~ circle(X4,X3,X5,X6)
    | para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_80,plain,
    ( ~ circle(X2,X1,X3,X4)
    | perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_68]) ).

cnf(c_0_81,plain,
    ( ~ midp(X5,X2,X6)
    | ~ midp(X3,X4,X1)
    | para(X1,X2,X2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_82,plain,
    ( ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_83,negated_conjecture,
    cong(esk23_0,esk24_0,esk23_0,esk24_0),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk23_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_37,c_0_75]) ).

cnf(c_0_85,plain,
    ( ~ para(X1,X2,esk6_6(X3,X8,X4,X6,X7,X5),X5)
    | ~ midp(X7,X3,X8)
    | ~ midp(X5,X4,X6)
    | para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_86,plain,
    ( ~ midp(X5,X1,X3)
    | ~ midp(X6,X2,X4)
    | para(X1,X2,esk6_6(X1,X3,X2,X4,X5,X6),X6) ),
    inference(spm,[status(thm)],[c_0_78,c_0_77]) ).

fof(c_0_87,plain,
    ! [X33,X34,X35,X36] :
      ( para(X33,X34,X36,X35)
      | ~ para(X33,X34,X35,X36) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).

cnf(c_0_88,plain,
    ( ~ circle(X2,X1,X3,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_89,negated_conjecture,
    circle(esk26_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ midp(X2,X1,X3)
    | para(esk22_0,X1,X1,esk22_0) ),
    inference(spm,[status(thm)],[c_0_81,c_0_34]) ).

cnf(c_0_91,negated_conjecture,
    midp(esk23_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ coll(esk24_0,esk23_0,X1)
    | coll(X1,esk22_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_38]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk27_0,esk21_0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_94,plain,
    ( ~ midp(X5,X1,X6)
    | ~ midp(X3,X2,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

fof(c_0_95,plain,
    ! [X104,X105,X106,X107,X108,X109,X110,X111] :
      ( eqangle(X106,X107,X104,X105,X110,X111,X108,X109)
      | ~ eqangle(X104,X105,X106,X107,X108,X109,X110,X111) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).

fof(c_0_96,plain,
    ! [X258,X259,X260,X261,X262,X263] :
      ( eqangle(X258,X259,X262,X263,X260,X261,X262,X263)
      | ~ para(X258,X259,X260,X261) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).

cnf(c_0_97,plain,
    ( ~ para(X1,X2,X3,X4)
    | para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_98,negated_conjecture,
    para(esk21_0,esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

fof(c_0_99,plain,
    ! [X377,X378,X379,X380,X381] :
      ( midp(X381,X379,X380)
      | ~ para(X377,X380,X378,X379)
      | ~ para(X377,X379,X378,X380)
      | ~ midp(X381,X377,X378) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).

cnf(c_0_100,negated_conjecture,
    para(esk22_0,esk24_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_101,negated_conjecture,
    cong(esk24_0,esk23_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_45,c_0_34]) ).

cnf(c_0_102,negated_conjecture,
    coll(esk22_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_92,c_0_38]) ).

cnf(c_0_103,negated_conjecture,
    ( ~ coll(esk27_0,esk21_0,X1)
    | coll(X1,esk24_0,esk27_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_93]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ midp(X2,X1,X3)
    | para(X1,esk23_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_94,c_0_34]) ).

fof(c_0_105,plain,
    ! [X252,X253,X254,X255,X256,X257] :
      ( para(X252,X253,X254,X255)
      | ~ eqangle(X252,X253,X256,X257,X254,X255,X256,X257) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).

cnf(c_0_106,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_95]) ).

cnf(c_0_107,plain,
    ( ~ para(X1,X2,X3,X4)
    | eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_108,negated_conjecture,
    para(esk21_0,esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_109,plain,
    ( ~ para(X2,X5,X3,X4)
    | ~ para(X2,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | midp(X1,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_110,negated_conjecture,
    para(esk22_0,esk24_0,esk22_0,esk24_0),
    inference(spm,[status(thm)],[c_0_97,c_0_100]) ).

cnf(c_0_111,negated_conjecture,
    ( ~ cong(X1,X2,esk24_0,esk23_0)
    | cong(X1,X2,esk24_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_61,c_0_101]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_42,c_0_102]) ).

cnf(c_0_113,negated_conjecture,
    coll(esk24_0,esk24_0,esk27_0),
    inference(spm,[status(thm)],[c_0_103,c_0_93]) ).

cnf(c_0_114,negated_conjecture,
    para(esk24_0,esk23_0,esk24_0,esk23_0),
    inference(spm,[status(thm)],[c_0_104,c_0_91]) ).

cnf(c_0_115,plain,
    ( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_116,plain,
    ( ~ para(X3,X4,X5,X6)
    | eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_117,negated_conjecture,
    para(esk26_0,esk21_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_78,c_0_108]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ midp(X1,esk22_0,esk22_0)
    | midp(X1,esk24_0,esk24_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_110])]) ).

cnf(c_0_119,negated_conjecture,
    cong(esk24_0,esk22_0,esk24_0,esk22_0),
    inference(spm,[status(thm)],[c_0_111,c_0_53]) ).

cnf(c_0_120,negated_conjecture,
    coll(esk24_0,esk22_0,esk22_0),
    inference(spm,[status(thm)],[c_0_37,c_0_112]) ).

cnf(c_0_121,negated_conjecture,
    coll(esk24_0,esk27_0,esk24_0),
    inference(spm,[status(thm)],[c_0_42,c_0_113]) ).

fof(c_0_122,plain,
    ! [X429,X430,X431,X432,X433,X434,X435,X436] :
      ( cong(X429,X430,X431,X432)
      | ~ cong(X433,X434,X435,X436)
      | ~ eqratio(X429,X430,X431,X432,X433,X434,X435,X436) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).

fof(c_0_123,plain,
    ! [X399,X400,X401,X402,X403,X404] :
      ( eqratio(X403,X399,X399,X400,X404,X401,X401,X402)
      | ~ midp(X404,X401,X402)
      | ~ midp(X403,X399,X400) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).

cnf(c_0_124,negated_conjecture,
    ( ~ midp(X1,esk24_0,esk24_0)
    | midp(X1,esk23_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_114]),c_0_114])]) ).

cnf(c_0_125,plain,
    ( ~ para(X3,X4,X3,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_126,negated_conjecture,
    para(esk26_0,esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_97,c_0_117]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ midp(X1,esk22_0,esk22_0)
    | cong(X1,esk24_0,X1,esk24_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_118]) ).

cnf(c_0_128,negated_conjecture,
    midp(esk24_0,esk22_0,esk22_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_119]),c_0_120])]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ coll(esk24_0,esk27_0,X1)
    | coll(X1,esk24_0,esk24_0) ),
    inference(spm,[status(thm)],[c_0_47,c_0_121]) ).

cnf(c_0_130,plain,
    ( ~ cong(X5,X6,X7,X8)
    | ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
    | cong(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_122]) ).

cnf(c_0_131,plain,
    ( ~ midp(X4,X5,X6)
    | ~ midp(X1,X2,X3)
    | eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_123]) ).

cnf(c_0_132,negated_conjecture,
    midp(esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_124,c_0_91]) ).

cnf(c_0_133,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_134,negated_conjecture,
    cong(esk24_0,esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_135,negated_conjecture,
    coll(esk24_0,esk24_0,esk24_0),
    inference(spm,[status(thm)],[c_0_129,c_0_121]) ).

cnf(c_0_136,plain,
    ( ~ midp(X1,X2,X3)
    | ~ midp(X4,X5,X6)
    | ~ cong(X4,X5,X5,X6)
    | cong(X1,X2,X2,X3) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_137,negated_conjecture,
    cong(esk23_0,esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_45,c_0_132]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ midp(X1,X3,X3)
    | midp(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_133]),c_0_133])]) ).

cnf(c_0_139,negated_conjecture,
    midp(esk24_0,esk24_0,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_134]),c_0_135])]) ).

fof(c_0_140,plain,
    ! [X387,X388,X389] :
      ( coll(X387,X388,X389)
      | ~ para(X387,X388,X387,X389) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_132])]) ).

cnf(c_0_142,negated_conjecture,
    midp(esk24_0,X1,X1),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_143,plain,
    ( ~ para(X1,X2,X1,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_140]) ).

fof(c_0_144,plain,
    ! [X413,X414,X415,X416,X417,X418,X419,X420] :
      ( para(X413,X414,X415,X416)
      | ~ para(X417,X418,X419,X420)
      | ~ eqangle(X413,X414,X415,X416,X417,X418,X419,X420) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).

fof(c_0_145,plain,
    ! [X292,X293,X294] :
      ( eqangle(X294,X292,X292,X293,X292,X293,X294,X293)
      | ~ cong(X294,X292,X294,X293) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).

cnf(c_0_146,negated_conjecture,
    cong(esk24_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_141,c_0_142]) ).

cnf(c_0_147,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_143,c_0_133]) ).

cnf(c_0_148,plain,
    ( ~ para(X5,X6,X7,X8)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
    | para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_144]) ).

cnf(c_0_149,plain,
    ( ~ cong(X1,X2,X1,X3)
    | eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_145]) ).

cnf(c_0_150,negated_conjecture,
    cong(X1,X1,esk24_0,X1),
    inference(spm,[status(thm)],[c_0_63,c_0_146]) ).

cnf(c_0_151,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_37,c_0_147]) ).

cnf(c_0_152,plain,
    ( ~ para(X2,X3,X1,X3)
    | ~ cong(X1,X2,X1,X3)
    | para(X1,X2,X2,X3) ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_153,negated_conjecture,
    cong(X1,X1,X1,esk24_0),
    inference(spm,[status(thm)],[c_0_52,c_0_150]) ).

cnf(c_0_154,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_42,c_0_151]) ).

cnf(c_0_155,negated_conjecture,
    para(X1,X1,X1,esk24_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_133])]) ).

cnf(c_0_156,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_154]),c_0_154])]) ).

fof(c_0_157,plain,
    ! [X287,X288,X289,X290,X291] :
      ( midp(X291,X287,X289)
      | ~ coll(X291,X287,X289)
      | ~ para(X290,X291,X288,X289)
      | ~ midp(X290,X287,X288) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).

cnf(c_0_158,negated_conjecture,
    para(X1,X1,esk24_0,X1),
    inference(spm,[status(thm)],[c_0_97,c_0_155]) ).

cnf(c_0_159,plain,
    ( ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_156])]) ).

cnf(c_0_160,plain,
    ( ~ coll(X4,X2,X5)
    | ~ para(X1,X4,X3,X5)
    | ~ midp(X1,X2,X3)
    | midp(X4,X2,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_157]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ midp(X1,X2,esk24_0)
    | midp(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_158]),c_0_158])]) ).

cnf(c_0_162,negated_conjecture,
    midp(X1,X1,esk24_0),
    inference(spm,[status(thm)],[c_0_159,c_0_153]) ).

cnf(c_0_163,plain,
    ( ~ para(X4,X1,X5,X3)
    | ~ midp(X4,X2,X5)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_156])]) ).

cnf(c_0_164,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ midp(X3,X2,X3)
    | midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_163,c_0_133]) ).

cnf(c_0_166,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_138,c_0_164]) ).

cnf(c_0_167,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_168,plain,
    ( ~ cong(X1,X1,X1,X2)
    | para(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_115,c_0_149]) ).

cnf(c_0_169,negated_conjecture,
    midp(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_40,c_0_167]) ).

cnf(c_0_170,plain,
    ( ~ midp(X6,X3,X4)
    | ~ midp(X5,X1,X2)
    | para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_171,plain,
    ( ~ cong(X1,X1,X1,X2)
    | para(X1,X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_168]) ).

cnf(c_0_172,negated_conjecture,
    cong(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_45,c_0_169]) ).

cnf(c_0_173,plain,
    ( ~ midp(X5,X3,X1)
    | ~ midp(X6,X4,X2)
    | para(X1,X2,esk6_6(X3,X1,X4,X2,X5,X6),X5) ),
    inference(spm,[status(thm)],[c_0_78,c_0_170]) ).

cnf(c_0_174,plain,
    para(X1,X2,X1,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_172])]) ).

cnf(c_0_175,plain,
    ( ~ midp(X5,X3,X1)
    | ~ midp(X5,X4,X2)
    | para(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_85,c_0_173]) ).

cnf(c_0_176,plain,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_174]),c_0_167])]) ).

cnf(c_0_177,negated_conjecture,
    ~ para(esk22_0,esk23_0,esk27_0,esk28_0),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_178,plain,
    para(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176]),c_0_176])]) ).

cnf(c_0_179,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO632+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n004.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 20 18:07:49 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.94/0.85  % Version: 3.5.1
% 2.94/0.85  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.94/0.85  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.94/0.85  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.94/0.85  % Starting new_bool_3 with 300s (1) cores
% 2.94/0.85  % Starting new_bool_1 with 300s (1) cores
% 2.94/0.85  % Starting sh5l with 300s (1) cores
% 2.94/0.85  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1192670 completed with status 0
% 2.94/0.85  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.94/0.85  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.94/0.85  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.94/0.85  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.94/0.85  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.94/0.85  % No SInE strategy applied
% 2.94/0.85  % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.94/0.85  % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.94/0.85  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.94/0.85  % Starting SubtermCWHack with 136s (1) cores
% 2.94/0.85  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.94/0.85  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.94/0.85  % Starting new_bool_3 with 136s (1) cores
% 2.94/0.85  % Starting new_bool_1 with 136s (1) cores
% 2.94/0.85  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1192678 completed with status 0
% 2.94/0.85  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.94/0.85  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.94/0.85  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.94/0.85  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.94/0.85  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.94/0.85  % No SInE strategy applied
% 2.94/0.85  % Search class: FGUSF-FFLM33-SFFFFFNN
% 2.94/0.85  % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 2.94/0.85  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.94/0.85  % Starting SubtermCWHack with 136s (1) cores
% 2.94/0.85  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.94/0.85  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.94/0.85  % Preprocessing time       : 0.003 s
% 2.94/0.85  % Presaturation interreduction done
% 2.94/0.85  
% 2.94/0.85  % Proof found!
% 2.94/0.85  % SZS status Theorem
% 2.94/0.85  % SZS output start CNFRefutation
% See solution above
% 2.94/0.86  % Parsed axioms                        : 95
% 2.94/0.86  % Removed by relevancy pruning/SinE    : 0
% 2.94/0.86  % Initial clauses                      : 122
% 2.94/0.86  % Removed in clause preprocessing      : 0
% 2.94/0.86  % Initial clauses in saturation        : 122
% 2.94/0.86  % Processed clauses                    : 2694
% 2.94/0.86  % ...of these trivial                  : 274
% 2.94/0.86  % ...subsumed                          : 390
% 2.94/0.86  % ...remaining for further processing  : 2030
% 2.94/0.86  % Other redundant clauses eliminated   : 0
% 2.94/0.86  % Clauses deleted for lack of memory   : 0
% 2.94/0.86  % Backward-subsumed                    : 89
% 2.94/0.86  % Backward-rewritten                   : 1702
% 2.94/0.86  % Generated clauses                    : 14060
% 2.94/0.86  % ...of the previous two non-redundant : 8004
% 2.94/0.86  % ...aggressively subsumed             : 0
% 2.94/0.86  % Contextual simplify-reflections      : 4
% 2.94/0.86  % Paramodulations                      : 14060
% 2.94/0.86  % Factorizations                       : 0
% 2.94/0.86  % NegExts                              : 0
% 2.94/0.86  % Equation resolutions                 : 0
% 2.94/0.86  % Disequality decompositions           : 0
% 2.94/0.86  % Total rewrite steps                  : 8809
% 2.94/0.86  % ...of those cached                   : 6862
% 2.94/0.86  % Propositional unsat checks           : 0
% 2.94/0.86  %    Propositional check models        : 0
% 2.94/0.86  %    Propositional check unsatisfiable : 0
% 2.94/0.86  %    Propositional clauses             : 0
% 2.94/0.86  %    Propositional clauses after purity: 0
% 2.94/0.86  %    Propositional unsat core size     : 0
% 2.94/0.86  %    Propositional preprocessing time  : 0.000
% 2.94/0.86  %    Propositional encoding time       : 0.000
% 2.94/0.86  %    Propositional solver time         : 0.000
% 2.94/0.86  %    Success case prop preproc time    : 0.000
% 2.94/0.86  %    Success case prop encoding time   : 0.000
% 2.94/0.86  %    Success case prop solver time     : 0.000
% 2.94/0.86  % Current number of processed clauses  : 118
% 2.94/0.86  %    Positive orientable unit clauses  : 73
% 2.94/0.86  %    Positive unorientable unit clauses: 0
% 2.94/0.86  %    Negative unit clauses             : 0
% 2.94/0.86  %    Non-unit-clauses                  : 45
% 2.94/0.86  % Current number of unprocessed clauses: 5494
% 2.94/0.86  % ...number of literals in the above   : 17755
% 2.94/0.86  % Current number of archived formulas  : 0
% 2.94/0.86  % Current number of archived clauses   : 1912
% 2.94/0.86  % Clause-clause subsumption calls (NU) : 95289
% 2.94/0.86  % Rec. Clause-clause subsumption calls : 78370
% 2.94/0.86  % Non-unit clause-clause subsumptions  : 414
% 2.94/0.86  % Unit Clause-clause subsumption calls : 74316
% 2.94/0.86  % Rewrite failures with RHS unbound    : 0
% 2.94/0.86  % BW rewrite match attempts            : 8741
% 2.94/0.86  % BW rewrite match successes           : 1191
% 2.94/0.86  % Condensation attempts                : 0
% 2.94/0.86  % Condensation successes               : 0
% 2.94/0.86  % Termbank termtop insertions          : 153631
% 2.94/0.86  % Search garbage collected termcells   : 2835
% 2.94/0.86  
% 2.94/0.86  % -------------------------------------------------
% 2.94/0.86  % User time                : 0.310 s
% 2.94/0.86  % System time              : 0.016 s
% 2.94/0.86  % Total time               : 0.326 s
% 2.94/0.86  % Maximum resident set size: 4304 pages
% 2.94/0.86  
% 2.94/0.86  % -------------------------------------------------
% 2.94/0.86  % User time                : 1.781 s
% 2.94/0.86  % System time              : 0.095 s
% 2.94/0.86  % Total time               : 1.876 s
% 2.94/0.86  % Maximum resident set size: 4864 pages
% 2.94/0.86  % E exiting
%------------------------------------------------------------------------------