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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : GEO586+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 12:28:31 PM UTC 2026

% Result   : Theorem 2.25s 0.76s
% Output   : CNFRefutation 2.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  179 (  59 unt;   0 def)
%            Number of atoms       :  365 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  316 ( 130   ~; 127   |;  27   &)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-4 aty)
%            Number of variables   :  547 (  37 sgn 282   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416048,conjecture,
    ! [X1,X2,X3,X8,X4,X5,X19,X20] :
      ( ( circle(X19,X1,X2,X5)
        & coll(X5,X2,X4)
        & coll(X5,X1,X3)
        & circle(X8,X1,X4,X20)
        & circle(X8,X1,X2,X3) )
     => perp(X19,X5,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416048) ).

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

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

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

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

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

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

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

fof(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

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

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

fof(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X5)
        & cyclic(X1,X2,X3,X4) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

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(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(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).

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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

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

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

fof(c_0_31,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X4,X5,X19,X20] :
        ( ( circle(X19,X1,X2,X5)
          & coll(X5,X2,X4)
          & coll(X5,X1,X3)
          & circle(X8,X1,X4,X20)
          & circle(X8,X1,X2,X3) )
       => perp(X19,X5,X3,X4) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416048]) ).

fof(c_0_32,plain,
    ! [X53,X54,X55,X56,X57,X58] :
      ( para(X53,X54,X57,X58)
      | ~ perp(X55,X56,X57,X58)
      | ~ perp(X53,X54,X55,X56) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).

fof(c_0_33,plain,
    ! [X495,X496,X497,X498] :
      ( perp(esk12_4(X495,X496,X497,X498),X495,X495,X498)
      | ~ circle(X498,X495,X496,X497) ),
    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_34,plain,
    ! [X49,X50,X51,X52] :
      ( perp(X51,X52,X49,X50)
      | ~ perp(X49,X50,X51,X52) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).

fof(c_0_35,plain,
    ! [X24,X25,X26] :
      ( coll(X25,X24,X26)
      | ~ coll(X24,X25,X26) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).

fof(c_0_36,negated_conjecture,
    ( ~ perp(esk27_0,esk26_0,esk23_0,esk25_0)
    & circle(esk27_0,esk21_0,esk22_0,esk26_0)
    & coll(esk26_0,esk22_0,esk25_0)
    & coll(esk26_0,esk21_0,esk23_0)
    & circle(esk24_0,esk21_0,esk25_0,esk28_0)
    & circle(esk24_0,esk21_0,esk22_0,esk23_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).

cnf(c_0_37,plain,
    ( ~ perp(X3,X4,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_38,plain,
    ( ~ circle(X1,X2,X3,X4)
    | perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_39,plain,
    ( ~ perp(X1,X2,X3,X4)
    | perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

fof(c_0_40,plain,
    ! [X21,X22,X23] :
      ( coll(X21,X23,X22)
      | ~ coll(X21,X22,X23) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).

cnf(c_0_41,plain,
    ( ~ coll(X1,X2,X3)
    | coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    coll(esk26_0,esk22_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_43,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_37,c_0_38]) ).

cnf(c_0_44,plain,
    ( ~ circle(X2,X1,X3,X4)
    | perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_38]) ).

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

cnf(c_0_46,negated_conjecture,
    coll(esk22_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk26_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_48,plain,
    ! [X31,X32,X33,X34] :
      ( para(X31,X32,X34,X33)
      | ~ para(X31,X32,X33,X34) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).

cnf(c_0_49,plain,
    ( ~ circle(X2,X1,X3,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    circle(esk27_0,esk21_0,esk22_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

fof(c_0_51,plain,
    ! [X27,X28,X29,X30] :
      ( coll(X29,X30,X27)
      | ~ coll(X27,X28,X30)
      | ~ coll(X27,X28,X29) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).

cnf(c_0_52,negated_conjecture,
    coll(esk22_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk21_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_41,c_0_47]) ).

fof(c_0_54,plain,
    ! [X102,X103,X104,X105,X106,X107,X108,X109] :
      ( eqangle(X104,X105,X102,X103,X108,X109,X106,X107)
      | ~ eqangle(X102,X103,X104,X105,X106,X107,X108,X109) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).

fof(c_0_55,plain,
    ! [X256,X257,X258,X259,X260,X261] :
      ( eqangle(X256,X257,X260,X261,X258,X259,X260,X261)
      | ~ para(X256,X257,X258,X259) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).

fof(c_0_56,plain,
    ! [X35,X36,X37,X38] :
      ( para(X37,X38,X35,X36)
      | ~ para(X35,X36,X37,X38) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).

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

cnf(c_0_58,negated_conjecture,
    para(esk21_0,esk27_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_59,plain,
    ( ~ coll(X1,X2,X4)
    | ~ coll(X1,X2,X3)
    | coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_60,negated_conjecture,
    coll(esk25_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_41,c_0_52]) ).

cnf(c_0_61,negated_conjecture,
    coll(esk21_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_45,c_0_53]) ).

fof(c_0_62,plain,
    ! [X250,X251,X252,X253,X254,X255] :
      ( para(X250,X251,X252,X253)
      | ~ eqangle(X250,X251,X254,X255,X252,X253,X254,X255) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).

cnf(c_0_63,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_54]) ).

cnf(c_0_64,plain,
    ( ~ para(X1,X2,X3,X4)
    | eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_65,plain,
    ( ~ para(X1,X2,X3,X4)
    | para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_66,negated_conjecture,
    para(esk21_0,esk27_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ coll(esk25_0,esk22_0,X1)
    | coll(X1,esk26_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_68,negated_conjecture,
    coll(esk23_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_41,c_0_61]) ).

cnf(c_0_69,plain,
    ( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_70,plain,
    ( ~ para(X3,X4,X5,X6)
    | eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,negated_conjecture,
    para(esk27_0,esk21_0,esk21_0,esk27_0),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk26_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_67,c_0_60]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ coll(esk23_0,esk21_0,X1)
    | coll(X1,esk26_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_68]) ).

fof(c_0_74,plain,
    ! [X385,X386,X387] :
      ( coll(X385,X386,X387)
      | ~ para(X385,X386,X385,X387) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).

cnf(c_0_75,plain,
    ( ~ para(X3,X4,X3,X4)
    | para(X1,X2,X1,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    para(esk27_0,esk21_0,esk27_0,esk21_0),
    inference(spm,[status(thm)],[c_0_57,c_0_71]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ coll(esk26_0,esk26_0,X1)
    | coll(X1,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk26_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_73,c_0_68]) ).

cnf(c_0_79,plain,
    ( ~ para(X1,X2,X1,X3)
    | coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_80,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_81,negated_conjecture,
    coll(esk23_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_82,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_83,negated_conjecture,
    coll(esk23_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_45,c_0_81]) ).

fof(c_0_84,plain,
    ! [X270,X271,X272,X273] :
      ( cyclic(X270,X271,X272,X273)
      | ~ coll(X272,X273,X271)
      | ~ eqangle(X272,X270,X272,X271,X273,X270,X273,X271) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])])]) ).

cnf(c_0_85,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_41,c_0_82]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ coll(esk26_0,esk21_0,X1)
    | coll(X1,esk23_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_47]) ).

cnf(c_0_87,negated_conjecture,
    coll(esk26_0,esk25_0,esk22_0),
    inference(spm,[status(thm)],[c_0_45,c_0_42]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk26_0,esk23_0,esk25_0),
    inference(spm,[status(thm)],[c_0_41,c_0_83]) ).

cnf(c_0_89,plain,
    ( ~ coll(X1,X4,X3)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_90,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_45,c_0_85]) ).

cnf(c_0_91,negated_conjecture,
    coll(esk23_0,esk23_0,esk26_0),
    inference(spm,[status(thm)],[c_0_86,c_0_47]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ coll(esk26_0,esk25_0,X1)
    | coll(X1,esk22_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_87]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk26_0,esk25_0,esk23_0),
    inference(spm,[status(thm)],[c_0_45,c_0_88]) ).

fof(c_0_94,plain,
    ! [X81,X82,X83,X84] :
      ( cyclic(X81,X83,X82,X84)
      | ~ cyclic(X81,X82,X83,X84) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])])]) ).

cnf(c_0_95,plain,
    ( ~ coll(X3,X3,X2)
    | ~ para(X3,X1,X3,X1)
    | cyclic(X1,X2,X3,X3) ),
    inference(spm,[status(thm)],[c_0_89,c_0_64]) ).

cnf(c_0_96,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_90]),c_0_90])]) ).

cnf(c_0_97,negated_conjecture,
    coll(esk23_0,esk26_0,esk23_0),
    inference(spm,[status(thm)],[c_0_45,c_0_91]) ).

cnf(c_0_98,negated_conjecture,
    coll(esk23_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

fof(c_0_99,plain,
    ! [X77,X78,X79,X80] :
      ( cyclic(X77,X78,X80,X79)
      | ~ cyclic(X77,X78,X79,X80) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])])]) ).

cnf(c_0_100,plain,
    ( ~ cyclic(X1,X2,X3,X4)
    | cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_101,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_80])]),c_0_96])]) ).

fof(c_0_102,plain,
    ! [X311,X312,X313,X314,X315] :
      ( midp(X315,X312,X313)
      | ~ eqangle(X311,X312,X311,X313,X314,X312,X314,X315)
      | ~ coll(X315,X312,X313)
      | ~ circle(X314,X311,X312,X313) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])])]) ).

fof(c_0_103,plain,
    ! [X262,X263,X264,X265] :
      ( eqangle(X264,X262,X264,X263,X265,X262,X265,X263)
      | ~ cyclic(X262,X263,X264,X265) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])])]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ coll(esk23_0,esk26_0,X1)
    | coll(X1,esk23_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_59,c_0_97]) ).

cnf(c_0_105,negated_conjecture,
    coll(esk23_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_45,c_0_98]) ).

fof(c_0_106,plain,
    ! [X85,X86,X87,X88] :
      ( cyclic(X86,X85,X87,X88)
      | ~ cyclic(X85,X86,X87,X88) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])])]) ).

cnf(c_0_107,plain,
    ( ~ cyclic(X1,X2,X3,X4)
    | cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_108,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

fof(c_0_109,plain,
    ! [X290,X291,X292] :
      ( eqangle(X292,X290,X290,X291,X290,X291,X292,X291)
      | ~ cong(X292,X290,X292,X291) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).

cnf(c_0_110,plain,
    ( ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5)
    | ~ coll(X5,X3,X4)
    | ~ circle(X1,X2,X3,X4)
    | midp(X5,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_111,plain,
    ( ~ cyclic(X1,X2,X3,X4)
    | eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_112,negated_conjecture,
    coll(esk22_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

fof(c_0_113,plain,
    ! [X89,X90,X91,X92,X93] :
      ( cyclic(X90,X91,X92,X93)
      | ~ cyclic(X89,X90,X91,X93)
      | ~ cyclic(X89,X90,X91,X92) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])])]) ).

cnf(c_0_114,plain,
    ( ~ cyclic(X1,X2,X3,X4)
    | cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_115,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_116,plain,
    ( ~ cong(X1,X2,X1,X3)
    | eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_117,plain,
    ( ~ coll(X1,X2,X1)
    | ~ circle(X4,X3,X2,X1)
    | ~ cyclic(X2,X1,X3,X4)
    | midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_118,negated_conjecture,
    circle(esk24_0,esk21_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_119,negated_conjecture,
    coll(esk23_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_41,c_0_112]) ).

cnf(c_0_120,plain,
    ( ~ cyclic(X1,X2,X3,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | cyclic(X2,X3,X4,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_121,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

fof(c_0_122,plain,
    ! [X285,X286,X287,X288,X289] :
      ( midp(X289,X285,X287)
      | ~ coll(X289,X285,X287)
      | ~ para(X288,X289,X286,X287)
      | ~ midp(X288,X285,X286) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).

cnf(c_0_123,plain,
    ( ~ cong(X1,X1,X1,X2)
    | para(X1,X1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_116]) ).

fof(c_0_124,plain,
    ! [X65,X66,X67] :
      ( midp(X67,X65,X66)
      | ~ midp(X67,X66,X65) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ cyclic(esk22_0,esk23_0,esk21_0,esk24_0)
    | midp(esk23_0,esk22_0,esk23_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119])]) ).

cnf(c_0_126,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_121])]) ).

cnf(c_0_127,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_122]) ).

cnf(c_0_128,plain,
    ( ~ cong(X1,X1,X1,X2)
    | para(X1,X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_123]) ).

fof(c_0_129,plain,
    ! [X391,X392,X393] :
      ( cong(X391,X392,X391,X393)
      | ~ midp(X391,X392,X393) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).

cnf(c_0_130,plain,
    ( ~ midp(X1,X2,X3)
    | midp(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_124]) ).

cnf(c_0_131,negated_conjecture,
    midp(esk23_0,esk22_0,esk23_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_126])]) ).

cnf(c_0_132,plain,
    ( ~ coll(X1,X2,X1)
    | ~ midp(X1,X2,X3)
    | ~ cong(X1,X1,X1,X3)
    | midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_128]) ).

cnf(c_0_133,plain,
    ( ~ midp(X1,X2,X3)
    | cong(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_129]) ).

cnf(c_0_134,negated_conjecture,
    midp(esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

fof(c_0_135,plain,
    ! [X427,X428,X429,X430,X431,X432,X433,X434] :
      ( cong(X427,X428,X429,X430)
      | ~ cong(X431,X432,X433,X434)
      | ~ eqratio(X427,X428,X429,X430,X431,X432,X433,X434) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).

fof(c_0_136,plain,
    ! [X397,X398,X399,X400,X401,X402] :
      ( eqratio(X401,X397,X397,X398,X402,X399,X399,X400)
      | ~ midp(X402,X399,X400)
      | ~ midp(X401,X397,X398) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).

fof(c_0_137,plain,
    ! [X375,X376,X377,X378,X379] :
      ( midp(X379,X377,X378)
      | ~ para(X375,X378,X376,X377)
      | ~ para(X375,X377,X376,X378)
      | ~ midp(X379,X375,X376) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).

cnf(c_0_138,plain,
    ( ~ midp(X1,X2,X3)
    | ~ cong(X1,X1,X1,X3)
    | midp(X1,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_85])]) ).

cnf(c_0_139,negated_conjecture,
    cong(esk23_0,esk23_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_140,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_135]) ).

cnf(c_0_141,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_136]) ).

cnf(c_0_142,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_137]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ midp(esk23_0,X1,esk22_0)
    | midp(esk23_0,X1,esk23_0) ),
    inference(spm,[status(thm)],[c_0_138,c_0_139]) ).

cnf(c_0_144,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_140,c_0_141]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ midp(X1,X3,X3)
    | midp(X1,X2,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_80]),c_0_80])]) ).

cnf(c_0_146,negated_conjecture,
    midp(esk23_0,esk23_0,esk23_0),
    inference(spm,[status(thm)],[c_0_143,c_0_134]) ).

fof(c_0_147,plain,
    ! [X142,X143,X144,X145] :
      ( cong(X144,X145,X142,X143)
      | ~ cong(X142,X143,X144,X145) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).

cnf(c_0_148,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_144,c_0_139]),c_0_134])]) ).

cnf(c_0_149,negated_conjecture,
    midp(esk23_0,X1,X1),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

fof(c_0_150,plain,
    ! [X138,X139,X140,X141] :
      ( cong(X138,X139,X141,X140)
      | ~ cong(X138,X139,X140,X141) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).

cnf(c_0_151,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_147]) ).

cnf(c_0_152,negated_conjecture,
    cong(esk23_0,X1,X1,X1),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

fof(c_0_153,plain,
    ! [X388,X389,X390] :
      ( midp(X388,X389,X390)
      | ~ coll(X388,X389,X390)
      | ~ cong(X388,X389,X388,X390) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).

cnf(c_0_154,plain,
    ( ~ cong(X1,X2,X3,X4)
    | cong(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_150]) ).

cnf(c_0_155,negated_conjecture,
    cong(X1,X1,esk23_0,X1),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_156,plain,
    ( ~ coll(X1,X2,X3)
    | ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_153]) ).

cnf(c_0_157,negated_conjecture,
    cong(X1,X1,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

cnf(c_0_158,plain,
    ( ~ cong(X1,X2,X1,X3)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_96])]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ midp(X1,X2,esk23_0)
    | midp(X1,X2,X1) ),
    inference(spm,[status(thm)],[c_0_138,c_0_157]) ).

cnf(c_0_160,negated_conjecture,
    midp(X1,X1,esk23_0),
    inference(spm,[status(thm)],[c_0_158,c_0_157]) ).

cnf(c_0_161,negated_conjecture,
    midp(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_159,c_0_160]) ).

cnf(c_0_162,negated_conjecture,
    midp(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_145,c_0_161]) ).

cnf(c_0_163,negated_conjecture,
    cong(X1,X2,X2,X2),
    inference(spm,[status(thm)],[c_0_148,c_0_162]) ).

cnf(c_0_164,negated_conjecture,
    cong(X1,X1,X2,X1),
    inference(spm,[status(thm)],[c_0_151,c_0_163]) ).

cnf(c_0_165,plain,
    ( ~ cong(X1,X1,X1,X2)
    | para(X1,X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_123]) ).

cnf(c_0_166,negated_conjecture,
    cong(X1,X1,X1,X2),
    inference(spm,[status(thm)],[c_0_154,c_0_164]) ).

cnf(c_0_167,plain,
    ( ~ coll(X1,X2,X3)
    | ~ midp(X3,X2,X3)
    | ~ cong(X3,X3,X3,X1)
    | midp(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_127,c_0_165]) ).

cnf(c_0_168,negated_conjecture,
    midp(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_158,c_0_166]) ).

cnf(c_0_169,plain,
    ( ~ midp(X3,X2,X3)
    | ~ cong(X3,X3,X3,X1)
    | midp(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167,c_0_96])]) ).

cnf(c_0_170,negated_conjecture,
    midp(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_130,c_0_168]) ).

cnf(c_0_171,plain,
    midp(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_166])]),c_0_170])]) ).

fof(c_0_172,plain,
    ! [X332,X333,X334,X335] :
      ( perp(X332,X333,X334,X335)
      | ~ cong(X332,X335,X333,X335)
      | ~ cong(X332,X334,X333,X334) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).

cnf(c_0_173,negated_conjecture,
    cong(X1,X2,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_171])]) ).

cnf(c_0_174,plain,
    ( ~ cong(X1,X4,X3,X4)
    | ~ cong(X1,X2,X3,X2)
    | perp(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_172]) ).

cnf(c_0_175,negated_conjecture,
    cong(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_154,c_0_173]) ).

cnf(c_0_176,negated_conjecture,
    ~ perp(esk27_0,esk26_0,esk23_0,esk25_0),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_177,plain,
    perp(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_175]),c_0_175])]) ).

cnf(c_0_178,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO586+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n003.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 17:41:30 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 2.25/0.76  % Version: 3.5.1
% 2.25/0.76  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.25/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.76  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.25/0.76  % Starting new_bool_3 with 300s (1) cores
% 2.25/0.76  % Starting new_bool_1 with 300s (1) cores
% 2.25/0.76  % Starting sh5l with 300s (1) cores
% 2.25/0.76  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2244340 completed with status 0
% 2.25/0.76  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.25/0.76  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.25/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.76  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.25/0.76  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.25/0.76  % No SInE strategy applied
% 2.25/0.76  % Search class: FGUSF-FFLS33-SFFFFFNN
% 2.25/0.76  % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 2.25/0.76  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.25/0.76  % Starting SubtermCWHack with 136s (1) cores
% 2.25/0.76  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.25/0.76  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.25/0.76  % Starting new_bool_3 with 136s (1) cores
% 2.25/0.76  % Starting new_bool_1 with 136s (1) cores
% 2.25/0.76  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2244351 completed with status 0
% 2.25/0.76  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 2.25/0.76  % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.25/0.76  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.25/0.76  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.25/0.76  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.25/0.76  % No SInE strategy applied
% 2.25/0.76  % Search class: FGUSF-FFLS33-SFFFFFNN
% 2.25/0.76  % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 2.25/0.76  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.25/0.76  % Starting SubtermCWHack with 136s (1) cores
% 2.25/0.76  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.25/0.76  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 2.25/0.76  % Preprocessing time       : 0.003 s
% 2.25/0.76  % Presaturation interreduction done
% 2.25/0.76  
% 2.25/0.76  % Proof found!
% 2.25/0.76  % SZS status Theorem
% 2.25/0.76  % SZS output start CNFRefutation
% See solution above
% 2.25/0.76  % Parsed axioms                        : 95
% 2.25/0.76  % Removed by relevancy pruning/SinE    : 0
% 2.25/0.76  % Initial clauses                      : 119
% 2.25/0.76  % Removed in clause preprocessing      : 0
% 2.25/0.76  % Initial clauses in saturation        : 119
% 2.25/0.76  % Processed clauses                    : 2835
% 2.25/0.76  % ...of these trivial                  : 285
% 2.25/0.76  % ...subsumed                          : 165
% 2.25/0.76  % ...remaining for further processing  : 2385
% 2.25/0.76  % Other redundant clauses eliminated   : 0
% 2.25/0.76  % Clauses deleted for lack of memory   : 0
% 2.25/0.76  % Backward-subsumed                    : 21
% 2.25/0.76  % Backward-rewritten                   : 2207
% 2.25/0.76  % Generated clauses                    : 14810
% 2.25/0.76  % ...of the previous two non-redundant : 8992
% 2.25/0.76  % ...aggressively subsumed             : 0
% 2.25/0.76  % Contextual simplify-reflections      : 19
% 2.25/0.76  % Paramodulations                      : 14810
% 2.25/0.76  % Factorizations                       : 0
% 2.25/0.76  % NegExts                              : 0
% 2.25/0.76  % Equation resolutions                 : 0
% 2.25/0.76  % Disequality decompositions           : 0
% 2.25/0.76  % Total rewrite steps                  : 9231
% 2.25/0.76  % ...of those cached                   : 6483
% 2.25/0.76  % Propositional unsat checks           : 0
% 2.25/0.76  %    Propositional check models        : 0
% 2.25/0.76  %    Propositional check unsatisfiable : 0
% 2.25/0.76  %    Propositional clauses             : 0
% 2.25/0.76  %    Propositional clauses after purity: 0
% 2.25/0.76  %    Propositional unsat core size     : 0
% 2.25/0.76  %    Propositional preprocessing time  : 0.000
% 2.25/0.76  %    Propositional encoding time       : 0.000
% 2.25/0.76  %    Propositional solver time         : 0.000
% 2.25/0.76  %    Success case prop preproc time    : 0.000
% 2.25/0.76  %    Success case prop encoding time   : 0.000
% 2.25/0.76  %    Success case prop solver time     : 0.000
% 2.25/0.76  % Current number of processed clauses  : 39
% 2.25/0.76  %    Positive orientable unit clauses  : 10
% 2.25/0.76  %    Positive unorientable unit clauses: 0
% 2.25/0.76  %    Negative unit clauses             : 0
% 2.25/0.76  %    Non-unit-clauses                  : 29
% 2.25/0.76  % Current number of unprocessed clauses: 5565
% 2.25/0.76  % ...number of literals in the above   : 18486
% 2.25/0.76  % Current number of archived formulas  : 0
% 2.25/0.76  % Current number of archived clauses   : 2346
% 2.25/0.76  % Clause-clause subsumption calls (NU) : 87316
% 2.25/0.76  % Rec. Clause-clause subsumption calls : 75399
% 2.25/0.76  % Non-unit clause-clause subsumptions  : 205
% 2.25/0.76  % Unit Clause-clause subsumption calls : 32876
% 2.25/0.76  % Rewrite failures with RHS unbound    : 0
% 2.25/0.76  % BW rewrite match attempts            : 12431
% 2.25/0.76  % BW rewrite match successes           : 1667
% 2.25/0.76  % Condensation attempts                : 0
% 2.25/0.76  % Condensation successes               : 0
% 2.25/0.76  % Termbank termtop insertions          : 178116
% 2.25/0.76  % Search garbage collected termcells   : 2803
% 2.25/0.76  
% 2.25/0.76  % -------------------------------------------------
% 2.25/0.76  % User time                : 0.309 s
% 2.25/0.76  % System time              : 0.015 s
% 2.25/0.76  % Total time               : 0.324 s
% 2.25/0.76  % Maximum resident set size: 4304 pages
% 2.25/0.76  
% 2.25/0.76  % -------------------------------------------------
% 2.25/0.76  % User time                : 1.448 s
% 2.25/0.76  % System time              : 0.075 s
% 2.25/0.76  % Total time               : 1.523 s
% 2.25/0.76  % Maximum resident set size: 4864 pages
% 2.25/0.76  % E exiting
%------------------------------------------------------------------------------