TSTP Solution File: GEO640+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO640+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:33:14 EDT 2023

% Result   : Theorem 4.53s 1.13s
% Output   : CNFRefutation 4.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   77 (  17 unt;   0 def)
%            Number of atoms       :  223 (   0 equ)
%            Maximal formula atoms :   26 (   2 avg)
%            Number of connectives :  199 (  53   ~;  50   |;  77   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   57 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :   31 (  31 usr;  30 con; 0-4 aty)
%            Number of variables   :  343 (  20 sgn; 212   !;   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/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD9) ).

fof(ruleX11,axiom,
    ! [X1,X2,X3,X8] :
    ? [X9] :
      ( circle(X8,X1,X2,X3)
     => perp(X9,X1,X1,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleX11) ).

fof(ruleD8,axiom,
    ! [X1,X2,X3,X4] :
      ( perp(X1,X2,X3,X4)
     => perp(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD8) ).

fof(exemplo6GDDFULL81109106,conjecture,
    ! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
      ( ( coll(X24,X19,X20)
        & coll(X24,X22,X23)
        & coll(X25,X20,X21)
        & coll(X25,X22,X23)
        & coll(X26,X20,X21)
        & coll(X26,X19,X23)
        & coll(X27,X21,X22)
        & coll(X27,X19,X23)
        & coll(X28,X19,X20)
        & coll(X28,X21,X22)
        & circle(X29,X22,X24,X28)
        & circle(X30,X28,X27,X19)
        & circle(X31,X27,X26,X21)
        & circle(X32,X25,X26,X23)
        & circle(X33,X25,X20,X24)
        & circle(X29,X22,X34,X39)
        & circle(X33,X20,X34,X40)
        & circle(X29,X22,X35,X41)
        & circle(X30,X19,X35,X42)
        & circle(X30,X19,X36,X43)
        & circle(X31,X21,X36,X44)
        & circle(X31,X21,X37,X45)
        & circle(X32,X23,X37,X46)
        & circle(X32,X23,X38,X47)
        & circle(X33,X20,X38,X48) )
     => cyclic(X35,X36,X37,X38) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',exemplo6GDDFULL81109106) ).

fof(ruleD4,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',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/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',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/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD40) ).

fof(ruleD5,axiom,
    ! [X1,X2,X3,X4] :
      ( para(X1,X2,X3,X4)
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',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/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD39) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD66) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD2) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD1) ).

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/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD42b) ).

fof(ruleD3,axiom,
    ! [X1,X2,X3,X4] :
      ( ( coll(X1,X2,X3)
        & coll(X1,X2,X4) )
     => coll(X3,X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD3) ).

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD15) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD14) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD16) ).

fof(ruleD17,axiom,
    ! [X1,X2,X3,X4,X5] :
      ( ( cyclic(X1,X2,X3,X4)
        & cyclic(X1,X2,X3,X5) )
     => cyclic(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.A90OwbHdnt/E---3.1_13129.p',ruleD17) ).

fof(c_0_18,plain,
    ! [X81,X82,X83,X84,X85,X86] :
      ( ~ perp(X81,X82,X83,X84)
      | ~ perp(X83,X84,X85,X86)
      | para(X81,X82,X85,X86) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_19,plain,
    ! [X523,X524,X525,X526] :
      ( ~ circle(X526,X523,X524,X525)
      | perp(esk12_4(X523,X524,X525,X526),X523,X523,X526) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).

fof(c_0_20,plain,
    ! [X77,X78,X79,X80] :
      ( ~ perp(X77,X78,X79,X80)
      | perp(X79,X80,X77,X78) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

cnf(c_0_21,plain,
    ( para(X1,X2,X5,X6)
    | ~ perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    ( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
    | ~ circle(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    ( perp(X3,X4,X1,X2)
    | ~ perp(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_24,negated_conjecture,
    ~ ! [X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47,X48] :
        ( ( coll(X24,X19,X20)
          & coll(X24,X22,X23)
          & coll(X25,X20,X21)
          & coll(X25,X22,X23)
          & coll(X26,X20,X21)
          & coll(X26,X19,X23)
          & coll(X27,X21,X22)
          & coll(X27,X19,X23)
          & coll(X28,X19,X20)
          & coll(X28,X21,X22)
          & circle(X29,X22,X24,X28)
          & circle(X30,X28,X27,X19)
          & circle(X31,X27,X26,X21)
          & circle(X32,X25,X26,X23)
          & circle(X33,X25,X20,X24)
          & circle(X29,X22,X34,X39)
          & circle(X33,X20,X34,X40)
          & circle(X29,X22,X35,X41)
          & circle(X30,X19,X35,X42)
          & circle(X30,X19,X36,X43)
          & circle(X31,X21,X36,X44)
          & circle(X31,X21,X37,X45)
          & circle(X32,X23,X37,X46)
          & circle(X32,X23,X38,X47)
          & circle(X33,X20,X38,X48) )
       => cyclic(X35,X36,X37,X38) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109106]) ).

cnf(c_0_25,plain,
    ( para(X1,X2,X3,X4)
    | ~ circle(X4,X3,X5,X6)
    | ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    ( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_23,c_0_22]) ).

fof(c_0_27,negated_conjecture,
    ( coll(esk26_0,esk21_0,esk22_0)
    & coll(esk26_0,esk24_0,esk25_0)
    & coll(esk27_0,esk22_0,esk23_0)
    & coll(esk27_0,esk24_0,esk25_0)
    & coll(esk28_0,esk22_0,esk23_0)
    & coll(esk28_0,esk21_0,esk25_0)
    & coll(esk29_0,esk23_0,esk24_0)
    & coll(esk29_0,esk21_0,esk25_0)
    & coll(esk30_0,esk21_0,esk22_0)
    & coll(esk30_0,esk23_0,esk24_0)
    & circle(esk31_0,esk24_0,esk26_0,esk30_0)
    & circle(esk32_0,esk30_0,esk29_0,esk21_0)
    & circle(esk33_0,esk29_0,esk28_0,esk23_0)
    & circle(esk34_0,esk27_0,esk28_0,esk25_0)
    & circle(esk35_0,esk27_0,esk22_0,esk26_0)
    & circle(esk31_0,esk24_0,esk36_0,esk41_0)
    & circle(esk35_0,esk22_0,esk36_0,esk42_0)
    & circle(esk31_0,esk24_0,esk37_0,esk43_0)
    & circle(esk32_0,esk21_0,esk37_0,esk44_0)
    & circle(esk32_0,esk21_0,esk38_0,esk45_0)
    & circle(esk33_0,esk23_0,esk38_0,esk46_0)
    & circle(esk33_0,esk23_0,esk39_0,esk47_0)
    & circle(esk34_0,esk25_0,esk39_0,esk48_0)
    & circle(esk34_0,esk25_0,esk40_0,esk49_0)
    & circle(esk35_0,esk22_0,esk40_0,esk50_0)
    & ~ cyclic(esk37_0,esk38_0,esk39_0,esk40_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).

fof(c_0_28,plain,
    ! [X59,X60,X61,X62] :
      ( ~ para(X59,X60,X61,X62)
      | para(X59,X60,X62,X61) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_29,plain,
    ( para(X1,X2,X1,X2)
    | ~ circle(X2,X1,X3,X4) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    circle(esk35_0,esk27_0,esk22_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_31,plain,
    ! [X130,X131,X132,X133,X134,X135,X136,X137] :
      ( ~ eqangle(X130,X131,X132,X133,X134,X135,X136,X137)
      | eqangle(X132,X133,X130,X131,X136,X137,X134,X135) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_32,plain,
    ! [X284,X285,X286,X287,X288,X289] :
      ( ~ para(X284,X285,X286,X287)
      | eqangle(X284,X285,X288,X289,X286,X287,X288,X289) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_33,plain,
    ! [X63,X64,X65,X66] :
      ( ~ para(X63,X64,X65,X66)
      | para(X65,X66,X63,X64) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_34,plain,
    ( para(X1,X2,X4,X3)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    para(esk27_0,esk35_0,esk27_0,esk35_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_36,plain,
    ! [X278,X279,X280,X281,X282,X283] :
      ( ~ eqangle(X278,X279,X282,X283,X280,X281,X282,X283)
      | para(X278,X279,X280,X281) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).

cnf(c_0_37,plain,
    ( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_38,plain,
    ( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_39,plain,
    ( para(X3,X4,X1,X2)
    | ~ para(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_40,negated_conjecture,
    para(esk27_0,esk35_0,esk35_0,esk27_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_41,plain,
    ( para(X1,X2,X5,X6)
    | ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_42,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_43,negated_conjecture,
    para(esk35_0,esk27_0,esk27_0,esk35_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_44,plain,
    ! [X413,X414,X415] :
      ( ~ para(X413,X414,X413,X415)
      | coll(X413,X414,X415) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_45,plain,
    ( para(X1,X2,X1,X2)
    | ~ para(X3,X4,X3,X4) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    para(esk35_0,esk27_0,esk35_0,esk27_0),
    inference(spm,[status(thm)],[c_0_34,c_0_43]) ).

fof(c_0_47,plain,
    ! [X52,X53,X54] :
      ( ~ coll(X52,X53,X54)
      | coll(X53,X52,X54) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_48,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_49,negated_conjecture,
    para(X1,X2,X1,X2),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

fof(c_0_50,plain,
    ! [X49,X50,X51] :
      ( ~ coll(X49,X50,X51)
      | coll(X49,X51,X50) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

cnf(c_0_51,plain,
    ( coll(X2,X1,X3)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_52,negated_conjecture,
    coll(X1,X2,X2),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_53,plain,
    ! [X298,X299,X300,X301] :
      ( ~ eqangle(X300,X298,X300,X299,X301,X298,X301,X299)
      | ~ coll(X300,X301,X299)
      | cyclic(X298,X299,X300,X301) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_54,plain,
    ! [X55,X56,X57,X58] :
      ( ~ coll(X55,X56,X57)
      | ~ coll(X55,X56,X58)
      | coll(X57,X58,X55) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_55,plain,
    ( coll(X1,X3,X2)
    | ~ coll(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,negated_conjecture,
    coll(X1,X2,X1),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,plain,
    ( cyclic(X2,X3,X1,X4)
    | ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ coll(X1,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_58,plain,
    ( coll(X3,X4,X1)
    | ~ coll(X1,X2,X3)
    | ~ coll(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_59,negated_conjecture,
    coll(X1,X1,X2),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

fof(c_0_60,plain,
    ! [X109,X110,X111,X112] :
      ( ~ cyclic(X109,X110,X111,X112)
      | cyclic(X109,X111,X110,X112) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_61,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_38]) ).

cnf(c_0_62,negated_conjecture,
    coll(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59])]) ).

fof(c_0_63,plain,
    ! [X105,X106,X107,X108] :
      ( ~ cyclic(X105,X106,X107,X108)
      | cyclic(X105,X106,X108,X107) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_64,plain,
    ( cyclic(X1,X3,X2,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_65,plain,
    cyclic(X1,X2,X3,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_49])]),c_0_62])]) ).

fof(c_0_66,plain,
    ! [X113,X114,X115,X116] :
      ( ~ cyclic(X113,X114,X115,X116)
      | cyclic(X114,X113,X115,X116) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_67,plain,
    ( cyclic(X1,X2,X4,X3)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_68,plain,
    cyclic(X1,X2,X3,X2),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

fof(c_0_69,plain,
    ! [X117,X118,X119,X120,X121] :
      ( ~ cyclic(X117,X118,X119,X120)
      | ~ cyclic(X117,X118,X119,X121)
      | cyclic(X118,X119,X120,X121) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_70,plain,
    ( cyclic(X2,X1,X3,X4)
    | ~ cyclic(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_71,plain,
    cyclic(X1,X2,X2,X3),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_72,plain,
    ( cyclic(X2,X3,X4,X5)
    | ~ cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X3,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_73,plain,
    cyclic(X1,X2,X1,X3),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_74,negated_conjecture,
    ~ cyclic(esk37_0,esk38_0,esk39_0,esk40_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_75,plain,
    cyclic(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73])]) ).

cnf(c_0_76,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GEO640+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.15  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Oct  3 06:11:04 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  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/tmp/tmp.A90OwbHdnt/E---3.1_13129.p
% 4.53/1.13  # Version: 3.1pre001
% 4.53/1.13  # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.53/1.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.53/1.13  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.53/1.13  # Starting new_bool_3 with 300s (1) cores
% 4.53/1.13  # Starting new_bool_1 with 300s (1) cores
% 4.53/1.13  # Starting sh5l with 300s (1) cores
% 4.53/1.13  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 13207 completed with status 0
% 4.53/1.13  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.53/1.13  # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.53/1.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.53/1.13  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.53/1.13  # No SInE strategy applied
% 4.53/1.13  # Search class: FGUSF-FFLM33-SFFFFFNN
% 4.53/1.13  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.53/1.13  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.53/1.13  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 4.53/1.13  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.53/1.13  # Starting new_bool_3 with 136s (1) cores
% 4.53/1.13  # Starting new_bool_1 with 136s (1) cores
% 4.53/1.13  # Starting sh5l with 136s (1) cores
% 4.53/1.13  # SAT001_MinMin_p005000_rr_RG with pid 13214 completed with status 0
% 4.53/1.13  # Result found by SAT001_MinMin_p005000_rr_RG
% 4.53/1.13  # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.53/1.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.53/1.13  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.53/1.13  # No SInE strategy applied
% 4.53/1.13  # Search class: FGUSF-FFLM33-SFFFFFNN
% 4.53/1.13  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.53/1.13  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.53/1.13  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 4.53/1.13  # Preprocessing time       : 0.003 s
% 4.53/1.13  # Presaturation interreduction done
% 4.53/1.13  
% 4.53/1.13  # Proof found!
% 4.53/1.13  # SZS status Theorem
% 4.53/1.13  # SZS output start CNFRefutation
% See solution above
% 4.53/1.13  # Parsed axioms                        : 95
% 4.53/1.13  # Removed by relevancy pruning/SinE    : 0
% 4.53/1.13  # Initial clauses                      : 139
% 4.53/1.13  # Removed in clause preprocessing      : 0
% 4.53/1.13  # Initial clauses in saturation        : 139
% 4.53/1.13  # Processed clauses                    : 6038
% 4.53/1.13  # ...of these trivial                  : 992
% 4.53/1.13  # ...subsumed                          : 309
% 4.53/1.13  # ...remaining for further processing  : 4737
% 4.53/1.13  # Other redundant clauses eliminated   : 0
% 4.53/1.13  # Clauses deleted for lack of memory   : 0
% 4.53/1.13  # Backward-subsumed                    : 1
% 4.53/1.13  # Backward-rewritten                   : 4354
% 4.53/1.13  # Generated clauses                    : 42693
% 4.53/1.13  # ...of the previous two non-redundant : 23928
% 4.53/1.13  # ...aggressively subsumed             : 0
% 4.53/1.13  # Contextual simplify-reflections      : 2
% 4.53/1.13  # Paramodulations                      : 42693
% 4.53/1.13  # Factorizations                       : 0
% 4.53/1.13  # NegExts                              : 0
% 4.53/1.13  # Equation resolutions                 : 0
% 4.53/1.13  # Total rewrite steps                  : 25578
% 4.53/1.13  # Propositional unsat checks           : 0
% 4.53/1.13  #    Propositional check models        : 0
% 4.53/1.13  #    Propositional check unsatisfiable : 0
% 4.53/1.13  #    Propositional clauses             : 0
% 4.53/1.13  #    Propositional clauses after purity: 0
% 4.53/1.13  #    Propositional unsat core size     : 0
% 4.53/1.13  #    Propositional preprocessing time  : 0.000
% 4.53/1.13  #    Propositional encoding time       : 0.000
% 4.53/1.13  #    Propositional solver time         : 0.000
% 4.53/1.13  #    Success case prop preproc time    : 0.000
% 4.53/1.13  #    Success case prop encoding time   : 0.000
% 4.53/1.13  #    Success case prop solver time     : 0.000
% 4.53/1.13  # Current number of processed clauses  : 244
% 4.53/1.13  #    Positive orientable unit clauses  : 66
% 4.53/1.13  #    Positive unorientable unit clauses: 0
% 4.53/1.13  #    Negative unit clauses             : 0
% 4.53/1.13  #    Non-unit-clauses                  : 178
% 4.53/1.13  # Current number of unprocessed clauses: 17835
% 4.53/1.13  # ...number of literals in the above   : 63087
% 4.53/1.13  # Current number of archived formulas  : 0
% 4.53/1.13  # Current number of archived clauses   : 4493
% 4.53/1.13  # Clause-clause subsumption calls (NU) : 229807
% 4.53/1.13  # Rec. Clause-clause subsumption calls : 169649
% 4.53/1.13  # Non-unit clause-clause subsumptions  : 312
% 4.53/1.13  # Unit Clause-clause subsumption calls : 759376
% 4.53/1.13  # Rewrite failures with RHS unbound    : 0
% 4.53/1.13  # BW rewrite match attempts            : 29600
% 4.53/1.13  # BW rewrite match successes           : 3299
% 4.53/1.13  # Condensation attempts                : 0
% 4.53/1.13  # Condensation successes               : 0
% 4.53/1.13  # Termbank termtop insertions          : 456367
% 4.53/1.13  
% 4.53/1.13  # -------------------------------------------------
% 4.53/1.13  # User time                : 0.574 s
% 4.53/1.13  # System time              : 0.025 s
% 4.53/1.13  # Total time               : 0.599 s
% 4.53/1.13  # Maximum resident set size: 2680 pages
% 4.53/1.13  
% 4.53/1.13  # -------------------------------------------------
% 4.53/1.13  # User time                : 2.813 s
% 4.53/1.13  # System time              : 0.047 s
% 4.53/1.13  # Total time               : 2.860 s
% 4.53/1.13  # Maximum resident set size: 1860 pages
% 4.53/1.13  % E---3.1 exiting
% 4.53/1.13  % E---3.1 exiting
%------------------------------------------------------------------------------