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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---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 : n019.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 17:35:28 EDT 2023

% Result   : Theorem 6.26s 1.20s
% Output   : CNFRefutation 6.26s
% 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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.p',ruleD39) ).

fof(ruleD66,axiom,
    ! [X1,X2,X3] :
      ( para(X1,X2,X1,X3)
     => coll(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.TU0JQCHAnn/E---3.1_2591.p',ruleD66) ).

fof(ruleD2,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.TU0JQCHAnn/E---3.1_2591.p',ruleD2) ).

fof(ruleD1,axiom,
    ! [X1,X2,X3] :
      ( coll(X1,X2,X3)
     => coll(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.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.TU0JQCHAnn/E---3.1_2591.p',ruleD17) ).

fof(c_0_18,plain,
    ! [X439,X440,X441,X442,X443,X444] :
      ( ~ perp(X439,X440,X441,X442)
      | ~ perp(X441,X442,X443,X444)
      | para(X439,X440,X443,X444) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

fof(c_0_19,plain,
    ! [X172,X173,X174,X175] :
      ( ~ circle(X175,X172,X173,X174)
      | perp(esk34_4(X172,X173,X174,X175),X172,X172,X175) ),
    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,
    ! [X477,X478,X479,X480] :
      ( ~ perp(X477,X478,X479,X480)
      | perp(X479,X480,X477,X478) ),
    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(esk34_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,esk34_4(X3,X5,X6,X4),X3) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    ( perp(X1,X2,esk34_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(esk6_0,esk1_0,esk2_0)
    & coll(esk6_0,esk4_0,esk5_0)
    & coll(esk7_0,esk2_0,esk3_0)
    & coll(esk7_0,esk4_0,esk5_0)
    & coll(esk8_0,esk2_0,esk3_0)
    & coll(esk8_0,esk1_0,esk5_0)
    & coll(esk9_0,esk3_0,esk4_0)
    & coll(esk9_0,esk1_0,esk5_0)
    & coll(esk10_0,esk1_0,esk2_0)
    & coll(esk10_0,esk3_0,esk4_0)
    & circle(esk11_0,esk4_0,esk6_0,esk10_0)
    & circle(esk12_0,esk10_0,esk9_0,esk1_0)
    & circle(esk13_0,esk9_0,esk8_0,esk3_0)
    & circle(esk14_0,esk7_0,esk8_0,esk5_0)
    & circle(esk15_0,esk7_0,esk2_0,esk6_0)
    & circle(esk11_0,esk4_0,esk16_0,esk21_0)
    & circle(esk15_0,esk2_0,esk16_0,esk22_0)
    & circle(esk11_0,esk4_0,esk17_0,esk23_0)
    & circle(esk12_0,esk1_0,esk17_0,esk24_0)
    & circle(esk12_0,esk1_0,esk18_0,esk25_0)
    & circle(esk13_0,esk3_0,esk18_0,esk26_0)
    & circle(esk13_0,esk3_0,esk19_0,esk27_0)
    & circle(esk14_0,esk5_0,esk19_0,esk28_0)
    & circle(esk14_0,esk5_0,esk20_0,esk29_0)
    & circle(esk15_0,esk2_0,esk20_0,esk30_0)
    & ~ cyclic(esk17_0,esk18_0,esk19_0,esk20_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).

fof(c_0_28,plain,
    ! [X425,X426,X427,X428] :
      ( ~ para(X425,X426,X427,X428)
      | para(X425,X426,X428,X427) ),
    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(esk15_0,esk7_0,esk2_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_31,plain,
    ! [X347,X348,X349,X350,X351,X352,X353,X354] :
      ( ~ eqangle(X347,X348,X349,X350,X351,X352,X353,X354)
      | eqangle(X349,X350,X347,X348,X353,X354,X351,X352) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

fof(c_0_32,plain,
    ! [X389,X390,X391,X392,X393,X394] :
      ( ~ para(X389,X390,X391,X392)
      | eqangle(X389,X390,X393,X394,X391,X392,X393,X394) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).

fof(c_0_33,plain,
    ! [X429,X430,X431,X432] :
      ( ~ para(X429,X430,X431,X432)
      | para(X431,X432,X429,X430) ),
    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(esk7_0,esk15_0,esk7_0,esk15_0),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_36,plain,
    ! [X383,X384,X385,X386,X387,X388] :
      ( ~ eqangle(X383,X384,X387,X388,X385,X386,X387,X388)
      | para(X383,X384,X385,X386) ),
    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(esk7_0,esk15_0,esk15_0,esk7_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(esk15_0,esk7_0,esk7_0,esk15_0),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_44,plain,
    ! [X214,X215,X216] :
      ( ~ para(X214,X215,X214,X216)
      | coll(X214,X215,X216) ),
    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(esk15_0,esk7_0,esk15_0,esk7_0),
    inference(spm,[status(thm)],[c_0_34,c_0_43]) ).

fof(c_0_47,plain,
    ! [X188,X189,X190] :
      ( ~ coll(X188,X189,X190)
      | coll(X189,X188,X190) ),
    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,
    ! [X185,X186,X187] :
      ( ~ coll(X185,X186,X187)
      | coll(X185,X187,X186) ),
    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,
    ! [X109,X110,X111,X112] :
      ( ~ eqangle(X111,X109,X111,X110,X112,X109,X112,X110)
      | ~ coll(X111,X112,X110)
      | cyclic(X109,X110,X111,X112) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_54,plain,
    ! [X191,X192,X193,X194] :
      ( ~ coll(X191,X192,X193)
      | ~ coll(X191,X192,X194)
      | coll(X193,X194,X191) ),
    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,
    ! [X88,X89,X90,X91] :
      ( ~ cyclic(X88,X89,X90,X91)
      | cyclic(X88,X90,X89,X91) ),
    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,
    ! [X84,X85,X86,X87] :
      ( ~ cyclic(X84,X85,X86,X87)
      | cyclic(X84,X85,X87,X86) ),
    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,
    ! [X92,X93,X94,X95] :
      ( ~ cyclic(X92,X93,X94,X95)
      | cyclic(X93,X92,X94,X95) ),
    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,
    ! [X96,X97,X98,X99,X100] :
      ( ~ cyclic(X96,X97,X98,X99)
      | ~ cyclic(X96,X97,X98,X100)
      | cyclic(X97,X98,X99,X100) ),
    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(esk17_0,esk18_0,esk19_0,esk20_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
% 0.00/0.09  % Problem    : GEO640+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n019.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 06:18:21 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.TU0JQCHAnn/E---3.1_2591.p
% 6.26/1.20  # Version: 3.1pre001
% 6.26/1.20  # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.26/1.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.26/1.20  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.26/1.20  # Starting new_bool_3 with 300s (1) cores
% 6.26/1.20  # Starting new_bool_1 with 300s (1) cores
% 6.26/1.20  # Starting sh5l with 300s (1) cores
% 6.26/1.20  # sh5l with pid 2671 completed with status 0
% 6.26/1.20  # Result found by sh5l
% 6.26/1.20  # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.26/1.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.26/1.20  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.26/1.20  # Starting new_bool_3 with 300s (1) cores
% 6.26/1.20  # Starting new_bool_1 with 300s (1) cores
% 6.26/1.20  # Starting sh5l with 300s (1) cores
% 6.26/1.20  # SinE strategy is gf500_gu_R04_F100_L20000
% 6.26/1.20  # Search class: FGUSF-FFLM33-SFFFFFNN
% 6.26/1.20  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.26/1.20  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 6.26/1.20  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 6.26/1.20  # SAT001_MinMin_p005000_rr_RG with pid 2679 completed with status 0
% 6.26/1.20  # Result found by SAT001_MinMin_p005000_rr_RG
% 6.26/1.20  # Preprocessing class: FSLSSMSSSSSNFFN.
% 6.26/1.20  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.26/1.20  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 6.26/1.20  # Starting new_bool_3 with 300s (1) cores
% 6.26/1.20  # Starting new_bool_1 with 300s (1) cores
% 6.26/1.20  # Starting sh5l with 300s (1) cores
% 6.26/1.20  # SinE strategy is gf500_gu_R04_F100_L20000
% 6.26/1.20  # Search class: FGUSF-FFLM33-SFFFFFNN
% 6.26/1.20  # partial match(1): FGUSF-FFMM33-SFFFFFNN
% 6.26/1.20  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 6.26/1.20  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 6.26/1.20  # Preprocessing time       : 0.002 s
% 6.26/1.20  # Presaturation interreduction done
% 6.26/1.20  
% 6.26/1.20  # Proof found!
% 6.26/1.20  # SZS status Theorem
% 6.26/1.20  # SZS output start CNFRefutation
% See solution above
% 6.26/1.20  # Parsed axioms                        : 95
% 6.26/1.20  # Removed by relevancy pruning/SinE    : 0
% 6.26/1.20  # Initial clauses                      : 139
% 6.26/1.20  # Removed in clause preprocessing      : 0
% 6.26/1.20  # Initial clauses in saturation        : 139
% 6.26/1.20  # Processed clauses                    : 6038
% 6.26/1.20  # ...of these trivial                  : 992
% 6.26/1.20  # ...subsumed                          : 309
% 6.26/1.20  # ...remaining for further processing  : 4737
% 6.26/1.20  # Other redundant clauses eliminated   : 0
% 6.26/1.20  # Clauses deleted for lack of memory   : 0
% 6.26/1.20  # Backward-subsumed                    : 1
% 6.26/1.20  # Backward-rewritten                   : 4355
% 6.26/1.20  # Generated clauses                    : 42696
% 6.26/1.20  # ...of the previous two non-redundant : 23932
% 6.26/1.20  # ...aggressively subsumed             : 0
% 6.26/1.20  # Contextual simplify-reflections      : 2
% 6.26/1.20  # Paramodulations                      : 42696
% 6.26/1.20  # Factorizations                       : 0
% 6.26/1.20  # NegExts                              : 0
% 6.26/1.20  # Equation resolutions                 : 0
% 6.26/1.20  # Total rewrite steps                  : 25582
% 6.26/1.20  # Propositional unsat checks           : 0
% 6.26/1.20  #    Propositional check models        : 0
% 6.26/1.20  #    Propositional check unsatisfiable : 0
% 6.26/1.20  #    Propositional clauses             : 0
% 6.26/1.20  #    Propositional clauses after purity: 0
% 6.26/1.20  #    Propositional unsat core size     : 0
% 6.26/1.20  #    Propositional preprocessing time  : 0.000
% 6.26/1.20  #    Propositional encoding time       : 0.000
% 6.26/1.20  #    Propositional solver time         : 0.000
% 6.26/1.20  #    Success case prop preproc time    : 0.000
% 6.26/1.20  #    Success case prop encoding time   : 0.000
% 6.26/1.20  #    Success case prop solver time     : 0.000
% 6.26/1.20  # Current number of processed clauses  : 243
% 6.26/1.20  #    Positive orientable unit clauses  : 66
% 6.26/1.20  #    Positive unorientable unit clauses: 0
% 6.26/1.20  #    Negative unit clauses             : 0
% 6.26/1.20  #    Non-unit-clauses                  : 177
% 6.26/1.20  # Current number of unprocessed clauses: 17838
% 6.26/1.20  # ...number of literals in the above   : 63111
% 6.26/1.20  # Current number of archived formulas  : 0
% 6.26/1.20  # Current number of archived clauses   : 4494
% 6.26/1.20  # Clause-clause subsumption calls (NU) : 381686
% 6.26/1.20  # Rec. Clause-clause subsumption calls : 271228
% 6.26/1.20  # Non-unit clause-clause subsumptions  : 312
% 6.26/1.20  # Unit Clause-clause subsumption calls : 350441
% 6.26/1.20  # Rewrite failures with RHS unbound    : 0
% 6.26/1.20  # BW rewrite match attempts            : 29597
% 6.26/1.20  # BW rewrite match successes           : 3299
% 6.26/1.20  # Condensation attempts                : 0
% 6.26/1.20  # Condensation successes               : 0
% 6.26/1.20  # Termbank termtop insertions          : 456383
% 6.26/1.20  
% 6.26/1.20  # -------------------------------------------------
% 6.26/1.20  # User time                : 0.727 s
% 6.26/1.20  # System time              : 0.030 s
% 6.26/1.20  # Total time               : 0.757 s
% 6.26/1.20  # Maximum resident set size: 2560 pages
% 6.26/1.20  
% 6.26/1.20  # -------------------------------------------------
% 6.26/1.20  # User time                : 0.731 s
% 6.26/1.20  # System time              : 0.032 s
% 6.26/1.20  # Total time               : 0.762 s
% 6.26/1.20  # Maximum resident set size: 1860 pages
% 6.26/1.20  % E---3.1 exiting
%------------------------------------------------------------------------------