TSTP Solution File: GEO555+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sat Jul 16 04:06:20 EDT 2022

% Result   : Theorem 0.18s 5.37s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  104 (  44 unt;   0 def)
%            Number of atoms       :  217 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  169 (  56   ~;  53   |;  44   &)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  251 (  12 sgn 150   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012015,conjecture,
    ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20] :
      ( ( perp(X4,X1,X2,X3)
        & coll(X4,X2,X3)
        & perp(X5,X2,X1,X3)
        & coll(X5,X1,X3)
        & perp(X6,X3,X1,X2)
        & coll(X6,X1,X2)
        & perp(X13,X6,X2,X3)
        & coll(X13,X2,X3)
        & perp(X14,X6,X1,X3)
        & coll(X14,X1,X3)
        & perp(X19,X5,X1,X2)
        & coll(X19,X1,X2)
        & perp(X20,X4,X1,X2)
        & coll(X20,X1,X2) )
     => cyclic(X14,X19,X20,X13) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULL012015) ).

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

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

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

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

fof(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(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(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(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(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(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/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20] :
        ( ( perp(X4,X1,X2,X3)
          & coll(X4,X2,X3)
          & perp(X5,X2,X1,X3)
          & coll(X5,X1,X3)
          & perp(X6,X3,X1,X2)
          & coll(X6,X1,X2)
          & perp(X13,X6,X2,X3)
          & coll(X13,X2,X3)
          & perp(X14,X6,X1,X3)
          & coll(X14,X1,X3)
          & perp(X19,X5,X1,X2)
          & coll(X19,X1,X2)
          & perp(X20,X4,X1,X2)
          & coll(X20,X1,X2) )
       => cyclic(X14,X19,X20,X13) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012015]) ).

fof(c_0_16,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

fof(c_0_17,negated_conjecture,
    ( perp(esk24_0,esk21_0,esk22_0,esk23_0)
    & coll(esk24_0,esk22_0,esk23_0)
    & perp(esk25_0,esk22_0,esk21_0,esk23_0)
    & coll(esk25_0,esk21_0,esk23_0)
    & perp(esk26_0,esk23_0,esk21_0,esk22_0)
    & coll(esk26_0,esk21_0,esk22_0)
    & perp(esk27_0,esk26_0,esk22_0,esk23_0)
    & coll(esk27_0,esk22_0,esk23_0)
    & perp(esk28_0,esk26_0,esk21_0,esk23_0)
    & coll(esk28_0,esk21_0,esk23_0)
    & perp(esk29_0,esk25_0,esk21_0,esk22_0)
    & coll(esk29_0,esk21_0,esk22_0)
    & perp(esk30_0,esk24_0,esk21_0,esk22_0)
    & coll(esk30_0,esk21_0,esk22_0)
    & ~ cyclic(esk28_0,esk29_0,esk30_0,esk27_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).

fof(c_0_18,plain,
    ! [X5,X6,X7,X8] :
      ( ~ coll(X5,X6,X7)
      | ~ coll(X5,X6,X8)
      | coll(X7,X8,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).

cnf(c_0_19,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    coll(esk27_0,esk22_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_21,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X5,X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).

cnf(c_0_22,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    coll(esk27_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( coll(X1,esk22_0,esk27_0)
    | ~ coll(esk27_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    coll(esk30_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_27,negated_conjecture,
    coll(esk22_0,esk27_0,esk23_0),
    inference(spm,[status(thm)],[c_0_24,c_0_20]) ).

cnf(c_0_28,negated_conjecture,
    coll(esk22_0,esk22_0,esk27_0),
    inference(spm,[status(thm)],[c_0_25,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ( coll(X1,esk22_0,esk30_0)
    | ~ coll(esk30_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    ( coll(X1,esk23_0,esk22_0)
    | ~ coll(esk22_0,esk27_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    coll(esk22_0,esk27_0,esk22_0),
    inference(spm,[status(thm)],[c_0_19,c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    coll(esk22_0,esk22_0,esk30_0),
    inference(spm,[status(thm)],[c_0_29,c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    coll(esk22_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    ( coll(X1,esk30_0,esk22_0)
    | ~ coll(esk22_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    coll(esk22_0,esk22_0,esk23_0),
    inference(spm,[status(thm)],[c_0_19,c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    coll(esk23_0,esk30_0,esk22_0),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,negated_conjecture,
    coll(esk30_0,esk22_0,esk21_0),
    inference(spm,[status(thm)],[c_0_19,c_0_26]) ).

cnf(c_0_38,negated_conjecture,
    coll(esk23_0,esk22_0,esk30_0),
    inference(spm,[status(thm)],[c_0_19,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    coll(esk28_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_40,negated_conjecture,
    coll(esk22_0,esk30_0,esk21_0),
    inference(spm,[status(thm)],[c_0_24,c_0_37]) ).

cnf(c_0_41,negated_conjecture,
    coll(esk22_0,esk23_0,esk30_0),
    inference(spm,[status(thm)],[c_0_24,c_0_38]) ).

cnf(c_0_42,negated_conjecture,
    coll(esk21_0,esk28_0,esk23_0),
    inference(spm,[status(thm)],[c_0_24,c_0_39]) ).

cnf(c_0_43,negated_conjecture,
    ( coll(X1,esk21_0,esk22_0)
    | ~ coll(esk22_0,esk30_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    coll(esk22_0,esk30_0,esk23_0),
    inference(spm,[status(thm)],[c_0_19,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    coll(esk21_0,esk23_0,esk28_0),
    inference(spm,[status(thm)],[c_0_19,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    coll(esk23_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,negated_conjecture,
    coll(esk26_0,esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_48,negated_conjecture,
    ( coll(X1,esk28_0,esk21_0)
    | ~ coll(esk21_0,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    coll(esk21_0,esk23_0,esk22_0),
    inference(spm,[status(thm)],[c_0_24,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    coll(esk21_0,esk26_0,esk22_0),
    inference(spm,[status(thm)],[c_0_24,c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    coll(esk22_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_52,plain,
    ! [X5,X6,X7,X8] :
      ( ~ perp(X5,X6,X7,X8)
      | perp(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).

cnf(c_0_53,negated_conjecture,
    coll(esk21_0,esk22_0,esk26_0),
    inference(spm,[status(thm)],[c_0_19,c_0_50]) ).

cnf(c_0_54,negated_conjecture,
    coll(esk22_0,esk21_0,esk28_0),
    inference(spm,[status(thm)],[c_0_19,c_0_51]) ).

fof(c_0_55,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | ~ coll(X13,X14,X12)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).

fof(c_0_56,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ para(X11,X12,X13,X14)
      | eqangle(X11,X12,X15,X16,X13,X14,X15,X16) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])])]) ).

fof(c_0_57,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ perp(X7,X8,X9,X10)
      | ~ perp(X9,X10,X11,X12)
      | para(X7,X8,X11,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).

cnf(c_0_58,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_59,negated_conjecture,
    perp(esk28_0,esk26_0,esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_60,negated_conjecture,
    coll(esk28_0,esk28_0,esk21_0),
    inference(spm,[status(thm)],[c_0_48,c_0_45]) ).

cnf(c_0_61,negated_conjecture,
    ( coll(X1,esk26_0,esk21_0)
    | ~ coll(esk21_0,esk22_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_53]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk21_0,esk22_0,esk28_0),
    inference(spm,[status(thm)],[c_0_24,c_0_54]) ).

fof(c_0_63,plain,
    ! [X11,X12,X13,X14,X15,X16] :
      ( ~ eqangle(X11,X12,X15,X16,X13,X14,X15,X16)
      | para(X11,X12,X13,X14) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])])]) ).

fof(c_0_64,plain,
    ! [X11,X12,X13,X14] :
      ( ~ cyclic(X11,X12,X13,X14)
      | eqangle(X13,X11,X13,X12,X14,X11,X14,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).

cnf(c_0_65,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ coll(X3,X4,X2)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_66,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_67,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_68,negated_conjecture,
    perp(esk21_0,esk23_0,esk28_0,esk26_0),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_69,negated_conjecture,
    coll(esk28_0,esk21_0,esk28_0),
    inference(spm,[status(thm)],[c_0_19,c_0_60]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk28_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

fof(c_0_71,plain,
    ! [X13,X14,X15,X16,X17,X18,X19,X20] :
      ( ~ eqangle(X13,X14,X15,X16,X17,X18,X19,X20)
      | eqangle(X15,X16,X13,X14,X19,X20,X17,X18) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).

cnf(c_0_72,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_73,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_74,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_75,negated_conjecture,
    ( para(X1,X2,esk28_0,esk26_0)
    | ~ perp(X1,X2,esk21_0,esk23_0) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_76,negated_conjecture,
    ( coll(X1,esk28_0,esk28_0)
    | ~ coll(esk28_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_69]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk28_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_19,c_0_70]) ).

cnf(c_0_78,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_71]) ).

cnf(c_0_79,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_80,negated_conjecture,
    ( cyclic(esk26_0,X1,esk28_0,esk28_0)
    | ~ coll(esk28_0,esk28_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_59])]) ).

cnf(c_0_81,negated_conjecture,
    coll(esk26_0,esk28_0,esk28_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_78,c_0_66]) ).

cnf(c_0_83,negated_conjecture,
    ( para(esk28_0,esk26_0,esk28_0,esk26_0)
    | ~ coll(esk28_0,esk28_0,X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,negated_conjecture,
    coll(esk28_0,esk26_0,esk28_0),
    inference(spm,[status(thm)],[c_0_24,c_0_81]) ).

fof(c_0_85,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X6,X5,X7,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).

cnf(c_0_86,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X2,X3,X2)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_82]) ).

cnf(c_0_87,negated_conjecture,
    para(esk28_0,esk26_0,esk28_0,esk26_0),
    inference(spm,[status(thm)],[c_0_83,c_0_60]) ).

cnf(c_0_88,negated_conjecture,
    coll(esk28_0,esk28_0,esk26_0),
    inference(spm,[status(thm)],[c_0_19,c_0_84]) ).

fof(c_0_89,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X7,X6,X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).

cnf(c_0_90,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_91,negated_conjecture,
    cyclic(X1,esk26_0,esk28_0,esk28_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).

fof(c_0_92,plain,
    ! [X5,X6,X7,X8] :
      ( ~ cyclic(X5,X6,X7,X8)
      | cyclic(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).

cnf(c_0_93,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_94,negated_conjecture,
    cyclic(esk26_0,X1,esk28_0,esk28_0),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

fof(c_0_95,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ cyclic(X6,X7,X8,X9)
      | ~ cyclic(X6,X7,X8,X10)
      | cyclic(X7,X8,X9,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).

cnf(c_0_96,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_97,negated_conjecture,
    cyclic(esk26_0,esk28_0,X1,esk28_0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_98,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_99,negated_conjecture,
    cyclic(esk26_0,esk28_0,esk28_0,X1),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_100,negated_conjecture,
    cyclic(esk28_0,esk28_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_99])]) ).

cnf(c_0_101,negated_conjecture,
    ~ cyclic(esk28_0,esk29_0,esk30_0,esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_102,negated_conjecture,
    cyclic(esk28_0,X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_100]),c_0_100])]) ).

cnf(c_0_103,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% 0.00/0.10  % Command  : run_ET %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sat Jun 18 15:32:32 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.18/5.37  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.18/5.37  # Preprocessing time       : 0.018 s
% 0.18/5.37  
% 0.18/5.37  # Proof found!
% 0.18/5.37  # SZS status Theorem
% 0.18/5.37  # SZS output start CNFRefutation
% See solution above
% 0.18/5.37  # Proof object total steps             : 104
% 0.18/5.37  # Proof object clause steps            : 73
% 0.18/5.37  # Proof object formula steps           : 31
% 0.18/5.37  # Proof object conjectures             : 58
% 0.18/5.37  # Proof object clause conjectures      : 55
% 0.18/5.37  # Proof object formula conjectures     : 3
% 0.18/5.37  # Proof object initial clauses used    : 20
% 0.18/5.37  # Proof object initial formulas used   : 15
% 0.18/5.37  # Proof object generating inferences   : 52
% 0.18/5.37  # Proof object simplifying inferences  : 10
% 0.18/5.37  # Training examples: 0 positive, 0 negative
% 0.18/5.37  # Parsed axioms                        : 95
% 0.18/5.37  # Removed by relevancy pruning/SinE    : 0
% 0.18/5.37  # Initial clauses                      : 128
% 0.18/5.37  # Removed in clause preprocessing      : 0
% 0.18/5.37  # Initial clauses in saturation        : 128
% 0.18/5.37  # Processed clauses                    : 19761
% 0.18/5.37  # ...of these trivial                  : 3085
% 0.18/5.37  # ...subsumed                          : 4128
% 0.18/5.37  # ...remaining for further processing  : 12548
% 0.18/5.37  # Other redundant clauses eliminated   : 0
% 0.18/5.37  # Clauses deleted for lack of memory   : 71736
% 0.18/5.37  # Backward-subsumed                    : 739
% 0.18/5.37  # Backward-rewritten                   : 2056
% 0.18/5.37  # Generated clauses                    : 268072
% 0.18/5.37  # ...of the previous two non-trivial   : 220617
% 0.18/5.37  # Contextual simplify-reflections      : 267
% 0.18/5.37  # Paramodulations                      : 268072
% 0.18/5.37  # Factorizations                       : 0
% 0.18/5.37  # Equation resolutions                 : 0
% 0.18/5.37  # Current number of processed clauses  : 9753
% 0.18/5.37  #    Positive orientable unit clauses  : 3888
% 0.18/5.37  #    Positive unorientable unit clauses: 0
% 0.18/5.37  #    Negative unit clauses             : 0
% 0.18/5.37  #    Non-unit-clauses                  : 5865
% 0.18/5.37  # Current number of unprocessed clauses: 96976
% 0.18/5.37  # ...number of literals in the above   : 311576
% 0.18/5.37  # Current number of archived formulas  : 0
% 0.18/5.37  # Current number of archived clauses   : 2795
% 0.18/5.37  # Clause-clause subsumption calls (NU) : 4437792
% 0.18/5.37  # Rec. Clause-clause subsumption calls : 2338855
% 0.18/5.37  # Non-unit clause-clause subsumptions  : 4419
% 0.18/5.37  # Unit Clause-clause subsumption calls : 2215955
% 0.18/5.37  # Rewrite failures with RHS unbound    : 0
% 0.18/5.37  # BW rewrite match attempts            : 88404
% 0.18/5.37  # BW rewrite match successes           : 1978
% 0.18/5.37  # Condensation attempts                : 0
% 0.18/5.37  # Condensation successes               : 0
% 0.18/5.37  # Termbank termtop insertions          : 3976705
% 0.18/5.37  
% 0.18/5.37  # -------------------------------------------------
% 0.18/5.37  # User time                : 4.163 s
% 0.18/5.37  # System time              : 0.092 s
% 0.18/5.37  # Total time               : 4.255 s
% 0.18/5.37  # Maximum resident set size: 135524 pages
% 0.18/23.35  eprover: CPU time limit exceeded, terminating
% 0.18/23.37  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.37  eprover: No such file or directory
% 0.18/23.38  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.38  eprover: No such file or directory
% 0.18/23.38  eprover: CPU time limit exceeded, terminating
% 0.18/23.39  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.39  eprover: No such file or directory
% 0.18/23.39  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.39  eprover: No such file or directory
% 0.18/23.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.40  eprover: No such file or directory
% 0.18/23.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.40  eprover: No such file or directory
% 0.18/23.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.40  eprover: No such file or directory
% 0.18/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.41  eprover: No such file or directory
% 0.18/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.41  eprover: No such file or directory
% 0.18/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.41  eprover: No such file or directory
% 0.18/23.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.41  eprover: No such file or directory
% 0.18/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.42  eprover: No such file or directory
% 0.18/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.42  eprover: No such file or directory
% 0.18/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.42  eprover: No such file or directory
% 0.18/23.42  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.42  eprover: No such file or directory
% 0.18/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.43  eprover: No such file or directory
% 0.18/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.43  eprover: No such file or directory
% 0.18/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.43  eprover: No such file or directory
% 0.18/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.44  eprover: No such file or directory
% 0.18/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.44  eprover: No such file or directory
% 0.18/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.44  eprover: No such file or directory
% 0.18/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.18/23.45  eprover: No such file or directory
%------------------------------------------------------------------------------