TSTP Solution File: GEO585+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n004.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 04:06:29 EDT 2022

% Result   : Theorem 0.25s 4.45s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  109 (  30 unt;   0 def)
%            Number of atoms       :  227 (   0 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  184 (  66   ~;  71   |;  27   &)
%                                         (   0 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  295 (  12 sgn 176   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416047,conjecture,
    ! [X1,X2,X3,X8,X4,X11,X12,X19] :
      ( ( circle(X8,X1,X2,X3)
        & circle(X8,X1,X4,X19)
        & perp(X1,X2,X4,X11)
        & perp(X1,X4,X2,X11)
        & perp(X2,X4,X1,X11)
        & perp(X1,X3,X4,X12)
        & perp(X1,X4,X3,X12)
        & perp(X3,X4,X1,X12) )
     => cyclic(X1,X11,X4,X12) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',exemplo6GDDFULL416047) ).

fof(ruleD42a,axiom,
    ! [X1,X2,X9,X10] :
      ( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
        & ~ coll(X9,X10,X1) )
     => cyclic(X1,X2,X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

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

fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

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

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

fof(ruleD41,axiom,
    ! [X1,X2,X9,X10] :
      ( cyclic(X1,X2,X9,X10)
     => eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

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

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

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

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

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

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

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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

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

fof(ruleD15,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X3,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(ruleD16,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X2,X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

fof(ruleD14,axiom,
    ! [X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
     => cyclic(X1,X2,X4,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

fof(c_0_19,negated_conjecture,
    ~ ! [X1,X2,X3,X8,X4,X11,X12,X19] :
        ( ( circle(X8,X1,X2,X3)
          & circle(X8,X1,X4,X19)
          & perp(X1,X2,X4,X11)
          & perp(X1,X4,X2,X11)
          & perp(X2,X4,X1,X11)
          & perp(X1,X3,X4,X12)
          & perp(X1,X4,X3,X12)
          & perp(X3,X4,X1,X12) )
       => cyclic(X1,X11,X4,X12) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL416047]) ).

fof(c_0_20,plain,
    ! [X11,X12,X13,X14] :
      ( ~ eqangle(X13,X11,X13,X12,X14,X11,X14,X12)
      | coll(X13,X14,X11)
      | cyclic(X11,X12,X13,X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ruleD42a])])]) ).

fof(c_0_21,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_22,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])]) ).

fof(c_0_23,negated_conjecture,
    ( circle(esk24_0,esk21_0,esk22_0,esk23_0)
    & circle(esk24_0,esk21_0,esk25_0,esk28_0)
    & perp(esk21_0,esk22_0,esk25_0,esk26_0)
    & perp(esk21_0,esk25_0,esk22_0,esk26_0)
    & perp(esk22_0,esk25_0,esk21_0,esk26_0)
    & perp(esk21_0,esk23_0,esk25_0,esk27_0)
    & perp(esk21_0,esk25_0,esk23_0,esk27_0)
    & perp(esk23_0,esk25_0,esk21_0,esk27_0)
    & ~ cyclic(esk21_0,esk26_0,esk25_0,esk27_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).

fof(c_0_24,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])]) ).

fof(c_0_25,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_26,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_27,plain,
    ( cyclic(X1,X2,X3,X4)
    | coll(X3,X4,X1)
    | ~ eqangle(X3,X1,X3,X2,X4,X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28,plain,
    ( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
    | ~ para(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_29,plain,
    ( para(X1,X2,X3,X4)
    | ~ perp(X5,X6,X3,X4)
    | ~ perp(X1,X2,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,negated_conjecture,
    perp(esk21_0,esk22_0,esk25_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,plain,
    ( perp(X1,X2,X3,X4)
    | ~ perp(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_32,plain,
    ( para(X1,X2,X3,X4)
    | ~ eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_33,plain,
    ( eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
    | ~ cyclic(X2,X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_34,plain,
    ( cyclic(X1,X2,X3,X3)
    | coll(X3,X3,X1)
    | ~ para(X3,X1,X3,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_35,negated_conjecture,
    ( para(X1,X2,esk25_0,esk26_0)
    | ~ perp(X1,X2,esk21_0,esk22_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    perp(esk25_0,esk26_0,esk21_0,esk22_0),
    inference(spm,[status(thm)],[c_0_31,c_0_30]) ).

fof(c_0_37,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X5,X6,X8,X7) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).

cnf(c_0_38,plain,
    ( para(X1,X2,X1,X2)
    | ~ cyclic(X2,X3,X1,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,negated_conjecture,
    ( cyclic(esk26_0,X1,esk25_0,esk25_0)
    | coll(esk25_0,esk25_0,esk26_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).

fof(c_0_40,plain,
    ! [X5,X6,X7,X8] :
      ( ~ para(X5,X6,X7,X8)
      | para(X7,X8,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).

cnf(c_0_41,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_42,negated_conjecture,
    ( para(esk25_0,esk26_0,esk25_0,esk26_0)
    | coll(esk25_0,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_43,plain,
    ( para(X1,X2,X3,X4)
    | ~ para(X3,X4,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_44,negated_conjecture,
    ( para(esk25_0,esk26_0,esk26_0,esk25_0)
    | coll(esk25_0,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

fof(c_0_45,plain,
    ! [X4,X5,X6] :
      ( ~ para(X4,X5,X4,X6)
      | coll(X4,X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).

cnf(c_0_46,negated_conjecture,
    ( para(esk26_0,esk25_0,esk25_0,esk26_0)
    | coll(esk25_0,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

fof(c_0_47,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_48,plain,
    ( coll(X1,X2,X3)
    | ~ para(X1,X2,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_49,negated_conjecture,
    ( para(esk26_0,esk25_0,esk26_0,esk25_0)
    | coll(esk25_0,esk25_0,esk26_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_46]) ).

fof(c_0_50,plain,
    ! [X4,X5,X6] :
      ( ~ coll(X4,X5,X6)
      | coll(X4,X6,X5) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).

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

cnf(c_0_52,negated_conjecture,
    ( coll(esk25_0,esk25_0,esk26_0)
    | coll(esk26_0,esk25_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

fof(c_0_54,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_55,negated_conjecture,
    coll(esk25_0,esk26_0,esk25_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).

cnf(c_0_56,negated_conjecture,
    perp(esk22_0,esk25_0,esk21_0,esk26_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_57,plain,
    ( coll(X1,X2,X3)
    | ~ coll(X3,X4,X2)
    | ~ coll(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_58,negated_conjecture,
    coll(esk25_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_53,c_0_55]) ).

cnf(c_0_59,negated_conjecture,
    ( para(X1,X2,esk21_0,esk26_0)
    | ~ perp(X1,X2,esk22_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_56]) ).

cnf(c_0_60,negated_conjecture,
    ( coll(X1,esk26_0,esk25_0)
    | ~ coll(esk25_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,negated_conjecture,
    ( coll(esk21_0,X1,esk26_0)
    | ~ perp(esk21_0,X1,esk22_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_48,c_0_59]) ).

cnf(c_0_62,negated_conjecture,
    coll(esk26_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_60,c_0_58]) ).

cnf(c_0_63,negated_conjecture,
    ( coll(X1,esk21_0,esk26_0)
    | ~ perp(esk21_0,X1,esk22_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_51,c_0_61]) ).

cnf(c_0_64,negated_conjecture,
    ( coll(X1,esk25_0,esk26_0)
    | ~ coll(esk26_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_62]) ).

cnf(c_0_65,negated_conjecture,
    ( coll(X1,esk26_0,esk21_0)
    | ~ perp(esk21_0,X1,esk22_0,esk25_0) ),
    inference(spm,[status(thm)],[c_0_53,c_0_63]) ).

cnf(c_0_66,negated_conjecture,
    perp(esk21_0,esk26_0,esk22_0,esk25_0),
    inference(spm,[status(thm)],[c_0_31,c_0_56]) ).

fof(c_0_67,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])]) ).

cnf(c_0_68,negated_conjecture,
    coll(esk21_0,esk25_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).

cnf(c_0_69,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_67]) ).

cnf(c_0_70,negated_conjecture,
    coll(esk25_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_51,c_0_68]) ).

cnf(c_0_71,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X1,X3,X1)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_28]) ).

cnf(c_0_72,negated_conjecture,
    coll(esk25_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_53,c_0_70]) ).

cnf(c_0_73,negated_conjecture,
    ( cyclic(esk26_0,X1,esk21_0,esk21_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_59]),c_0_66])]) ).

cnf(c_0_74,negated_conjecture,
    ( coll(X1,esk21_0,esk25_0)
    | ~ coll(esk25_0,esk26_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_72]) ).

cnf(c_0_75,negated_conjecture,
    coll(esk21_0,esk26_0,esk25_0),
    inference(spm,[status(thm)],[c_0_53,c_0_68]) ).

cnf(c_0_76,negated_conjecture,
    ( para(esk21_0,esk26_0,esk21_0,esk26_0)
    | ~ coll(esk21_0,esk21_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_73]) ).

cnf(c_0_77,negated_conjecture,
    coll(esk21_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_74,c_0_72]) ).

cnf(c_0_78,negated_conjecture,
    coll(esk26_0,esk25_0,esk26_0),
    inference(spm,[status(thm)],[c_0_53,c_0_62]) ).

cnf(c_0_79,negated_conjecture,
    coll(esk26_0,esk21_0,esk25_0),
    inference(spm,[status(thm)],[c_0_51,c_0_75]) ).

fof(c_0_80,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_81,negated_conjecture,
    para(esk21_0,esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_82,negated_conjecture,
    ( coll(X1,esk26_0,esk26_0)
    | ~ coll(esk26_0,esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_78]) ).

cnf(c_0_83,negated_conjecture,
    coll(esk26_0,esk25_0,esk21_0),
    inference(spm,[status(thm)],[c_0_53,c_0_79]) ).

cnf(c_0_84,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_80]) ).

cnf(c_0_85,negated_conjecture,
    para(esk21_0,esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_41,c_0_81]) ).

cnf(c_0_86,negated_conjecture,
    coll(esk21_0,esk26_0,esk26_0),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_87,plain,
    ( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
    | ~ para(X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_84,c_0_28]) ).

cnf(c_0_88,negated_conjecture,
    para(esk26_0,esk21_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_43,c_0_85]) ).

cnf(c_0_89,negated_conjecture,
    coll(esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_51,c_0_86]) ).

fof(c_0_90,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_91,plain,
    ( cyclic(X1,X2,X3,X3)
    | ~ para(X3,X2,X3,X2)
    | ~ coll(X3,X3,X2) ),
    inference(spm,[status(thm)],[c_0_69,c_0_87]) ).

cnf(c_0_92,negated_conjecture,
    para(esk26_0,esk21_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_41,c_0_88]) ).

cnf(c_0_93,negated_conjecture,
    coll(esk26_0,esk26_0,esk21_0),
    inference(spm,[status(thm)],[c_0_53,c_0_89]) ).

fof(c_0_94,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_95,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    cyclic(X1,esk21_0,esk26_0,esk26_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).

cnf(c_0_97,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X2,X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_98,negated_conjecture,
    cyclic(X1,esk26_0,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

fof(c_0_99,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_100,negated_conjecture,
    cyclic(esk26_0,X1,esk21_0,esk26_0),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

fof(c_0_101,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_102,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X1,X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_103,negated_conjecture,
    cyclic(esk26_0,esk21_0,X1,esk26_0),
    inference(spm,[status(thm)],[c_0_95,c_0_100]) ).

cnf(c_0_104,plain,
    ( cyclic(X1,X2,X3,X4)
    | ~ cyclic(X5,X1,X2,X4)
    | ~ cyclic(X5,X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_105,negated_conjecture,
    cyclic(esk26_0,esk21_0,esk26_0,X1),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_106,negated_conjecture,
    ~ cyclic(esk21_0,esk26_0,esk25_0,esk27_0),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_107,negated_conjecture,
    cyclic(esk21_0,esk26_0,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_105])]) ).

cnf(c_0_108,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 17 21:12:54 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.25/4.45  # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 0.25/4.45  # Preprocessing time       : 0.024 s
% 0.25/4.45  
% 0.25/4.45  # Proof found!
% 0.25/4.45  # SZS status Theorem
% 0.25/4.45  # SZS output start CNFRefutation
% See solution above
% 0.25/4.45  # Proof object total steps             : 109
% 0.25/4.45  # Proof object clause steps            : 70
% 0.25/4.45  # Proof object formula steps           : 39
% 0.25/4.45  # Proof object conjectures             : 50
% 0.25/4.45  # Proof object clause conjectures      : 47
% 0.25/4.45  # Proof object formula conjectures     : 3
% 0.25/4.45  # Proof object initial clauses used    : 21
% 0.25/4.45  # Proof object initial formulas used   : 19
% 0.25/4.45  # Proof object generating inferences   : 48
% 0.25/4.45  # Proof object simplifying inferences  : 13
% 0.25/4.45  # Training examples: 0 positive, 0 negative
% 0.25/4.45  # Parsed axioms                        : 95
% 0.25/4.45  # Removed by relevancy pruning/SinE    : 0
% 0.25/4.45  # Initial clauses                      : 122
% 0.25/4.45  # Removed in clause preprocessing      : 0
% 0.25/4.45  # Initial clauses in saturation        : 122
% 0.25/4.45  # Processed clauses                    : 18507
% 0.25/4.45  # ...of these trivial                  : 2708
% 0.25/4.45  # ...subsumed                          : 4563
% 0.25/4.45  # ...remaining for further processing  : 11236
% 0.25/4.45  # Other redundant clauses eliminated   : 0
% 0.25/4.45  # Clauses deleted for lack of memory   : 70027
% 0.25/4.45  # Backward-subsumed                    : 607
% 0.25/4.45  # Backward-rewritten                   : 2088
% 0.25/4.45  # Generated clauses                    : 240445
% 0.25/4.45  # ...of the previous two non-trivial   : 183796
% 0.25/4.45  # Contextual simplify-reflections      : 265
% 0.25/4.45  # Paramodulations                      : 240445
% 0.25/4.45  # Factorizations                       : 0
% 0.25/4.45  # Equation resolutions                 : 0
% 0.25/4.45  # Current number of processed clauses  : 8541
% 0.25/4.45  #    Positive orientable unit clauses  : 4274
% 0.25/4.45  #    Positive unorientable unit clauses: 0
% 0.25/4.45  #    Negative unit clauses             : 0
% 0.25/4.45  #    Non-unit-clauses                  : 4267
% 0.25/4.45  # Current number of unprocessed clauses: 72010
% 0.25/4.45  # ...number of literals in the above   : 214657
% 0.25/4.45  # Current number of archived formulas  : 0
% 0.25/4.45  # Current number of archived clauses   : 2695
% 0.25/4.45  # Clause-clause subsumption calls (NU) : 4241268
% 0.25/4.45  # Rec. Clause-clause subsumption calls : 2517013
% 0.25/4.45  # Non-unit clause-clause subsumptions  : 4886
% 0.25/4.45  # Unit Clause-clause subsumption calls : 1576849
% 0.25/4.45  # Rewrite failures with RHS unbound    : 0
% 0.25/4.45  # BW rewrite match attempts            : 67060
% 0.25/4.45  # BW rewrite match successes           : 1403
% 0.25/4.45  # Condensation attempts                : 0
% 0.25/4.45  # Condensation successes               : 0
% 0.25/4.45  # Termbank termtop insertions          : 3647603
% 0.25/4.45  
% 0.25/4.45  # -------------------------------------------------
% 0.25/4.45  # User time                : 3.445 s
% 0.25/4.45  # System time              : 0.098 s
% 0.25/4.45  # Total time               : 3.543 s
% 0.25/4.45  # Maximum resident set size: 134864 pages
% 0.25/23.41  eprover: CPU time limit exceeded, terminating
% 0.25/23.42  eprover: CPU time limit exceeded, terminating
% 0.25/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.48  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.49  eprover: No such file or directory
% 0.25/23.49  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------