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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV487+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 : Wed Jul 20 17:47:45 EDT 2022

% Result   : Theorem 9.68s 2.49s
% Output   : CNFRefutation 9.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   48 (  18 unt;   7 nHn;  47 RR)
%            Number of literals    :  106 (  20 equ;  55 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   53 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
    ( X1 = X2
    | int_less(X1,X2)
    | ~ int_leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_3) ).

cnf(i_0_19,negated_conjecture,
    int_leq(esk2_0,n),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_19) ).

cnf(i_0_4,plain,
    ( int_less(X1,X2)
    | ~ int_less(X3,X2)
    | ~ int_less(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_4) ).

cnf(i_0_20,negated_conjecture,
    int_less(esk3_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_20) ).

cnf(i_0_14,plain,
    ( int_less(int_zero,X1)
    | ~ int_leq(int_one,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_14) ).

cnf(i_0_21,negated_conjecture,
    int_leq(int_one,esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_21) ).

cnf(i_0_24,plain,
    ( a(plus(X1,X2),X1) = real_zero
    | X3 != plus(X4,X2)
    | ~ int_leq(X1,X4)
    | ~ epred1_2(X3,X4)
    | ~ int_leq(int_one,X1)
    | ~ int_less(int_zero,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_24) ).

cnf(i_0_13,plain,
    ( plus(X1,esk1_2(X1,X2)) = X2
    | ~ int_less(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_13) ).

cnf(i_0_12,plain,
    ( int_less(int_zero,esk1_2(X1,X2))
    | ~ int_less(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_12) ).

cnf(i_0_2,plain,
    ( int_leq(X1,X2)
    | ~ int_less(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_2) ).

cnf(i_0_18,negated_conjecture,
    a(esk2_0,esk3_0) != real_zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_18) ).

cnf(i_0_1,plain,
    ( int_leq(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_1) ).

cnf(i_0_17,hypothesis,
    ( epred1_2(X1,X2)
    | ~ int_leq(X2,n)
    | ~ int_leq(X1,n)
    | ~ int_leq(int_one,X2)
    | ~ int_leq(int_one,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_17) ).

cnf(i_0_15,plain,
    ( int_leq(int_one,X1)
    | ~ int_less(int_zero,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-chm5kzjv/lgb.p',i_0_15) ).

cnf(c_0_39,plain,
    ( X1 = X2
    | int_less(X1,X2)
    | ~ int_leq(X1,X2) ),
    i_0_3 ).

cnf(c_0_40,negated_conjecture,
    int_leq(esk2_0,n),
    i_0_19 ).

cnf(c_0_41,plain,
    ( int_less(X1,X2)
    | ~ int_less(X3,X2)
    | ~ int_less(X1,X3) ),
    i_0_4 ).

cnf(c_0_42,negated_conjecture,
    ( n = esk2_0
    | int_less(esk2_0,n) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_43,plain,
    ( n = esk2_0
    | int_less(X1,n)
    | ~ int_less(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_44,negated_conjecture,
    int_less(esk3_0,esk2_0),
    i_0_20 ).

cnf(c_0_45,plain,
    ( int_less(int_zero,X1)
    | ~ int_leq(int_one,X1) ),
    i_0_14 ).

cnf(c_0_46,negated_conjecture,
    int_leq(int_one,esk3_0),
    i_0_21 ).

cnf(c_0_47,plain,
    ( a(plus(X1,X2),X1) = real_zero
    | X3 != plus(X4,X2)
    | ~ int_leq(X1,X4)
    | ~ epred1_2(X3,X4)
    | ~ int_leq(int_one,X1)
    | ~ int_less(int_zero,X2) ),
    i_0_24 ).

cnf(c_0_48,plain,
    ( plus(X1,esk1_2(X1,X2)) = X2
    | ~ int_less(X1,X2) ),
    i_0_13 ).

cnf(c_0_49,plain,
    ( int_less(int_zero,esk1_2(X1,X2))
    | ~ int_less(X1,X2) ),
    i_0_12 ).

cnf(c_0_50,plain,
    ( int_leq(X1,X2)
    | ~ int_less(X1,X2) ),
    i_0_2 ).

cnf(c_0_51,negated_conjecture,
    ( n = esk2_0
    | int_less(esk3_0,n) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_52,negated_conjecture,
    ( int_less(X1,esk2_0)
    | ~ int_less(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_41,c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    int_less(int_zero,esk3_0),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_54,plain,
    ( a(plus(X1,X2),X1) = real_zero
    | ~ epred1_2(plus(X3,X2),X3)
    | ~ int_leq(int_one,X1)
    | ~ int_leq(X1,X3)
    | ~ int_less(int_zero,X2) ),
    inference(er,[status(thm)],[c_0_47]) ).

cnf(c_0_55,negated_conjecture,
    plus(esk3_0,esk1_2(esk3_0,esk2_0)) = esk2_0,
    inference(spm,[status(thm)],[c_0_48,c_0_44]) ).

cnf(c_0_56,negated_conjecture,
    int_less(int_zero,esk1_2(esk3_0,esk2_0)),
    inference(spm,[status(thm)],[c_0_49,c_0_44]) ).

cnf(c_0_57,negated_conjecture,
    a(esk2_0,esk3_0) != real_zero,
    i_0_18 ).

cnf(c_0_58,plain,
    ( int_leq(X1,X2)
    | X1 != X2 ),
    i_0_1 ).

cnf(c_0_59,hypothesis,
    ( epred1_2(X1,X2)
    | ~ int_leq(X2,n)
    | ~ int_leq(X1,n)
    | ~ int_leq(int_one,X2)
    | ~ int_leq(int_one,X1) ),
    i_0_17 ).

cnf(c_0_60,plain,
    ( n = esk2_0
    | int_leq(esk3_0,n) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_61,plain,
    ( int_leq(int_one,X1)
    | ~ int_less(int_zero,X1) ),
    i_0_15 ).

cnf(c_0_62,negated_conjecture,
    int_less(int_zero,esk2_0),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_63,plain,
    ( ~ epred1_2(plus(X1,esk1_2(esk3_0,esk2_0)),X1)
    | ~ int_leq(esk3_0,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_46]),c_0_56])]),c_0_57]) ).

cnf(c_0_64,plain,
    int_leq(X1,X1),
    inference(er,[status(thm)],[c_0_58]) ).

cnf(c_0_65,hypothesis,
    ( n = esk2_0
    | epred1_2(X1,esk3_0)
    | ~ int_leq(X1,n)
    | ~ int_leq(int_one,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_46])]) ).

cnf(c_0_66,plain,
    int_leq(int_one,esk2_0),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_67,plain,
    ~ epred1_2(esk2_0,esk3_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_55]) ).

cnf(c_0_68,negated_conjecture,
    n = esk2_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_40]),c_0_66])]),c_0_67]) ).

cnf(c_0_69,hypothesis,
    ( epred1_2(X1,X2)
    | ~ int_leq(X2,esk2_0)
    | ~ int_leq(X1,esk2_0)
    | ~ int_leq(int_one,X2)
    | ~ int_leq(int_one,X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_68]),c_0_68]) ).

cnf(c_0_70,negated_conjecture,
    int_leq(esk3_0,esk2_0),
    inference(spm,[status(thm)],[c_0_50,c_0_44]) ).

cnf(c_0_71,negated_conjecture,
    ( epred1_2(X1,esk3_0)
    | ~ int_leq(X1,esk2_0)
    | ~ int_leq(int_one,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_46])]) ).

cnf(c_0_72,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_64]),c_0_66])]),c_0_67]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV487+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 01:46:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 9.68/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.68/2.49  # No SInE strategy applied
% 9.68/2.49  # Trying AutoSched0 for 150 seconds
% 9.68/2.49  # AutoSched0-Mode selected heuristic G_E___208_B00_00_F1_SE_CS_SP_PS_S00EN
% 9.68/2.49  # and selection function PSelectSmallestOrientable.
% 9.68/2.49  #
% 9.68/2.49  # Preprocessing time       : 0.023 s
% 9.68/2.49  # Presaturation interreduction done
% 9.68/2.49  
% 9.68/2.49  # Proof found!
% 9.68/2.49  # SZS status Theorem
% 9.68/2.49  # SZS output start CNFRefutation
% See solution above
% 9.68/2.49  # Training examples: 0 positive, 0 negative
% 9.68/2.49  
% 9.68/2.49  # -------------------------------------------------
% 9.68/2.49  # User time                : 0.118 s
% 9.68/2.49  # System time              : 0.012 s
% 9.68/2.49  # Total time               : 0.131 s
% 9.68/2.49  # Maximum resident set size: 7124 pages
% 9.68/2.49  
%------------------------------------------------------------------------------