TSTP Solution File: KRS073+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 : Sun Jul 17 02:55:31 EDT 2022

% Result   : Unsatisfiable 6.58s 2.21s
% Output   : CNFRefutation 6.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   28 (   4 unt;   0 nHn;  28 RR)
%            Number of literals    :   65 (   5 equ;  40 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   44 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_43,plain,
    ( rf(X1,X2)
    | ~ rs(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_43) ).

cnf(i_0_29,plain,
    ( rs(X1,esk2_2(X2,X1))
    | ~ cUnsatisfiable(X2)
    | ~ rinvF(esk1_1(X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_29) ).

cnf(i_0_32,plain,
    ( X1 = X2
    | ~ rf(X3,X2)
    | ~ rf(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_32) ).

cnf(i_0_31,plain,
    ( rf(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_31) ).

cnf(i_0_34,plain,
    ( rinvF(X1,X2)
    | ~ rf(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_34) ).

cnf(i_0_30,plain,
    ( cp(X1)
    | ~ cUnsatisfiable(X2)
    | ~ rinvS(esk1_1(X2),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_30) ).

cnf(i_0_38,plain,
    ( rinvS(X1,X2)
    | ~ rs(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_38) ).

cnf(i_0_27,plain,
    ( ~ cUnsatisfiable(X1)
    | ~ cp(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_27) ).

cnf(i_0_41,plain,
    cUnsatisfiable(i2003_11_14_17_18_54369),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-1fopn_vr/input.p',i_0_41) ).

cnf(c_0_53,plain,
    ( rf(X1,X2)
    | ~ rs(X1,X2) ),
    i_0_43 ).

cnf(c_0_54,plain,
    ( rs(X1,esk2_2(X2,X1))
    | ~ cUnsatisfiable(X2)
    | ~ rinvF(esk1_1(X2),X1) ),
    i_0_29 ).

cnf(c_0_55,plain,
    ( X1 = X2
    | ~ rf(X3,X2)
    | ~ rf(X3,X1) ),
    i_0_32 ).

cnf(c_0_56,plain,
    ( rf(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_31 ).

cnf(c_0_57,plain,
    ( rf(X1,esk2_2(X2,X1))
    | ~ rinvF(esk1_1(X2),X1)
    | ~ cUnsatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_58,plain,
    ( rinvF(X1,X2)
    | ~ rf(X2,X1) ),
    i_0_34 ).

cnf(c_0_59,plain,
    ( X1 = esk1_1(X2)
    | ~ rf(X2,X1)
    | ~ cUnsatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_60,plain,
    ( rf(X1,esk2_2(X2,X1))
    | ~ rf(X1,esk1_1(X2))
    | ~ cUnsatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_61,plain,
    ( esk2_2(X1,X2) = esk1_1(X2)
    | ~ rf(X2,esk1_1(X1))
    | ~ cUnsatisfiable(X2)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_62,plain,
    ( esk2_2(X1,X1) = esk1_1(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_56]) ).

cnf(c_0_63,plain,
    ( cp(X1)
    | ~ cUnsatisfiable(X2)
    | ~ rinvS(esk1_1(X2),X1) ),
    i_0_30 ).

cnf(c_0_64,plain,
    ( rinvS(X1,X2)
    | ~ rs(X2,X1) ),
    i_0_38 ).

cnf(c_0_65,plain,
    ( rs(X1,esk1_1(X1))
    | ~ rinvF(esk1_1(X1),X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_62]) ).

cnf(c_0_66,plain,
    ( cp(X1)
    | ~ rs(X1,esk1_1(X2))
    | ~ cUnsatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_67,plain,
    ( rs(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_58]),c_0_56]) ).

cnf(c_0_68,plain,
    ( ~ cUnsatisfiable(X1)
    | ~ cp(X1) ),
    i_0_27 ).

cnf(c_0_69,plain,
    cUnsatisfiable(i2003_11_14_17_18_54369),
    i_0_41 ).

cnf(c_0_70,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]) ).

cnf(c_0_71,plain,
    $false,
    inference(sr,[status(thm)],[c_0_69,c_0_70]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS073+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 : Tue Jun  7 12:06:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 6.58/2.21  # ENIGMATIC: Solved by autoschedule:
% 6.58/2.21  # No SInE strategy applied
% 6.58/2.21  # Trying AutoSched0 for 150 seconds
% 6.58/2.21  # AutoSched0-Mode selected heuristic G_____0010_evo
% 6.58/2.21  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.58/2.21  #
% 6.58/2.21  # Preprocessing time       : 0.012 s
% 6.58/2.21  
% 6.58/2.21  # Proof found!
% 6.58/2.21  # SZS status Theorem
% 6.58/2.21  # SZS output start CNFRefutation
% See solution above
% 6.58/2.21  # Training examples: 0 positive, 0 negative
% 6.58/2.21  
% 6.58/2.21  # -------------------------------------------------
% 6.58/2.21  # User time                : 0.015 s
% 6.58/2.21  # System time              : 0.002 s
% 6.58/2.21  # Total time               : 0.016 s
% 6.58/2.21  # Maximum resident set size: 7120 pages
% 6.58/2.21  
%------------------------------------------------------------------------------