TSTP Solution File: KRS111+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS111+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 02:55:38 EDT 2022

% Result   : Unsatisfiable 7.01s 2.14s
% Output   : CNFRefutation 7.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (   4 unt;   0 nHn;  35 RR)
%            Number of literals    :   72 (   9 equ;  42 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   48 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_37,plain,
    ( X1 = X2
    | ~ rf(X3,X2)
    | ~ rf(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_37) ).

cnf(i_0_28,plain,
    ( rf(X1,esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_28) ).

cnf(i_0_47,plain,
    ( rf(X1,X2)
    | ~ rs(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_47) ).

cnf(i_0_30,plain,
    ( rs(X1,esk2_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_30) ).

cnf(i_0_38,plain,
    ( X1 = X2
    | ~ rf1(X3,X2)
    | ~ rf1(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_38) ).

cnf(i_0_32,plain,
    ( rf1(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_32) ).

cnf(i_0_48,plain,
    ( rf1(X1,X2)
    | ~ rs(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_48) ).

cnf(i_0_34,plain,
    ( ~ cp(X1)
    | ~ ra_Px1(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_34) ).

cnf(i_0_36,plain,
    ( ra_Px1(X1,esk5_1(X1))
    | ~ cpxcomp(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_36) ).

cnf(i_0_31,plain,
    ( cpxcomp(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_31) ).

cnf(i_0_27,plain,
    ( cp(esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_27) ).

cnf(i_0_46,plain,
    cUnsatisfiable(i2003_11_14_17_21_15425),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-__w4nlut/input.p',i_0_46) ).

cnf(c_0_61,plain,
    ( X1 = X2
    | ~ rf(X3,X2)
    | ~ rf(X3,X1) ),
    i_0_37 ).

cnf(c_0_62,plain,
    ( rf(X1,esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_28 ).

cnf(c_0_63,plain,
    ( rf(X1,X2)
    | ~ rs(X1,X2) ),
    i_0_47 ).

cnf(c_0_64,plain,
    ( rs(X1,esk2_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_30 ).

cnf(c_0_65,plain,
    ( X1 = X2
    | ~ rf1(X3,X2)
    | ~ rf1(X3,X1) ),
    i_0_38 ).

cnf(c_0_66,plain,
    ( rf1(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_32 ).

cnf(c_0_67,plain,
    ( rf1(X1,X2)
    | ~ rs(X1,X2) ),
    i_0_48 ).

cnf(c_0_68,plain,
    ( ~ cp(X1)
    | ~ ra_Px1(X1,X2) ),
    i_0_34 ).

cnf(c_0_69,plain,
    ( ra_Px1(X1,esk5_1(X1))
    | ~ cpxcomp(X1) ),
    i_0_36 ).

cnf(c_0_70,plain,
    ( X1 = esk3_1(X2)
    | ~ rf(X2,X1)
    | ~ cUnsatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_71,plain,
    ( rf(X1,esk2_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_72,plain,
    ( X1 = esk1_1(X2)
    | ~ rf1(X2,X1)
    | ~ cUnsatisfiable(X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_73,plain,
    ( rf1(X1,esk2_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_64]) ).

cnf(c_0_74,plain,
    ( ~ cpxcomp(X1)
    | ~ cp(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_75,plain,
    ( cpxcomp(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_31 ).

cnf(c_0_76,plain,
    ( esk2_1(X1) = esk3_1(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_77,plain,
    ( esk2_1(X1) = esk1_1(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_78,plain,
    ( ~ cp(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_79,plain,
    ( esk1_1(X1) = esk3_1(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_80,plain,
    ( cp(esk3_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_27 ).

cnf(c_0_81,plain,
    cUnsatisfiable(i2003_11_14_17_21_15425),
    i_0_46 ).

cnf(c_0_82,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).

cnf(c_0_83,plain,
    $false,
    inference(sr,[status(thm)],[c_0_81,c_0_82]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS111+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n021.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 13:32:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 7.01/2.14  # ENIGMATIC: Solved by autoschedule:
% 7.01/2.14  # No SInE strategy applied
% 7.01/2.14  # Trying AutoSched0 for 150 seconds
% 7.01/2.14  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 7.01/2.14  # and selection function SelectCQPrecWNTNp.
% 7.01/2.14  #
% 7.01/2.14  # Preprocessing time       : 0.024 s
% 7.01/2.14  
% 7.01/2.14  # Proof found!
% 7.01/2.14  # SZS status Theorem
% 7.01/2.14  # SZS output start CNFRefutation
% See solution above
% 7.01/2.14  # Training examples: 0 positive, 0 negative
% 7.01/2.14  
% 7.01/2.14  # -------------------------------------------------
% 7.01/2.14  # User time                : 0.028 s
% 7.01/2.14  # System time              : 0.003 s
% 7.01/2.14  # Total time               : 0.031 s
% 7.01/2.14  # Maximum resident set size: 7124 pages
% 7.01/2.14  
%------------------------------------------------------------------------------