TSTP Solution File: KRS109+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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 : Sun Jul 17 02:55:38 EDT 2022

% Result   : Unsatisfiable 3.99s 2.05s
% Output   : CNFRefutation 3.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   38 (   4 unt;   0 nHn;  38 RR)
%            Number of literals    :   81 (   4 equ;  48 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   52 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_45,plain,
    ( X1 = X2
    | ~ rf(X3,X2)
    | ~ rf(X3,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_45) ).

cnf(i_0_30,plain,
    ( rf(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_30) ).

cnf(i_0_55,plain,
    ( rf(X1,X2)
    | ~ rs(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_55) ).

cnf(i_0_44,plain,
    ( rs(X1,esk6_1(X1))
    | ~ ca_Vx3(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_44) ).

cnf(i_0_47,plain,
    ( rinvF(X1,X2)
    | ~ rf(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_47) ).

cnf(i_0_51,plain,
    ( rinvS(X1,X2)
    | ~ rs(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_51) ).

cnf(i_0_40,plain,
    ( ca_Vx3(X1)
    | ~ ca_Ax2(X2)
    | ~ rinvF(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_40) ).

cnf(i_0_29,plain,
    ( ca_Ax2(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_29) ).

cnf(i_0_33,plain,
    ( ~ cp(X1)
    | ~ ra_Px1(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_33) ).

cnf(i_0_35,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | ~ cpxcomp(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_35) ).

cnf(i_0_41,plain,
    ( cp(X1)
    | ~ ca_Ax2(X2)
    | ~ rinvS(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_41) ).

cnf(i_0_31,plain,
    ( cpxcomp(X1)
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_31) ).

cnf(i_0_54,plain,
    cUnsatisfiable(i2003_11_14_17_21_08508),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o261dxkq/lgb.p',i_0_54) ).

cnf(c_0_69,plain,
    ( X1 = X2
    | ~ rf(X3,X2)
    | ~ rf(X3,X1) ),
    i_0_45 ).

cnf(c_0_70,plain,
    ( rf(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_30 ).

cnf(c_0_71,plain,
    ( rf(X1,X2)
    | ~ rs(X1,X2) ),
    i_0_55 ).

cnf(c_0_72,plain,
    ( rs(X1,esk6_1(X1))
    | ~ ca_Vx3(X1) ),
    i_0_44 ).

cnf(c_0_73,plain,
    ( rinvF(X1,X2)
    | ~ rf(X2,X1) ),
    i_0_47 ).

cnf(c_0_74,plain,
    ( rinvS(X1,X2)
    | ~ rs(X2,X1) ),
    i_0_51 ).

cnf(c_0_75,plain,
    ( X1 = esk1_1(X2)
    | ~ cUnsatisfiable(X2)
    | ~ rf(X2,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_76,plain,
    ( rf(X1,esk6_1(X1))
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_77,plain,
    ( ca_Vx3(X1)
    | ~ ca_Ax2(X2)
    | ~ rinvF(X2,X1) ),
    i_0_40 ).

cnf(c_0_78,plain,
    ( rinvF(esk1_1(X1),X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_70]) ).

cnf(c_0_79,plain,
    ( ca_Ax2(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_29 ).

cnf(c_0_80,plain,
    ( ~ cp(X1)
    | ~ ra_Px1(X1,X2) ),
    i_0_33 ).

cnf(c_0_81,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | ~ cpxcomp(X1) ),
    i_0_35 ).

cnf(c_0_82,plain,
    ( cp(X1)
    | ~ ca_Ax2(X2)
    | ~ rinvS(X2,X1) ),
    i_0_41 ).

cnf(c_0_83,plain,
    ( rinvS(esk6_1(X1),X1)
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_72]) ).

cnf(c_0_84,plain,
    ( esk1_1(X1) = esk6_1(X1)
    | ~ cUnsatisfiable(X1)
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_85,plain,
    ( ca_Vx3(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).

cnf(c_0_86,plain,
    ( ~ cp(X1)
    | ~ cpxcomp(X1) ),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_87,plain,
    ( cpxcomp(X1)
    | ~ cUnsatisfiable(X1) ),
    i_0_31 ).

cnf(c_0_88,plain,
    ( cp(X1)
    | ~ ca_Ax2(esk6_1(X1))
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_89,plain,
    ( ca_Ax2(esk6_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_84]),c_0_85]) ).

cnf(c_0_90,plain,
    ( ~ cp(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_91,plain,
    cUnsatisfiable(i2003_11_14_17_21_08508),
    i_0_54 ).

cnf(c_0_92,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_85]),c_0_90]) ).

cnf(c_0_93,plain,
    $false,
    inference(sr,[status(thm)],[c_0_91,c_0_92]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% 0.02/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 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 : Tue Jun  7 13:38:22 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.15/0.38  # ENIGMATIC: Selected complete mode:
% 3.99/2.05  # ENIGMATIC: Solved by autoschedule-lgb:
% 3.99/2.05  # No SInE strategy applied
% 3.99/2.05  # Trying AutoSched0 for 150 seconds
% 3.99/2.05  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 3.99/2.05  # and selection function SelectCQPrecWNTNp.
% 3.99/2.05  #
% 3.99/2.05  # Preprocessing time       : 0.013 s
% 3.99/2.05  
% 3.99/2.05  # Proof found!
% 3.99/2.05  # SZS status Theorem
% 3.99/2.05  # SZS output start CNFRefutation
% See solution above
% 3.99/2.05  # Training examples: 0 positive, 0 negative
% 3.99/2.05  
% 3.99/2.05  # -------------------------------------------------
% 3.99/2.05  # User time                : 0.015 s
% 3.99/2.05  # System time              : 0.003 s
% 3.99/2.05  # Total time               : 0.018 s
% 3.99/2.05  # Maximum resident set size: 7128 pages
% 3.99/2.05  
%------------------------------------------------------------------------------