TSTP Solution File: KRS122+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS122+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 02:55:40 EDT 2022

% Result   : Unsatisfiable 5.34s 2.26s
% Output   : CNFRefutation 5.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   32 (   4 unt;   0 nHn;  32 RR)
%            Number of literals    :   66 (   4 equ;  40 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   40 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_28,plain,
    ( ~ cp1(X1)
    | ~ ra_Px1(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_28) ).

cnf(i_0_30,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | ~ cp1xcomp(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_30) ).

cnf(i_0_38,plain,
    ( X1 = X2
    | ~ rf(X3,X2)
    | ~ rf(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_38) ).

cnf(i_0_26,plain,
    ( rf(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_26) ).

cnf(i_0_39,plain,
    ( rinvF(X1,X2)
    | ~ rf(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_39) ).

cnf(i_0_36,plain,
    ( cp1xcomp(esk5_1(X1))
    | ~ ca_Vx3(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_36) ).

cnf(i_0_37,plain,
    ( rf(X1,esk5_1(X1))
    | ~ ca_Vx3(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_37) ).

cnf(i_0_33,plain,
    ( ca_Vx3(X1)
    | ~ ca_Ax2(X2)
    | ~ rinvF(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_33) ).

cnf(i_0_25,plain,
    ( ca_Ax2(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_25) ).

cnf(i_0_34,plain,
    ( cp1(X1)
    | ~ ca_Ax2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_34) ).

cnf(i_0_44,plain,
    cUnsatisfiable(i2003_11_14_17_21_55116),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4ni767di/lgb.p',i_0_44) ).

cnf(c_0_56,plain,
    ( ~ cp1(X1)
    | ~ ra_Px1(X1,X2) ),
    i_0_28 ).

cnf(c_0_57,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | ~ cp1xcomp(X1) ),
    i_0_30 ).

cnf(c_0_58,plain,
    ( X1 = X2
    | ~ rf(X3,X2)
    | ~ rf(X3,X1) ),
    i_0_38 ).

cnf(c_0_59,plain,
    ( rf(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_26 ).

cnf(c_0_60,plain,
    ( rinvF(X1,X2)
    | ~ rf(X2,X1) ),
    i_0_39 ).

cnf(c_0_61,plain,
    ( ~ cp1(X1)
    | ~ cp1xcomp(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_62,plain,
    ( cp1xcomp(esk5_1(X1))
    | ~ ca_Vx3(X1) ),
    i_0_36 ).

cnf(c_0_63,plain,
    ( X1 = esk1_1(X2)
    | ~ cUnsatisfiable(X2)
    | ~ rf(X2,X1) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_64,plain,
    ( rf(X1,esk5_1(X1))
    | ~ ca_Vx3(X1) ),
    i_0_37 ).

cnf(c_0_65,plain,
    ( ca_Vx3(X1)
    | ~ ca_Ax2(X2)
    | ~ rinvF(X2,X1) ),
    i_0_33 ).

cnf(c_0_66,plain,
    ( rinvF(esk1_1(X1),X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_59]) ).

cnf(c_0_67,plain,
    ( ca_Ax2(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_25 ).

cnf(c_0_68,plain,
    ( ~ cp1(esk5_1(X1))
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_69,plain,
    ( cp1(X1)
    | ~ ca_Ax2(X1) ),
    i_0_34 ).

cnf(c_0_70,plain,
    ( esk1_1(X1) = esk5_1(X1)
    | ~ cUnsatisfiable(X1)
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_71,plain,
    ( ca_Vx3(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_72,plain,
    ( ~ ca_Ax2(esk5_1(X1))
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_73,plain,
    ( ca_Ax2(esk5_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_70]),c_0_71]) ).

cnf(c_0_74,plain,
    cUnsatisfiable(i2003_11_14_17_21_55116),
    i_0_44 ).

cnf(c_0_75,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_71]) ).

cnf(c_0_76,plain,
    $false,
    inference(sr,[status(thm)],[c_0_74,c_0_75]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : KRS122+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % 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 10:46:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 5.34/2.26  # ENIGMATIC: Solved by autoschedule-lgb:
% 5.34/2.26  # No SInE strategy applied
% 5.34/2.26  # Trying AutoSched0 for 150 seconds
% 5.34/2.26  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4c
% 5.34/2.26  # and selection function SelectCQPrecWNTNp.
% 5.34/2.26  #
% 5.34/2.26  # Preprocessing time       : 0.014 s
% 5.34/2.26  
% 5.34/2.26  # Proof found!
% 5.34/2.26  # SZS status Theorem
% 5.34/2.26  # SZS output start CNFRefutation
% See solution above
% 5.34/2.26  # Training examples: 0 positive, 0 negative
% 5.34/2.26  
% 5.34/2.26  # -------------------------------------------------
% 5.34/2.26  # User time                : 0.016 s
% 5.34/2.26  # System time              : 0.002 s
% 5.34/2.26  # Total time               : 0.019 s
% 5.34/2.26  # Maximum resident set size: 7124 pages
% 5.34/2.26  
%------------------------------------------------------------------------------