TSTP Solution File: KRS116+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 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 : Sun Jul 17 02:55:39 EDT 2022

% Result   : Unsatisfiable 6.92s 2.22s
% Output   : CNFRefutation 6.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   51 (   4 unt;   0 nHn;  51 RR)
%            Number of literals    :  115 (   0 equ;  68 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   17 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   68 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_56,plain,
    ( rinvR(X1,X2)
    | ~ rr(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_56) ).

cnf(i_0_41,plain,
    ( rr(X1,esk11_1(X1))
    | ~ ca_Vx3(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_41) ).

cnf(i_0_14,plain,
    ( ca_Vx7(X1)
    | ~ cc(X2)
    | ~ rinvR(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_14) ).

cnf(i_0_47,plain,
    ( cc(X1)
    | ~ ca_Vx5(X2)
    | ~ rr(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_47) ).

cnf(i_0_54,plain,
    ( rinvP(X1,X2)
    | ~ rp(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_54) ).

cnf(i_0_33,plain,
    ( rp(X1,esk6_1(X1))
    | ~ ca_Ax2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_33) ).

cnf(i_0_38,plain,
    ( ca_Vx3(X1)
    | ~ ca_Ax2(X2)
    | ~ rp(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_38) ).

cnf(i_0_37,plain,
    ( ca_Vx5(X1)
    | ~ ca_Ax2(X2)
    | ~ rp(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_37) ).

cnf(i_0_53,plain,
    ( ca_Vx6(X1)
    | ~ ca_Vx7(X2)
    | ~ rinvP(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_53) ).

cnf(i_0_58,plain,
    ( rinvS(X1,X2)
    | ~ rs(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_58) ).

cnf(i_0_7,plain,
    ( rs(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_7) ).

cnf(i_0_50,plain,
    ( caxcomp(X1)
    | ~ ca_Vx6(X2)
    | ~ rinvS(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_50) ).

cnf(i_0_6,plain,
    ( ca_Ax2(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_6) ).

cnf(i_0_9,plain,
    ( ~ ca(X1)
    | ~ ra_Px1(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_9) ).

cnf(i_0_11,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | ~ caxcomp(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_11) ).

cnf(i_0_5,plain,
    ( ca(X1)
    | ~ cUnsatisfiable(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_5) ).

cnf(i_0_61,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4c8f48sg/lgb.p',i_0_61) ).

cnf(c_0_79,plain,
    ( rinvR(X1,X2)
    | ~ rr(X2,X1) ),
    i_0_56 ).

cnf(c_0_80,plain,
    ( rr(X1,esk11_1(X1))
    | ~ ca_Vx3(X1) ),
    i_0_41 ).

cnf(c_0_81,plain,
    ( ca_Vx7(X1)
    | ~ cc(X2)
    | ~ rinvR(X2,X1) ),
    i_0_14 ).

cnf(c_0_82,plain,
    ( rinvR(esk11_1(X1),X1)
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_83,plain,
    ( cc(X1)
    | ~ ca_Vx5(X2)
    | ~ rr(X2,X1) ),
    i_0_47 ).

cnf(c_0_84,plain,
    ( rinvP(X1,X2)
    | ~ rp(X2,X1) ),
    i_0_54 ).

cnf(c_0_85,plain,
    ( rp(X1,esk6_1(X1))
    | ~ ca_Ax2(X1) ),
    i_0_33 ).

cnf(c_0_86,plain,
    ( ca_Vx7(X1)
    | ~ cc(esk11_1(X1))
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_87,plain,
    ( cc(esk11_1(X1))
    | ~ ca_Vx5(X1)
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_80]) ).

cnf(c_0_88,plain,
    ( ca_Vx3(X1)
    | ~ ca_Ax2(X2)
    | ~ rp(X2,X1) ),
    i_0_38 ).

cnf(c_0_89,plain,
    ( ca_Vx5(X1)
    | ~ ca_Ax2(X2)
    | ~ rp(X2,X1) ),
    i_0_37 ).

cnf(c_0_90,plain,
    ( ca_Vx6(X1)
    | ~ ca_Vx7(X2)
    | ~ rinvP(X2,X1) ),
    i_0_53 ).

cnf(c_0_91,plain,
    ( rinvP(esk6_1(X1),X1)
    | ~ ca_Ax2(X1) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_92,plain,
    ( ca_Vx7(X1)
    | ~ ca_Vx5(X1)
    | ~ ca_Vx3(X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_93,plain,
    ( ca_Vx3(esk6_1(X1))
    | ~ ca_Ax2(X1) ),
    inference(spm,[status(thm)],[c_0_88,c_0_85]) ).

cnf(c_0_94,plain,
    ( ca_Vx5(esk6_1(X1))
    | ~ ca_Ax2(X1) ),
    inference(spm,[status(thm)],[c_0_89,c_0_85]) ).

cnf(c_0_95,plain,
    ( rinvS(X1,X2)
    | ~ rs(X2,X1) ),
    i_0_58 ).

cnf(c_0_96,plain,
    ( rs(X1,esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_7 ).

cnf(c_0_97,plain,
    ( ca_Vx6(X1)
    | ~ ca_Vx7(esk6_1(X1))
    | ~ ca_Ax2(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_98,plain,
    ( ca_Vx7(esk6_1(X1))
    | ~ ca_Ax2(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).

cnf(c_0_99,plain,
    ( caxcomp(X1)
    | ~ ca_Vx6(X2)
    | ~ rinvS(X2,X1) ),
    i_0_50 ).

cnf(c_0_100,plain,
    ( rinvS(esk1_1(X1),X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_101,plain,
    ( ca_Vx6(X1)
    | ~ ca_Ax2(X1) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_102,plain,
    ( ca_Ax2(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    i_0_6 ).

cnf(c_0_103,plain,
    ( ~ ca(X1)
    | ~ ra_Px1(X1,X2) ),
    i_0_9 ).

cnf(c_0_104,plain,
    ( ra_Px1(X1,esk3_1(X1))
    | ~ caxcomp(X1) ),
    i_0_11 ).

cnf(c_0_105,plain,
    ( caxcomp(X1)
    | ~ ca_Vx6(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_106,plain,
    ( ca_Vx6(esk1_1(X1))
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_102]) ).

cnf(c_0_107,plain,
    ( ~ ca(X1)
    | ~ caxcomp(X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_108,plain,
    ( caxcomp(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_109,plain,
    ( ca(X1)
    | ~ cUnsatisfiable(X1) ),
    i_0_5 ).

cnf(c_0_110,plain,
    cUnsatisfiable(i2003_11_14_17_21_33997),
    i_0_61 ).

cnf(c_0_111,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109]) ).

cnf(c_0_112,plain,
    $false,
    inference(sr,[status(thm)],[c_0_110,c_0_111]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS116+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.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 17:51:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 6.92/2.22  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.92/2.22  # No SInE strategy applied
% 6.92/2.22  # Trying AutoSched0 for 150 seconds
% 6.92/2.22  # AutoSched0-Mode selected heuristic G_E___208_C47_F1_SE_CS_SP_PS_S0Y
% 6.92/2.22  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.92/2.22  #
% 6.92/2.22  # Preprocessing time       : 0.013 s
% 6.92/2.22  # Presaturation interreduction done
% 6.92/2.22  
% 6.92/2.22  # Proof found!
% 6.92/2.22  # SZS status Theorem
% 6.92/2.22  # SZS output start CNFRefutation
% See solution above
% 6.92/2.22  # Training examples: 0 positive, 0 negative
% 6.92/2.22  
% 6.92/2.22  # -------------------------------------------------
% 6.92/2.22  # User time                : 0.015 s
% 6.92/2.22  # System time              : 0.004 s
% 6.92/2.22  # Total time               : 0.020 s
% 6.92/2.22  # Maximum resident set size: 7132 pages
% 6.92/2.22  
%------------------------------------------------------------------------------