TSTP Solution File: LCL499+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL499+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 09:26:25 EDT 2022

% Result   : Theorem 8.20s 2.51s
% Output   : CNFRefutation 8.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (  19 unt;   0 nHn;  22 RR)
%            Number of literals    :   56 (   6 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_34,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_34) ).

cnf(i_0_48,plain,
    modus_ponens,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_48) ).

cnf(i_0_62,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
    | ~ r3 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_62) ).

cnf(i_0_54,plain,
    r3,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_54) ).

cnf(i_0_40,plain,
    ( or(not(X1),X2) = implies(X1,X2)
    | ~ op_implies_or ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_40) ).

cnf(i_0_51,plain,
    op_implies_or,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_51) ).

cnf(i_0_58,plain,
    ( is_a_theorem(implies(or(X1,X1),X1))
    | ~ r1 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_58) ).

cnf(i_0_52,plain,
    r1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_52) ).

cnf(i_0_37,plain,
    ( not(or(not(X1),not(X2))) = and(X1,X2)
    | ~ op_and ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_37) ).

cnf(i_0_49,plain,
    op_and,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_49) ).

cnf(i_0_25,plain,
    ( kn1
    | ~ is_a_theorem(implies(esk26_0,and(esk26_0,esk26_0))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_25) ).

cnf(i_0_67,negated_conjecture,
    ~ kn1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tfvdncrq/lgb.p',i_0_67) ).

cnf(c_0_80,plain,
    ( is_a_theorem(X1)
    | ~ modus_ponens
    | ~ is_a_theorem(X2)
    | ~ is_a_theorem(implies(X2,X1)) ),
    i_0_34 ).

cnf(c_0_81,plain,
    modus_ponens,
    i_0_48 ).

cnf(c_0_82,plain,
    ( is_a_theorem(implies(or(X1,X2),or(X2,X1)))
    | ~ r3 ),
    i_0_62 ).

cnf(c_0_83,plain,
    r3,
    i_0_54 ).

cnf(c_0_84,plain,
    ( is_a_theorem(X1)
    | ~ is_a_theorem(implies(X2,X1))
    | ~ is_a_theorem(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_81])]) ).

cnf(c_0_85,plain,
    is_a_theorem(implies(or(X1,X2),or(X2,X1))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).

cnf(c_0_86,plain,
    ( or(not(X1),X2) = implies(X1,X2)
    | ~ op_implies_or ),
    i_0_40 ).

cnf(c_0_87,plain,
    op_implies_or,
    i_0_51 ).

cnf(c_0_88,plain,
    ( is_a_theorem(or(X1,X2))
    | ~ is_a_theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_89,plain,
    or(not(X1),X2) = implies(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]) ).

cnf(c_0_90,plain,
    ( is_a_theorem(or(X1,not(X2)))
    | ~ is_a_theorem(implies(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_91,plain,
    ( is_a_theorem(implies(or(X1,X1),X1))
    | ~ r1 ),
    i_0_58 ).

cnf(c_0_92,plain,
    r1,
    i_0_52 ).

cnf(c_0_93,plain,
    ( not(or(not(X1),not(X2))) = and(X1,X2)
    | ~ op_and ),
    i_0_37 ).

cnf(c_0_94,plain,
    op_and,
    i_0_49 ).

cnf(c_0_95,plain,
    ( kn1
    | ~ is_a_theorem(implies(esk26_0,and(esk26_0,esk26_0))) ),
    i_0_25 ).

cnf(c_0_96,negated_conjecture,
    ~ kn1,
    i_0_67 ).

cnf(c_0_97,plain,
    ( is_a_theorem(implies(X1,not(X2)))
    | ~ is_a_theorem(implies(X2,not(X1))) ),
    inference(spm,[status(thm)],[c_0_90,c_0_89]) ).

cnf(c_0_98,plain,
    is_a_theorem(implies(or(X1,X1),X1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).

cnf(c_0_99,plain,
    not(implies(X1,not(X2))) = and(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_89]),c_0_94])]) ).

cnf(c_0_100,plain,
    ~ is_a_theorem(implies(esk26_0,and(esk26_0,esk26_0))),
    inference(sr,[status(thm)],[c_0_95,c_0_96]) ).

cnf(c_0_101,plain,
    is_a_theorem(implies(X1,and(X1,X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_89]),c_0_99]) ).

cnf(c_0_102,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL499+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.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 : Sat Jul  2 21:48:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.20/2.51  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.20/2.51  # No SInE strategy applied
% 8.20/2.51  # Trying AutoSched0 for 150 seconds
% 8.20/2.51  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 8.20/2.51  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.20/2.51  #
% 8.20/2.51  # Preprocessing time       : 0.024 s
% 8.20/2.51  # Presaturation interreduction done
% 8.20/2.51  
% 8.20/2.51  # Proof found!
% 8.20/2.51  # SZS status Theorem
% 8.20/2.51  # SZS output start CNFRefutation
% See solution above
% 8.20/2.51  # Training examples: 0 positive, 0 negative
% 8.20/2.51  
% 8.20/2.51  # -------------------------------------------------
% 8.20/2.51  # User time                : 0.035 s
% 8.20/2.51  # System time              : 0.006 s
% 8.20/2.51  # Total time               : 0.041 s
% 8.20/2.51  # Maximum resident set size: 7124 pages
% 8.20/2.51  
%------------------------------------------------------------------------------