TSTP Solution File: PUZ001+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PUZ001+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 : Mon Jul 18 18:07:51 EDT 2022

% Result   : Theorem 7.86s 2.37s
% Output   : CNFRefutation 7.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   44 (  20 unt;  14 nHn;  37 RR)
%            Number of literals    :   81 (  31 equ;  31 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-3 aty)
%            Number of variables   :   51 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
    ( X1 = 'AuntAgatha'
    | X1 = 'Butler'
    | X1 = 'Charles'
    | ~ predicate1(X2,live,X1)
    | ~ modifier_pp(X2,in,'DreadburyMansion') ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_11) ).

cnf(i_0_13,plain,
    modifier_pp(esk2_0,in,'DreadburyMansion'),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_13) ).

cnf(i_0_8,plain,
    ( ~ predicate2(X1,hate,'Charles',X2)
    | ~ predicate2(X3,hate,'AuntAgatha',X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_8) ).

cnf(i_0_6,plain,
    ( X1 = 'Butler'
    | predicate2(esk5_1(X1),hate,'AuntAgatha',X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_6) ).

cnf(i_0_14,plain,
    predicate1(esk2_0,live,esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_14) ).

cnf(i_0_2,plain,
    ~ predicate2(X1,hate,X2,esk9_1(X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_2) ).

cnf(i_0_4,plain,
    ( esk6_1(X1) = X1
    | predicate2(esk7_1(X1),hate,'Butler',X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_4) ).

cnf(i_0_10,plain,
    ( predicate2(esk4_3(X1,X2,X3),hate,X1,X2)
    | ~ predicate2(X3,kill,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_10) ).

cnf(i_0_12,plain,
    predicate2(esk3_0,kill,esk1_0,'AuntAgatha'),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_12) ).

cnf(i_0_9,plain,
    ( X1 != X2
    | ~ predicate2(X3,kill,X1,X4)
    | ~ property2(X2,rich,comp_than,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_9) ).

cnf(i_0_5,plain,
    ( predicate2(esk7_1(X1),hate,'Butler',X1)
    | property2(esk6_1(X1),rich,comp_than,'AuntAgatha') ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_5) ).

cnf(i_0_3,plain,
    ( predicate2(esk8_2(X1,X2),hate,'Butler',X1)
    | ~ predicate2(X2,hate,'AuntAgatha',X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_3) ).

cnf(i_0_1,plain,
    'Butler' != 'AuntAgatha',
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_1) ).

cnf(i_0_15,negated_conjecture,
    ~ predicate2(X1,kill,'AuntAgatha','AuntAgatha'),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ctvuf82r/lgb.p',i_0_15) ).

cnf(c_0_30,plain,
    ( X1 = 'AuntAgatha'
    | X1 = 'Butler'
    | X1 = 'Charles'
    | ~ predicate1(X2,live,X1)
    | ~ modifier_pp(X2,in,'DreadburyMansion') ),
    i_0_11 ).

cnf(c_0_31,plain,
    modifier_pp(esk2_0,in,'DreadburyMansion'),
    i_0_13 ).

cnf(c_0_32,plain,
    ( ~ predicate2(X1,hate,'Charles',X2)
    | ~ predicate2(X3,hate,'AuntAgatha',X2) ),
    i_0_8 ).

cnf(c_0_33,plain,
    ( X1 = 'Butler'
    | predicate2(esk5_1(X1),hate,'AuntAgatha',X1) ),
    i_0_6 ).

cnf(c_0_34,plain,
    ( X1 = 'Charles'
    | X1 = 'AuntAgatha'
    | X1 = 'Butler'
    | ~ predicate1(esk2_0,live,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    predicate1(esk2_0,live,esk1_0),
    i_0_14 ).

cnf(c_0_36,plain,
    ~ predicate2(X1,hate,X2,esk9_1(X2)),
    i_0_2 ).

cnf(c_0_37,plain,
    ( esk6_1(X1) = X1
    | predicate2(esk7_1(X1),hate,'Butler',X1) ),
    i_0_4 ).

cnf(c_0_38,plain,
    ( X1 = 'Butler'
    | ~ predicate2(X2,hate,'Charles',X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_39,plain,
    ( esk1_0 = 'Butler'
    | esk1_0 = 'AuntAgatha'
    | 'Charles' = esk1_0 ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,plain,
    ( predicate2(esk4_3(X1,X2,X3),hate,X1,X2)
    | ~ predicate2(X3,kill,X1,X2) ),
    i_0_10 ).

cnf(c_0_41,plain,
    predicate2(esk3_0,kill,esk1_0,'AuntAgatha'),
    i_0_12 ).

cnf(c_0_42,plain,
    ( X1 != X2
    | ~ predicate2(X3,kill,X1,X4)
    | ~ property2(X2,rich,comp_than,X4) ),
    i_0_9 ).

cnf(c_0_43,plain,
    ( predicate2(esk7_1(X1),hate,'Butler',X1)
    | property2(esk6_1(X1),rich,comp_than,'AuntAgatha') ),
    i_0_5 ).

cnf(c_0_44,plain,
    esk6_1(esk9_1('Butler')) = esk9_1('Butler'),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_45,plain,
    ( predicate2(esk8_2(X1,X2),hate,'Butler',X1)
    | ~ predicate2(X2,hate,'AuntAgatha',X1) ),
    i_0_3 ).

cnf(c_0_46,plain,
    ( esk1_0 = 'AuntAgatha'
    | esk1_0 = 'Butler'
    | X1 = 'Butler'
    | ~ predicate2(X2,hate,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_47,plain,
    predicate2(esk4_3(esk1_0,'AuntAgatha',esk3_0),hate,esk1_0,'AuntAgatha'),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_48,plain,
    'Butler' != 'AuntAgatha',
    i_0_1 ).

cnf(c_0_49,plain,
    ( ~ property2(X1,rich,comp_than,X2)
    | ~ predicate2(X3,kill,X1,X2) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_50,plain,
    property2(esk9_1('Butler'),rich,comp_than,'AuntAgatha'),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_36]) ).

cnf(c_0_51,plain,
    ( X1 = 'Butler'
    | predicate2(esk8_2(X1,esk5_1(X1)),hate,'Butler',X1) ),
    inference(spm,[status(thm)],[c_0_45,c_0_33]) ).

cnf(c_0_52,plain,
    ( esk1_0 = 'Butler'
    | esk1_0 = 'AuntAgatha' ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_53,plain,
    ~ predicate2(X1,kill,esk9_1('Butler'),'AuntAgatha'),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,plain,
    esk9_1('Butler') = 'Butler',
    inference(spm,[status(thm)],[c_0_36,c_0_51]) ).

cnf(c_0_55,plain,
    ( esk1_0 = 'AuntAgatha'
    | predicate2(esk3_0,kill,'Butler','AuntAgatha') ),
    inference(spm,[status(thm)],[c_0_41,c_0_52]) ).

cnf(c_0_56,plain,
    ~ predicate2(X1,kill,'Butler','AuntAgatha'),
    inference(rw,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    esk1_0 = 'AuntAgatha',
    inference(sr,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_58,negated_conjecture,
    ~ predicate2(X1,kill,'AuntAgatha','AuntAgatha'),
    i_0_15 ).

cnf(c_0_59,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_57]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ001+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.33  % Computer : n029.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sun May 29 00:45:14 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 7.86/2.37  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.86/2.37  # No SInE strategy applied
% 7.86/2.37  # Trying AutoSched0 for 150 seconds
% 7.86/2.37  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S002I
% 7.86/2.37  # and selection function SelectNegativeLiterals.
% 7.86/2.37  #
% 7.86/2.37  # Preprocessing time       : 0.020 s
% 7.86/2.37  # Presaturation interreduction done
% 7.86/2.37  
% 7.86/2.37  # Proof found!
% 7.86/2.37  # SZS status Theorem
% 7.86/2.37  # SZS output start CNFRefutation
% See solution above
% 7.86/2.37  # Training examples: 0 positive, 0 negative
% 7.86/2.37  
% 7.86/2.37  # -------------------------------------------------
% 7.86/2.37  # User time                : 0.023 s
% 7.86/2.37  # System time              : 0.003 s
% 7.86/2.37  # Total time               : 0.026 s
% 7.86/2.37  # Maximum resident set size: 7124 pages
% 7.86/2.37  
%------------------------------------------------------------------------------