TSTP Solution File: PUZ031+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : PUZ031+3 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n027.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 18:07:54 EDT 2022

% Result   : Theorem 7.22s 2.34s
% Output   : CNFRefutation 7.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   70 (  26 unt;   2 nHn;  70 RR)
%            Number of literals    :  151 (   0 equ;  96 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   70 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_19,plain,
    ( much_smaller(X1,X2)
    | ~ bird(X2)
    | ~ snail(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_19) ).

cnf(i_0_12,plain,
    snail(esk7_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_12) ).

cnf(i_0_26,plain,
    ( ~ bird(X1)
    | ~ snail(X2)
    | ~ eats(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_26) ).

cnf(i_0_22,plain,
    ( much_smaller(X1,X2)
    | ~ wolf(X2)
    | ~ fox(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_22) ).

cnf(i_0_6,plain,
    fox(esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_6) ).

cnf(i_0_23,plain,
    ( ~ wolf(X1)
    | ~ fox(X2)
    | ~ eats(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_23) ).

cnf(i_0_8,plain,
    bird(esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_8) ).

cnf(i_0_13,plain,
    ( animal(X1)
    | ~ snail(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_13) ).

cnf(i_0_9,plain,
    ( animal(X1)
    | ~ bird(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_9) ).

cnf(i_0_4,plain,
    wolf(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_4) ).

cnf(i_0_7,plain,
    ( animal(X1)
    | ~ fox(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_7) ).

cnf(i_0_5,plain,
    ( animal(X1)
    | ~ wolf(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_5) ).

cnf(i_0_24,plain,
    ( ~ wolf(X1)
    | ~ grain(X2)
    | ~ eats(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_24) ).

cnf(i_0_16,plain,
    grain(esk9_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_16) ).

cnf(i_0_21,plain,
    ( much_smaller(X1,X2)
    | ~ fox(X2)
    | ~ bird(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_21) ).

cnf(i_0_18,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ animal(X2)
    | ~ animal(X1)
    | ~ plant(X4)
    | ~ plant(X3)
    | ~ eats(X2,X4)
    | ~ much_smaller(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_18) ).

cnf(i_0_30,plain,
    ( plant(esk11_1(X1))
    | ~ snail(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_30) ).

cnf(i_0_29,plain,
    ( eats(X1,esk11_1(X1))
    | ~ snail(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_29) ).

cnf(i_0_17,plain,
    ( plant(X1)
    | ~ grain(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_17) ).

cnf(i_0_31,negated_conjecture,
    ( ~ animal(X1)
    | ~ animal(X2)
    | ~ grain(X3)
    | ~ eats(X1,X3)
    | ~ eats(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-o8hznlt4/input.p',i_0_31) ).

cnf(c_0_52,plain,
    ( much_smaller(X1,X2)
    | ~ bird(X2)
    | ~ snail(X1) ),
    i_0_19 ).

cnf(c_0_53,plain,
    snail(esk7_0),
    i_0_12 ).

cnf(c_0_54,plain,
    ( ~ bird(X1)
    | ~ snail(X2)
    | ~ eats(X1,X2) ),
    i_0_26 ).

cnf(c_0_55,plain,
    ( much_smaller(X1,X2)
    | ~ wolf(X2)
    | ~ fox(X1) ),
    i_0_22 ).

cnf(c_0_56,plain,
    fox(esk4_0),
    i_0_6 ).

cnf(c_0_57,plain,
    ( ~ wolf(X1)
    | ~ fox(X2)
    | ~ eats(X1,X2) ),
    i_0_23 ).

cnf(c_0_58,plain,
    ( much_smaller(esk7_0,X1)
    | ~ bird(X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_59,plain,
    bird(esk5_0),
    i_0_8 ).

cnf(c_0_60,plain,
    ( animal(X1)
    | ~ snail(X1) ),
    i_0_13 ).

cnf(c_0_61,plain,
    ( animal(X1)
    | ~ bird(X1) ),
    i_0_9 ).

cnf(c_0_62,plain,
    ( ~ eats(X1,esk7_0)
    | ~ bird(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_53]) ).

cnf(c_0_63,plain,
    ( much_smaller(esk4_0,X1)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_64,plain,
    wolf(esk3_0),
    i_0_4 ).

cnf(c_0_65,plain,
    ( animal(X1)
    | ~ fox(X1) ),
    i_0_7 ).

cnf(c_0_66,plain,
    ( animal(X1)
    | ~ wolf(X1) ),
    i_0_5 ).

cnf(c_0_67,plain,
    ( ~ eats(X1,esk4_0)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_56]) ).

cnf(c_0_68,plain,
    ( ~ wolf(X1)
    | ~ grain(X2)
    | ~ eats(X1,X2) ),
    i_0_24 ).

cnf(c_0_69,plain,
    grain(esk9_0),
    i_0_16 ).

cnf(c_0_70,plain,
    ( much_smaller(X1,X2)
    | ~ fox(X2)
    | ~ bird(X1) ),
    i_0_21 ).

cnf(c_0_71,plain,
    ( eats(X1,X2)
    | eats(X1,X3)
    | ~ animal(X2)
    | ~ animal(X1)
    | ~ plant(X4)
    | ~ plant(X3)
    | ~ eats(X2,X4)
    | ~ much_smaller(X2,X1) ),
    i_0_18 ).

cnf(c_0_72,plain,
    much_smaller(esk7_0,esk5_0),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_73,plain,
    animal(esk7_0),
    inference(spm,[status(thm)],[c_0_60,c_0_53]) ).

cnf(c_0_74,plain,
    animal(esk5_0),
    inference(spm,[status(thm)],[c_0_61,c_0_59]) ).

cnf(c_0_75,plain,
    ~ eats(esk5_0,esk7_0),
    inference(spm,[status(thm)],[c_0_62,c_0_59]) ).

cnf(c_0_76,plain,
    ( plant(esk11_1(X1))
    | ~ snail(X1) ),
    i_0_30 ).

cnf(c_0_77,plain,
    ( eats(X1,esk11_1(X1))
    | ~ snail(X1) ),
    i_0_29 ).

cnf(c_0_78,plain,
    much_smaller(esk4_0,esk3_0),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_79,plain,
    animal(esk4_0),
    inference(spm,[status(thm)],[c_0_65,c_0_56]) ).

cnf(c_0_80,plain,
    animal(esk3_0),
    inference(spm,[status(thm)],[c_0_66,c_0_64]) ).

cnf(c_0_81,plain,
    ~ eats(esk3_0,esk4_0),
    inference(spm,[status(thm)],[c_0_67,c_0_64]) ).

cnf(c_0_82,plain,
    ( plant(X1)
    | ~ grain(X1) ),
    i_0_17 ).

cnf(c_0_83,plain,
    ( ~ eats(X1,esk9_0)
    | ~ wolf(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_84,plain,
    ( much_smaller(X1,esk4_0)
    | ~ bird(X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_56]) ).

cnf(c_0_85,plain,
    ( eats(esk5_0,X1)
    | ~ eats(esk7_0,X2)
    | ~ plant(X2)
    | ~ plant(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]),c_0_74])]),c_0_75]) ).

cnf(c_0_86,plain,
    plant(esk11_1(esk7_0)),
    inference(spm,[status(thm)],[c_0_76,c_0_53]) ).

cnf(c_0_87,plain,
    eats(esk7_0,esk11_1(esk7_0)),
    inference(spm,[status(thm)],[c_0_77,c_0_53]) ).

cnf(c_0_88,plain,
    ( eats(esk3_0,X1)
    | ~ eats(esk4_0,X2)
    | ~ plant(X2)
    | ~ plant(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_78]),c_0_79]),c_0_80])]),c_0_81]) ).

cnf(c_0_89,plain,
    plant(esk9_0),
    inference(spm,[status(thm)],[c_0_82,c_0_69]) ).

cnf(c_0_90,plain,
    ~ eats(esk3_0,esk9_0),
    inference(spm,[status(thm)],[c_0_83,c_0_64]) ).

cnf(c_0_91,plain,
    much_smaller(esk5_0,esk4_0),
    inference(spm,[status(thm)],[c_0_84,c_0_59]) ).

cnf(c_0_92,plain,
    ( eats(esk5_0,X1)
    | ~ plant(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87])]) ).

cnf(c_0_93,plain,
    ( ~ eats(esk4_0,X1)
    | ~ plant(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ animal(X1)
    | ~ animal(X2)
    | ~ grain(X3)
    | ~ eats(X1,X3)
    | ~ eats(X2,X1) ),
    i_0_31 ).

cnf(c_0_95,plain,
    ( eats(esk4_0,esk5_0)
    | ~ plant(X1)
    | ~ plant(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_91]),c_0_74]),c_0_79])]),c_0_92]),c_0_93]) ).

cnf(c_0_96,plain,
    ( ~ eats(X1,esk9_0)
    | ~ eats(X2,X1)
    | ~ animal(X2)
    | ~ animal(X1) ),
    inference(spm,[status(thm)],[c_0_94,c_0_69]) ).

cnf(c_0_97,plain,
    eats(esk5_0,esk9_0),
    inference(spm,[status(thm)],[c_0_92,c_0_89]) ).

cnf(c_0_98,plain,
    ( eats(esk4_0,esk5_0)
    | ~ plant(X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_86]) ).

cnf(c_0_99,plain,
    ( ~ eats(X1,esk5_0)
    | ~ animal(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_74])]) ).

cnf(c_0_100,plain,
    eats(esk4_0,esk5_0),
    inference(spm,[status(thm)],[c_0_98,c_0_86]) ).

cnf(c_0_101,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_79])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : PUZ031+3 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n027.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat May 28 20:51:16 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 7.22/2.34  # ENIGMATIC: Solved by autoschedule:
% 7.22/2.34  # No SInE strategy applied
% 7.22/2.34  # Trying AutoSched0 for 150 seconds
% 7.22/2.34  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_AE_CS_SP_PI_S0a
% 7.22/2.34  # and selection function SelectNegativeLiterals.
% 7.22/2.34  #
% 7.22/2.34  # Preprocessing time       : 0.018 s
% 7.22/2.34  
% 7.22/2.34  # Proof found!
% 7.22/2.34  # SZS status Theorem
% 7.22/2.34  # SZS output start CNFRefutation
% See solution above
% 7.22/2.34  # Training examples: 0 positive, 0 negative
% 7.22/2.34  
% 7.22/2.34  # -------------------------------------------------
% 7.22/2.34  # User time                : 0.020 s
% 7.22/2.34  # System time              : 0.008 s
% 7.22/2.34  # Total time               : 0.028 s
% 7.22/2.34  # Maximum resident set size: 7120 pages
% 7.22/2.34  
%------------------------------------------------------------------------------