TSTP Solution File: COM007+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : COM007+2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 : Fri Jul 15 01:06:53 EDT 2022

% Result   : Theorem 7.56s 2.31s
% Output   : CNFRefutation 7.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   33 (  15 unt;   5 nHn;  32 RR)
%            Number of literals    :   59 (   6 equ;  26 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-3 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3,plain,
    ( goal
    | ~ reflexive_rewrite(b,X1)
    | ~ reflexive_rewrite(c,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_3) ).

cnf(i_0_9,negated_conjecture,
    ~ goal,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_9) ).

cnf(i_0_4,plain,
    ( reflexive_rewrite(X1,X2)
    | X1 != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_4) ).

cnf(i_0_6,plain,
    ( X1 = X2
    | rewrite(X1,X2)
    | ~ reflexive_rewrite(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_6) ).

cnf(i_0_1,plain,
    reflexive_rewrite(a,c),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_1) ).

cnf(i_0_2,plain,
    reflexive_rewrite(a,b),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_2) ).

cnf(i_0_8,plain,
    ( rewrite(X1,esk1_3(X2,X1,X3))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_8) ).

cnf(i_0_7,plain,
    ( rewrite(X1,esk1_3(X2,X3,X1))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_7) ).

cnf(i_0_5,plain,
    ( reflexive_rewrite(X1,X2)
    | ~ rewrite(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4muom8ci/input.p',i_0_5) ).

cnf(c_0_19,plain,
    ( goal
    | ~ reflexive_rewrite(b,X1)
    | ~ reflexive_rewrite(c,X1) ),
    i_0_3 ).

cnf(c_0_20,negated_conjecture,
    ~ goal,
    i_0_9 ).

cnf(c_0_21,plain,
    ( reflexive_rewrite(X1,X2)
    | X1 != X2 ),
    i_0_4 ).

cnf(c_0_22,plain,
    ( ~ reflexive_rewrite(b,X1)
    | ~ reflexive_rewrite(c,X1) ),
    inference(sr,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    reflexive_rewrite(X1,X1),
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_24,plain,
    ( X1 = X2
    | rewrite(X1,X2)
    | ~ reflexive_rewrite(X1,X2) ),
    i_0_6 ).

cnf(c_0_25,plain,
    reflexive_rewrite(a,c),
    i_0_1 ).

cnf(c_0_26,plain,
    reflexive_rewrite(a,b),
    i_0_2 ).

cnf(c_0_27,plain,
    ~ reflexive_rewrite(c,b),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,plain,
    ( c = a
    | rewrite(a,c) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,plain,
    ( a = b
    | rewrite(a,b) ),
    inference(spm,[status(thm)],[c_0_24,c_0_26]) ).

cnf(c_0_30,plain,
    ( rewrite(X1,esk1_3(X2,X1,X3))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    i_0_8 ).

cnf(c_0_31,plain,
    rewrite(a,c),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26])]) ).

cnf(c_0_32,plain,
    ( rewrite(a,b)
    | reflexive_rewrite(b,c) ),
    inference(spm,[status(thm)],[c_0_25,c_0_29]) ).

cnf(c_0_33,plain,
    ( rewrite(X1,esk1_3(a,X1,c))
    | ~ rewrite(a,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,plain,
    rewrite(a,b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_32]),c_0_23])]) ).

cnf(c_0_35,plain,
    ( rewrite(X1,esk1_3(X2,X3,X1))
    | ~ rewrite(X2,X3)
    | ~ rewrite(X2,X1) ),
    i_0_7 ).

cnf(c_0_36,plain,
    ( reflexive_rewrite(X1,X2)
    | ~ rewrite(X1,X2) ),
    i_0_5 ).

cnf(c_0_37,plain,
    rewrite(b,esk1_3(a,b,c)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    ( rewrite(X1,esk1_3(a,b,X1))
    | ~ rewrite(a,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_39,plain,
    reflexive_rewrite(b,esk1_3(a,b,c)),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_40,plain,
    rewrite(c,esk1_3(a,b,c)),
    inference(spm,[status(thm)],[c_0_38,c_0_31]) ).

cnf(c_0_41,plain,
    ~ reflexive_rewrite(c,esk1_3(a,b,c)),
    inference(spm,[status(thm)],[c_0_22,c_0_39]) ).

cnf(c_0_42,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_40]),c_0_41]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : COM007+2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 17:35:28 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected complete mode:
% 7.56/2.31  # ENIGMATIC: Solved by autoschedule:
% 7.56/2.31  # No SInE strategy applied
% 7.56/2.31  # Trying AutoSched0 for 150 seconds
% 7.56/2.31  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S076A
% 7.56/2.31  # and selection function SelectCQIAr.
% 7.56/2.31  #
% 7.56/2.31  # Preprocessing time       : 0.023 s
% 7.56/2.31  # Presaturation interreduction done
% 7.56/2.31  
% 7.56/2.31  # Proof found!
% 7.56/2.31  # SZS status Theorem
% 7.56/2.31  # SZS output start CNFRefutation
% See solution above
% 7.56/2.31  # Training examples: 0 positive, 0 negative
% 7.56/2.31  
% 7.56/2.31  # -------------------------------------------------
% 7.56/2.31  # User time                : 0.020 s
% 7.56/2.31  # System time              : 0.011 s
% 7.56/2.31  # Total time               : 0.032 s
% 7.56/2.31  # Maximum resident set size: 7116 pages
% 7.56/2.31  
%------------------------------------------------------------------------------