TSTP Solution File: SWW240+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW240+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 00:01:48 EDT 2022

% Result   : Theorem 9.91s 3.08s
% Output   : CNFRefutation 9.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (   6 unt;   0 nHn;  11 RR)
%            Number of literals    :   33 (  10 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   31 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_301,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j3qr39u8/lgb.p',i_0_301) ).

cnf(i_0_1196,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4)) = hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Omonom(X1,X2,X4)),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j3qr39u8/lgb.p',i_0_1196) ).

cnf(i_0_1197,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3)),hAPP(c_Polynomial_Opoly(X1,X4),X3)) = hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4)),X3)
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j3qr39u8/lgb.p',i_0_1197) ).

cnf(i_0_199,negated_conjecture,
    hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j3qr39u8/lgb.p',i_0_199) ).

cnf(i_0_189,plain,
    ( class_Rings_Ocomm__semiring__0(X1)
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j3qr39u8/lgb.p',i_0_189) ).

cnf(i_0_1593,hypothesis,
    class_Rings_Ocomm__ring__1(t_a),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j3qr39u8/lgb.p',i_0_1593) ).

cnf(i_0_190,plain,
    ( class_Rings_Ocomm__semiring__1(X1)
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-j3qr39u8/lgb.p',i_0_190) ).

cnf(c_0_1601,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2) = X2
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    i_0_301 ).

cnf(c_0_1602,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4)) = hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Omonom(X1,X2,X4)),X3)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    i_0_1196 ).

cnf(c_0_1603,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Opoly(X1,X2),X3)),hAPP(c_Polynomial_Opoly(X1,X4),X3)) = hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4)),X3)
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    i_0_1197 ).

cnf(c_0_1604,plain,
    ( hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Omonom(X1,c_Groups_Oone__class_Oone(X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X2)
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    inference(spm,[status(thm)],[c_0_1601,c_0_1602]) ).

cnf(c_0_1605,negated_conjecture,
    hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),c_Polynomial_Omonom(t_a,c_Groups_Oone__class_Oone(t_a),v_n)),v_p)),v_x) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(hAPP(c_Power_Opower__class_Opower(t_a),v_x),v_n)),hAPP(c_Polynomial_Opoly(t_a,v_p),v_x)),
    i_0_199 ).

cnf(c_0_1606,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(c_Polynomial_Opoly(X1,X4),X2)) = hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Polynomial_Omonom(X1,c_Groups_Oone__class_Oone(X1),X3)),X4)),X2)
    | ~ class_Rings_Ocomm__semiring__1(X1)
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    inference(spm,[status(thm)],[c_0_1603,c_0_1604]) ).

cnf(c_0_1607,negated_conjecture,
    ( ~ class_Rings_Ocomm__semiring__1(t_a)
    | ~ class_Rings_Ocomm__semiring__0(t_a) ),
    inference(spm,[status(thm)],[c_0_1605,c_0_1606]) ).

cnf(c_0_1608,plain,
    ( class_Rings_Ocomm__semiring__0(X1)
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    i_0_189 ).

cnf(c_0_1609,hypothesis,
    class_Rings_Ocomm__ring__1(t_a),
    i_0_1593 ).

cnf(c_0_1610,plain,
    ~ class_Rings_Ocomm__semiring__1(t_a),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1607,c_0_1608]),c_0_1609])]) ).

cnf(c_0_1611,plain,
    ( class_Rings_Ocomm__semiring__1(X1)
    | ~ class_Rings_Ocomm__ring__1(X1) ),
    i_0_190 ).

cnf(c_0_1612,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1610,c_0_1611]),c_0_1609])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW240+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun  4 09:17:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.52  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.52  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.52  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.91/3.08  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.91/3.08  # No SInE strategy applied
% 9.91/3.08  # Trying AutoSched0 for 150 seconds
% 9.91/3.08  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.91/3.08  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.91/3.08  #
% 9.91/3.08  # Preprocessing time       : 0.025 s
% 9.91/3.08  # Presaturation interreduction done
% 9.91/3.08  
% 9.91/3.08  # Proof found!
% 9.91/3.08  # SZS status Theorem
% 9.91/3.08  # SZS output start CNFRefutation
% See solution above
% 9.91/3.08  # Training examples: 0 positive, 0 negative
% 9.91/3.08  
% 9.91/3.08  # -------------------------------------------------
% 9.91/3.08  # User time                : 0.038 s
% 9.91/3.08  # System time              : 0.008 s
% 9.91/3.08  # Total time               : 0.046 s
% 9.91/3.08  # Maximum resident set size: 7380 pages
% 9.91/3.08  
%------------------------------------------------------------------------------