TSTP Solution File: SWW272+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW272+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 00:01:53 EDT 2022

% Result   : Theorem 10.06s 2.95s
% Output   : CNFRefutation 10.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  15 unt;   0 nHn;  16 RR)
%            Number of literals    :   23 (  14 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :    7 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1376,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m_upass/lgb.p',i_0_1376) ).

cnf(i_0_209,negated_conjecture,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m_upass/lgb.p',i_0_209) ).

cnf(i_0_1146,plain,
    ( c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m_upass/lgb.p',i_0_1146) ).

cnf(i_0_24,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m_upass/lgb.p',i_0_24) ).

cnf(i_0_954,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m_upass/lgb.p',i_0_954) ).

cnf(i_0_23,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m_upass/lgb.p',i_0_23) ).

cnf(i_0_1226,plain,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-0m_upass/lgb.p',i_0_1226) ).

cnf(c_0_1384,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
    i_0_1376 ).

cnf(c_0_1385,negated_conjecture,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_s____,
    i_0_209 ).

cnf(c_0_1386,plain,
    ( c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__1(X1) ),
    i_0_1146 ).

cnf(c_0_1387,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    i_0_24 ).

cnf(c_0_1388,plain,
    ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
    | ~ class_Rings_Ocomm__semiring__0(X1) ),
    i_0_954 ).

cnf(c_0_1389,plain,
    class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
    i_0_23 ).

cnf(c_0_1390,plain,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
    i_0_1226 ).

cnf(c_0_1391,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
    inference(rw,[status(thm)],[c_0_1384,c_0_1385]) ).

cnf(c_0_1392,negated_conjecture,
    c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1386,c_0_1385]),c_0_1387])]) ).

cnf(c_0_1393,negated_conjecture,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),v_s____) = v_s____,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1388,c_0_1385]),c_0_1389])]) ).

cnf(c_0_1394,plain,
    v_s____ != v_pa____,
    inference(rw,[status(thm)],[c_0_1390,c_0_1385]) ).

cnf(c_0_1395,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1391,c_0_1392]),c_0_1393]),c_0_1394]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW272+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n023.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 : Mon Jun  6 07:00:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.34/0.52  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.52  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.34/0.52  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.34/0.52  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.06/2.95  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.06/2.95  # No SInE strategy applied
% 10.06/2.95  # Trying AutoSched0 for 150 seconds
% 10.06/2.95  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.06/2.95  # and selection function SelectComplexExceptUniqMaxHorn.
% 10.06/2.95  #
% 10.06/2.95  # Preprocessing time       : 0.027 s
% 10.06/2.95  # Presaturation interreduction done
% 10.06/2.95  
% 10.06/2.95  # Proof found!
% 10.06/2.95  # SZS status Theorem
% 10.06/2.95  # SZS output start CNFRefutation
% See solution above
% 10.06/2.95  # Training examples: 0 positive, 0 negative
% 10.06/2.95  
% 10.06/2.95  # -------------------------------------------------
% 10.06/2.95  # User time                : 0.048 s
% 10.06/2.95  # System time              : 0.010 s
% 10.06/2.95  # Total time               : 0.058 s
% 10.06/2.95  # Maximum resident set size: 7376 pages
% 10.06/2.95  
%------------------------------------------------------------------------------