TSTP Solution File: SWW217+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW217+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 00:01:45 EDT 2022

% Result   : Theorem 8.71s 2.91s
% Output   : CNFRefutation 8.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  15 unt;   2 nHn;  18 RR)
%            Number of literals    :   35 (   2 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-3 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_272,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2tip6711/lgb.p',i_0_272) ).

cnf(i_0_1438,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2tip6711/lgb.p',i_0_1438) ).

cnf(i_0_610,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2tip6711/lgb.p',i_0_610) ).

cnf(i_0_1435,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2tip6711/lgb.p',i_0_1435) ).

cnf(i_0_263,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2tip6711/lgb.p',i_0_263) ).

cnf(i_0_846,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2tip6711/lgb.p',i_0_846) ).

cnf(i_0_221,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2tip6711/lgb.p',i_0_221) ).

cnf(i_0_845,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2tip6711/lgb.p',i_0_845) ).

cnf(c_0_1447,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____)),
    i_0_272 ).

cnf(c_0_1448,plain,
    hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X2),X1),
    i_0_1438 ).

cnf(c_0_1449,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_da____),v_m____),v_e),
    i_0_610 ).

cnf(c_0_1450,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3,X2)
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X3) ),
    i_0_1435 ).

cnf(c_0_1451,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
    inference(rw,[status(thm)],[c_0_1447,c_0_1448]) ).

cnf(c_0_1452,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)))),v_e),
    i_0_263 ).

cnf(c_0_1453,plain,
    ( c_Orderings_Oord__class_Oless(X1,X2,X3)
    | c_Orderings_Oord__class_Oless__eq(X1,X3,X2)
    | ~ class_Orderings_Olinorder(X1) ),
    i_0_846 ).

cnf(c_0_1454,plain,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    i_0_221 ).

cnf(c_0_1455,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,X2,X3)
    | ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X2) ),
    i_0_845 ).

cnf(c_0_1456,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____),v_e),
    inference(rw,[status(thm)],[c_0_1449,c_0_1448]) ).

cnf(c_0_1457,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))) ),
    inference(spm,[status(thm)],[c_0_1450,c_0_1451]) ).

cnf(c_0_1458,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1452,c_0_1453]),c_0_1454])]) ).

cnf(c_0_1459,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_e,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),v_da____)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1455,c_0_1456]),c_0_1454])]) ).

cnf(c_0_1460,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1457,c_0_1458]),c_0_1459]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWW217+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n028.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun  5 19:25:29 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected SinE mode:
% 0.37/0.54  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.37/0.54  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.37/0.54  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.71/2.91  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.71/2.91  # No SInE strategy applied
% 8.71/2.91  # Trying AutoSched0 for 150 seconds
% 8.71/2.91  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 8.71/2.91  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.71/2.91  #
% 8.71/2.91  # Preprocessing time       : 0.016 s
% 8.71/2.91  # Presaturation interreduction done
% 8.71/2.91  
% 8.71/2.91  # Proof found!
% 8.71/2.91  # SZS status Theorem
% 8.71/2.91  # SZS output start CNFRefutation
% See solution above
% 8.71/2.91  # Training examples: 0 positive, 0 negative
% 8.71/2.91  
% 8.71/2.91  # -------------------------------------------------
% 8.71/2.91  # User time                : 0.043 s
% 8.71/2.91  # System time              : 0.006 s
% 8.71/2.91  # Total time               : 0.049 s
% 8.71/2.91  # Maximum resident set size: 7404 pages
% 8.71/2.91  
%------------------------------------------------------------------------------