TSTP Solution File: SWW232+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW232+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 00:01:47 EDT 2022

% Result   : Theorem 9.60s 3.12s
% Output   : CNFRefutation 9.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   15 (   8 unt;   4 nHn;  12 RR)
%            Number of literals    :   24 (   4 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   2 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-3 aty)
%            Number of variables   :   16 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_256,hypothesis,
    ( v_thesis____
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk1_1(X1)))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pe59hiry/lgb.p',i_0_256) ).

cnf(i_0_258,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pe59hiry/lgb.p',i_0_258) ).

cnf(i_0_1248,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_cs____
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,v_cs____)),X3)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk30_2(X2,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pe59hiry/lgb.p',i_0_1248) ).

cnf(i_0_611,plain,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_cs____,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pe59hiry/lgb.p',i_0_611) ).

cnf(i_0_257,hypothesis,
    ( v_thesis____
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk1_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pe59hiry/lgb.p',i_0_257) ).

cnf(c_0_1254,hypothesis,
    ( v_thesis____
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk1_1(X1)))) ),
    i_0_256 ).

cnf(c_0_1255,negated_conjecture,
    ~ v_thesis____,
    i_0_258 ).

cnf(c_0_1256,plain,
    ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_cs____
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,v_cs____)),X3)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk30_2(X2,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)) ),
    i_0_1248 ).

cnf(c_0_1257,plain,
    c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_cs____,
    i_0_611 ).

cnf(c_0_1258,hypothesis,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_c____,v_cs____)),esk1_1(X1)))),
    inference(sr,[status(thm)],[c_0_1254,c_0_1255]) ).

cnf(c_0_1259,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,X2,v_cs____)),X3)))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk30_2(X2,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X3)) ),
    inference(sr,[status(thm)],[c_0_1256,c_0_1257]) ).

cnf(c_0_1260,hypothesis,
    ( v_thesis____
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk1_1(X1))) ),
    i_0_257 ).

cnf(c_0_1261,hypothesis,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk30_2(v_c____,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_da____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk1_1(X1))),
    inference(spm,[status(thm)],[c_0_1258,c_0_1259]) ).

cnf(c_0_1262,hypothesis,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,esk1_1(X1))),
    inference(sr,[status(thm)],[c_0_1260,c_0_1255]) ).

cnf(c_0_1263,hypothesis,
    $false,
    inference(spm,[status(thm)],[c_0_1261,c_0_1262]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWW232+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun  4 13:45:23 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected SinE mode:
% 0.22/0.53  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.53  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.53  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.53  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.60/3.12  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.60/3.12  # No SInE strategy applied
% 9.60/3.12  # Trying AutoSched0 for 150 seconds
% 9.60/3.12  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_S0Y
% 9.60/3.12  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.60/3.12  #
% 9.60/3.12  # Preprocessing time       : 0.031 s
% 9.60/3.12  
% 9.60/3.12  # Proof found!
% 9.60/3.12  # SZS status Theorem
% 9.60/3.12  # SZS output start CNFRefutation
% See solution above
% 9.60/3.12  # Training examples: 0 positive, 0 negative
% 9.60/3.12  
% 9.60/3.12  # -------------------------------------------------
% 9.60/3.12  # User time                : 0.049 s
% 9.60/3.12  # System time              : 0.006 s
% 9.60/3.12  # Total time               : 0.056 s
% 9.60/3.12  # Maximum resident set size: 7388 pages
% 9.60/3.12  
%------------------------------------------------------------------------------