TSTP Solution File: SWW204+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW204+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 00:01:44 EDT 2022

% Result   : Theorem 8.83s 2.88s
% Output   : CNFRefutation 8.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   24 (   2 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   16 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1313,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sxzk8vng/lgb.p',i_0_1313) ).

cnf(i_0_402,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sxzk8vng/lgb.p',i_0_402) ).

cnf(i_0_1134,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X1,X2)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sxzk8vng/lgb.p',i_0_1134) ).

cnf(i_0_494,plain,
    hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sxzk8vng/lgb.p',i_0_494) ).

cnf(i_0_264,negated_conjecture,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sxzk8vng/lgb.p',i_0_264) ).

cnf(i_0_22,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-sxzk8vng/lgb.p',i_0_22) ).

cnf(c_0_1320,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X3),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3)) ),
    i_0_1313 ).

cnf(c_0_1321,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
    i_0_402 ).

cnf(c_0_1322,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X1,X2)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    i_0_1134 ).

cnf(c_0_1323,plain,
    hAPP(c_Complex_ORe,c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    i_0_494 ).

cnf(c_0_1324,negated_conjecture,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    i_0_264 ).

cnf(c_0_1325,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X2)))) ),
    inference(spm,[status(thm)],[c_0_1320,c_0_1321]) ).

cnf(c_0_1326,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),c_RealVector_Onorm__class_Onorm(X1,X2)))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(rw,[status(thm)],[c_0_1322,c_0_1323]) ).

cnf(c_0_1327,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    i_0_22 ).

cnf(c_0_1328,negated_conjecture,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Complex_ORe,c_Complex_Oii)),v_r)),
    inference(rw,[status(thm)],[c_0_1324,c_0_1323]) ).

cnf(c_0_1329,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1325,c_0_1326]),c_0_1327])]),c_0_1328]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW204+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sat Jun  4 10:40:15 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.52  # Parsing /export/starexec/sandbox/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
% 8.83/2.88  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.83/2.88  # No SInE strategy applied
% 8.83/2.88  # Trying AutoSched0 for 150 seconds
% 8.83/2.88  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 8.83/2.88  # and selection function SelectCQIPrecWNTNp.
% 8.83/2.88  #
% 8.83/2.88  # Preprocessing time       : 0.028 s
% 8.83/2.88  # Presaturation interreduction done
% 8.83/2.88  
% 8.83/2.88  # Proof found!
% 8.83/2.88  # SZS status Theorem
% 8.83/2.88  # SZS output start CNFRefutation
% See solution above
% 8.83/2.88  # Training examples: 0 positive, 0 negative
% 8.83/2.88  
% 8.83/2.88  # -------------------------------------------------
% 8.83/2.88  # User time                : 0.092 s
% 8.83/2.88  # System time              : 0.009 s
% 8.83/2.88  # Total time               : 0.101 s
% 8.83/2.88  # Maximum resident set size: 7416 pages
% 8.83/2.88  
%------------------------------------------------------------------------------