TSTP Solution File: SWW258+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW258+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 00:01:51 EDT 2022

% Result   : Theorem 9.32s 2.92s
% Output   : CNFRefutation 9.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   28 (  19 unt;   3 nHn;  21 RR)
%            Number of literals    :   45 (   7 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   23 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_277,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_277) ).

cnf(i_0_1396,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-x5us0ccc/lgb.p',i_0_1396) ).

cnf(i_0_676,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_676) ).

cnf(i_0_212,plain,
    class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_212) ).

cnf(i_0_1409,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_1409) ).

cnf(i_0_846,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_846) ).

cnf(i_0_1626,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_1626) ).

cnf(i_0_258,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_258) ).

cnf(i_0_1623,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_1623) ).

cnf(i_0_23,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_23) ).

cnf(i_0_1565,plain,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != v_w____,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-x5us0ccc/lgb.p',i_0_1565) ).

cnf(c_0_1638,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
    i_0_277 ).

cnf(c_0_1639,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_1396 ).

cnf(c_0_1640,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))),
    inference(rw,[status(thm)],[c_0_1638,c_0_1639]) ).

cnf(c_0_1641,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))
    | ~ class_Fields_Olinordered__field__inverse__zero(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    i_0_676 ).

cnf(c_0_1642,plain,
    class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
    i_0_212 ).

cnf(c_0_1643,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1640,c_0_1641]),c_0_1642])]) ).

cnf(c_0_1644,plain,
    ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X2))
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
    | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
    i_0_1409 ).

cnf(c_0_1645,plain,
    c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
    i_0_846 ).

cnf(c_0_1646,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1643,c_0_1644]),c_0_1645])]) ).

cnf(c_0_1647,plain,
    ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
    | ~ class_Rings_Olinordered__semidom(X1)
    | ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
    i_0_1626 ).

cnf(c_0_1648,plain,
    class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
    i_0_258 ).

cnf(c_0_1649,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(X2)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    i_0_1623 ).

cnf(c_0_1650,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    i_0_23 ).

cnf(c_0_1651,plain,
    ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1646,c_0_1647]),c_0_1648])]) ).

cnf(c_0_1652,plain,
    ( X1 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1)) ),
    inference(spm,[status(thm)],[c_0_1649,c_0_1650]) ).

cnf(c_0_1653,plain,
    c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) != v_w____,
    i_0_1565 ).

cnf(c_0_1654,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1651,c_0_1652]),c_0_1653]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWW258+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n023.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 10:25:56 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  # ENIGMATIC: Selected SinE mode:
% 0.18/0.52  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.52  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.52  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.32/2.92  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.32/2.92  # No SInE strategy applied
% 9.32/2.92  # Trying AutoSched0 for 150 seconds
% 9.32/2.92  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.32/2.92  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.32/2.92  #
% 9.32/2.92  # Preprocessing time       : 0.026 s
% 9.32/2.92  # Presaturation interreduction done
% 9.32/2.92  
% 9.32/2.92  # Proof found!
% 9.32/2.92  # SZS status Theorem
% 9.32/2.92  # SZS output start CNFRefutation
% See solution above
% 9.32/2.92  # Training examples: 0 positive, 0 negative
% 9.32/2.92  
% 9.32/2.92  # -------------------------------------------------
% 9.32/2.92  # User time                : 0.037 s
% 9.32/2.92  # System time              : 0.008 s
% 9.32/2.92  # Total time               : 0.045 s
% 9.32/2.92  # Maximum resident set size: 7392 pages
% 9.32/2.92  
%------------------------------------------------------------------------------