TSTP Solution File: LAT376+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT376+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 : Sun Jul 17 04:30:38 EDT 2022

% Result   : Theorem 13.14s 6.69s
% Output   : CNFRefutation 13.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   58 (   5 unt;  43 nHn;  18 RR)
%            Number of literals    :  159 (   2 equ;  55 neg)
%            Maximal clause size   :   23 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-5 aty)
%            Number of functors    :    8 (   8 usr;   1 con; 0-3 aty)
%            Number of variables   :   61 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6971,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | v3_struct_0(X4)
    | r3_yellow20(X3,X4,k15_functor0(X4,X3,X5),X1,X2)
    | ~ l2_altcat_1(X3)
    | ~ l2_altcat_1(X4)
    | ~ v2_altcat_1(X1)
    | ~ v2_altcat_1(X2)
    | ~ v2_altcat_1(X3)
    | ~ v2_altcat_1(X4)
    | ~ v11_altcat_1(X3)
    | ~ v11_altcat_1(X4)
    | ~ v12_altcat_1(X3)
    | ~ v12_altcat_1(X4)
    | ~ m1_altcat_2(X1,X3)
    | ~ m1_altcat_2(X2,X4)
    | ~ v3_altcat_2(X1,X3)
    | ~ v3_altcat_2(X2,X4)
    | ~ m2_functor0(X5,X4,X3)
    | ~ v16_functor0(X5,X4,X3)
    | ~ v21_functor0(X5,X4,X3)
    | ~ r3_yellow20(X4,X3,X5,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_6971) ).

cnf(i_0_7131,plain,
    ( v2_setfam_1(X1)
    | r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_7131) ).

cnf(i_0_1903,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1903) ).

cnf(i_0_1905,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1905) ).

cnf(i_0_2601,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2601) ).

cnf(i_0_2523,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2523) ).

cnf(i_0_2598,plain,
    ( v2_setfam_1(X1)
    | v11_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2598) ).

cnf(i_0_2520,plain,
    ( v2_setfam_1(X1)
    | v11_altcat_1(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2520) ).

cnf(i_0_2597,plain,
    ( v2_setfam_1(X1)
    | v12_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2597) ).

cnf(i_0_2519,plain,
    ( v2_setfam_1(X1)
    | v12_altcat_1(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2519) ).

cnf(i_0_1902,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1902) ).

cnf(i_0_1842,plain,
    ( v2_setfam_1(X1)
    | m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1842) ).

cnf(i_0_2670,plain,
    ( v2_setfam_1(X1)
    | v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2670) ).

cnf(i_0_2669,plain,
    ( v2_setfam_1(X1)
    | v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2669) ).

cnf(i_0_1906,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1906) ).

cnf(i_0_2602,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2602) ).

cnf(i_0_2524,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_2524) ).

cnf(i_0_1885,plain,
    ( v1_xboole_0(X1)
    | m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1885) ).

cnf(i_0_1886,plain,
    ( v1_xboole_0(X1)
    | v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1886) ).

cnf(i_0_1813,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1813) ).

cnf(i_0_1777,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1777) ).

cnf(i_0_1888,plain,
    ( v1_xboole_0(X1)
    | v2_altcat_1(k8_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1888) ).

cnf(i_0_1889,plain,
    ( v1_xboole_0(X1)
    | ~ v3_struct_0(k8_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_1889) ).

cnf(i_0_168,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_168) ).

cnf(i_0_4969,plain,
    ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
    | v2_setfam_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_4969) ).

cnf(i_0_7176,negated_conjecture,
    ~ r3_yellow20(k5_waybel34(esk1003_0),k4_waybel34(esk1003_0),k7_waybel34(esk1003_0),k9_waybel34(esk1003_0),k8_waybel34(esk1003_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_7176) ).

cnf(i_0_7177,negated_conjecture,
    ~ v2_setfam_1(esk1003_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-tj6mw1q7/lgb.p',i_0_7177) ).

cnf(c_0_7205,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | v3_struct_0(X4)
    | r3_yellow20(X3,X4,k15_functor0(X4,X3,X5),X1,X2)
    | ~ l2_altcat_1(X3)
    | ~ l2_altcat_1(X4)
    | ~ v2_altcat_1(X1)
    | ~ v2_altcat_1(X2)
    | ~ v2_altcat_1(X3)
    | ~ v2_altcat_1(X4)
    | ~ v11_altcat_1(X3)
    | ~ v11_altcat_1(X4)
    | ~ v12_altcat_1(X3)
    | ~ v12_altcat_1(X4)
    | ~ m1_altcat_2(X1,X3)
    | ~ m1_altcat_2(X2,X4)
    | ~ v3_altcat_2(X1,X3)
    | ~ v3_altcat_2(X2,X4)
    | ~ m2_functor0(X5,X4,X3)
    | ~ v16_functor0(X5,X4,X3)
    | ~ v21_functor0(X5,X4,X3)
    | ~ r3_yellow20(X4,X3,X5,X2,X1) ),
    i_0_6971 ).

cnf(c_0_7206,plain,
    ( v2_setfam_1(X1)
    | r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
    i_0_7131 ).

cnf(c_0_7207,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    i_0_1903 ).

cnf(c_0_7208,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    i_0_1905 ).

cnf(c_0_7209,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k5_waybel34(X1)) ),
    i_0_2601 ).

cnf(c_0_7210,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k4_waybel34(X1)) ),
    i_0_2523 ).

cnf(c_0_7211,plain,
    ( v2_setfam_1(X1)
    | v11_altcat_1(k5_waybel34(X1)) ),
    i_0_2598 ).

cnf(c_0_7212,plain,
    ( v2_setfam_1(X1)
    | v11_altcat_1(k4_waybel34(X1)) ),
    i_0_2520 ).

cnf(c_0_7213,plain,
    ( v2_setfam_1(X1)
    | v12_altcat_1(k5_waybel34(X1)) ),
    i_0_2597 ).

cnf(c_0_7214,plain,
    ( v2_setfam_1(X1)
    | v12_altcat_1(k4_waybel34(X1)) ),
    i_0_2519 ).

cnf(c_0_7215,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    i_0_1902 ).

cnf(c_0_7216,plain,
    ( v2_setfam_1(X1)
    | m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    i_0_1842 ).

cnf(c_0_7217,plain,
    ( v2_setfam_1(X1)
    | v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    i_0_2670 ).

cnf(c_0_7218,plain,
    ( v2_setfam_1(X1)
    | v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    i_0_2669 ).

cnf(c_0_7219,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    i_0_1906 ).

cnf(c_0_7220,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k5_waybel34(X1)) ),
    i_0_2602 ).

cnf(c_0_7221,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k4_waybel34(X1)) ),
    i_0_2524 ).

cnf(c_0_7222,plain,
    ( v2_setfam_1(X1)
    | v3_struct_0(k8_waybel34(X1))
    | r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),k9_waybel34(X1),k8_waybel34(X1))
    | ~ m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
    | ~ v2_altcat_1(k8_waybel34(X1))
    | ~ l2_altcat_1(k4_waybel34(X1))
    | ~ l2_altcat_1(k5_waybel34(X1))
    | ~ v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7205,c_0_7206]),c_0_7207]),c_0_7208]),c_0_7209]),c_0_7210]),c_0_7211]),c_0_7212]),c_0_7213]),c_0_7214]),c_0_7215]),c_0_7216]),c_0_7217]),c_0_7218]),c_0_7219]),c_0_7220]),c_0_7221]) ).

cnf(c_0_7223,plain,
    ( v1_xboole_0(X1)
    | m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
    i_0_1885 ).

cnf(c_0_7224,plain,
    ( v1_xboole_0(X1)
    | v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
    i_0_1886 ).

cnf(c_0_7225,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    i_0_1813 ).

cnf(c_0_7226,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k4_waybel34(X1)) ),
    i_0_1777 ).

cnf(c_0_7227,plain,
    ( v1_xboole_0(X1)
    | v2_altcat_1(k8_waybel34(X1)) ),
    i_0_1888 ).

cnf(c_0_7228,plain,
    ( v1_xboole_0(X1)
    | ~ v3_struct_0(k8_waybel34(X1)) ),
    i_0_1889 ).

cnf(c_0_7229,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    i_0_168 ).

cnf(c_0_7230,plain,
    ( v2_setfam_1(X1)
    | r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)),k9_waybel34(X1),k8_waybel34(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7222,c_0_7223]),c_0_7224]),c_0_7225]),c_0_7226]),c_0_7227]),c_0_7228]),c_0_7229]) ).

cnf(c_0_7231,plain,
    ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
    | v2_setfam_1(X1) ),
    i_0_4969 ).

cnf(c_0_7232,negated_conjecture,
    ~ r3_yellow20(k5_waybel34(esk1003_0),k4_waybel34(esk1003_0),k7_waybel34(esk1003_0),k9_waybel34(esk1003_0),k8_waybel34(esk1003_0)),
    i_0_7176 ).

cnf(c_0_7233,plain,
    ( v2_setfam_1(X1)
    | r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k9_waybel34(X1),k8_waybel34(X1)) ),
    inference(spm,[status(thm)],[c_0_7230,c_0_7231]) ).

cnf(c_0_7234,negated_conjecture,
    ~ v2_setfam_1(esk1003_0),
    i_0_7177 ).

cnf(c_0_7235,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7232,c_0_7233]),c_0_7234]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT376+3 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n004.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 : Wed Jun 29 03:34:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.98/1.17  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.98/1.17  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.98/1.17  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.98/1.17  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.14/6.69  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.14/6.69  # No SInE strategy applied
% 13.14/6.69  # Trying AutoSched0 for 148 seconds
% 13.14/6.69  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 13.14/6.69  # and selection function SelectComplexExceptUniqMaxHorn.
% 13.14/6.69  #
% 13.14/6.69  # Preprocessing time       : 0.029 s
% 13.14/6.69  # Presaturation interreduction done
% 13.14/6.69  
% 13.14/6.69  # Proof found!
% 13.14/6.69  # SZS status Theorem
% 13.14/6.69  # SZS output start CNFRefutation
% See solution above
% 13.14/6.69  # Training examples: 0 positive, 0 negative
% 13.14/6.69  
% 13.14/6.69  # -------------------------------------------------
% 13.14/6.69  # User time                : 0.072 s
% 13.14/6.69  # System time              : 0.006 s
% 13.14/6.69  # Total time               : 0.078 s
% 13.14/6.69  # Maximum resident set size: 7160 pages
% 13.14/6.69  
%------------------------------------------------------------------------------