TSTP Solution File: LAT376+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT376+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 04:30:37 EDT 2022

% Result   : Theorem 13.19s 6.41s
% Output   : CNFRefutation 13.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   27
% Syntax   : Number of clauses     :   59 (   6 unt;  42 nHn;  21 RR)
%            Number of literals    :  175 (   2 equ;  69 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   :   62 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7174,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-1dh9usla/lgb.p',i_0_7174) ).

cnf(i_0_5359,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-1dh9usla/lgb.p',i_0_5359) ).

cnf(i_0_2663,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2663) ).

cnf(i_0_2585,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2585) ).

cnf(i_0_2660,plain,
    ( v2_setfam_1(X1)
    | v11_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2660) ).

cnf(i_0_2582,plain,
    ( v2_setfam_1(X1)
    | v11_altcat_1(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2582) ).

cnf(i_0_2659,plain,
    ( v2_setfam_1(X1)
    | v12_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2659) ).

cnf(i_0_2581,plain,
    ( v2_setfam_1(X1)
    | v12_altcat_1(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2581) ).

cnf(i_0_1841,plain,
    ( v2_setfam_1(X1)
    | m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1841) ).

cnf(i_0_2723,plain,
    ( v2_setfam_1(X1)
    | v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2723) ).

cnf(i_0_2722,plain,
    ( v2_setfam_1(X1)
    | v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2722) ).

cnf(i_0_2664,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2664) ).

cnf(i_0_2586,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_2586) ).

cnf(i_0_7324,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-1dh9usla/lgb.p',i_0_7324) ).

cnf(i_0_1904,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1904) ).

cnf(i_0_1906,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1906) ).

cnf(i_0_1903,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1903) ).

cnf(i_0_1907,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1907) ).

cnf(i_0_7365,negated_conjecture,
    ~ r3_yellow20(k5_waybel34(esk950_0),k4_waybel34(esk950_0),k7_waybel34(esk950_0),k9_waybel34(esk950_0),k8_waybel34(esk950_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_7365) ).

cnf(i_0_7366,negated_conjecture,
    ~ v2_setfam_1(esk950_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_7366) ).

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-1dh9usla/lgb.p',i_0_1886) ).

cnf(i_0_1816,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1816) ).

cnf(i_0_1778,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k4_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1778) ).

cnf(i_0_1888,plain,
    ( v1_xboole_0(X1)
    | v2_altcat_1(k8_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1888) ).

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-1dh9usla/lgb.p',i_0_1885) ).

cnf(i_0_1889,plain,
    ( v1_xboole_0(X1)
    | ~ v3_struct_0(k8_waybel34(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_1889) ).

cnf(i_0_141,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1dh9usla/lgb.p',i_0_141) ).

cnf(c_0_7394,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_7174 ).

cnf(c_0_7395,plain,
    ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
    | v2_setfam_1(X1) ),
    i_0_5359 ).

cnf(c_0_7396,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k5_waybel34(X1)) ),
    i_0_2663 ).

cnf(c_0_7397,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k4_waybel34(X1)) ),
    i_0_2585 ).

cnf(c_0_7398,plain,
    ( v2_setfam_1(X1)
    | v11_altcat_1(k5_waybel34(X1)) ),
    i_0_2660 ).

cnf(c_0_7399,plain,
    ( v2_setfam_1(X1)
    | v11_altcat_1(k4_waybel34(X1)) ),
    i_0_2582 ).

cnf(c_0_7400,plain,
    ( v2_setfam_1(X1)
    | v12_altcat_1(k5_waybel34(X1)) ),
    i_0_2659 ).

cnf(c_0_7401,plain,
    ( v2_setfam_1(X1)
    | v12_altcat_1(k4_waybel34(X1)) ),
    i_0_2581 ).

cnf(c_0_7402,plain,
    ( v2_setfam_1(X1)
    | m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    i_0_1841 ).

cnf(c_0_7403,plain,
    ( v2_setfam_1(X1)
    | v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    i_0_2723 ).

cnf(c_0_7404,plain,
    ( v2_setfam_1(X1)
    | v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ),
    i_0_2722 ).

cnf(c_0_7405,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k5_waybel34(X1)) ),
    i_0_2664 ).

cnf(c_0_7406,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k4_waybel34(X1)) ),
    i_0_2586 ).

cnf(c_0_7407,plain,
    ( v2_setfam_1(X1)
    | v3_struct_0(X2)
    | v3_struct_0(X3)
    | r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),X2,X3)
    | ~ m1_altcat_2(X3,k4_waybel34(X1))
    | ~ m1_altcat_2(X2,k5_waybel34(X1))
    | ~ v2_altcat_1(X3)
    | ~ v2_altcat_1(X2)
    | ~ l2_altcat_1(k4_waybel34(X1))
    | ~ l2_altcat_1(k5_waybel34(X1))
    | ~ v3_altcat_2(X3,k4_waybel34(X1))
    | ~ v3_altcat_2(X2,k5_waybel34(X1))
    | ~ r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),X3,X2) ),
    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_7394,c_0_7395]),c_0_7396]),c_0_7397]),c_0_7398]),c_0_7399]),c_0_7400]),c_0_7401]),c_0_7402]),c_0_7403]),c_0_7404]),c_0_7405]),c_0_7406]) ).

cnf(c_0_7408,plain,
    ( v2_setfam_1(X1)
    | r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k8_waybel34(X1),k9_waybel34(X1)) ),
    i_0_7324 ).

cnf(c_0_7409,plain,
    ( v2_setfam_1(X1)
    | v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    i_0_1904 ).

cnf(c_0_7410,plain,
    ( v2_setfam_1(X1)
    | v2_altcat_1(k9_waybel34(X1)) ),
    i_0_1906 ).

cnf(c_0_7411,plain,
    ( v2_setfam_1(X1)
    | m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ),
    i_0_1903 ).

cnf(c_0_7412,plain,
    ( v2_setfam_1(X1)
    | ~ v3_struct_0(k9_waybel34(X1)) ),
    i_0_1907 ).

cnf(c_0_7413,negated_conjecture,
    ~ r3_yellow20(k5_waybel34(esk950_0),k4_waybel34(esk950_0),k7_waybel34(esk950_0),k9_waybel34(esk950_0),k8_waybel34(esk950_0)),
    i_0_7365 ).

cnf(c_0_7414,plain,
    ( v2_setfam_1(X1)
    | v3_struct_0(k8_waybel34(X1))
    | r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_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(spm,[status(thm)],[c_0_7407,c_0_7408]),c_0_7409]),c_0_7410]),c_0_7411]),c_0_7412]) ).

cnf(c_0_7415,negated_conjecture,
    ~ v2_setfam_1(esk950_0),
    i_0_7366 ).

cnf(c_0_7416,negated_conjecture,
    ( v3_struct_0(k8_waybel34(esk950_0))
    | ~ m1_altcat_2(k8_waybel34(esk950_0),k4_waybel34(esk950_0))
    | ~ v2_altcat_1(k8_waybel34(esk950_0))
    | ~ l2_altcat_1(k4_waybel34(esk950_0))
    | ~ l2_altcat_1(k5_waybel34(esk950_0))
    | ~ v3_altcat_2(k8_waybel34(esk950_0),k4_waybel34(esk950_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7413,c_0_7414]),c_0_7415]) ).

cnf(c_0_7417,plain,
    ( v1_xboole_0(X1)
    | v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
    i_0_1886 ).

cnf(c_0_7418,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k5_waybel34(X1)) ),
    i_0_1816 ).

cnf(c_0_7419,plain,
    ( v1_xboole_0(X1)
    | l2_altcat_1(k4_waybel34(X1)) ),
    i_0_1778 ).

cnf(c_0_7420,plain,
    ( v1_xboole_0(X1)
    | v2_altcat_1(k8_waybel34(X1)) ),
    i_0_1888 ).

cnf(c_0_7421,plain,
    ( v1_xboole_0(X1)
    | m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ),
    i_0_1885 ).

cnf(c_0_7422,plain,
    ( v1_xboole_0(X1)
    | ~ v3_struct_0(k8_waybel34(X1)) ),
    i_0_1889 ).

cnf(c_0_7423,plain,
    ( v2_setfam_1(X1)
    | ~ v1_xboole_0(X1) ),
    i_0_141 ).

cnf(c_0_7424,plain,
    v1_xboole_0(esk950_0),
    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_7416,c_0_7417]),c_0_7418]),c_0_7419]),c_0_7420]),c_0_7421]),c_0_7422]) ).

cnf(c_0_7425,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_7423,c_0_7424]),c_0_7415]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : LAT376+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n019.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun 30 04:39:57 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 0.63/0.83  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.83  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.63/0.83  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.63/0.83  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.19/6.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 13.19/6.41  # No SInE strategy applied
% 13.19/6.41  # Trying AutoSched0 for 148 seconds
% 13.19/6.41  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S0Y
% 13.19/6.41  # and selection function SelectMaxLComplexAvoidPosPred.
% 13.19/6.41  #
% 13.19/6.41  # Preprocessing time       : 0.028 s
% 13.19/6.41  # Presaturation interreduction done
% 13.19/6.41  
% 13.19/6.41  # Proof found!
% 13.19/6.41  # SZS status Theorem
% 13.19/6.41  # SZS output start CNFRefutation
% See solution above
% 13.19/6.41  # Training examples: 0 positive, 0 negative
% 13.19/6.41  
% 13.19/6.41  # -------------------------------------------------
% 13.19/6.41  # User time                : 0.127 s
% 13.19/6.41  # System time              : 0.013 s
% 13.19/6.41  # Total time               : 0.140 s
% 13.19/6.41  # Maximum resident set size: 7148 pages
% 13.19/6.41  
%------------------------------------------------------------------------------