TSTP Solution File: SEU406+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU406+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 : Tue Jul 19 08:41:57 EDT 2022

% Result   : Theorem 17.86s 5.53s
% Output   : CNFRefutation 17.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   26 (  10 unt;   8 nHn;  25 RR)
%            Number of literals    :   52 (   4 equ;  29 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_729,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X4 != k3_tarski(k1_enumset1(X3,X3,X2))
    | ~ r2_hidden(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7wmtue_/lgb.p',i_0_729) ).

cnf(i_0_853,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X2 != k5_xboole_0(X4,k1_setfam_1(k1_enumset1(X4,X4,X3)))
    | ~ r2_hidden(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7wmtue_/lgb.p',i_0_853) ).

cnf(i_0_3257,negated_conjecture,
    r2_hidden(esk467_0,k3_tarski(k1_enumset1(esk469_0,esk469_0,esk470_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7wmtue_/lgb.p',i_0_3257) ).

cnf(i_0_3256,negated_conjecture,
    r2_hidden(esk468_0,k3_tarski(k1_enumset1(esk469_0,esk469_0,esk470_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7wmtue_/lgb.p',i_0_3256) ).

cnf(i_0_3253,negated_conjecture,
    ( ~ r2_hidden(esk468_0,esk470_0)
    | ~ r2_hidden(esk467_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7wmtue_/lgb.p',i_0_3253) ).

cnf(i_0_3254,negated_conjecture,
    ( ~ r2_hidden(esk467_0,esk470_0)
    | ~ r2_hidden(esk468_0,esk470_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7wmtue_/lgb.p',i_0_3254) ).

cnf(i_0_3252,negated_conjecture,
    ( ~ r2_hidden(esk467_0,esk470_0)
    | ~ r2_hidden(esk468_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7wmtue_/lgb.p',i_0_3252) ).

cnf(i_0_3255,negated_conjecture,
    ( ~ r2_hidden(esk467_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0))))
    | ~ r2_hidden(esk468_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m7wmtue_/lgb.p',i_0_3255) ).

cnf(c_0_3266,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X4 != k3_tarski(k1_enumset1(X3,X3,X2))
    | ~ r2_hidden(X1,X4) ),
    i_0_729 ).

cnf(c_0_3267,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X2 != k5_xboole_0(X4,k1_setfam_1(k1_enumset1(X4,X4,X3)))
    | ~ r2_hidden(X1,X4) ),
    i_0_853 ).

cnf(c_0_3268,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,k3_tarski(k1_enumset1(X2,X2,X3))) ),
    inference(er,[status(thm)],[c_0_3266]) ).

cnf(c_0_3269,negated_conjecture,
    r2_hidden(esk467_0,k3_tarski(k1_enumset1(esk469_0,esk469_0,esk470_0))),
    i_0_3257 ).

cnf(c_0_3270,negated_conjecture,
    r2_hidden(esk468_0,k3_tarski(k1_enumset1(esk469_0,esk469_0,esk470_0))),
    i_0_3256 ).

cnf(c_0_3271,negated_conjecture,
    ( ~ r2_hidden(esk468_0,esk470_0)
    | ~ r2_hidden(esk467_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0)))) ),
    i_0_3253 ).

cnf(c_0_3272,plain,
    ( r2_hidden(X1,k5_xboole_0(X2,k1_setfam_1(k1_enumset1(X2,X2,X3))))
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X2) ),
    inference(er,[status(thm)],[c_0_3267]) ).

cnf(c_0_3273,negated_conjecture,
    ( r2_hidden(esk467_0,esk470_0)
    | r2_hidden(esk467_0,esk469_0) ),
    inference(spm,[status(thm)],[c_0_3268,c_0_3269]) ).

cnf(c_0_3274,negated_conjecture,
    ( ~ r2_hidden(esk467_0,esk470_0)
    | ~ r2_hidden(esk468_0,esk470_0) ),
    i_0_3254 ).

cnf(c_0_3275,negated_conjecture,
    ( r2_hidden(esk468_0,esk470_0)
    | r2_hidden(esk468_0,esk469_0) ),
    inference(spm,[status(thm)],[c_0_3268,c_0_3270]) ).

cnf(c_0_3276,negated_conjecture,
    ~ r2_hidden(esk468_0,esk470_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3271,c_0_3272]),c_0_3273]),c_0_3274]) ).

cnf(c_0_3277,negated_conjecture,
    ( ~ r2_hidden(esk467_0,esk470_0)
    | ~ r2_hidden(esk468_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0)))) ),
    i_0_3252 ).

cnf(c_0_3278,negated_conjecture,
    r2_hidden(esk468_0,esk469_0),
    inference(sr,[status(thm)],[c_0_3275,c_0_3276]) ).

cnf(c_0_3279,negated_conjecture,
    ~ r2_hidden(esk467_0,esk470_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3277,c_0_3272]),c_0_3278])]),c_0_3276]) ).

cnf(c_0_3280,negated_conjecture,
    ( ~ r2_hidden(esk467_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0))))
    | ~ r2_hidden(esk468_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0)))) ),
    i_0_3255 ).

cnf(c_0_3281,negated_conjecture,
    r2_hidden(esk467_0,esk469_0),
    inference(sr,[status(thm)],[c_0_3273,c_0_3279]) ).

cnf(c_0_3282,negated_conjecture,
    ~ r2_hidden(esk468_0,k5_xboole_0(esk469_0,k1_setfam_1(k1_enumset1(esk469_0,esk469_0,esk470_0)))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3280,c_0_3272]),c_0_3281])]),c_0_3279]) ).

cnf(c_0_3283,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3282,c_0_3272]),c_0_3278])]),c_0_3276]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU406+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jun 19 03:09:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 0.89/1.10  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.89/1.10  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.89/1.10  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.89/1.10  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.86/5.53  # ENIGMATIC: Solved by autoschedule-lgb:
% 17.86/5.53  # No SInE strategy applied
% 17.86/5.53  # Trying AutoSched0 for 149 seconds
% 17.86/5.53  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_S0Y
% 17.86/5.53  # and selection function SelectMaxLComplexAvoidPosPred.
% 17.86/5.53  #
% 17.86/5.53  # Preprocessing time       : 0.029 s
% 17.86/5.53  
% 17.86/5.53  # Proof found!
% 17.86/5.53  # SZS status Theorem
% 17.86/5.53  # SZS output start CNFRefutation
% See solution above
% 17.86/5.53  # Training examples: 0 positive, 0 negative
% 17.86/5.53  
% 17.86/5.53  # -------------------------------------------------
% 17.86/5.53  # User time                : 0.810 s
% 17.86/5.53  # System time              : 0.029 s
% 17.86/5.53  # Total time               : 0.839 s
% 17.86/5.53  # Maximum resident set size: 7124 pages
% 17.86/5.53  
%------------------------------------------------------------------------------