TSTP Solution File: SWW473+7 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW473+7 : TPTP v8.1.0. Released v5.3.0.
% 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 00:02:23 EDT 2022

% Result   : Theorem 22.26s 4.75s
% Output   : CNFRefutation 22.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  10 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-4 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1448,plain,
    ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)))
    | ~ hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X5)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irz4bbdn/input.p',i_0_1448) ).

cnf(i_0_69,hypothesis,
    hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irz4bbdn/input.p',i_0_69) ).

cnf(i_0_76,plain,
    ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)),X4))
    | ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))
    | ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irz4bbdn/input.p',i_0_76) ).

cnf(i_0_66,hypothesis,
    hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irz4bbdn/input.p',i_0_66) ).

cnf(i_0_71,negated_conjecture,
    ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irz4bbdn/input.p',i_0_71) ).

cnf(c_0_1454,plain,
    ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(X2,X1,X3,X4)),hAPP(fun(X2,bool),fun(X1,bool),hAPP(fun(X2,X1),fun(fun(X2,bool),fun(X1,bool)),image(X2,X1),X3),X5)))
    | ~ hBOOL(hAPP(fun(X2,bool),bool,hAPP(X2,fun(fun(X2,bool),bool),member(X2),X4),X5)) ),
    i_0_1448 ).

cnf(c_0_1455,hypothesis,
    hBOOL(hAPP(fun(pname,bool),bool,hAPP(pname,fun(fun(pname,bool),bool),member(pname),pn),u)),
    i_0_69 ).

cnf(c_0_1456,plain,
    ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),X2),X3)),X4))
    | ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),X2),X4))
    | ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),X4)) ),
    i_0_76 ).

cnf(c_0_1457,hypothesis,
    hBOOL(hAPP(fun(X1,bool),bool,hAPP(X1,fun(fun(X1,bool),bool),member(X1),hAPP(pname,X1,X2,pn)),hAPP(fun(pname,bool),fun(X1,bool),hAPP(fun(pname,X1),fun(fun(pname,bool),fun(X1,bool)),image(pname,X1),X2),u))),
    inference(spm,[status(thm)],[c_0_1454,c_0_1455]) ).

cnf(c_0_1458,plain,
    ( hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),hAPP(fun(X1,bool),fun(X1,bool),hAPP(X1,fun(fun(X1,bool),fun(X1,bool)),insert(X1),hAPP(pname,X1,X2,pn)),X3)),hAPP(fun(pname,bool),fun(X1,bool),hAPP(fun(pname,X1),fun(fun(pname,bool),fun(X1,bool)),image(pname,X1),X2),u)))
    | ~ hBOOL(hAPP(fun(X1,bool),bool,hAPP(fun(X1,bool),fun(fun(X1,bool),bool),ord_less_eq(fun(X1,bool)),X3),hAPP(fun(pname,bool),fun(X1,bool),hAPP(fun(pname,X1),fun(fun(pname,bool),fun(X1,bool)),image(pname,X1),X2),u))) ),
    inference(spm,[status(thm)],[c_0_1456,c_0_1457]) ).

cnf(c_0_1459,hypothesis,
    hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),g),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
    i_0_66 ).

cnf(c_0_1460,negated_conjecture,
    ~ hBOOL(hAPP(fun(x_a,bool),bool,hAPP(fun(x_a,bool),fun(fun(x_a,bool),bool),ord_less_eq(fun(x_a,bool)),hAPP(fun(x_a,bool),fun(x_a,bool),hAPP(x_a,fun(fun(x_a,bool),fun(x_a,bool)),insert(x_a),hAPP(pname,x_a,mgt_call,pn)),g)),hAPP(fun(pname,bool),fun(x_a,bool),hAPP(fun(pname,x_a),fun(fun(pname,bool),fun(x_a,bool)),image(pname,x_a),mgt_call),u))),
    i_0_71 ).

cnf(c_0_1461,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_1458,c_0_1459]),c_0_1460]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW473+7 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun  6 02:40:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.38/0.55  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.55  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.38/0.55  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.38/0.55  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 22.26/4.75  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 22.26/4.75  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 48; version: 991; iters: 150)
% 22.26/4.75  # Preprocessing time       : 1.234 s
% 22.26/4.75  # Presaturation interreduction done
% 22.26/4.75  
% 22.26/4.75  # Proof found!
% 22.26/4.75  # SZS status Theorem
% 22.26/4.75  # SZS output start CNFRefutation
% See solution above
% 22.26/4.75  # Training examples: 0 positive, 0 negative
% 22.26/4.75  
% 22.26/4.75  # -------------------------------------------------
% 22.26/4.75  # User time                : 1.511 s
% 22.26/4.75  # System time              : 0.115 s
% 22.26/4.75  # Total time               : 1.626 s
% 22.26/4.75  # ...preprocessing         : 1.234 s
% 22.26/4.75  # ...main loop             : 0.392 s
% 22.26/4.75  # Maximum resident set size: 171316 pages
% 22.26/4.75  
%------------------------------------------------------------------------------