TSTP Solution File: GEO455+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO455+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 : Sat Jul 16 03:45:49 EDT 2022

% Result   : Theorem 88.03s 19.72s
% Output   : CNFRefutation 88.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (  19 unt;   0 nHn;   3 RR)
%            Number of literals    :   25 (  24 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  13 con; 0-4 aty)
%            Number of variables   :   35 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1190,plain,
    s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p3hnafv1/input.p',i_0_1190) ).

cnf(i_0_3587,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p3hnafv1/input.p',i_0_3587) ).

cnf(i_0_5422,plain,
    s(real,i(s(fun(num,real),i(s(fun(cart(real,X1),fun(num,real)),d_),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),s(num,X4))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,X1),fun(num,real)),d_),s(cart(real,X1),X2))),s(num,X4))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,X1),fun(num,real)),d_),s(cart(real,X1),X3))),s(num,X4))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p3hnafv1/input.p',i_0_5422) ).

cnf(i_0_502,plain,
    ( s(X1,i(s(fun(X2,X1),X3),s(X2,esk195_4(X1,X2,X3,X4)))) = s(X1,X4)
    | s(X2,i(s(fun(X1,X2),X5),s(X1,i(s(fun(X2,X1),X3),s(X2,esk194_4(X1,X2,X3,X5)))))) != s(X2,esk194_4(X1,X2,X3,X5))
    | s(X1,i(s(fun(X2,X1),X3),s(X2,i(s(fun(X1,X2),X5),s(X1,esk193_4(X1,X2,X3,X5)))))) != s(X1,esk193_4(X1,X2,X3,X5)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p3hnafv1/input.p',i_0_502) ).

cnf(i_0_2840,plain,
    s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))))) = s(cart(real,n10),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p3hnafv1/input.p',i_0_2840) ).

cnf(i_0_2841,plain,
    s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))) = s(real,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p3hnafv1/input.p',i_0_2841) ).

cnf(i_0_2846,negated_conjecture,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_sub),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk1117_0))))),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk1118_0))))) != s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,esk1117_0))),s(real,esk1118_0))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-p3hnafv1/input.p',i_0_2846) ).

cnf(c_0_5430,plain,
    s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),numeral),s(num,i(s(fun(num,num),bit1),s(num,u_0))))))) = s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))),
    i_0_1190 ).

cnf(c_0_5431,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    i_0_3587 ).

cnf(c_0_5432,plain,
    s(real,i(s(fun(num,real),i(s(fun(cart(real,n10),fun(num,real)),d_),s(cart(real,n10),X1))),s(num,i(s(fun(num,num),bit1),s(num,u_0))))) = s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))),
    inference(rw,[status(thm)],[c_0_5430,c_0_5431]) ).

cnf(c_0_5433,plain,
    s(real,i(s(fun(num,real),i(s(fun(cart(real,X1),fun(num,real)),d_),s(cart(real,X1),i(s(fun(cart(real,X1),cart(real,X1)),i(s(fun(cart(real,X1),fun(cart(real,X1),cart(real,X1))),vectoru_sub),s(cart(real,X1),X2))),s(cart(real,X1),X3))))),s(num,X4))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(num,real),i(s(fun(cart(real,X1),fun(num,real)),d_),s(cart(real,X1),X2))),s(num,X4))))),s(real,i(s(fun(num,real),i(s(fun(cart(real,X1),fun(num,real)),d_),s(cart(real,X1),X3))),s(num,X4))))),
    i_0_5422 ).

cnf(c_0_5434,plain,
    ( s(X1,i(s(fun(X2,X1),X3),s(X2,esk195_4(X1,X2,X3,X4)))) = s(X1,X4)
    | s(X2,i(s(fun(X1,X2),X5),s(X1,i(s(fun(X2,X1),X3),s(X2,esk194_4(X1,X2,X3,X5)))))) != s(X2,esk194_4(X1,X2,X3,X5))
    | s(X1,i(s(fun(X2,X1),X3),s(X2,i(s(fun(X1,X2),X5),s(X1,esk193_4(X1,X2,X3,X5)))))) != s(X1,esk193_4(X1,X2,X3,X5)) ),
    i_0_502 ).

cnf(c_0_5435,plain,
    s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))))) = s(cart(real,n10),X1),
    i_0_2840 ).

cnf(c_0_5436,plain,
    s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))) = s(real,X1),
    i_0_2841 ).

cnf(c_0_5437,plain,
    s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_sub),s(cart(real,n10),X1))),s(cart(real,n10),X2))))) = s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))))),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X2))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5432,c_0_5433]),c_0_5432]),c_0_5432]) ).

cnf(c_0_5438,plain,
    s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),esk195_4(real,cart(real,n10),drop,X1)))) = s(real,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5434,c_0_5435]),c_0_5436])]) ).

cnf(c_0_5439,plain,
    s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X1))))),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X2))))))) = s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_sub),s(cart(real,n10),X1))),s(cart(real,n10),X2))),
    inference(spm,[status(thm)],[c_0_5435,c_0_5437]) ).

cnf(c_0_5440,plain,
    s(cart(real,n10),esk195_4(real,cart(real,n10),drop,X1)) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))),
    inference(spm,[status(thm)],[c_0_5435,c_0_5438]) ).

cnf(c_0_5441,negated_conjecture,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_sub),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk1117_0))))),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,esk1118_0))))) != s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,esk1117_0))),s(real,esk1118_0))))),
    i_0_2846 ).

cnf(c_0_5442,plain,
    s(cart(real,n10),i(s(fun(cart(real,n10),cart(real,n10)),i(s(fun(cart(real,n10),fun(cart(real,n10),cart(real,n10))),vectoru_sub),s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,X1))))),s(cart(real,n10),X2))) = s(cart(real,n10),i(s(fun(real,cart(real,n10)),lift),s(real,i(s(fun(real,real),i(s(fun(real,fun(real,real)),realu_sub),s(real,X1))),s(real,i(s(fun(cart(real,n10),real),drop),s(cart(real,n10),X2))))))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5439,c_0_5440]),c_0_5436]) ).

cnf(c_0_5443,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5441,c_0_5442]),c_0_5436])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : GEO455+1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.08/0.29  % Computer : n016.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29  % CPULimit : 300
% 0.08/0.29  % WCLimit  : 600
% 0.08/0.29  % DateTime : Fri Jun 17 16:27:52 EDT 2022
% 0.08/0.29  % CPUTime  : 
% 0.13/0.37  # ENIGMATIC: Selected SinE mode:
% 0.67/0.91  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.67/0.91  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.67/0.91  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.67/0.91  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 88.03/19.72  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 88.03/19.72  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 29; version: 991; iters: 150)
% 88.03/19.72  # Preprocessing time       : 8.809 s
% 88.03/19.72  
% 88.03/19.72  # Proof found!
% 88.03/19.72  # SZS status Theorem
% 88.03/19.72  # SZS output start CNFRefutation
% See solution above
% 88.03/19.72  # Training examples: 0 positive, 0 negative
% 88.03/19.72  
% 88.03/19.72  # -------------------------------------------------
% 88.03/19.72  # User time                : 8.866 s
% 88.03/19.72  # System time              : 0.175 s
% 88.03/19.72  # Total time               : 9.041 s
% 88.03/19.72  # ...preprocessing         : 8.809 s
% 88.03/19.72  # ...main loop             : 0.232 s
% 88.03/19.72  # Maximum resident set size: 214288 pages
% 88.03/19.72  
%------------------------------------------------------------------------------