TSTP Solution File: GEO445+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO445+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 03:45:46 EDT 2022

% Result   : Theorem 17.39s 10.16s
% Output   : CNFRefutation 17.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   14 (   4 unt;   6 nHn;   8 RR)
%            Number of literals    :   30 (  29 equ;  12 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5191,negated_conjecture,
    ( s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),esk2124_0)
    | s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2123_0))),s(cart(real,esk2122_0),X1))) = s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fqv4w7as/lgb.p',i_0_5191) ).

cnf(i_0_1132,plain,
    s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X3))) = s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X3))),s(cart(real,X1),X2))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fqv4w7as/lgb.p',i_0_1132) ).

cnf(i_0_5184,plain,
    ( s(cart(real,X1),X2) = s(cart(real,X1),X3)
    | s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2))) != s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X3))),s(cart(real,X1),X3)))
    | s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2))) != s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fqv4w7as/lgb.p',i_0_5184) ).

cnf(i_0_5192,negated_conjecture,
    ( s(cart(real,esk2122_0),esk2123_0) != s(cart(real,esk2122_0),esk2124_0)
    | s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2123_0))),s(cart(real,esk2122_0),esk2125_0))) != s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),esk2125_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fqv4w7as/lgb.p',i_0_5192) ).

cnf(c_0_5197,negated_conjecture,
    ( s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),esk2124_0)
    | s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2123_0))),s(cart(real,esk2122_0),X1))) = s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),X1))) ),
    i_0_5191 ).

cnf(c_0_5198,plain,
    s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X3))) = s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X3))),s(cart(real,X1),X2))),
    i_0_1132 ).

cnf(c_0_5199,plain,
    ( s(cart(real,X1),X2) = s(cart(real,X1),X3)
    | s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2))) != s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X3))),s(cart(real,X1),X3)))
    | s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X2))) != s(real,i(s(fun(cart(real,X1),real),i(s(fun(cart(real,X1),fun(cart(real,X1),real)),dot),s(cart(real,X1),X2))),s(cart(real,X1),X3))) ),
    i_0_5184 ).

cnf(c_0_5200,negated_conjecture,
    ( s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),X1))),s(cart(real,esk2122_0),esk2123_0))) = s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),X1)))
    | s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),esk2124_0) ),
    inference(spm,[status(thm)],[c_0_5197,c_0_5198]) ).

cnf(c_0_5201,negated_conjecture,
    ( s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),esk2124_0)
    | s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),X1)
    | s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2123_0))),s(cart(real,esk2122_0),X1))) != s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),esk2123_0)))
    | s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),esk2123_0))) != s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),X1))),s(cart(real,esk2122_0),X1))) ),
    inference(spm,[status(thm)],[c_0_5199,c_0_5197]) ).

cnf(c_0_5202,plain,
    ( s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),X1))),s(cart(real,esk2122_0),esk2123_0))) = s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),X1))),s(cart(real,esk2122_0),esk2124_0)))
    | s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),esk2124_0) ),
    inference(spm,[status(thm)],[c_0_5198,c_0_5200]) ).

cnf(c_0_5203,plain,
    ( s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),esk2124_0)
    | s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),X1)
    | s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2123_0))),s(cart(real,esk2122_0),X1))) != s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),esk2124_0)))
    | s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),esk2124_0))) != s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),X1))),s(cart(real,esk2122_0),X1))) ),
    inference(spm,[status(thm)],[c_0_5201,c_0_5202]) ).

cnf(c_0_5204,negated_conjecture,
    ( s(cart(real,esk2122_0),esk2123_0) != s(cart(real,esk2122_0),esk2124_0)
    | s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2123_0))),s(cart(real,esk2122_0),esk2125_0))) != s(real,i(s(fun(cart(real,esk2122_0),real),i(s(fun(cart(real,esk2122_0),fun(cart(real,esk2122_0),real)),dot),s(cart(real,esk2122_0),esk2124_0))),s(cart(real,esk2122_0),esk2125_0))) ),
    i_0_5192 ).

cnf(c_0_5205,plain,
    s(cart(real,esk2122_0),esk2123_0) = s(cart(real,esk2122_0),esk2124_0),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_5203]),c_0_5198]),c_0_5200]) ).

cnf(c_0_5206,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5204,c_0_5205]),c_0_5205])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO445+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.35  % Computer : n029.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 600
% 0.12/0.35  % DateTime : Sat Jun 18 02:19:00 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.71/0.91  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.91  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.71/0.91  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.71/0.91  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.39/10.16  # ENIGMATIC: Solved by autoschedule-lgb:
% 17.39/10.16  # No SInE strategy applied
% 17.39/10.16  # Trying AutoSched0 for 147 seconds
% 17.39/10.16  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 17.39/10.16  # and selection function SelectComplexExceptUniqMaxHorn.
% 17.39/10.16  #
% 17.39/10.16  # Preprocessing time       : 0.024 s
% 17.39/10.16  # Presaturation interreduction done
% 17.39/10.16  
% 17.39/10.16  # Proof found!
% 17.39/10.16  # SZS status Theorem
% 17.39/10.16  # SZS output start CNFRefutation
% See solution above
% 17.39/10.16  # Training examples: 0 positive, 0 negative
% 17.39/10.16  
% 17.39/10.16  # -------------------------------------------------
% 17.39/10.16  # User time                : 0.034 s
% 17.39/10.16  # System time              : 0.006 s
% 17.39/10.16  # Total time               : 0.040 s
% 17.39/10.16  # Maximum resident set size: 7128 pages
% 17.39/10.16  
%------------------------------------------------------------------------------