TSTP Solution File: GEO474+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO474+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 03:45:54 EDT 2022

% Result   : Theorem 12.43s 6.36s
% Output   : CNFRefutation 12.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   7 RR)
%            Number of literals    :   13 (  12 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3171,plain,
    ( s(num,i(s(fun(cart(cart(real,X1),X2),num),rank),s(cart(cart(real,X1),X2),X3))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))
    | s(cart(cart(real,X1),X2),X3) != s(cart(cart(real,X1),X2),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hwltf9by/lgb.p',i_0_3171) ).

cnf(i_0_2992,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hwltf9by/lgb.p',i_0_2992) ).

cnf(i_0_3168,negated_conjecture,
    s(num,i(s(fun(cart(cart(real,esk1259_0),esk1260_0),num),rank),s(cart(cart(real,esk1259_0),esk1260_0),i(s(fun(num,cart(cart(real,esk1259_0),esk1260_0)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(num,i(s(fun(num,num),numeral),s(num,u_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hwltf9by/lgb.p',i_0_3168) ).

cnf(c_0_3175,plain,
    ( s(num,i(s(fun(cart(cart(real,X1),X2),num),rank),s(cart(cart(real,X1),X2),X3))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))
    | s(cart(cart(real,X1),X2),X3) != s(cart(cart(real,X1),X2),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
    i_0_3171 ).

cnf(c_0_3176,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    i_0_2992 ).

cnf(c_0_3177,negated_conjecture,
    s(num,i(s(fun(cart(cart(real,esk1259_0),esk1260_0),num),rank),s(cart(cart(real,esk1259_0),esk1260_0),i(s(fun(num,cart(cart(real,esk1259_0),esk1260_0)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(num,i(s(fun(num,num),numeral),s(num,u_0))),
    i_0_3168 ).

cnf(c_0_3178,plain,
    ( s(num,i(s(fun(cart(cart(real,X1),X2),num),rank),s(cart(cart(real,X1),X2),X3))) = s(num,u_0)
    | s(cart(cart(real,X1),X2),X3) != s(cart(cart(real,X1),X2),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,u_0))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3175,c_0_3176]),c_0_3176]) ).

cnf(c_0_3179,negated_conjecture,
    s(num,i(s(fun(cart(cart(real,esk1259_0),esk1260_0),num),rank),s(cart(cart(real,esk1259_0),esk1260_0),i(s(fun(num,cart(cart(real,esk1259_0),esk1260_0)),mat),s(num,u_0))))) != s(num,u_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3177,c_0_3176]),c_0_3176]) ).

cnf(c_0_3180,plain,
    s(num,i(s(fun(cart(cart(real,X1),X2),num),rank),s(cart(cart(real,X1),X2),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,u_0))))) = s(num,u_0),
    inference(er,[status(thm)],[c_0_3178]) ).

cnf(c_0_3181,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3179,c_0_3180])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GEO474+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n008.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 18 10:11:39 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected SinE mode:
% 0.69/0.92  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.92  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.69/0.92  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.69/0.92  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.43/6.36  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.43/6.36  # No SInE strategy applied
% 12.43/6.36  # Trying AutoSched0 for 148 seconds
% 12.43/6.36  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.43/6.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 12.43/6.36  #
% 12.43/6.36  # Preprocessing time       : 0.024 s
% 12.43/6.36  # Presaturation interreduction done
% 12.43/6.36  
% 12.43/6.36  # Proof found!
% 12.43/6.36  # SZS status Theorem
% 12.43/6.36  # SZS output start CNFRefutation
% See solution above
% 12.43/6.36  # Training examples: 0 positive, 0 negative
% 12.43/6.36  
% 12.43/6.36  # -------------------------------------------------
% 12.43/6.36  # User time                : 0.029 s
% 12.43/6.36  # System time              : 0.007 s
% 12.43/6.36  # Total time               : 0.036 s
% 12.43/6.36  # Maximum resident set size: 8028 pages
% 12.43/6.36  
%------------------------------------------------------------------------------