TSTP Solution File: GEO450+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : GEO450+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 03:45:48 EDT 2022

% Result   : Theorem 11.65s 6.44s
% Output   : CNFRefutation 11.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   4 RR)
%            Number of literals    :   12 (  11 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2543,plain,
    s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),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))))))) = s(cart(cart(real,X1),X2),X3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wk_600yr/lgb.p',i_0_2543) ).

cnf(i_0_3154,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wk_600yr/lgb.p',i_0_3154) ).

cnf(i_0_2540,negated_conjecture,
    s(cart(cart(real,esk915_0),esk916_0),i(s(fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0)),i(s(fun(cart(cart(real,esk915_0),esk916_0),fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0))),matrixu_sub),s(cart(cart(real,esk915_0),esk916_0),i(s(fun(num,cart(cart(real,esk915_0),esk916_0)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,esk915_0),esk916_0),esk917_0))) != s(cart(cart(real,esk915_0),esk916_0),i(s(fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0)),matrixu_neg),s(cart(cart(real,esk915_0),esk916_0),esk917_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wk_600yr/lgb.p',i_0_2540) ).

cnf(i_0_2535,plain,
    s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),matrixu_neg),s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),s(cart(cart(real,X1),X2),X3))),s(cart(cart(real,X1),X2),X4))))) = s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),s(cart(cart(real,X1),X2),X4))),s(cart(cart(real,X1),X2),X3))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wk_600yr/lgb.p',i_0_2535) ).

cnf(c_0_3159,plain,
    s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),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))))))) = s(cart(cart(real,X1),X2),X3),
    i_0_2543 ).

cnf(c_0_3160,plain,
    s(num,i(s(fun(num,num),numeral),s(num,X1))) = s(num,X1),
    i_0_3154 ).

cnf(c_0_3161,negated_conjecture,
    s(cart(cart(real,esk915_0),esk916_0),i(s(fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0)),i(s(fun(cart(cart(real,esk915_0),esk916_0),fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0))),matrixu_sub),s(cart(cart(real,esk915_0),esk916_0),i(s(fun(num,cart(cart(real,esk915_0),esk916_0)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,esk915_0),esk916_0),esk917_0))) != s(cart(cart(real,esk915_0),esk916_0),i(s(fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0)),matrixu_neg),s(cart(cart(real,esk915_0),esk916_0),esk917_0))),
    i_0_2540 ).

cnf(c_0_3162,plain,
    s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),matrixu_neg),s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),s(cart(cart(real,X1),X2),X3))),s(cart(cart(real,X1),X2),X4))))) = s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),s(cart(cart(real,X1),X2),X4))),s(cart(cart(real,X1),X2),X3))),
    i_0_2535 ).

cnf(c_0_3163,plain,
    s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),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))))) = s(cart(cart(real,X1),X2),X3),
    inference(rw,[status(thm)],[c_0_3159,c_0_3160]) ).

cnf(c_0_3164,negated_conjecture,
    s(cart(cart(real,esk915_0),esk916_0),i(s(fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0)),i(s(fun(cart(cart(real,esk915_0),esk916_0),fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0))),matrixu_sub),s(cart(cart(real,esk915_0),esk916_0),i(s(fun(num,cart(cart(real,esk915_0),esk916_0)),mat),s(num,u_0))))),s(cart(cart(real,esk915_0),esk916_0),esk917_0))) != s(cart(cart(real,esk915_0),esk916_0),i(s(fun(cart(cart(real,esk915_0),esk916_0),cart(cart(real,esk915_0),esk916_0)),matrixu_neg),s(cart(cart(real,esk915_0),esk916_0),esk917_0))),
    inference(rw,[status(thm)],[c_0_3161,c_0_3160]) ).

cnf(c_0_3165,plain,
    s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),i(s(fun(cart(cart(real,X1),X2),fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2))),matrixu_sub),s(cart(cart(real,X1),X2),i(s(fun(num,cart(cart(real,X1),X2)),mat),s(num,u_0))))),s(cart(cart(real,X1),X2),X3))) = s(cart(cart(real,X1),X2),i(s(fun(cart(cart(real,X1),X2),cart(cart(real,X1),X2)),matrixu_neg),s(cart(cart(real,X1),X2),X3))),
    inference(spm,[status(thm)],[c_0_3162,c_0_3163]) ).

cnf(c_0_3166,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3164,c_0_3165])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO450+1 : TPTP v8.1.0. Released v7.0.0.
% 0.06/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jun 18 11:50:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.67/0.85  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.85  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.67/0.85  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.67/0.85  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.65/6.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.65/6.44  # No SInE strategy applied
% 11.65/6.44  # Trying AutoSched0 for 148 seconds
% 11.65/6.44  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.65/6.44  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.65/6.44  #
% 11.65/6.44  # Preprocessing time       : 0.012 s
% 11.65/6.44  # Presaturation interreduction done
% 11.65/6.44  
% 11.65/6.44  # Proof found!
% 11.65/6.44  # SZS status Theorem
% 11.65/6.44  # SZS output start CNFRefutation
% See solution above
% 11.65/6.44  # Training examples: 0 positive, 0 negative
% 11.65/6.44  
% 11.65/6.44  # -------------------------------------------------
% 11.65/6.44  # User time                : 0.050 s
% 11.65/6.44  # System time              : 0.008 s
% 11.65/6.44  # Total time               : 0.058 s
% 11.65/6.44  # Maximum resident set size: 7596 pages
% 11.65/6.44  
%------------------------------------------------------------------------------