TSTP Solution File: KLE146+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE146+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 : Sun Jul 17 01:50:34 EDT 2022

% Result   : Theorem 7.97s 2.49s
% Output   : CNFRefutation 7.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  15 unt;   0 nHn;   6 RR)
%            Number of literals    :   19 (  14 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pwwhdloh/lgb.p',i_0_1) ).

cnf(i_0_7,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pwwhdloh/lgb.p',i_0_7) ).

cnf(i_0_9,plain,
    addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pwwhdloh/lgb.p',i_0_9) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pwwhdloh/lgb.p',i_0_2) ).

cnf(i_0_6,negated_conjecture,
    ~ leq(one,strong_iteration(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pwwhdloh/lgb.p',i_0_6) ).

cnf(i_0_15,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-pwwhdloh/lgb.p',i_0_15) ).

cnf(c_0_22,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_23,plain,
    addition(X1,X1) = X1,
    i_0_7 ).

cnf(c_0_24,plain,
    addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
    i_0_9 ).

cnf(c_0_25,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_26,negated_conjecture,
    ~ leq(one,strong_iteration(esk1_0)),
    i_0_6 ).

cnf(c_0_27,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_15 ).

cnf(c_0_28,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
    inference(rw,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    addition(one,strong_iteration(esk1_0)) != strong_iteration(esk1_0),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    addition(one,strong_iteration(X1)) = strong_iteration(X1),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : KLE146+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.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 : Thu Jun 16 16:32:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.97/2.49  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.97/2.49  # No SInE strategy applied
% 7.97/2.49  # Trying AutoSched0 for 150 seconds
% 7.97/2.49  # AutoSched0-Mode selected heuristic G_____0010_evo
% 7.97/2.49  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.97/2.49  #
% 7.97/2.49  # Preprocessing time       : 0.023 s
% 7.97/2.49  
% 7.97/2.49  # Proof found!
% 7.97/2.49  # SZS status Theorem
% 7.97/2.49  # SZS output start CNFRefutation
% See solution above
% 7.97/2.49  # Training examples: 0 positive, 0 negative
% 7.97/2.49  
% 7.97/2.49  # -------------------------------------------------
% 7.97/2.49  # User time                : 0.025 s
% 7.97/2.49  # System time              : 0.008 s
% 7.97/2.49  # Total time               : 0.032 s
% 7.97/2.49  # Maximum resident set size: 7128 pages
% 7.97/2.49  
%------------------------------------------------------------------------------