TSTP Solution File: KLE083+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE083+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n003.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 01:50:02 EDT 2022

% Result   : Theorem 6.93s 2.42s
% Output   : CNFRefutation 6.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;   3 RR)
%            Number of literals    :   19 (  18 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xvh2e4mv/lgb.p',i_0_4) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xvh2e4mv/lgb.p',i_0_2) ).

cnf(i_0_15,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xvh2e4mv/lgb.p',i_0_15) ).

cnf(i_0_9,plain,
    multiplication(antidomain(X1),X1) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xvh2e4mv/lgb.p',i_0_9) ).

cnf(i_0_11,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xvh2e4mv/lgb.p',i_0_11) ).

cnf(i_0_17,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xvh2e4mv/lgb.p',i_0_17) ).

cnf(i_0_13,negated_conjecture,
    multiplication(antidomain(antidomain(esk1_0)),esk1_0) != esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-xvh2e4mv/lgb.p',i_0_13) ).

cnf(c_0_25,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_26,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_27,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_15 ).

cnf(c_0_28,plain,
    multiplication(antidomain(X1),X1) = zero,
    i_0_9 ).

cnf(c_0_29,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    i_0_11 ).

cnf(c_0_31,plain,
    multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_32,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_30,c_0_26]) ).

cnf(c_0_33,plain,
    multiplication(one,X1) = X1,
    i_0_17 ).

cnf(c_0_34,negated_conjecture,
    multiplication(antidomain(antidomain(esk1_0)),esk1_0) != esk1_0,
    i_0_13 ).

cnf(c_0_35,plain,
    multiplication(antidomain(antidomain(X1)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : KLE083+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n003.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Thu Jun 16 15:33:13 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.93/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.93/2.42  # No SInE strategy applied
% 6.93/2.42  # Trying AutoSched0 for 150 seconds
% 6.93/2.42  # AutoSched0-Mode selected heuristic G_____0010_evo
% 6.93/2.42  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.93/2.42  #
% 6.93/2.42  # Preprocessing time       : 0.012 s
% 6.93/2.42  
% 6.93/2.42  # Proof found!
% 6.93/2.42  # SZS status Theorem
% 6.93/2.42  # SZS output start CNFRefutation
% See solution above
% 6.93/2.42  # Training examples: 0 positive, 0 negative
% 6.93/2.42  
% 6.93/2.42  # -------------------------------------------------
% 6.93/2.42  # User time                : 0.018 s
% 6.93/2.42  # System time              : 0.001 s
% 6.93/2.42  # Total time               : 0.020 s
% 6.93/2.42  # Maximum resident set size: 7120 pages
% 6.93/2.42  
%------------------------------------------------------------------------------