TSTP Solution File: KLE139+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE139+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 01:50:30 EDT 2022

% Result   : Theorem 14.93s 3.38s
% Output   : CNFRefutation 14.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   26 (  21 unt;   0 nHn;   6 RR)
%            Number of literals    :   31 (  21 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_1) ).

cnf(i_0_20,plain,
    addition(one,multiplication(star(X1),X1)) = star(X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_20) ).

cnf(i_0_5,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_5) ).

cnf(i_0_6,negated_conjecture,
    ( ~ leq(strong_iteration(esk1_0),addition(multiplication(strong_iteration(esk1_0),esk1_0),one))
    | ~ leq(addition(multiplication(strong_iteration(esk1_0),esk1_0),one),strong_iteration(esk1_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_6) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_2) ).

cnf(i_0_10,plain,
    addition(star(X1),multiplication(strong_iteration(X1),zero)) = strong_iteration(X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_10) ).

cnf(i_0_12,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_12) ).

cnf(i_0_11,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_11) ).

cnf(i_0_15,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_15) ).

cnf(i_0_7,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-wbl56ur5/input.p',i_0_7) ).

cnf(c_0_31,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_32,plain,
    addition(one,multiplication(star(X1),X1)) = star(X1),
    i_0_20 ).

cnf(c_0_33,plain,
    addition(one,addition(multiplication(star(X1),X1),X2)) = addition(star(X1),X2),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_34,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_5 ).

cnf(c_0_35,negated_conjecture,
    ( ~ leq(strong_iteration(esk1_0),addition(multiplication(strong_iteration(esk1_0),esk1_0),one))
    | ~ leq(addition(multiplication(strong_iteration(esk1_0),esk1_0),one),strong_iteration(esk1_0)) ),
    i_0_6 ).

cnf(c_0_36,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_37,plain,
    addition(one,multiplication(addition(star(X1),X2),X1)) = addition(star(X1),multiplication(X2,X1)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    addition(star(X1),multiplication(strong_iteration(X1),zero)) = strong_iteration(X1),
    i_0_10 ).

cnf(c_0_39,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    i_0_12 ).

cnf(c_0_40,plain,
    multiplication(zero,X1) = zero,
    i_0_11 ).

cnf(c_0_41,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_15 ).

cnf(c_0_42,plain,
    addition(X1,X1) = X1,
    i_0_7 ).

cnf(c_0_43,negated_conjecture,
    ( ~ leq(strong_iteration(esk1_0),addition(one,multiplication(strong_iteration(esk1_0),esk1_0)))
    | ~ leq(addition(one,multiplication(strong_iteration(esk1_0),esk1_0)),strong_iteration(esk1_0)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_36]) ).

cnf(c_0_44,plain,
    addition(one,multiplication(strong_iteration(X1),X1)) = strong_iteration(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40]),c_0_38]) ).

cnf(c_0_45,plain,
    leq(X1,X1),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_44]),c_0_45])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : KLE139+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Thu Jun 16 12:03:13 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 0.21/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 14.93/3.38  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 14.93/3.38  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 34; version: 991; iters: 150)
% 14.93/3.38  # Preprocessing time       : 0.818 s
% 14.93/3.38  # Presaturation interreduction done
% 14.93/3.38  
% 14.93/3.38  # Proof found!
% 14.93/3.38  # SZS status Theorem
% 14.93/3.38  # SZS output start CNFRefutation
% See solution above
% 14.93/3.38  # Training examples: 0 positive, 0 negative
% 14.93/3.38  
% 14.93/3.38  # -------------------------------------------------
% 14.93/3.38  # User time                : 0.785 s
% 14.93/3.38  # System time              : 0.110 s
% 14.93/3.38  # Total time               : 0.895 s
% 14.93/3.38  # ...preprocessing         : 0.818 s
% 14.93/3.38  # ...main loop             : 0.077 s
% 14.93/3.38  # Maximum resident set size: 167412 pages
% 14.93/3.38  
%------------------------------------------------------------------------------