TSTP Solution File: KLE015+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE015+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 01:49:35 EDT 2022

% Result   : Theorem 9.80s 2.52s
% Output   : CNFRefutation 9.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   53 (  41 unt;   0 nHn;  28 RR)
%            Number of literals    :   67 (  43 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   69 (   5 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-o4p0i0bm/lgb.p',i_0_1) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_3) ).

cnf(i_0_24,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_24) ).

cnf(i_0_6,negated_conjecture,
    test(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_6) ).

cnf(i_0_13,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_13) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_2) ).

cnf(i_0_20,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_20) ).

cnf(i_0_14,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_14) ).

cnf(i_0_7,negated_conjecture,
    test(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_7) ).

cnf(i_0_21,plain,
    ( multiplication(X1,X2) = zero
    | ~ complement(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_21) ).

cnf(i_0_9,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_9) ).

cnf(i_0_11,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_11) ).

cnf(i_0_5,negated_conjecture,
    multiplication(multiplication(addition(esk1_0,esk2_0),c(esk1_0)),c(esk2_0)) != zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_5) ).

cnf(i_0_10,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_10) ).

cnf(i_0_8,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_8) ).

cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_4) ).

cnf(i_0_16,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-o4p0i0bm/lgb.p',i_0_16) ).

cnf(c_0_42,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_43,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_44,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    i_0_24 ).

cnf(c_0_45,negated_conjecture,
    test(esk1_0),
    i_0_6 ).

cnf(c_0_46,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_13 ).

cnf(c_0_47,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_48,negated_conjecture,
    ( complement(esk1_0,X1)
    | c(esk1_0) != X1 ),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,plain,
    leq(X1,addition(X1,X2)),
    inference(spm,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_50,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_51,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    i_0_20 ).

cnf(c_0_52,negated_conjecture,
    complement(esk1_0,c(esk1_0)),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_53,plain,
    leq(X1,addition(X2,X1)),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_54,plain,
    addition(esk1_0,c(esk1_0)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_50]) ).

cnf(c_0_55,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    i_0_14 ).

cnf(c_0_56,plain,
    leq(c(esk1_0),one),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,negated_conjecture,
    test(esk2_0),
    i_0_7 ).

cnf(c_0_58,plain,
    ( multiplication(X1,X2) = zero
    | ~ complement(X1,X2) ),
    i_0_21 ).

cnf(c_0_59,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_9 ).

cnf(c_0_60,plain,
    addition(one,c(esk1_0)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_50]) ).

cnf(c_0_61,plain,
    multiplication(one,X1) = X1,
    i_0_11 ).

cnf(c_0_62,negated_conjecture,
    ( complement(esk2_0,X1)
    | c(esk2_0) != X1 ),
    inference(spm,[status(thm)],[c_0_44,c_0_57]) ).

cnf(c_0_63,negated_conjecture,
    multiplication(multiplication(addition(esk1_0,esk2_0),c(esk1_0)),c(esk2_0)) != zero,
    i_0_5 ).

cnf(c_0_64,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    i_0_10 ).

cnf(c_0_65,plain,
    multiplication(esk1_0,c(esk1_0)) = zero,
    inference(spm,[status(thm)],[c_0_58,c_0_52]) ).

cnf(c_0_66,plain,
    multiplication(zero,X1) = zero,
    i_0_8 ).

cnf(c_0_67,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_68,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_16 ).

cnf(c_0_69,plain,
    addition(X1,multiplication(c(esk1_0),X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_61]) ).

cnf(c_0_70,negated_conjecture,
    complement(esk2_0,c(esk2_0)),
    inference(er,[status(thm)],[c_0_62]) ).

cnf(c_0_71,negated_conjecture,
    addition(multiplication(esk1_0,multiplication(c(esk1_0),c(esk2_0))),multiplication(esk2_0,multiplication(c(esk1_0),c(esk2_0)))) != zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_59]) ).

cnf(c_0_72,plain,
    multiplication(esk1_0,multiplication(c(esk1_0),X1)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_73,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_67,c_0_50]) ).

cnf(c_0_74,plain,
    addition(multiplication(X1,X2),multiplication(X1,multiplication(c(esk1_0),X2))) = multiplication(X1,X2),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_75,plain,
    multiplication(esk2_0,c(esk2_0)) = zero,
    inference(spm,[status(thm)],[c_0_58,c_0_70]) ).

cnf(c_0_76,negated_conjecture,
    multiplication(esk2_0,multiplication(c(esk1_0),c(esk2_0))) != zero,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).

cnf(c_0_77,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_73]),c_0_76]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KLE015+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n017.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 : Thu Jun 16 14:26:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.80/2.52  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.80/2.52  # No SInE strategy applied
% 9.80/2.52  # Trying AutoSched0 for 150 seconds
% 9.80/2.52  # AutoSched0-Mode selected heuristic G_E___107_B00_00_F1_PI_AE_Q4_CS_SP_PS_S071I
% 9.80/2.52  # and selection function SelectCQArEqLast.
% 9.80/2.52  #
% 9.80/2.52  # Preprocessing time       : 0.022 s
% 9.80/2.52  # Presaturation interreduction done
% 9.80/2.52  
% 9.80/2.52  # Proof found!
% 9.80/2.52  # SZS status Theorem
% 9.80/2.52  # SZS output start CNFRefutation
% See solution above
% 9.80/2.52  # Training examples: 0 positive, 0 negative
% 9.80/2.52  
% 9.80/2.52  # -------------------------------------------------
% 9.80/2.52  # User time                : 0.202 s
% 9.80/2.52  # System time              : 0.018 s
% 9.80/2.52  # Total time               : 0.220 s
% 9.80/2.52  # Maximum resident set size: 7128 pages
% 9.80/2.52  
%------------------------------------------------------------------------------