TSTP Solution File: KLE009+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE009+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 01:49:30 EDT 2022

% Result   : Theorem 8.33s 2.61s
% Output   : CNFRefutation 8.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   31 (  19 unt;   0 nHn;  19 RR)
%            Number of literals    :   45 (  20 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   38 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_24,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/lgb.p',i_0_24) ).

cnf(i_0_20,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/lgb.p',i_0_20) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/lgb.p',i_0_2) ).

cnf(i_0_5,negated_conjecture,
    ( ~ leq(one,addition(addition(addition(multiplication(esk1_0,esk2_0),multiplication(esk1_0,c(esk2_0))),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))))
    | ~ leq(addition(addition(addition(multiplication(esk1_0,esk2_0),multiplication(esk1_0,c(esk2_0))),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))),one) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/lgb.p',i_0_5) ).

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-6q7d3_6g/lgb.p',i_0_16) ).

cnf(i_0_1,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/lgb.p',i_0_1) ).

cnf(i_0_7,negated_conjecture,
    test(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/lgb.p',i_0_7) ).

cnf(i_0_12,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/lgb.p',i_0_12) ).

cnf(i_0_6,negated_conjecture,
    test(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/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-6q7d3_6g/lgb.p',i_0_13) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6q7d3_6g/lgb.p',i_0_3) ).

cnf(c_0_36,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    i_0_24 ).

cnf(c_0_37,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    i_0_20 ).

cnf(c_0_38,plain,
    ( complement(X1,c(X1))
    | ~ test(X1) ),
    inference(er,[status(thm)],[c_0_36]) ).

cnf(c_0_39,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_40,negated_conjecture,
    ( ~ leq(one,addition(addition(addition(multiplication(esk1_0,esk2_0),multiplication(esk1_0,c(esk2_0))),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))))
    | ~ leq(addition(addition(addition(multiplication(esk1_0,esk2_0),multiplication(esk1_0,c(esk2_0))),multiplication(c(esk1_0),esk2_0)),multiplication(c(esk1_0),c(esk2_0))),one) ),
    i_0_5 ).

cnf(c_0_41,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    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,c(X1)) = one
    | ~ test(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_44,negated_conjecture,
    test(esk2_0),
    i_0_7 ).

cnf(c_0_45,negated_conjecture,
    ( ~ leq(one,addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(c(esk1_0),c(esk2_0)),multiplication(esk1_0,addition(esk2_0,c(esk2_0))))))
    | ~ leq(addition(multiplication(c(esk1_0),esk2_0),addition(multiplication(c(esk1_0),c(esk2_0)),multiplication(esk1_0,addition(esk2_0,c(esk2_0))))),one) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41]),c_0_39]),c_0_42]),c_0_39]),c_0_41]),c_0_39]),c_0_42]),c_0_39]) ).

cnf(c_0_46,negated_conjecture,
    addition(esk2_0,c(esk2_0)) = one,
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_47,plain,
    multiplication(X1,one) = X1,
    i_0_12 ).

cnf(c_0_48,plain,
    addition(X1,addition(X2,X3)) = addition(X2,addition(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_39]),c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    test(esk1_0),
    i_0_6 ).

cnf(c_0_50,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_13 ).

cnf(c_0_51,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_52,negated_conjecture,
    ( ~ leq(one,addition(esk1_0,c(esk1_0)))
    | ~ leq(addition(esk1_0,c(esk1_0)),one) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_39]),c_0_48]),c_0_41]),c_0_46]),c_0_47]),c_0_46]),c_0_47]),c_0_39]),c_0_48]),c_0_41]),c_0_46]),c_0_47]) ).

cnf(c_0_53,negated_conjecture,
    addition(esk1_0,c(esk1_0)) = one,
    inference(spm,[status(thm)],[c_0_43,c_0_49]) ).

cnf(c_0_54,plain,
    leq(X1,X1),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,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_52,c_0_53]),c_0_54]),c_0_53]),c_0_54])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : KLE009+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Thu Jun 16 15:55:16 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.23/0.47  # ENIGMATIC: Selected SinE mode:
% 0.23/0.48  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.23/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.23/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.33/2.61  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.33/2.61  # No SInE strategy applied
% 8.33/2.61  # Trying AutoSched0 for 150 seconds
% 8.33/2.61  # AutoSched0-Mode selected heuristic G_E___024_B31_F1_PI_AE_Q4_CS_SP_S2S
% 8.33/2.61  # and selection function SelectNewComplexAHP.
% 8.33/2.61  #
% 8.33/2.61  # Preprocessing time       : 0.023 s
% 8.33/2.61  
% 8.33/2.61  # Proof found!
% 8.33/2.61  # SZS status Theorem
% 8.33/2.61  # SZS output start CNFRefutation
% See solution above
% 8.33/2.61  # Training examples: 0 positive, 0 negative
% 8.33/2.61  
% 8.33/2.61  # -------------------------------------------------
% 8.33/2.61  # User time                : 0.029 s
% 8.33/2.61  # System time              : 0.006 s
% 8.33/2.61  # Total time               : 0.034 s
% 8.33/2.61  # Maximum resident set size: 7128 pages
% 8.33/2.61  
%------------------------------------------------------------------------------