TSTP Solution File: KLE064+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE064+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 01:49:56 EDT 2022

% Result   : Theorem 8.38s 2.56s
% Output   : CNFRefutation 8.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   61 (  61 unt;   0 nHn;  13 RR)
%            Number of literals    :   61 (  60 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   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   :   80 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_6) ).

cnf(i_0_15,plain,
    multiplication(one,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_15) ).

cnf(i_0_9,plain,
    domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_9) ).

cnf(i_0_7,plain,
    addition(domain(X1),one) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_7) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_2) ).

cnf(i_0_5,plain,
    addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_5) ).

cnf(i_0_16,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/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-epq09mgj/lgb.p',i_0_1) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_3) ).

cnf(i_0_11,negated_conjecture,
    addition(domain(esk1_0),domain(esk2_0)) = domain(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_11) ).

cnf(i_0_20,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_20) ).

cnf(i_0_13,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_13) ).

cnf(i_0_10,negated_conjecture,
    addition(esk1_0,multiplication(domain(esk2_0),esk1_0)) != multiplication(domain(esk2_0),esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-epq09mgj/lgb.p',i_0_10) ).

cnf(c_0_34,plain,
    domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
    i_0_6 ).

cnf(c_0_35,plain,
    multiplication(one,X1) = X1,
    i_0_15 ).

cnf(c_0_36,plain,
    domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
    i_0_9 ).

cnf(c_0_37,plain,
    domain(domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_35]) ).

cnf(c_0_38,plain,
    addition(domain(X1),one) = one,
    i_0_7 ).

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

cnf(c_0_40,plain,
    domain(addition(X1,domain(X2))) = domain(addition(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_36]) ).

cnf(c_0_41,plain,
    addition(one,domain(X1)) = one,
    inference(rw,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_42,plain,
    domain(addition(one,X1)) = domain(one),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_43,plain,
    addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
    i_0_5 ).

cnf(c_0_44,plain,
    multiplication(X1,one) = X1,
    i_0_16 ).

cnf(c_0_45,plain,
    domain(addition(X1,one)) = domain(one),
    inference(spm,[status(thm)],[c_0_42,c_0_39]) ).

cnf(c_0_46,plain,
    domain(one) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_41]) ).

cnf(c_0_47,plain,
    addition(addition(X1,X2),X3) = addition(X1,addition(X2,X3)),
    i_0_1 ).

cnf(c_0_48,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_49,negated_conjecture,
    addition(domain(esk1_0),domain(esk2_0)) = domain(esk2_0),
    i_0_11 ).

cnf(c_0_50,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_20 ).

cnf(c_0_51,plain,
    domain(addition(X1,one)) = one,
    inference(rw,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_52,plain,
    addition(X1,addition(X1,X2)) = addition(X1,X2),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_53,negated_conjecture,
    domain(addition(esk1_0,esk2_0)) = domain(esk2_0),
    inference(rw,[status(thm)],[c_0_49,c_0_36]) ).

cnf(c_0_54,plain,
    domain(addition(domain(X1),X2)) = domain(addition(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_36]) ).

cnf(c_0_55,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_39]) ).

cnf(c_0_56,plain,
    domain(multiplication(X1,addition(X2,one))) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_51]),c_0_44]) ).

cnf(c_0_57,plain,
    addition(X1,addition(X2,X1)) = addition(X2,X1),
    inference(spm,[status(thm)],[c_0_52,c_0_39]) ).

cnf(c_0_58,negated_conjecture,
    addition(esk1_0,addition(esk2_0,multiplication(domain(esk2_0),addition(esk1_0,esk2_0)))) = multiplication(domain(esk2_0),addition(esk1_0,esk2_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_53]),c_0_47]) ).

cnf(c_0_59,negated_conjecture,
    domain(addition(esk1_0,addition(esk2_0,X1))) = domain(addition(esk2_0,X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_53]),c_0_54]),c_0_47]) ).

cnf(c_0_60,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_13 ).

cnf(c_0_61,plain,
    domain(addition(X1,multiplication(domain(X1),X2))) = domain(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_37]) ).

cnf(c_0_62,plain,
    addition(esk2_0,multiplication(domain(esk2_0),addition(esk1_0,esk2_0))) = multiplication(domain(esk2_0),addition(esk1_0,esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_47]),c_0_50]),c_0_47]),c_0_57]),c_0_52]) ).

cnf(c_0_63,negated_conjecture,
    domain(multiplication(X1,addition(esk1_0,esk2_0))) = domain(multiplication(X1,esk2_0)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_53]),c_0_34]) ).

cnf(c_0_64,plain,
    domain(addition(esk1_0,multiplication(domain(esk2_0),esk2_0))) = domain(multiplication(domain(esk2_0),esk2_0)),
    inference(spm,[status(thm)],[c_0_59,c_0_43]) ).

cnf(c_0_65,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(X2,one),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_35]),c_0_39]) ).

cnf(c_0_66,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(one,X2)),
    inference(spm,[status(thm)],[c_0_50,c_0_44]) ).

cnf(c_0_67,plain,
    domain(multiplication(domain(esk2_0),esk2_0)) = domain(esk2_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).

cnf(c_0_68,plain,
    domain(addition(esk1_0,addition(multiplication(domain(esk2_0),esk2_0),X1))) = domain(addition(multiplication(domain(esk2_0),esk2_0),X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_64]),c_0_36]),c_0_47]) ).

cnf(c_0_69,plain,
    multiplication(domain(X1),X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_65]),c_0_39]),c_0_41]),c_0_35]) ).

cnf(c_0_70,plain,
    addition(X1,multiplication(X2,X1)) = multiplication(addition(one,X2),X1),
    inference(spm,[status(thm)],[c_0_60,c_0_35]) ).

cnf(c_0_71,plain,
    addition(X1,multiplication(X1,domain(X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_41]),c_0_44]) ).

cnf(c_0_72,plain,
    domain(addition(esk1_0,multiplication(domain(esk2_0),esk2_0))) = domain(esk2_0),
    inference(rw,[status(thm)],[c_0_64,c_0_67]) ).

cnf(c_0_73,plain,
    domain(addition(esk1_0,multiplication(domain(esk2_0),addition(esk2_0,X1)))) = domain(multiplication(domain(esk2_0),addition(esk2_0,X1))),
    inference(spm,[status(thm)],[c_0_68,c_0_50]) ).

cnf(c_0_74,plain,
    multiplication(addition(domain(X1),X2),X1) = addition(X1,multiplication(X2,X1)),
    inference(spm,[status(thm)],[c_0_60,c_0_69]) ).

cnf(c_0_75,plain,
    addition(X1,multiplication(domain(X2),X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_35]),c_0_35]) ).

cnf(c_0_76,plain,
    domain(multiplication(domain(esk2_0),addition(esk2_0,X1))) = domain(esk2_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_72]),c_0_47]),c_0_50]),c_0_73]) ).

cnf(c_0_77,negated_conjecture,
    addition(esk1_0,multiplication(domain(esk2_0),esk1_0)) != multiplication(domain(esk2_0),esk1_0),
    i_0_10 ).

cnf(c_0_78,plain,
    multiplication(domain(addition(X1,X2)),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_36]),c_0_75]) ).

cnf(c_0_79,plain,
    domain(addition(esk1_0,multiplication(domain(esk2_0),addition(esk2_0,X1)))) = domain(esk2_0),
    inference(rw,[status(thm)],[c_0_73,c_0_76]) ).

cnf(c_0_80,negated_conjecture,
    multiplication(domain(esk2_0),esk1_0) != esk1_0,
    inference(rw,[status(thm)],[c_0_77,c_0_75]) ).

cnf(c_0_81,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : KLE064+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n003.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun 16 09:40:43 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.23/0.48  # ENIGMATIC: Selected SinE mode:
% 0.23/0.49  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.23/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.23/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.38/2.56  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.38/2.56  # No SInE strategy applied
% 8.38/2.56  # Trying AutoSched0 for 150 seconds
% 8.38/2.56  # AutoSched0-Mode selected heuristic G_____0010_evo
% 8.38/2.56  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.38/2.56  #
% 8.38/2.56  # Preprocessing time       : 0.013 s
% 8.38/2.56  
% 8.38/2.56  # Proof found!
% 8.38/2.56  # SZS status Theorem
% 8.38/2.56  # SZS output start CNFRefutation
% See solution above
% 8.38/2.56  # Training examples: 0 positive, 0 negative
% 8.38/2.56  
% 8.38/2.56  # -------------------------------------------------
% 8.38/2.56  # User time                : 0.047 s
% 8.38/2.56  # System time              : 0.010 s
% 8.38/2.56  # Total time               : 0.057 s
% 8.38/2.56  # Maximum resident set size: 7128 pages
% 8.38/2.56  
%------------------------------------------------------------------------------