TSTP Solution File: REL017+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : REL017+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 : Mon Jul 18 19:13:08 EDT 2022

% Result   : Theorem 26.36s 4.87s
% Output   : CNFRefutation 26.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   66 (  66 unt;   0 nHn;   7 RR)
%            Number of literals    :   66 (  65 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :  112 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_7) ).

cnf(i_0_6,plain,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_6) ).

cnf(i_0_3,plain,
    composition(X1,one) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_3) ).

cnf(i_0_5,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_5) ).

cnf(i_0_11,plain,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_11) ).

cnf(i_0_8,plain,
    join(X1,complement(X1)) = top,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_8) ).

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

cnf(i_0_13,plain,
    join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_13) ).

cnf(i_0_9,plain,
    complement(join(complement(X1),complement(complement(X1)))) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_9) ).

cnf(i_0_4,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_4) ).

cnf(i_0_2,plain,
    join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_2) ).

cnf(i_0_10,negated_conjecture,
    join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),composition(esk1_0,esk3_0)) != join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-_qvnuayb/input.p',i_0_10) ).

cnf(c_0_26,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    i_0_7 ).

cnf(c_0_27,plain,
    converse(converse(X1)) = X1,
    i_0_6 ).

cnf(c_0_28,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,plain,
    composition(X1,one) = X1,
    i_0_3 ).

cnf(c_0_30,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_27]) ).

cnf(c_0_31,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    i_0_5 ).

cnf(c_0_32,plain,
    join(X1,X2) = join(X2,X1),
    i_0_11 ).

cnf(c_0_33,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,plain,
    join(X1,complement(X1)) = top,
    i_0_8 ).

cnf(c_0_35,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    i_0_12 ).

cnf(c_0_36,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_37,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_30,c_0_33]) ).

cnf(c_0_38,plain,
    join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
    i_0_13 ).

cnf(c_0_39,plain,
    join(X1,join(X2,complement(join(X1,X2)))) = top,
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_40,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_33]),c_0_37]) ).

cnf(c_0_41,plain,
    complement(join(complement(X1),complement(complement(X1)))) = zero,
    i_0_9 ).

cnf(c_0_42,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_38,c_0_32]) ).

cnf(c_0_43,plain,
    join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
    inference(spm,[status(thm)],[c_0_32,c_0_35]) ).

cnf(c_0_44,plain,
    join(top,complement(X1)) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_34]),c_0_32]) ).

cnf(c_0_45,plain,
    complement(top) = zero,
    inference(rw,[status(thm)],[c_0_41,c_0_34]) ).

cnf(c_0_46,plain,
    join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_42]),c_0_43]),c_0_32]),c_0_32]) ).

cnf(c_0_47,plain,
    join(X1,top) = top,
    inference(spm,[status(thm)],[c_0_39,c_0_44]) ).

cnf(c_0_48,plain,
    join(zero,complement(complement(X1))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_40]),c_0_34]),c_0_45]),c_0_32]) ).

cnf(c_0_49,plain,
    join(zero,complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_40]),c_0_34]),c_0_47]),c_0_45]),c_0_32]) ).

cnf(c_0_50,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_51,plain,
    join(complement(join(complement(X1),X2)),join(complement(join(complement(X1),complement(X2))),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_35,c_0_42]) ).

cnf(c_0_52,plain,
    join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
    inference(spm,[status(thm)],[c_0_42,c_0_32]) ).

cnf(c_0_53,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X2),complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_42,c_0_32]) ).

cnf(c_0_54,plain,
    join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_35]) ).

cnf(c_0_55,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_40,c_0_50]) ).

cnf(c_0_56,plain,
    join(X1,join(complement(X1),X2)) = join(top,X2),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_57,plain,
    join(top,X1) = top,
    inference(spm,[status(thm)],[c_0_32,c_0_47]) ).

cnf(c_0_58,plain,
    join(X1,complement(join(complement(X2),X1))) = join(X2,complement(join(complement(X1),X2))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_32]),c_0_50]) ).

cnf(c_0_59,plain,
    join(complement(join(X1,X2)),complement(join(complement(X2),X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_53,c_0_50]) ).

cnf(c_0_60,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_35]),c_0_55]) ).

cnf(c_0_61,plain,
    join(X1,join(complement(X1),X2)) = top,
    inference(rw,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_62,plain,
    join(X1,zero) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_55]),c_0_50]),c_0_50]),c_0_34]),c_0_45]) ).

cnf(c_0_63,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    i_0_4 ).

cnf(c_0_64,plain,
    join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
    i_0_2 ).

cnf(c_0_65,plain,
    join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
    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(spm,[status(thm)],[c_0_58,c_0_59]),c_0_50]),c_0_35]),c_0_60]),c_0_43]),c_0_61]),c_0_45]),c_0_35]),c_0_62]),c_0_50]),c_0_32]) ).

cnf(c_0_66,plain,
    join(X1,join(X2,X1)) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_43,c_0_55]) ).

cnf(c_0_67,plain,
    converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
    inference(spm,[status(thm)],[c_0_63,c_0_28]) ).

cnf(c_0_68,plain,
    join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
    inference(spm,[status(thm)],[c_0_64,c_0_26]) ).

cnf(c_0_69,plain,
    join(complement(join(X1,X2)),complement(join(X1,complement(X2)))) = complement(X1),
    inference(spm,[status(thm)],[c_0_42,c_0_50]) ).

cnf(c_0_70,plain,
    join(X1,complement(join(X1,X2))) = join(complement(X2),X1),
    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(spm,[status(thm)],[c_0_59,c_0_59]),c_0_50]),c_0_50]),c_0_43]),c_0_32]),c_0_65]),c_0_66]),c_0_32]) ).

cnf(c_0_71,negated_conjecture,
    join(complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0)))))),composition(esk1_0,esk3_0)) != join(complement(composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)),
    i_0_10 ).

cnf(c_0_72,plain,
    join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
    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_67,c_0_68]),c_0_63]),c_0_26]),c_0_27]),c_0_27]),c_0_27]) ).

cnf(c_0_73,plain,
    join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
    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(spm,[status(thm)],[c_0_59,c_0_69]),c_0_50]),c_0_50]),c_0_43]),c_0_32]),c_0_70]),c_0_50]),c_0_60]),c_0_32]) ).

cnf(c_0_74,negated_conjecture,
    join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(complement(esk2_0),complement(complement(esk3_0))))))) != join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_32]),c_0_32]) ).

cnf(c_0_75,plain,
    join(composition(X1,X2),complement(composition(X1,join(X2,X3)))) = join(complement(composition(X1,X3)),composition(X1,X2)),
    inference(spm,[status(thm)],[c_0_70,c_0_72]) ).

cnf(c_0_76,plain,
    join(composition(X1,X2),complement(composition(X1,join(X3,X2)))) = join(composition(X1,X2),complement(composition(X1,X3))),
    inference(spm,[status(thm)],[c_0_73,c_0_72]) ).

cnf(c_0_77,negated_conjecture,
    join(composition(esk1_0,esk3_0),complement(composition(esk1_0,complement(join(esk3_0,complement(esk2_0)))))) != join(composition(esk1_0,esk3_0),complement(composition(esk1_0,esk2_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_50]),c_0_32]) ).

cnf(c_0_78,plain,
    join(composition(X1,X2),complement(composition(X1,complement(join(X2,X3))))) = join(composition(X1,X2),complement(composition(X1,complement(X3)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_70]),c_0_32]),c_0_76]) ).

cnf(c_0_79,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78]),c_0_50])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : REL017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n015.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
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Fri Jul  8 07:41:22 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected SinE mode:
% 0.22/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 26.36/4.87  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 26.36/4.87  # 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: 35; version: 991; iters: 150)
% 26.36/4.87  # Preprocessing time       : 0.853 s
% 26.36/4.87  # Presaturation interreduction done
% 26.36/4.87  
% 26.36/4.87  # Proof found!
% 26.36/4.87  # SZS status Theorem
% 26.36/4.87  # SZS output start CNFRefutation
% See solution above
% 26.36/4.87  # Training examples: 0 positive, 0 negative
% 26.36/4.87  
% 26.36/4.87  # -------------------------------------------------
% 26.36/4.87  # User time                : 1.958 s
% 26.36/4.87  # System time              : 0.120 s
% 26.36/4.87  # Total time               : 2.078 s
% 26.36/4.87  # ...preprocessing         : 0.853 s
% 26.36/4.87  # ...main loop             : 1.225 s
% 26.36/4.87  # Maximum resident set size: 167024 pages
% 26.36/4.87  
%------------------------------------------------------------------------------