TSTP Solution File: REL007+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : REL007+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 19:12:54 EDT 2022

% Result   : Theorem 7.24s 2.28s
% Output   : CNFRefutation 7.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   71 (  71 unt;   0 nHn;  21 RR)
%            Number of literals    :   71 (  70 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    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   82 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_7) ).

cnf(i_0_6,plain,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_6) ).

cnf(i_0_3,plain,
    composition(X1,one) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.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-mn_1h7zw/lgb.p',i_0_5) ).

cnf(i_0_12,plain,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_12) ).

cnf(i_0_9,plain,
    complement(join(complement(X1),complement(complement(X1)))) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_9) ).

cnf(i_0_8,plain,
    join(X1,complement(X1)) = top,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_8) ).

cnf(i_0_14,plain,
    join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_14) ).

cnf(i_0_13,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_13) ).

cnf(i_0_11,negated_conjecture,
    complement(join(complement(esk1_0),complement(converse(esk2_0)))) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_11) ).

cnf(i_0_4,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_4) ).

cnf(i_0_10,negated_conjecture,
    complement(join(complement(converse(esk1_0)),complement(esk2_0))) != zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mn_1h7zw/lgb.p',i_0_10) ).

cnf(c_0_27,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    i_0_7 ).

cnf(c_0_28,plain,
    converse(converse(X1)) = X1,
    i_0_6 ).

cnf(c_0_29,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_30,plain,
    composition(X1,one) = X1,
    i_0_3 ).

cnf(c_0_31,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]) ).

cnf(c_0_32,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    i_0_5 ).

cnf(c_0_33,plain,
    join(X1,X2) = join(X2,X1),
    i_0_12 ).

cnf(c_0_34,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_31,c_0_34]) ).

cnf(c_0_37,plain,
    complement(join(complement(X1),complement(complement(X1)))) = zero,
    i_0_9 ).

cnf(c_0_38,plain,
    join(X1,complement(X1)) = top,
    i_0_8 ).

cnf(c_0_39,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_34]),c_0_36]) ).

cnf(c_0_40,plain,
    complement(top) = zero,
    inference(rw,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,plain,
    join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
    i_0_14 ).

cnf(c_0_42,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    i_0_13 ).

cnf(c_0_43,plain,
    join(zero,zero) = zero,
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_44,plain,
    join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[c_0_41,c_0_33]) ).

cnf(c_0_45,plain,
    join(zero,join(zero,X1)) = join(zero,X1),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,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_44,c_0_38]),c_0_39]),c_0_40]),c_0_33]) ).

cnf(c_0_47,plain,
    join(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_48,plain,
    complement(complement(X1)) = X1,
    inference(rw,[status(thm)],[c_0_46,c_0_47]) ).

cnf(c_0_49,negated_conjecture,
    complement(join(complement(esk1_0),complement(converse(esk2_0)))) = zero,
    i_0_11 ).

cnf(c_0_50,plain,
    complement(zero) = top,
    inference(spm,[status(thm)],[c_0_38,c_0_47]) ).

cnf(c_0_51,plain,
    join(X1,join(complement(X1),X2)) = join(top,X2),
    inference(spm,[status(thm)],[c_0_42,c_0_38]) ).

cnf(c_0_52,plain,
    join(X1,join(X2,complement(join(X1,X2)))) = top,
    inference(spm,[status(thm)],[c_0_38,c_0_42]) ).

cnf(c_0_53,plain,
    join(X1,X1) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_48]) ).

cnf(c_0_54,negated_conjecture,
    join(complement(esk1_0),complement(converse(esk2_0))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).

cnf(c_0_55,plain,
    join(top,complement(complement(X1))) = join(X1,top),
    inference(spm,[status(thm)],[c_0_51,c_0_38]) ).

cnf(c_0_56,plain,
    join(top,complement(X1)) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_39]),c_0_38]),c_0_33]) ).

cnf(c_0_57,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_42,c_0_53]) ).

cnf(c_0_58,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    i_0_4 ).

cnf(c_0_59,plain,
    complement(join(converse(esk2_0),complement(esk1_0))) = esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_54]),c_0_40]),c_0_48]),c_0_47]),c_0_33]) ).

cnf(c_0_60,plain,
    join(X1,top) = top,
    inference(rw,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_44]),c_0_33]) ).

cnf(c_0_62,plain,
    converse(join(converse(X1),X2)) = join(X1,converse(X2)),
    inference(spm,[status(thm)],[c_0_58,c_0_28]) ).

cnf(c_0_63,plain,
    join(converse(esk2_0),complement(esk1_0)) = complement(esk1_0),
    inference(spm,[status(thm)],[c_0_48,c_0_59]) ).

cnf(c_0_64,plain,
    join(X1,join(X2,complement(X1))) = join(top,X2),
    inference(spm,[status(thm)],[c_0_51,c_0_33]) ).

cnf(c_0_65,plain,
    join(top,X1) = top,
    inference(spm,[status(thm)],[c_0_33,c_0_60]) ).

cnf(c_0_66,plain,
    join(complement(X1),complement(join(X1,X2))) = complement(X1),
    inference(spm,[status(thm)],[c_0_61,c_0_48]) ).

cnf(c_0_67,plain,
    join(esk2_0,converse(complement(esk1_0))) = converse(complement(esk1_0)),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_68,plain,
    join(X1,join(X2,complement(X1))) = top,
    inference(rw,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_69,plain,
    join(complement(esk2_0),complement(converse(complement(esk1_0)))) = complement(esk2_0),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_70,plain,
    join(X1,converse(complement(converse(X1)))) = converse(top),
    inference(spm,[status(thm)],[c_0_62,c_0_38]) ).

cnf(c_0_71,plain,
    join(X1,join(X2,X1)) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_57,c_0_33]) ).

cnf(c_0_72,plain,
    converse(join(X1,converse(X2))) = join(converse(X1),X2),
    inference(spm,[status(thm)],[c_0_58,c_0_28]) ).

cnf(c_0_73,plain,
    join(complement(esk2_0),converse(complement(esk1_0))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_33]) ).

cnf(c_0_74,plain,
    converse(top) = top,
    inference(spm,[status(thm)],[c_0_70,c_0_65]) ).

cnf(c_0_75,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_61,c_0_71]) ).

cnf(c_0_76,plain,
    join(complement(esk1_0),converse(complement(esk2_0))) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74]),c_0_33]) ).

cnf(c_0_77,plain,
    join(converse(X1),join(converse(X2),X3)) = join(converse(join(X1,X2)),X3),
    inference(spm,[status(thm)],[c_0_42,c_0_58]) ).

cnf(c_0_78,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_75,c_0_48]) ).

cnf(c_0_79,plain,
    complement(join(complement(esk1_0),complement(converse(complement(esk2_0))))) = esk1_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_76]),c_0_40]),c_0_47]) ).

cnf(c_0_80,negated_conjecture,
    complement(join(complement(converse(esk1_0)),complement(esk2_0))) != zero,
    i_0_10 ).

cnf(c_0_81,plain,
    join(complement(converse(X1)),converse(join(X1,X2))) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_77]),c_0_33]) ).

cnf(c_0_82,plain,
    join(esk1_0,converse(complement(esk2_0))) = converse(complement(esk2_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_48]),c_0_48]),c_0_33]) ).

cnf(c_0_83,negated_conjecture,
    complement(join(complement(esk2_0),complement(converse(esk1_0)))) != zero,
    inference(rw,[status(thm)],[c_0_80,c_0_33]) ).

cnf(c_0_84,plain,
    join(complement(esk2_0),complement(converse(esk1_0))) = top,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_28]),c_0_33]) ).

cnf(c_0_85,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : REL007+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n024.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Fri Jul  8 13:44:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.24/2.28  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.24/2.28  # No SInE strategy applied
% 7.24/2.28  # Trying AutoSched0 for 150 seconds
% 7.24/2.28  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 7.24/2.28  # and selection function SelectNewComplexAHP.
% 7.24/2.28  #
% 7.24/2.28  # Preprocessing time       : 0.014 s
% 7.24/2.28  # Presaturation interreduction done
% 7.24/2.28  
% 7.24/2.28  # Proof found!
% 7.24/2.28  # SZS status Theorem
% 7.24/2.28  # SZS output start CNFRefutation
% See solution above
% 7.24/2.28  # Training examples: 0 positive, 0 negative
% 7.24/2.28  
% 7.24/2.28  # -------------------------------------------------
% 7.24/2.28  # User time                : 0.043 s
% 7.24/2.28  # System time              : 0.006 s
% 7.24/2.28  # Total time               : 0.049 s
% 7.24/2.28  # Maximum resident set size: 7124 pages
% 7.24/2.28  
%------------------------------------------------------------------------------