TSTP Solution File: REL009+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : REL009+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 19:12:58 EDT 2022

% Result   : Theorem 8.18s 2.55s
% Output   : CNFRefutation 8.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (  19 unt;   0 nHn;   8 RR)
%            Number of literals    :   25 (  24 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    5 (   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   :   31 (   0 sgn)

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

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

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

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

cnf(i_0_11,negated_conjecture,
    join(esk1_0,esk2_0) = esk2_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jibudhd_/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-jibudhd_/lgb.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-jibudhd_/lgb.p',i_0_2) ).

cnf(c_0_20,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    i_0_7 ).

cnf(c_0_21,plain,
    converse(converse(X1)) = X1,
    i_0_6 ).

cnf(c_0_22,negated_conjecture,
    ( join(composition(esk1_0,esk3_0),composition(esk2_0,esk3_0)) != composition(esk2_0,esk3_0)
    | join(composition(esk3_0,esk1_0),composition(esk3_0,esk2_0)) != composition(esk3_0,esk2_0) ),
    i_0_10 ).

cnf(c_0_23,plain,
    join(X1,X2) = join(X2,X1),
    i_0_12 ).

cnf(c_0_24,negated_conjecture,
    join(esk1_0,esk2_0) = esk2_0,
    i_0_11 ).

cnf(c_0_25,plain,
    join(converse(X1),converse(X2)) = converse(join(X1,X2)),
    i_0_4 ).

cnf(c_0_26,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,plain,
    join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
    i_0_2 ).

cnf(c_0_28,negated_conjecture,
    ( join(composition(esk2_0,esk3_0),composition(esk1_0,esk3_0)) != composition(esk2_0,esk3_0)
    | join(composition(esk3_0,esk2_0),composition(esk3_0,esk1_0)) != composition(esk3_0,esk2_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    join(esk2_0,esk1_0) = esk2_0,
    inference(rw,[status(thm)],[c_0_24,c_0_23]) ).

cnf(c_0_30,plain,
    converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,plain,
    join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
    inference(spm,[status(thm)],[c_0_27,c_0_20]) ).

cnf(c_0_32,negated_conjecture,
    join(composition(esk3_0,esk2_0),composition(esk3_0,esk1_0)) != composition(esk3_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_27]),c_0_29])]) ).

cnf(c_0_33,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_30,c_0_31]),c_0_25]),c_0_20]),c_0_21]),c_0_21]),c_0_21]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : REL009+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jul  8 11:04:01 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 0.21/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.18/2.55  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.18/2.55  # No SInE strategy applied
% 8.18/2.55  # Trying AutoSched0 for 150 seconds
% 8.18/2.55  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.18/2.55  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.18/2.55  #
% 8.18/2.55  # Preprocessing time       : 0.019 s
% 8.18/2.55  # Presaturation interreduction done
% 8.18/2.55  
% 8.18/2.55  # Proof found!
% 8.18/2.55  # SZS status Theorem
% 8.18/2.55  # SZS output start CNFRefutation
% See solution above
% 8.18/2.55  # Training examples: 0 positive, 0 negative
% 8.18/2.55  
% 8.18/2.55  # -------------------------------------------------
% 8.18/2.55  # User time                : 0.035 s
% 8.18/2.55  # System time              : 0.007 s
% 8.18/2.55  # Total time               : 0.042 s
% 8.18/2.55  # Maximum resident set size: 7120 pages
% 8.18/2.55  
%------------------------------------------------------------------------------