TSTP Solution File: REL002+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : REL002+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 19:12:47 EDT 2022

% Result   : Theorem 7.66s 2.32s
% Output   : CNFRefutation 7.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   28 (  28 unt;   0 nHn;   5 RR)
%            Number of literals    :   28 (  27 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   36 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jo2eb90o/lgb.p',i_0_7) ).

cnf(i_0_6,plain,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jo2eb90o/lgb.p',i_0_6) ).

cnf(i_0_3,plain,
    composition(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jo2eb90o/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/sandbox/tmp/enigma-theBenchmark.p-jo2eb90o/lgb.p',i_0_5) ).

cnf(i_0_11,plain,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jo2eb90o/lgb.p',i_0_11) ).

cnf(i_0_12,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jo2eb90o/lgb.p',i_0_12) ).

cnf(i_0_8,plain,
    join(X1,complement(X1)) = top,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jo2eb90o/lgb.p',i_0_8) ).

cnf(i_0_10,negated_conjecture,
    join(esk1_0,top) != top,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-jo2eb90o/lgb.p',i_0_10) ).

cnf(c_0_21,plain,
    composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
    i_0_7 ).

cnf(c_0_22,plain,
    converse(converse(X1)) = X1,
    i_0_6 ).

cnf(c_0_23,plain,
    converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_24,plain,
    composition(X1,one) = X1,
    i_0_3 ).

cnf(c_0_25,plain,
    composition(converse(one),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_22]) ).

cnf(c_0_26,plain,
    join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
    i_0_5 ).

cnf(c_0_27,plain,
    join(X1,X2) = join(X2,X1),
    i_0_11 ).

cnf(c_0_28,plain,
    converse(one) = one,
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    i_0_12 ).

cnf(c_0_30,plain,
    join(X1,complement(X1)) = top,
    i_0_8 ).

cnf(c_0_31,plain,
    join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
    inference(rw,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    composition(one,X1) = X1,
    inference(rw,[status(thm)],[c_0_25,c_0_28]) ).

cnf(c_0_33,plain,
    join(X1,join(complement(X1),X2)) = join(top,X2),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,plain,
    join(complement(X1),complement(X1)) = complement(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_28]),c_0_32]) ).

cnf(c_0_35,plain,
    join(top,complement(X1)) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_30]) ).

cnf(c_0_36,negated_conjecture,
    join(esk1_0,top) != top,
    i_0_10 ).

cnf(c_0_37,plain,
    join(X1,top) = top,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    join(top,esk1_0) != top,
    inference(rw,[status(thm)],[c_0_36,c_0_27]) ).

cnf(c_0_39,plain,
    join(top,X1) = top,
    inference(spm,[status(thm)],[c_0_27,c_0_37]) ).

cnf(c_0_40,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : REL002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n005.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jul  8 08:36:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.66/2.32  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.66/2.32  # No SInE strategy applied
% 7.66/2.32  # Trying AutoSched0 for 150 seconds
% 7.66/2.32  # AutoSched0-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 7.66/2.32  # and selection function SelectNewComplexAHP.
% 7.66/2.32  #
% 7.66/2.32  # Preprocessing time       : 0.021 s
% 7.66/2.32  # Presaturation interreduction done
% 7.66/2.32  
% 7.66/2.32  # Proof found!
% 7.66/2.32  # SZS status Theorem
% 7.66/2.32  # SZS output start CNFRefutation
% See solution above
% 7.66/2.32  # Training examples: 0 positive, 0 negative
% 7.66/2.32  
% 7.66/2.32  # -------------------------------------------------
% 7.66/2.32  # User time                : 0.023 s
% 7.66/2.32  # System time              : 0.007 s
% 7.66/2.32  # Total time               : 0.030 s
% 7.66/2.32  # Maximum resident set size: 7128 pages
% 7.66/2.32  
%------------------------------------------------------------------------------