TSTP Solution File: CAT032+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CAT032+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 : Thu Jul 14 23:59:01 EDT 2022

% Result   : Theorem 11.82s 5.75s
% Output   : CNFRefutation 11.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   39 (  16 unt;   0 nHn;  39 RR)
%            Number of literals    :  146 (   0 equ; 118 neg)
%            Maximal clause size   :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_620,plain,
    ( r1_isocat_1(X1,X2)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ m2_cat_1(X3,X1,X2)
    | ~ v8_cat_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_620) ).

cnf(i_0_4616,plain,
    ( v8_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_4616) ).

cnf(i_0_945,plain,
    ( m2_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_945) ).

cnf(i_0_4643,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(esk745_0,k11_cat_2(esk746_0,esk747_0)),k11_cat_2(k12_nattra_1(esk745_0,esk746_0),k12_nattra_1(esk745_0,esk747_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_4643) ).

cnf(i_0_4645,negated_conjecture,
    v2_cat_1(esk747_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_4645) ).

cnf(i_0_4647,negated_conjecture,
    v2_cat_1(esk746_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_4647) ).

cnf(i_0_4649,negated_conjecture,
    v2_cat_1(esk745_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_4649) ).

cnf(i_0_4644,negated_conjecture,
    l1_cat_1(esk747_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_4644) ).

cnf(i_0_4646,negated_conjecture,
    l1_cat_1(esk746_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_4646) ).

cnf(i_0_4648,negated_conjecture,
    l1_cat_1(esk745_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_4648) ).

cnf(i_0_912,plain,
    ( v2_cat_1(k11_cat_2(X1,X2))
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_912) ).

cnf(i_0_911,plain,
    ( l1_cat_1(k11_cat_2(X1,X2))
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_911) ).

cnf(i_0_926,plain,
    ( v2_cat_1(k12_nattra_1(X1,X2))
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_926) ).

cnf(i_0_925,plain,
    ( l1_cat_1(k12_nattra_1(X1,X2))
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-wrx2_gb7/lgb.p',i_0_925) ).

cnf(c_0_4664,plain,
    ( r1_isocat_1(X1,X2)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ m2_cat_1(X3,X1,X2)
    | ~ v8_cat_1(X3,X1,X2) ),
    i_0_620 ).

cnf(c_0_4665,plain,
    ( v8_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    i_0_4616 ).

cnf(c_0_4666,plain,
    ( m2_cat_1(k17_isocat_2(X1,X2,X3),k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    i_0_945 ).

cnf(c_0_4667,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(esk745_0,k11_cat_2(esk746_0,esk747_0)),k11_cat_2(k12_nattra_1(esk745_0,esk746_0),k12_nattra_1(esk745_0,esk747_0))),
    i_0_4643 ).

cnf(c_0_4668,plain,
    ( r1_isocat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)),k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ v2_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ v2_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(k11_cat_2(k12_nattra_1(X1,X2),k12_nattra_1(X1,X3)))
    | ~ l1_cat_1(k12_nattra_1(X1,k11_cat_2(X2,X3)))
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4664,c_0_4665]),c_0_4666]) ).

cnf(c_0_4669,negated_conjecture,
    v2_cat_1(esk747_0),
    i_0_4645 ).

cnf(c_0_4670,negated_conjecture,
    v2_cat_1(esk746_0),
    i_0_4647 ).

cnf(c_0_4671,negated_conjecture,
    v2_cat_1(esk745_0),
    i_0_4649 ).

cnf(c_0_4672,negated_conjecture,
    l1_cat_1(esk747_0),
    i_0_4644 ).

cnf(c_0_4673,negated_conjecture,
    l1_cat_1(esk746_0),
    i_0_4646 ).

cnf(c_0_4674,negated_conjecture,
    l1_cat_1(esk745_0),
    i_0_4648 ).

cnf(c_0_4675,negated_conjecture,
    ( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk745_0,esk746_0),k12_nattra_1(esk745_0,esk747_0)))
    | ~ v2_cat_1(k12_nattra_1(esk745_0,k11_cat_2(esk746_0,esk747_0)))
    | ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk745_0,esk746_0),k12_nattra_1(esk745_0,esk747_0)))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,k11_cat_2(esk746_0,esk747_0))) ),
    inference(cn,[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_4667,c_0_4668]),c_0_4669]),c_0_4670]),c_0_4671]),c_0_4672]),c_0_4673]),c_0_4674])]) ).

cnf(c_0_4676,plain,
    ( v2_cat_1(k11_cat_2(X1,X2))
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    i_0_912 ).

cnf(c_0_4677,plain,
    ( l1_cat_1(k11_cat_2(X1,X2))
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    i_0_911 ).

cnf(c_0_4678,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk745_0,k11_cat_2(esk746_0,esk747_0)))
    | ~ v2_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ v2_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,k11_cat_2(esk746_0,esk747_0)))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk746_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4675,c_0_4676]),c_0_4677]) ).

cnf(c_0_4679,plain,
    ( v2_cat_1(k12_nattra_1(X1,X2))
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    i_0_926 ).

cnf(c_0_4680,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ v2_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ v2_cat_1(k11_cat_2(esk746_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,k11_cat_2(esk746_0,esk747_0)))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ l1_cat_1(k11_cat_2(esk746_0,esk747_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4678,c_0_4679]),c_0_4671]),c_0_4674])]) ).

cnf(c_0_4681,plain,
    ( l1_cat_1(k12_nattra_1(X1,X2))
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1) ),
    i_0_925 ).

cnf(c_0_4682,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ v2_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ v2_cat_1(k11_cat_2(esk746_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ l1_cat_1(k11_cat_2(esk746_0,esk747_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4680,c_0_4681]),c_0_4671]),c_0_4674])]) ).

cnf(c_0_4683,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ v2_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ l1_cat_1(k11_cat_2(esk746_0,esk747_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4682,c_0_4676]),c_0_4669]),c_0_4670]),c_0_4672]),c_0_4673])]) ).

cnf(c_0_4684,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ l1_cat_1(k11_cat_2(esk746_0,esk747_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4683,c_0_4679]),c_0_4669]),c_0_4671]),c_0_4672]),c_0_4674])]) ).

cnf(c_0_4685,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk746_0))
    | ~ l1_cat_1(k11_cat_2(esk746_0,esk747_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4684,c_0_4679]),c_0_4670]),c_0_4671]),c_0_4673]),c_0_4674])]) ).

cnf(c_0_4686,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk745_0,esk747_0))
    | ~ l1_cat_1(k12_nattra_1(esk745_0,esk746_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4685,c_0_4677]),c_0_4669]),c_0_4670]),c_0_4672]),c_0_4673])]) ).

cnf(c_0_4687,plain,
    ~ l1_cat_1(k12_nattra_1(esk745_0,esk746_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4686,c_0_4681]),c_0_4669]),c_0_4671]),c_0_4672]),c_0_4674])]) ).

cnf(c_0_4688,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4687,c_0_4681]),c_0_4670]),c_0_4671]),c_0_4673]),c_0_4674])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CAT032+4 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n021.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 : Sun May 29 23:58:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 1.21/1.39  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.21/1.39  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.21/1.39  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.21/1.39  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.82/5.75  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.82/5.75  # No SInE strategy applied
% 11.82/5.75  # Trying AutoSched0 for 149 seconds
% 11.82/5.75  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.82/5.75  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.82/5.75  #
% 11.82/5.75  # Preprocessing time       : 0.024 s
% 11.82/5.75  # Presaturation interreduction done
% 11.82/5.75  
% 11.82/5.75  # Proof found!
% 11.82/5.75  # SZS status Theorem
% 11.82/5.75  # SZS output start CNFRefutation
% See solution above
% 11.82/5.75  # Training examples: 0 positive, 0 negative
% 11.82/5.75  
% 11.82/5.75  # -------------------------------------------------
% 11.82/5.75  # User time                : 0.028 s
% 11.82/5.75  # System time              : 0.008 s
% 11.82/5.75  # Total time               : 0.037 s
% 11.82/5.75  # Maximum resident set size: 7136 pages
% 11.82/5.75  
%------------------------------------------------------------------------------