TSTP Solution File: CAT032+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CAT032+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 9.66s 3.72s
% Output   : CNFRefutation 9.66s
% 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_500,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-g7ue34o1/lgb.p',i_0_500) ).

cnf(i_0_2769,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-g7ue34o1/lgb.p',i_0_2769) ).

cnf(i_0_735,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-g7ue34o1/lgb.p',i_0_735) ).

cnf(i_0_2803,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(esk488_0,k11_cat_2(esk489_0,esk490_0)),k11_cat_2(k12_nattra_1(esk488_0,esk489_0),k12_nattra_1(esk488_0,esk490_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7ue34o1/lgb.p',i_0_2803) ).

cnf(i_0_2805,negated_conjecture,
    v2_cat_1(esk490_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7ue34o1/lgb.p',i_0_2805) ).

cnf(i_0_2807,negated_conjecture,
    v2_cat_1(esk489_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7ue34o1/lgb.p',i_0_2807) ).

cnf(i_0_2809,negated_conjecture,
    v2_cat_1(esk488_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7ue34o1/lgb.p',i_0_2809) ).

cnf(i_0_2804,negated_conjecture,
    l1_cat_1(esk490_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7ue34o1/lgb.p',i_0_2804) ).

cnf(i_0_2806,negated_conjecture,
    l1_cat_1(esk489_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7ue34o1/lgb.p',i_0_2806) ).

cnf(i_0_2808,negated_conjecture,
    l1_cat_1(esk488_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-g7ue34o1/lgb.p',i_0_2808) ).

cnf(i_0_923,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-g7ue34o1/lgb.p',i_0_923) ).

cnf(i_0_700,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-g7ue34o1/lgb.p',i_0_700) ).

cnf(i_0_710,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-g7ue34o1/lgb.p',i_0_710) ).

cnf(i_0_709,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-g7ue34o1/lgb.p',i_0_709) ).

cnf(c_0_2824,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_500 ).

cnf(c_0_2825,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_2769 ).

cnf(c_0_2826,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_735 ).

cnf(c_0_2827,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(esk488_0,k11_cat_2(esk489_0,esk490_0)),k11_cat_2(k12_nattra_1(esk488_0,esk489_0),k12_nattra_1(esk488_0,esk490_0))),
    i_0_2803 ).

cnf(c_0_2828,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_2824,c_0_2825]),c_0_2826]) ).

cnf(c_0_2829,negated_conjecture,
    v2_cat_1(esk490_0),
    i_0_2805 ).

cnf(c_0_2830,negated_conjecture,
    v2_cat_1(esk489_0),
    i_0_2807 ).

cnf(c_0_2831,negated_conjecture,
    v2_cat_1(esk488_0),
    i_0_2809 ).

cnf(c_0_2832,negated_conjecture,
    l1_cat_1(esk490_0),
    i_0_2804 ).

cnf(c_0_2833,negated_conjecture,
    l1_cat_1(esk489_0),
    i_0_2806 ).

cnf(c_0_2834,negated_conjecture,
    l1_cat_1(esk488_0),
    i_0_2808 ).

cnf(c_0_2835,negated_conjecture,
    ( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk488_0,esk489_0),k12_nattra_1(esk488_0,esk490_0)))
    | ~ v2_cat_1(k12_nattra_1(esk488_0,k11_cat_2(esk489_0,esk490_0)))
    | ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk488_0,esk489_0),k12_nattra_1(esk488_0,esk490_0)))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,k11_cat_2(esk489_0,esk490_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_2827,c_0_2828]),c_0_2829]),c_0_2830]),c_0_2831]),c_0_2832]),c_0_2833]),c_0_2834])]) ).

cnf(c_0_2836,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_923 ).

cnf(c_0_2837,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_700 ).

cnf(c_0_2838,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk488_0,k11_cat_2(esk489_0,esk490_0)))
    | ~ v2_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ v2_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,k11_cat_2(esk489_0,esk490_0)))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk489_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2835,c_0_2836]),c_0_2837]) ).

cnf(c_0_2839,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_710 ).

cnf(c_0_2840,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ v2_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ v2_cat_1(k11_cat_2(esk489_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,k11_cat_2(esk489_0,esk490_0)))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ l1_cat_1(k11_cat_2(esk489_0,esk490_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2838,c_0_2839]),c_0_2831]),c_0_2834])]) ).

cnf(c_0_2841,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_709 ).

cnf(c_0_2842,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ v2_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ v2_cat_1(k11_cat_2(esk489_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ l1_cat_1(k11_cat_2(esk489_0,esk490_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2840,c_0_2841]),c_0_2831]),c_0_2834])]) ).

cnf(c_0_2843,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ v2_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ l1_cat_1(k11_cat_2(esk489_0,esk490_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_2842,c_0_2836]),c_0_2829]),c_0_2830]),c_0_2832]),c_0_2833])]) ).

cnf(c_0_2844,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ l1_cat_1(k11_cat_2(esk489_0,esk490_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_2843,c_0_2839]),c_0_2829]),c_0_2831]),c_0_2832]),c_0_2834])]) ).

cnf(c_0_2845,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk489_0))
    | ~ l1_cat_1(k11_cat_2(esk489_0,esk490_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_2844,c_0_2839]),c_0_2830]),c_0_2831]),c_0_2833]),c_0_2834])]) ).

cnf(c_0_2846,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk488_0,esk490_0))
    | ~ l1_cat_1(k12_nattra_1(esk488_0,esk489_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_2845,c_0_2837]),c_0_2829]),c_0_2830]),c_0_2832]),c_0_2833])]) ).

cnf(c_0_2847,plain,
    ~ l1_cat_1(k12_nattra_1(esk488_0,esk489_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_2846,c_0_2841]),c_0_2829]),c_0_2831]),c_0_2832]),c_0_2834])]) ).

cnf(c_0_2848,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_2847,c_0_2841]),c_0_2830]),c_0_2831]),c_0_2833]),c_0_2834])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CAT032+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun May 29 19:21:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.45/0.62  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.62  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.45/0.62  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.45/0.62  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.66/3.72  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.66/3.72  # No SInE strategy applied
% 9.66/3.72  # Trying AutoSched0 for 150 seconds
% 9.66/3.72  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.66/3.72  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.66/3.72  #
% 9.66/3.72  # Preprocessing time       : 0.023 s
% 9.66/3.72  # Presaturation interreduction done
% 9.66/3.72  
% 9.66/3.72  # Proof found!
% 9.66/3.72  # SZS status Theorem
% 9.66/3.72  # SZS output start CNFRefutation
% See solution above
% 9.66/3.72  # Training examples: 0 positive, 0 negative
% 9.66/3.72  
% 9.66/3.72  # -------------------------------------------------
% 9.66/3.72  # User time                : 0.027 s
% 9.66/3.72  # System time              : 0.006 s
% 9.66/3.72  # Total time               : 0.033 s
% 9.66/3.72  # Maximum resident set size: 7124 pages
% 9.66/3.72  
%------------------------------------------------------------------------------