TSTP Solution File: CAT025+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CAT025+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 23:58:57 EDT 2022

% Result   : Theorem 6.59s 3.86s
% Output   : CNFRefutation 6.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (  16 unt;   0 nHn;  38 RR)
%            Number of literals    :  138 (   0 equ; 110 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_509,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/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_509) ).

cnf(i_0_2372,plain,
    ( v8_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,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/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_2372) ).

cnf(i_0_828,plain,
    ( m2_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,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/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_828) ).

cnf(i_0_2402,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(k11_cat_2(esk452_0,esk453_0),esk454_0),k12_nattra_1(esk452_0,k12_nattra_1(esk453_0,esk454_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_2402) ).

cnf(i_0_2404,negated_conjecture,
    v2_cat_1(esk454_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_2404) ).

cnf(i_0_2406,negated_conjecture,
    v2_cat_1(esk453_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_2406) ).

cnf(i_0_2408,negated_conjecture,
    v2_cat_1(esk452_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_2408) ).

cnf(i_0_2403,negated_conjecture,
    l1_cat_1(esk454_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_2403) ).

cnf(i_0_2405,negated_conjecture,
    l1_cat_1(esk453_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_2405) ).

cnf(i_0_2407,negated_conjecture,
    l1_cat_1(esk452_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_2407) ).

cnf(i_0_739,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/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_739) ).

cnf(i_0_738,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/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_738) ).

cnf(i_0_943,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/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_943) ).

cnf(i_0_730,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/sandbox2/tmp/enigma-theBenchmark.p-hx6_pvvf/lgb.p',i_0_730) ).

cnf(c_0_2423,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_509 ).

cnf(c_0_2424,plain,
    ( v8_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,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_2372 ).

cnf(c_0_2425,plain,
    ( m2_cat_1(k7_isocat_2(X1,X2,X3),k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,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_828 ).

cnf(c_0_2426,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(k11_cat_2(esk452_0,esk453_0),esk454_0),k12_nattra_1(esk452_0,k12_nattra_1(esk453_0,esk454_0))),
    i_0_2402 ).

cnf(c_0_2427,plain,
    ( r1_isocat_1(k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3)))
    | ~ v2_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
    | ~ v2_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(k12_nattra_1(X1,k12_nattra_1(X2,X3)))
    | ~ l1_cat_1(k12_nattra_1(k11_cat_2(X1,X2),X3))
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2423,c_0_2424]),c_0_2425]) ).

cnf(c_0_2428,negated_conjecture,
    v2_cat_1(esk454_0),
    i_0_2404 ).

cnf(c_0_2429,negated_conjecture,
    v2_cat_1(esk453_0),
    i_0_2406 ).

cnf(c_0_2430,negated_conjecture,
    v2_cat_1(esk452_0),
    i_0_2408 ).

cnf(c_0_2431,negated_conjecture,
    l1_cat_1(esk454_0),
    i_0_2403 ).

cnf(c_0_2432,negated_conjecture,
    l1_cat_1(esk453_0),
    i_0_2405 ).

cnf(c_0_2433,negated_conjecture,
    l1_cat_1(esk452_0),
    i_0_2407 ).

cnf(c_0_2434,negated_conjecture,
    ( ~ v2_cat_1(k12_nattra_1(esk452_0,k12_nattra_1(esk453_0,esk454_0)))
    | ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk452_0,esk453_0),esk454_0))
    | ~ l1_cat_1(k12_nattra_1(esk452_0,k12_nattra_1(esk453_0,esk454_0)))
    | ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk452_0,esk453_0),esk454_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_2426,c_0_2427]),c_0_2428]),c_0_2429]),c_0_2430]),c_0_2431]),c_0_2432]),c_0_2433])]) ).

cnf(c_0_2435,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_739 ).

cnf(c_0_2436,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk452_0,k12_nattra_1(esk453_0,esk454_0)))
    | ~ v2_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ l1_cat_1(k12_nattra_1(esk452_0,k12_nattra_1(esk453_0,esk454_0)))
    | ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk452_0,esk453_0),esk454_0))
    | ~ l1_cat_1(k11_cat_2(esk452_0,esk453_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2434,c_0_2435]),c_0_2428]),c_0_2431])]) ).

cnf(c_0_2437,plain,
    ( ~ v2_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ v2_cat_1(k12_nattra_1(esk453_0,esk454_0))
    | ~ l1_cat_1(k12_nattra_1(esk452_0,k12_nattra_1(esk453_0,esk454_0)))
    | ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk452_0,esk453_0),esk454_0))
    | ~ l1_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ l1_cat_1(k12_nattra_1(esk453_0,esk454_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2436,c_0_2435]),c_0_2430]),c_0_2433])]) ).

cnf(c_0_2438,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_738 ).

cnf(c_0_2439,plain,
    ( ~ v2_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ v2_cat_1(k12_nattra_1(esk453_0,esk454_0))
    | ~ l1_cat_1(k12_nattra_1(esk452_0,k12_nattra_1(esk453_0,esk454_0)))
    | ~ l1_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ l1_cat_1(k12_nattra_1(esk453_0,esk454_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2437,c_0_2438]),c_0_2428]),c_0_2431])]) ).

cnf(c_0_2440,plain,
    ( ~ v2_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ v2_cat_1(k12_nattra_1(esk453_0,esk454_0))
    | ~ l1_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ l1_cat_1(k12_nattra_1(esk453_0,esk454_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2439,c_0_2438]),c_0_2430]),c_0_2433])]) ).

cnf(c_0_2441,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_943 ).

cnf(c_0_2442,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk453_0,esk454_0))
    | ~ l1_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ l1_cat_1(k12_nattra_1(esk453_0,esk454_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_2440,c_0_2441]),c_0_2429]),c_0_2430]),c_0_2432]),c_0_2433])]) ).

cnf(c_0_2443,plain,
    ( ~ l1_cat_1(k11_cat_2(esk452_0,esk453_0))
    | ~ l1_cat_1(k12_nattra_1(esk453_0,esk454_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_2442,c_0_2435]),c_0_2428]),c_0_2429]),c_0_2431]),c_0_2432])]) ).

cnf(c_0_2444,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_730 ).

cnf(c_0_2445,plain,
    ~ l1_cat_1(k12_nattra_1(esk453_0,esk454_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_2443,c_0_2444]),c_0_2429]),c_0_2430]),c_0_2432]),c_0_2433])]) ).

cnf(c_0_2446,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_2445,c_0_2438]),c_0_2428]),c_0_2429]),c_0_2431]),c_0_2432])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : CAT025+2 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 20:39:36 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.43/0.61  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.43/0.61  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.43/0.61  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.43/0.61  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.59/3.86  # ENIGMATIC: Solved by autoschedule-lgb:
% 6.59/3.86  # No SInE strategy applied
% 6.59/3.86  # Trying AutoSched0 for 150 seconds
% 6.59/3.86  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 6.59/3.86  # and selection function SelectComplexExceptUniqMaxHorn.
% 6.59/3.86  #
% 6.59/3.86  # Preprocessing time       : 0.024 s
% 6.59/3.86  # Presaturation interreduction done
% 6.59/3.86  
% 6.59/3.86  # Proof found!
% 6.59/3.86  # SZS status Theorem
% 6.59/3.86  # SZS output start CNFRefutation
% See solution above
% 6.59/3.86  # Training examples: 0 positive, 0 negative
% 6.59/3.86  
% 6.59/3.86  # -------------------------------------------------
% 6.59/3.86  # User time                : 0.028 s
% 6.59/3.86  # System time              : 0.006 s
% 6.59/3.86  # Total time               : 0.034 s
% 6.59/3.86  # Maximum resident set size: 7124 pages
% 6.59/3.86  
%------------------------------------------------------------------------------