TSTP Solution File: CAT032+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CAT032+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 7.88s 4.88s
% Output   : CNFRefutation 7.88s
% 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_702,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-ywe99x30/lgb.p',i_0_702) ).

cnf(i_0_1045,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-ywe99x30/lgb.p',i_0_1045) ).

cnf(i_0_4016,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-ywe99x30/lgb.p',i_0_4016) ).

cnf(i_0_4056,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(esk653_0,k11_cat_2(esk654_0,esk655_0)),k11_cat_2(k12_nattra_1(esk653_0,esk654_0),k12_nattra_1(esk653_0,esk655_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ywe99x30/lgb.p',i_0_4056) ).

cnf(i_0_4058,negated_conjecture,
    v2_cat_1(esk655_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ywe99x30/lgb.p',i_0_4058) ).

cnf(i_0_4060,negated_conjecture,
    v2_cat_1(esk654_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ywe99x30/lgb.p',i_0_4060) ).

cnf(i_0_4062,negated_conjecture,
    v2_cat_1(esk653_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ywe99x30/lgb.p',i_0_4062) ).

cnf(i_0_4057,negated_conjecture,
    l1_cat_1(esk655_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ywe99x30/lgb.p',i_0_4057) ).

cnf(i_0_4059,negated_conjecture,
    l1_cat_1(esk654_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ywe99x30/lgb.p',i_0_4059) ).

cnf(i_0_4061,negated_conjecture,
    l1_cat_1(esk653_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ywe99x30/lgb.p',i_0_4061) ).

cnf(i_0_1278,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-ywe99x30/lgb.p',i_0_1278) ).

cnf(i_0_1011,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-ywe99x30/lgb.p',i_0_1011) ).

cnf(i_0_1021,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-ywe99x30/lgb.p',i_0_1021) ).

cnf(i_0_1020,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-ywe99x30/lgb.p',i_0_1020) ).

cnf(c_0_4077,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_702 ).

cnf(c_0_4078,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_1045 ).

cnf(c_0_4079,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_4016 ).

cnf(c_0_4080,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(esk653_0,k11_cat_2(esk654_0,esk655_0)),k11_cat_2(k12_nattra_1(esk653_0,esk654_0),k12_nattra_1(esk653_0,esk655_0))),
    i_0_4056 ).

cnf(c_0_4081,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_4077,c_0_4078]),c_0_4079]) ).

cnf(c_0_4082,negated_conjecture,
    v2_cat_1(esk655_0),
    i_0_4058 ).

cnf(c_0_4083,negated_conjecture,
    v2_cat_1(esk654_0),
    i_0_4060 ).

cnf(c_0_4084,negated_conjecture,
    v2_cat_1(esk653_0),
    i_0_4062 ).

cnf(c_0_4085,negated_conjecture,
    l1_cat_1(esk655_0),
    i_0_4057 ).

cnf(c_0_4086,negated_conjecture,
    l1_cat_1(esk654_0),
    i_0_4059 ).

cnf(c_0_4087,negated_conjecture,
    l1_cat_1(esk653_0),
    i_0_4061 ).

cnf(c_0_4088,negated_conjecture,
    ( ~ v2_cat_1(k11_cat_2(k12_nattra_1(esk653_0,esk654_0),k12_nattra_1(esk653_0,esk655_0)))
    | ~ v2_cat_1(k12_nattra_1(esk653_0,k11_cat_2(esk654_0,esk655_0)))
    | ~ l1_cat_1(k11_cat_2(k12_nattra_1(esk653_0,esk654_0),k12_nattra_1(esk653_0,esk655_0)))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,k11_cat_2(esk654_0,esk655_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_4080,c_0_4081]),c_0_4082]),c_0_4083]),c_0_4084]),c_0_4085]),c_0_4086]),c_0_4087])]) ).

cnf(c_0_4089,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_1278 ).

cnf(c_0_4090,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_1011 ).

cnf(c_0_4091,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk653_0,k11_cat_2(esk654_0,esk655_0)))
    | ~ v2_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ v2_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,k11_cat_2(esk654_0,esk655_0)))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk654_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4088,c_0_4089]),c_0_4090]) ).

cnf(c_0_4092,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_1021 ).

cnf(c_0_4093,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ v2_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ v2_cat_1(k11_cat_2(esk654_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,k11_cat_2(esk654_0,esk655_0)))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ l1_cat_1(k11_cat_2(esk654_0,esk655_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4091,c_0_4092]),c_0_4084]),c_0_4087])]) ).

cnf(c_0_4094,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_1020 ).

cnf(c_0_4095,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ v2_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ v2_cat_1(k11_cat_2(esk654_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ l1_cat_1(k11_cat_2(esk654_0,esk655_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4093,c_0_4094]),c_0_4084]),c_0_4087])]) ).

cnf(c_0_4096,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ v2_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ l1_cat_1(k11_cat_2(esk654_0,esk655_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_4095,c_0_4089]),c_0_4082]),c_0_4083]),c_0_4085]),c_0_4086])]) ).

cnf(c_0_4097,plain,
    ( ~ v2_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ l1_cat_1(k11_cat_2(esk654_0,esk655_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_4096,c_0_4092]),c_0_4082]),c_0_4084]),c_0_4085]),c_0_4087])]) ).

cnf(c_0_4098,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk654_0))
    | ~ l1_cat_1(k11_cat_2(esk654_0,esk655_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_4097,c_0_4092]),c_0_4083]),c_0_4084]),c_0_4086]),c_0_4087])]) ).

cnf(c_0_4099,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk653_0,esk655_0))
    | ~ l1_cat_1(k12_nattra_1(esk653_0,esk654_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_4098,c_0_4090]),c_0_4082]),c_0_4083]),c_0_4085]),c_0_4086])]) ).

cnf(c_0_4100,plain,
    ~ l1_cat_1(k12_nattra_1(esk653_0,esk654_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_4099,c_0_4094]),c_0_4082]),c_0_4084]),c_0_4085]),c_0_4087])]) ).

cnf(c_0_4101,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_4100,c_0_4094]),c_0_4083]),c_0_4084]),c_0_4086]),c_0_4087])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT032+3 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n029.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 17:41:01 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.69/0.89  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.89  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.69/0.89  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.69/0.89  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.88/4.88  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.88/4.88  # No SInE strategy applied
% 7.88/4.88  # Trying AutoSched0 for 149 seconds
% 7.88/4.88  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.88/4.88  # and selection function SelectComplexExceptUniqMaxHorn.
% 7.88/4.88  #
% 7.88/4.88  # Preprocessing time       : 0.024 s
% 7.88/4.88  # Presaturation interreduction done
% 7.88/4.88  
% 7.88/4.88  # Proof found!
% 7.88/4.88  # SZS status Theorem
% 7.88/4.88  # SZS output start CNFRefutation
% See solution above
% 7.88/4.88  # Training examples: 0 positive, 0 negative
% 7.88/4.88  
% 7.88/4.88  # -------------------------------------------------
% 7.88/4.88  # User time                : 0.029 s
% 7.88/4.88  # System time              : 0.005 s
% 7.88/4.88  # Total time               : 0.034 s
% 7.88/4.88  # Maximum resident set size: 7128 pages
% 7.88/4.88  
%------------------------------------------------------------------------------