TSTP Solution File: CAT025+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CAT025+1 : 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 23:58:57 EDT 2022

% Result   : Theorem 4.56s 2.31s
% Output   : CNFRefutation 4.56s
% 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    :  136 (   0 equ; 108 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_11,plain,
    ( r1_isocat_1(X1,X2)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ m2_cat_1(X3,X1,X2)
    | ~ v8_cat_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_11) ).

cnf(i_0_24,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)))
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_24) ).

cnf(i_0_72,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)))
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_72) ).

cnf(i_0_1,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(k11_cat_2(esk1_0,esk2_0),esk3_0),k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    l1_cat_1(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_2) ).

cnf(i_0_4,negated_conjecture,
    l1_cat_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_4) ).

cnf(i_0_6,negated_conjecture,
    l1_cat_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_6) ).

cnf(i_0_3,negated_conjecture,
    v2_cat_1(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_3) ).

cnf(i_0_5,negated_conjecture,
    v2_cat_1(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_5) ).

cnf(i_0_7,negated_conjecture,
    v2_cat_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_7) ).

cnf(i_0_19,plain,
    ( v2_cat_1(k12_nattra_1(X1,X2))
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_19) ).

cnf(i_0_18,plain,
    ( l1_cat_1(k12_nattra_1(X1,X2))
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_18) ).

cnf(i_0_17,plain,
    ( v2_cat_1(k11_cat_2(X1,X2))
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_17) ).

cnf(i_0_16,plain,
    ( l1_cat_1(k11_cat_2(X1,X2))
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qrnw4bsc/lgb.p',i_0_16) ).

cnf(c_0_87,plain,
    ( r1_isocat_1(X1,X2)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1)
    | ~ m2_cat_1(X3,X1,X2)
    | ~ v8_cat_1(X3,X1,X2) ),
    i_0_11 ).

cnf(c_0_88,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)))
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    i_0_24 ).

cnf(c_0_89,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)))
    | ~ v2_cat_1(X3)
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X3)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    i_0_72 ).

cnf(c_0_90,negated_conjecture,
    ~ r1_isocat_1(k12_nattra_1(k11_cat_2(esk1_0,esk2_0),esk3_0),k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0))),
    i_0_1 ).

cnf(c_0_91,plain,
    ( r1_isocat_1(k12_nattra_1(k11_cat_2(X1,X2),X3),k12_nattra_1(X1,k12_nattra_1(X2,X3)))
    | ~ 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)
    | ~ 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) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_92,negated_conjecture,
    l1_cat_1(esk3_0),
    i_0_2 ).

cnf(c_0_93,negated_conjecture,
    l1_cat_1(esk2_0),
    i_0_4 ).

cnf(c_0_94,negated_conjecture,
    l1_cat_1(esk1_0),
    i_0_6 ).

cnf(c_0_95,negated_conjecture,
    v2_cat_1(esk3_0),
    i_0_3 ).

cnf(c_0_96,negated_conjecture,
    v2_cat_1(esk2_0),
    i_0_5 ).

cnf(c_0_97,negated_conjecture,
    v2_cat_1(esk1_0),
    i_0_7 ).

cnf(c_0_98,negated_conjecture,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0)))
    | ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk1_0,esk2_0),esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0)))
    | ~ v2_cat_1(k12_nattra_1(k11_cat_2(esk1_0,esk2_0),esk3_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_90,c_0_91]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97])]) ).

cnf(c_0_99,plain,
    ( v2_cat_1(k12_nattra_1(X1,X2))
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    i_0_19 ).

cnf(c_0_100,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0)))
    | ~ l1_cat_1(k12_nattra_1(k11_cat_2(esk1_0,esk2_0),esk3_0))
    | ~ l1_cat_1(k11_cat_2(esk1_0,esk2_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0)))
    | ~ v2_cat_1(k11_cat_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_92]),c_0_95])]) ).

cnf(c_0_101,plain,
    ( l1_cat_1(k12_nattra_1(X1,X2))
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    i_0_18 ).

cnf(c_0_102,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0)))
    | ~ l1_cat_1(k11_cat_2(esk1_0,esk2_0))
    | ~ v2_cat_1(k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0)))
    | ~ v2_cat_1(k11_cat_2(esk1_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_92]),c_0_95])]) ).

cnf(c_0_103,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk1_0,k12_nattra_1(esk2_0,esk3_0)))
    | ~ l1_cat_1(k11_cat_2(esk1_0,esk2_0))
    | ~ l1_cat_1(k12_nattra_1(esk2_0,esk3_0))
    | ~ v2_cat_1(k11_cat_2(esk1_0,esk2_0))
    | ~ v2_cat_1(k12_nattra_1(esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_99]),c_0_94]),c_0_97])]) ).

cnf(c_0_104,plain,
    ( ~ l1_cat_1(k11_cat_2(esk1_0,esk2_0))
    | ~ l1_cat_1(k12_nattra_1(esk2_0,esk3_0))
    | ~ v2_cat_1(k11_cat_2(esk1_0,esk2_0))
    | ~ v2_cat_1(k12_nattra_1(esk2_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_101]),c_0_94]),c_0_97])]) ).

cnf(c_0_105,plain,
    ( v2_cat_1(k11_cat_2(X1,X2))
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    i_0_17 ).

cnf(c_0_106,plain,
    ( ~ l1_cat_1(k11_cat_2(esk1_0,esk2_0))
    | ~ l1_cat_1(k12_nattra_1(esk2_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk2_0,esk3_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_104,c_0_105]),c_0_93]),c_0_94]),c_0_96]),c_0_97])]) ).

cnf(c_0_107,plain,
    ( l1_cat_1(k11_cat_2(X1,X2))
    | ~ v2_cat_1(X2)
    | ~ v2_cat_1(X1)
    | ~ l1_cat_1(X2)
    | ~ l1_cat_1(X1) ),
    i_0_16 ).

cnf(c_0_108,plain,
    ( ~ l1_cat_1(k12_nattra_1(esk2_0,esk3_0))
    | ~ v2_cat_1(k12_nattra_1(esk2_0,esk3_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_106,c_0_107]),c_0_93]),c_0_94]),c_0_96]),c_0_97])]) ).

cnf(c_0_109,plain,
    ~ l1_cat_1(k12_nattra_1(esk2_0,esk3_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_108,c_0_99]),c_0_92]),c_0_93]),c_0_95]),c_0_96])]) ).

cnf(c_0_110,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_109,c_0_101]),c_0_92]),c_0_93]),c_0_95]),c_0_96])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CAT025+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 22:43:15 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 4.56/2.31  # ENIGMATIC: Solved by autoschedule-lgb:
% 4.56/2.31  # No SInE strategy applied
% 4.56/2.31  # Trying AutoSched0 for 150 seconds
% 4.56/2.31  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 4.56/2.31  # and selection function SelectComplexExceptUniqMaxHorn.
% 4.56/2.31  #
% 4.56/2.31  # Preprocessing time       : 0.021 s
% 4.56/2.31  # Presaturation interreduction done
% 4.56/2.31  
% 4.56/2.31  # Proof found!
% 4.56/2.31  # SZS status Theorem
% 4.56/2.31  # SZS output start CNFRefutation
% See solution above
% 4.56/2.31  # Training examples: 0 positive, 0 negative
% 4.56/2.31  
% 4.56/2.31  # -------------------------------------------------
% 4.56/2.31  # User time                : 0.023 s
% 4.56/2.31  # System time              : 0.005 s
% 4.56/2.31  # Total time               : 0.029 s
% 4.56/2.31  # Maximum resident set size: 7120 pages
% 4.56/2.31  
%------------------------------------------------------------------------------