TSTP Solution File: SEU441+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU441+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 : Tue Jul 19 08:42:34 EDT 2022

% Result   : Theorem 10.34s 3.73s
% Output   : CNFRefutation 10.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   39 (   8 unt;   0 nHn;  37 RR)
%            Number of literals    :   96 (  16 equ;  71 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-5 aty)
%            Number of variables   :   53 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_2972,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk453_0,esk454_0,esk455_0,esk456_0,esk457_0)) != k10_relset_1(esk454_0,esk455_0,esk457_0,k2_funct_5(esk456_0))
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk453_0,esk454_0,esk455_0,esk456_0,esk457_0)),k2_funct_5(esk457_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_2972) ).

cnf(i_0_1961,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_1961) ).

cnf(i_0_1096,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_1096) ).

cnf(i_0_17,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_17) ).

cnf(i_0_1075,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_1075) ).

cnf(i_0_2733,plain,
    ( r1_tarski(k2_relat_1(k5_relat_1(X1,X2)),k2_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_2733) ).

cnf(i_0_1665,plain,
    ( k2_relat_1(k5_relat_1(X1,X2)) = k9_relat_1(X2,k2_relat_1(X1))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_1665) ).

cnf(i_0_676,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_676) ).

cnf(i_0_2974,negated_conjecture,
    m2_relset_1(esk456_0,esk453_0,esk454_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_2974) ).

cnf(i_0_2973,negated_conjecture,
    m2_relset_1(esk457_0,esk454_0,esk455_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_2973) ).

cnf(i_0_1098,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_1098) ).

cnf(i_0_640,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-07srcfdk/lgb.p',i_0_640) ).

cnf(c_0_2987,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk453_0,esk454_0,esk455_0,esk456_0,esk457_0)) != k10_relset_1(esk454_0,esk455_0,esk457_0,k2_funct_5(esk456_0))
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk453_0,esk454_0,esk455_0,esk456_0,esk457_0)),k2_funct_5(esk457_0)) ),
    i_0_2972 ).

cnf(c_0_2988,plain,
    ( k2_funct_5(X1) = k2_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    i_0_1961 ).

cnf(c_0_2989,negated_conjecture,
    ( k2_funct_5(k9_relset_2(esk453_0,esk454_0,esk455_0,esk456_0,esk457_0)) != k10_relset_1(esk454_0,esk455_0,esk457_0,k2_funct_5(esk456_0))
    | ~ v1_relat_1(esk457_0)
    | ~ r1_tarski(k2_funct_5(k9_relset_2(esk453_0,esk454_0,esk455_0,esk456_0,esk457_0)),k2_relat_1(esk457_0)) ),
    inference(spm,[status(thm)],[c_0_2987,c_0_2988]) ).

cnf(c_0_2990,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_1096 ).

cnf(c_0_2991,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    i_0_17 ).

cnf(c_0_2992,negated_conjecture,
    ( k10_relset_1(esk454_0,esk455_0,esk457_0,k2_funct_5(esk456_0)) != k2_funct_5(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_subset_1(esk457_0,k1_zfmisc_1(k2_zfmisc_1(esk454_0,esk455_0)))
    | ~ m1_subset_1(esk456_0,k1_zfmisc_1(k2_zfmisc_1(esk453_0,esk454_0)))
    | ~ r1_tarski(k2_funct_5(k5_relat_1(esk456_0,esk457_0)),k2_relat_1(esk457_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2989,c_0_2990]),c_0_2991]) ).

cnf(c_0_2993,plain,
    ( k10_relset_1(esk454_0,esk455_0,esk457_0,k2_relat_1(esk456_0)) != k2_funct_5(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_subset_1(esk457_0,k1_zfmisc_1(k2_zfmisc_1(esk454_0,esk455_0)))
    | ~ m1_subset_1(esk456_0,k1_zfmisc_1(k2_zfmisc_1(esk453_0,esk454_0)))
    | ~ r1_tarski(k2_funct_5(k5_relat_1(esk456_0,esk457_0)),k2_relat_1(esk457_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2992,c_0_2988]),c_0_2991]) ).

cnf(c_0_2994,plain,
    ( k10_relset_1(esk454_0,esk455_0,esk457_0,k2_relat_1(esk456_0)) != k2_relat_1(k5_relat_1(esk456_0,esk457_0))
    | ~ v1_relat_1(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_subset_1(esk457_0,k1_zfmisc_1(k2_zfmisc_1(esk454_0,esk455_0)))
    | ~ m1_subset_1(esk456_0,k1_zfmisc_1(k2_zfmisc_1(esk453_0,esk454_0)))
    | ~ r1_tarski(k2_relat_1(k5_relat_1(esk456_0,esk457_0)),k2_relat_1(esk457_0)) ),
    inference(spm,[status(thm)],[c_0_2993,c_0_2988]) ).

cnf(c_0_2995,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_1075 ).

cnf(c_0_2996,plain,
    ( k9_relat_1(esk457_0,k2_relat_1(esk456_0)) != k2_relat_1(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_relset_1(esk457_0,esk454_0,esk455_0)
    | ~ v1_relat_1(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_subset_1(esk457_0,k1_zfmisc_1(k2_zfmisc_1(esk454_0,esk455_0)))
    | ~ m1_subset_1(esk456_0,k1_zfmisc_1(k2_zfmisc_1(esk453_0,esk454_0)))
    | ~ r1_tarski(k2_relat_1(k5_relat_1(esk456_0,esk457_0)),k2_relat_1(esk457_0)) ),
    inference(spm,[status(thm)],[c_0_2994,c_0_2995]) ).

cnf(c_0_2997,plain,
    ( r1_tarski(k2_relat_1(k5_relat_1(X1,X2)),k2_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_2733 ).

cnf(c_0_2998,plain,
    ( k9_relat_1(esk457_0,k2_relat_1(esk456_0)) != k2_relat_1(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_relset_1(esk457_0,esk454_0,esk455_0)
    | ~ v1_relat_1(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_subset_1(esk457_0,k1_zfmisc_1(k2_zfmisc_1(esk454_0,esk455_0)))
    | ~ m1_subset_1(esk456_0,k1_zfmisc_1(k2_zfmisc_1(esk453_0,esk454_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2996,c_0_2997]),c_0_2991]),c_0_2991]) ).

cnf(c_0_2999,plain,
    ( k2_relat_1(k5_relat_1(X1,X2)) = k9_relat_1(X2,k2_relat_1(X1))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_1665 ).

cnf(c_0_3000,plain,
    ( ~ m1_relset_1(esk457_0,esk454_0,esk455_0)
    | ~ v1_relat_1(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_subset_1(esk457_0,k1_zfmisc_1(k2_zfmisc_1(esk454_0,esk455_0)))
    | ~ m1_subset_1(esk456_0,k1_zfmisc_1(k2_zfmisc_1(esk453_0,esk454_0))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_2998,c_0_2999]),c_0_2991]),c_0_2991]) ).

cnf(c_0_3001,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_676 ).

cnf(c_0_3002,negated_conjecture,
    m2_relset_1(esk456_0,esk453_0,esk454_0),
    i_0_2974 ).

cnf(c_0_3003,plain,
    ( ~ m1_relset_1(esk457_0,esk454_0,esk455_0)
    | ~ v1_relat_1(k5_relat_1(esk456_0,esk457_0))
    | ~ m1_subset_1(esk457_0,k1_zfmisc_1(k2_zfmisc_1(esk454_0,esk455_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3000,c_0_3001]),c_0_3002])]) ).

cnf(c_0_3004,negated_conjecture,
    m2_relset_1(esk457_0,esk454_0,esk455_0),
    i_0_2973 ).

cnf(c_0_3005,plain,
    ( ~ m1_relset_1(esk457_0,esk454_0,esk455_0)
    | ~ v1_relat_1(k5_relat_1(esk456_0,esk457_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3003,c_0_3001]),c_0_3004])]) ).

cnf(c_0_3006,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1098 ).

cnf(c_0_3007,plain,
    ~ v1_relat_1(k5_relat_1(esk456_0,esk457_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3005,c_0_3006]),c_0_3004])]) ).

cnf(c_0_3008,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_640 ).

cnf(c_0_3009,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_2991,c_0_3001]) ).

cnf(c_0_3010,plain,
    ( ~ v1_relat_1(esk457_0)
    | ~ v1_relat_1(esk456_0) ),
    inference(spm,[status(thm)],[c_0_3007,c_0_3008]) ).

cnf(c_0_3011,negated_conjecture,
    v1_relat_1(esk457_0),
    inference(spm,[status(thm)],[c_0_3009,c_0_3004]) ).

cnf(c_0_3012,plain,
    ~ v1_relat_1(esk456_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3010,c_0_3011])]) ).

cnf(c_0_3013,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3009,c_0_3002]),c_0_3012]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU441+2 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.15  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.37  % Computer : n008.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Sat Jun 18 19:17:24 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.21/0.48  # ENIGMATIC: Selected SinE mode:
% 0.45/0.66  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.66  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.45/0.66  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.45/0.66  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.34/3.73  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.34/3.73  # No SInE strategy applied
% 10.34/3.73  # Trying AutoSched0 for 150 seconds
% 10.34/3.73  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.34/3.73  # and selection function SelectComplexExceptUniqMaxHorn.
% 10.34/3.73  #
% 10.34/3.73  # Preprocessing time       : 0.025 s
% 10.34/3.73  # Presaturation interreduction done
% 10.34/3.73  
% 10.34/3.73  # Proof found!
% 10.34/3.73  # SZS status Theorem
% 10.34/3.73  # SZS output start CNFRefutation
% See solution above
% 10.34/3.73  # Training examples: 0 positive, 0 negative
% 10.34/3.73  
% 10.34/3.73  # -------------------------------------------------
% 10.34/3.73  # User time                : 0.054 s
% 10.34/3.73  # System time              : 0.007 s
% 10.34/3.73  # Total time               : 0.061 s
% 10.34/3.73  # Maximum resident set size: 7128 pages
% 10.34/3.73  
%------------------------------------------------------------------------------