TSTP Solution File: LAT300+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n011.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 : Sun Jul 17 04:29:08 EDT 2022

% Result   : Theorem 8.01s 2.38s
% Output   : CNFRefutation 8.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   38 (  17 unt;  10 nHn;  38 RR)
%            Number of literals    :   95 (   0 equ;  49 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_26) ).

cnf(i_0_2,negated_conjecture,
    m2_filter_2(esk2_0,esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    l3_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_3) ).

cnf(i_0_4,negated_conjecture,
    v10_lattices(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_5) ).

cnf(i_0_23,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_23) ).

cnf(i_0_28,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_28) ).

cnf(i_0_27,plain,
    ( v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_27) ).

cnf(i_0_19,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_19) ).

cnf(i_0_54,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m1_subset_1(X3,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_struct_0(X3,X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_54) ).

cnf(i_0_34,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m1_struct_0(esk7_2(X1,X2),X1,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_34) ).

cnf(i_0_60,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_60) ).

cnf(i_0_1,negated_conjecture,
    ( ~ r2_hidden(X1,esk2_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_1) ).

cnf(i_0_57,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-1tzl1cb9/lgb.p',i_0_57) ).

cnf(c_0_75,plain,
    ( v3_struct_0(X1)
    | m2_lattice4(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_26 ).

cnf(c_0_76,negated_conjecture,
    m2_filter_2(esk2_0,esk1_0),
    i_0_2 ).

cnf(c_0_77,negated_conjecture,
    l3_lattices(esk1_0),
    i_0_3 ).

cnf(c_0_78,negated_conjecture,
    v10_lattices(esk1_0),
    i_0_4 ).

cnf(c_0_79,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_5 ).

cnf(c_0_80,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_23 ).

cnf(c_0_81,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m2_lattice4(X2,X1) ),
    i_0_28 ).

cnf(c_0_82,negated_conjecture,
    m2_lattice4(esk2_0,esk1_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78])]),c_0_79]) ).

cnf(c_0_83,plain,
    ( v3_struct_0(X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v1_xboole_0(X2)
    | ~ m2_filter_2(X2,X1) ),
    i_0_27 ).

cnf(c_0_84,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    i_0_19 ).

cnf(c_0_85,negated_conjecture,
    l1_lattices(esk1_0),
    inference(spm,[status(thm)],[c_0_80,c_0_77]) ).

cnf(c_0_86,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m1_subset_1(X3,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_struct_0(X3,X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_54 ).

cnf(c_0_87,plain,
    m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_77]),c_0_78])]),c_0_79]) ).

cnf(c_0_88,negated_conjecture,
    ~ v1_xboole_0(esk2_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_76]),c_0_77]),c_0_78])]),c_0_79]) ).

cnf(c_0_89,plain,
    l1_struct_0(esk1_0),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_90,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m1_struct_0(esk7_2(X1,X2),X1,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
    i_0_34 ).

cnf(c_0_91,plain,
    ( m1_subset_1(X1,esk2_0)
    | ~ m1_struct_0(X1,esk1_0,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_79]),c_0_88]),c_0_89])]) ).

cnf(c_0_92,plain,
    m1_struct_0(esk7_2(esk1_0,esk2_0),esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_87]),c_0_79]),c_0_88]),c_0_89])]) ).

cnf(c_0_93,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_60 ).

cnf(c_0_94,negated_conjecture,
    ( ~ r2_hidden(X1,esk2_0)
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
    i_0_1 ).

cnf(c_0_95,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_57 ).

cnf(c_0_96,plain,
    m1_subset_1(esk7_2(esk1_0,esk2_0),esk2_0),
    inference(spm,[status(thm)],[c_0_91,c_0_92]) ).

cnf(c_0_97,plain,
    ~ r2_hidden(X1,esk2_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_87]),c_0_94]) ).

cnf(c_0_98,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_88]),c_0_97]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : LAT300+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n011.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 : Wed Jun 29 14:20:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected complete mode:
% 8.01/2.38  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.01/2.38  # No SInE strategy applied
% 8.01/2.38  # Trying AutoSched0 for 150 seconds
% 8.01/2.38  # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 8.01/2.38  # and selection function SelectComplexG.
% 8.01/2.38  #
% 8.01/2.38  # Preprocessing time       : 0.024 s
% 8.01/2.38  
% 8.01/2.38  # Proof found!
% 8.01/2.38  # SZS status Theorem
% 8.01/2.38  # SZS output start CNFRefutation
% See solution above
% 8.01/2.38  # Training examples: 0 positive, 0 negative
% 8.01/2.38  
% 8.01/2.38  # -------------------------------------------------
% 8.01/2.38  # User time                : 0.027 s
% 8.01/2.38  # System time              : 0.006 s
% 8.01/2.38  # Total time               : 0.033 s
% 8.01/2.38  # Maximum resident set size: 7128 pages
% 8.01/2.38  
%------------------------------------------------------------------------------