TSTP Solution File: LAT291+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT291+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n006.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 04:28:58 EDT 2022

% Result   : Theorem 12.52s 5.94s
% Output   : CNFRefutation 12.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   29 (  18 unt;   9 nHn;  27 RR)
%            Number of literals    :   67 (  12 equ;  31 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-4 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_922,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_922) ).

cnf(i_0_964,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_964) ).

cnf(i_0_4281,negated_conjecture,
    l3_lattices(esk720_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4281) ).

cnf(i_0_4285,negated_conjecture,
    ~ v3_struct_0(esk720_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4285) ).

cnf(i_0_4142,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4142) ).

cnf(i_0_4283,negated_conjecture,
    v17_lattices(esk720_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4283) ).

cnf(i_0_4284,negated_conjecture,
    v10_lattices(esk720_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4284) ).

cnf(i_0_4282,negated_conjecture,
    ~ v3_realset2(esk720_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4282) ).

cnf(i_0_4279,plain,
    ( k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4279) ).

cnf(i_0_3627,plain,
    ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2))
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_3627) ).

cnf(i_0_4443,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4443) ).

cnf(i_0_4280,negated_conjecture,
    k8_funct_2(u1_struct_0(esk720_0),k1_zfmisc_1(k7_lopclset(esk720_0)),k9_lopclset(esk720_0),k6_lattices(esk720_0)) != k7_lopclset(esk720_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2_mbud/lgb.p',i_0_4280) ).

cnf(c_0_4456,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_922 ).

cnf(c_0_4457,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_964 ).

cnf(c_0_4458,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_4456,c_0_4457]) ).

cnf(c_0_4459,negated_conjecture,
    l3_lattices(esk720_0),
    i_0_4281 ).

cnf(c_0_4460,negated_conjecture,
    ~ v3_struct_0(esk720_0),
    i_0_4285 ).

cnf(c_0_4461,plain,
    ( k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_4142 ).

cnf(c_0_4462,negated_conjecture,
    v17_lattices(esk720_0),
    i_0_4283 ).

cnf(c_0_4463,negated_conjecture,
    v10_lattices(esk720_0),
    i_0_4284 ).

cnf(c_0_4464,negated_conjecture,
    ~ v3_realset2(esk720_0),
    i_0_4282 ).

cnf(c_0_4465,plain,
    ( k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1) ),
    i_0_4279 ).

cnf(c_0_4466,plain,
    ( k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2))
    | v3_struct_0(X1)
    | v3_realset2(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v17_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_3627 ).

cnf(c_0_4467,negated_conjecture,
    m1_subset_1(k5_lattices(esk720_0),u1_struct_0(esk720_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_4458,c_0_4459]),c_0_4460]) ).

cnf(c_0_4468,negated_conjecture,
    k8_funct_2(u1_struct_0(esk720_0),k1_zfmisc_1(k7_lopclset(esk720_0)),k9_lopclset(esk720_0),k5_lattices(esk720_0)) = k1_xboole_0,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4461,c_0_4462]),c_0_4463]),c_0_4459])]),c_0_4464]),c_0_4460]) ).

cnf(c_0_4469,plain,
    k4_xboole_0(X1,k1_xboole_0) = X1,
    i_0_4443 ).

cnf(c_0_4470,negated_conjecture,
    k7_lattices(esk720_0,k5_lattices(esk720_0)) = k6_lattices(esk720_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4465,c_0_4462]),c_0_4463]),c_0_4459])]),c_0_4460]) ).

cnf(c_0_4471,negated_conjecture,
    k8_funct_2(u1_struct_0(esk720_0),k1_zfmisc_1(k7_lopclset(esk720_0)),k9_lopclset(esk720_0),k6_lattices(esk720_0)) != k7_lopclset(esk720_0),
    i_0_4280 ).

cnf(c_0_4472,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[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_4466,c_0_4467]),c_0_4468]),c_0_4469]),c_0_4470]),c_0_4462]),c_0_4463]),c_0_4459])]),c_0_4471]),c_0_4464]),c_0_4460]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT291+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n006.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 16:07:15 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.30/1.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.30/1.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.30/1.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.30/1.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 12.52/5.94  # ENIGMATIC: Solved by autoschedule-lgb:
% 12.52/5.94  # No SInE strategy applied
% 12.52/5.94  # Trying AutoSched0 for 149 seconds
% 12.52/5.94  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.52/5.94  # and selection function SelectComplexExceptUniqMaxHorn.
% 12.52/5.94  #
% 12.52/5.94  # Preprocessing time       : 0.032 s
% 12.52/5.94  # Presaturation interreduction done
% 12.52/5.94  
% 12.52/5.94  # Proof found!
% 12.52/5.94  # SZS status Theorem
% 12.52/5.94  # SZS output start CNFRefutation
% See solution above
% 12.52/5.94  # Training examples: 0 positive, 0 negative
% 12.52/5.94  
% 12.52/5.94  # -------------------------------------------------
% 12.52/5.94  # User time                : 0.132 s
% 12.52/5.94  # System time              : 0.009 s
% 12.52/5.94  # Total time               : 0.142 s
% 12.52/5.94  # Maximum resident set size: 7128 pages
% 12.52/5.94  
%------------------------------------------------------------------------------