TSTP Solution File: LAT303+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT303+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 04:29:13 EDT 2022

% Result   : Theorem 15.73s 6.44s
% Output   : CNFRefutation 15.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   20
% Syntax   : Number of clauses     :   60 (  20 unt;  24 nHn;  60 RR)
%            Number of literals    :  151 (   6 equ;  74 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   45 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5077,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X1,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_5077) ).

cnf(i_0_4063,negated_conjecture,
    m1_subset_1(esk623_0,u1_struct_0(esk622_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_4063) ).

cnf(i_0_4066,negated_conjecture,
    ~ v3_struct_0(esk622_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_4066) ).

cnf(i_0_1076,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_1076) ).

cnf(i_0_1087,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_1087) ).

cnf(i_0_4064,negated_conjecture,
    l3_lattices(esk622_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_4064) ).

cnf(i_0_475,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_struct_0(X2)
    | ~ r1_rlvect_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_475) ).

cnf(i_0_2118,plain,
    ( k6_domain_1(X1,X2) = k1_tarski(X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_2118) ).

cnf(i_0_4062,negated_conjecture,
    m2_filter_2(k6_domain_1(u1_struct_0(esk622_0),esk623_0),esk622_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_4062) ).

cnf(i_0_6701,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_6701) ).

cnf(i_0_3597,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_3597) ).

cnf(i_0_4065,negated_conjecture,
    v10_lattices(esk622_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_4065) ).

cnf(i_0_2123,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_2123) ).

cnf(i_0_2736,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_2736) ).

cnf(i_0_3213,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_3213) ).

cnf(i_0_974,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_974) ).

cnf(i_0_1242,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_1242) ).

cnf(i_0_1478,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_1478) ).

cnf(i_0_6166,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_6166) ).

cnf(i_0_4061,negated_conjecture,
    ~ v13_lattices(esk622_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-9kwzb5f8/lgb.p',i_0_4061) ).

cnf(c_0_6722,plain,
    ( v3_struct_0(X1)
    | r1_rlvect_1(X1,X2)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_5077 ).

cnf(c_0_6723,negated_conjecture,
    m1_subset_1(esk623_0,u1_struct_0(esk622_0)),
    i_0_4063 ).

cnf(c_0_6724,negated_conjecture,
    ~ v3_struct_0(esk622_0),
    i_0_4066 ).

cnf(c_0_6725,plain,
    ( l1_struct_0(X1)
    | ~ l1_lattices(X1) ),
    i_0_1076 ).

cnf(c_0_6726,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_1087 ).

cnf(c_0_6727,negated_conjecture,
    ( r1_rlvect_1(esk622_0,esk623_0)
    | ~ l1_struct_0(esk622_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6722,c_0_6723]),c_0_6724]) ).

cnf(c_0_6728,plain,
    ( l1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_6725,c_0_6726]) ).

cnf(c_0_6729,negated_conjecture,
    l3_lattices(esk622_0),
    i_0_4064 ).

cnf(c_0_6730,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_struct_0(X2)
    | ~ r1_rlvect_1(X2,X1) ),
    i_0_475 ).

cnf(c_0_6731,plain,
    r1_rlvect_1(esk622_0,esk623_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6727,c_0_6728]),c_0_6729])]) ).

cnf(c_0_6732,plain,
    ( k6_domain_1(X1,X2) = k1_tarski(X2)
    | v1_xboole_0(X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_2118 ).

cnf(c_0_6733,plain,
    ( r2_hidden(esk623_0,u1_struct_0(esk622_0))
    | ~ l1_struct_0(esk622_0) ),
    inference(spm,[status(thm)],[c_0_6730,c_0_6731]) ).

cnf(c_0_6734,negated_conjecture,
    m2_filter_2(k6_domain_1(u1_struct_0(esk622_0),esk623_0),esk622_0),
    i_0_4062 ).

cnf(c_0_6735,negated_conjecture,
    ( k6_domain_1(u1_struct_0(esk622_0),esk623_0) = k1_tarski(esk623_0)
    | v1_xboole_0(u1_struct_0(esk622_0)) ),
    inference(spm,[status(thm)],[c_0_6732,c_0_6723]) ).

cnf(c_0_6736,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_6701 ).

cnf(c_0_6737,plain,
    r2_hidden(esk623_0,u1_struct_0(esk622_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6733,c_0_6728]),c_0_6729])]) ).

cnf(c_0_6738,negated_conjecture,
    ( v1_xboole_0(u1_struct_0(esk622_0))
    | m2_filter_2(k1_tarski(esk623_0),esk622_0) ),
    inference(spm,[status(thm)],[c_0_6734,c_0_6735]) ).

cnf(c_0_6739,plain,
    ~ v1_xboole_0(u1_struct_0(esk622_0)),
    inference(spm,[status(thm)],[c_0_6736,c_0_6737]) ).

cnf(c_0_6740,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m2_filter_2(X2,X1) ),
    i_0_3597 ).

cnf(c_0_6741,negated_conjecture,
    m2_filter_2(k1_tarski(esk623_0),esk622_0),
    inference(sr,[status(thm)],[c_0_6738,c_0_6739]) ).

cnf(c_0_6742,negated_conjecture,
    v10_lattices(esk622_0),
    i_0_4065 ).

cnf(c_0_6743,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(X2,X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_filter_2(X2,X1) ),
    i_0_2123 ).

cnf(c_0_6744,negated_conjecture,
    m1_filter_2(k1_tarski(esk623_0),k1_lattice2(esk622_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6740,c_0_6741]),c_0_6742]),c_0_6729])]),c_0_6724]) ).

cnf(c_0_6745,plain,
    ( v3_struct_0(X1)
    | v14_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1) ),
    i_0_2736 ).

cnf(c_0_6746,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1) ),
    i_0_3213 ).

cnf(c_0_6747,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_974 ).

cnf(c_0_6748,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_1242 ).

cnf(c_0_6749,plain,
    ( m1_filter_0(k1_tarski(esk623_0),k1_lattice2(esk622_0))
    | v3_struct_0(k1_lattice2(esk622_0))
    | ~ v10_lattices(k1_lattice2(esk622_0))
    | ~ l3_lattices(k1_lattice2(esk622_0)) ),
    inference(spm,[status(thm)],[c_0_6743,c_0_6744]) ).

cnf(c_0_6750,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_1478 ).

cnf(c_0_6751,plain,
    ( v14_lattices(k1_lattice2(X1))
    | v3_struct_0(X1)
    | ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),k1_lattice2(X1))
    | ~ v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6745,c_0_6746]),c_0_6747]),c_0_6748]) ).

cnf(c_0_6752,negated_conjecture,
    k6_domain_1(u1_struct_0(esk622_0),esk623_0) = k1_tarski(esk623_0),
    inference(sr,[status(thm)],[c_0_6735,c_0_6739]) ).

cnf(c_0_6753,plain,
    ( m1_filter_0(k1_tarski(esk623_0),k1_lattice2(esk622_0))
    | v3_struct_0(k1_lattice2(esk622_0))
    | ~ l3_lattices(k1_lattice2(esk622_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6749,c_0_6750]),c_0_6742]),c_0_6729])]),c_0_6724]) ).

cnf(c_0_6754,negated_conjecture,
    ( v14_lattices(k1_lattice2(esk622_0))
    | ~ m1_filter_0(k1_tarski(esk623_0),k1_lattice2(esk622_0))
    | ~ v10_lattices(k1_lattice2(esk622_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6751,c_0_6752]),c_0_6729]),c_0_6723])]),c_0_6724]) ).

cnf(c_0_6755,plain,
    ( m1_filter_0(k1_tarski(esk623_0),k1_lattice2(esk622_0))
    | v3_struct_0(k1_lattice2(esk622_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6753,c_0_6747]),c_0_6729])]) ).

cnf(c_0_6756,plain,
    ( v14_lattices(k1_lattice2(esk622_0))
    | v3_struct_0(k1_lattice2(esk622_0))
    | ~ v10_lattices(k1_lattice2(esk622_0)) ),
    inference(spm,[status(thm)],[c_0_6754,c_0_6755]) ).

cnf(c_0_6757,plain,
    ( v3_struct_0(X1)
    | v13_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1)
    | ~ v14_lattices(k1_lattice2(X1)) ),
    i_0_6166 ).

cnf(c_0_6758,plain,
    ( v14_lattices(k1_lattice2(esk622_0))
    | v3_struct_0(k1_lattice2(esk622_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6756,c_0_6750]),c_0_6742]),c_0_6729])]),c_0_6724]) ).

cnf(c_0_6759,negated_conjecture,
    ~ v13_lattices(esk622_0),
    i_0_4061 ).

cnf(c_0_6760,plain,
    v3_struct_0(k1_lattice2(esk622_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_6757,c_0_6758]),c_0_6742]),c_0_6729])]),c_0_6759]),c_0_6724]) ).

cnf(c_0_6761,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6748,c_0_6760]),c_0_6729])]),c_0_6724]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LAT303+4 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n018.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun 30 03:30:23 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.44  # ENIGMATIC: Selected SinE mode:
% 1.35/1.53  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/1.53  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.35/1.53  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.35/1.53  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 15.73/6.44  # ENIGMATIC: Solved by autoschedule-lgb:
% 15.73/6.44  # No SInE strategy applied
% 15.73/6.44  # Trying AutoSched0 for 148 seconds
% 15.73/6.44  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 15.73/6.44  # and selection function SelectCQIPrecWNTNp.
% 15.73/6.44  #
% 15.73/6.44  # Preprocessing time       : 0.035 s
% 15.73/6.44  # Presaturation interreduction done
% 15.73/6.44  
% 15.73/6.44  # Proof found!
% 15.73/6.44  # SZS status Theorem
% 15.73/6.44  # SZS output start CNFRefutation
% See solution above
% 15.73/6.44  # Training examples: 0 positive, 0 negative
% 15.73/6.44  
% 15.73/6.44  # -------------------------------------------------
% 15.73/6.44  # User time                : 0.458 s
% 15.73/6.44  # System time              : 0.022 s
% 15.73/6.44  # Total time               : 0.480 s
% 15.73/6.44  # Maximum resident set size: 7128 pages
% 15.73/6.44  
%------------------------------------------------------------------------------