TSTP Solution File: LAT338+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT338+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 04:29:54 EDT 2022

% Result   : Theorem 35.63s 7.61s
% Output   : CNFRefutation 35.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   45 (   6 unt;  30 nHn;  31 RR)
%            Number of literals    :  137 (   4 equ;  64 neg)
%            Maximal clause size   :    6 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   52 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_1314,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_1314) ).

cnf(i_0_1319,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_1319) ).

cnf(i_0_4656,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_4656) ).

cnf(i_0_4659,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_4659) ).

cnf(i_0_806,plain,
    ( k12_conlat_1(X1,X2) = X2
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_806) ).

cnf(i_0_1320,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_1320) ).

cnf(i_0_4731,negated_conjecture,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_4731) ).

cnf(i_0_4733,negated_conjecture,
    l2_conlat_1(esk706_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_4733) ).

cnf(i_0_4734,negated_conjecture,
    ~ v3_conlat_1(esk706_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_4734) ).

cnf(i_0_1313,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_1313) ).

cnf(i_0_1315,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vf72yp12/lgb.p',i_0_1315) ).

cnf(c_0_4746,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_1314 ).

cnf(c_0_4747,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k15_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    i_0_1319 ).

cnf(c_0_4748,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_4656 ).

cnf(c_0_4749,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    i_0_4659 ).

cnf(c_0_4750,plain,
    ( k12_conlat_1(X1,X2) = X2
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_806 ).

cnf(c_0_4751,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,k15_lattice3(k11_conlat_1(X1),X2)),X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4746,c_0_4747]),c_0_4748]),c_0_4749]) ).

cnf(c_0_4752,plain,
    ( k12_conlat_1(X1,k15_lattice3(k11_conlat_1(X1),X2)) = k15_lattice3(k11_conlat_1(X1),X2)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4750,c_0_4747]),c_0_4748]),c_0_4749]) ).

cnf(c_0_4753,plain,
    ( v3_struct_0(X1)
    | m1_subset_1(k16_lattice3(X1,X2),u1_struct_0(X1))
    | ~ l3_lattices(X1) ),
    i_0_1320 ).

cnf(c_0_4754,negated_conjecture,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ v9_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0) ),
    i_0_4731 ).

cnf(c_0_4755,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4751,c_0_4752]) ).

cnf(c_0_4756,negated_conjecture,
    l2_conlat_1(esk706_0),
    i_0_4733 ).

cnf(c_0_4757,negated_conjecture,
    ~ v3_conlat_1(esk706_0),
    i_0_4734 ).

cnf(c_0_4758,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k12_conlat_1(X1,k16_lattice3(k11_conlat_1(X1),X2)),X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4746,c_0_4753]),c_0_4748]),c_0_4749]) ).

cnf(c_0_4759,plain,
    ( k12_conlat_1(X1,k16_lattice3(k11_conlat_1(X1),X2)) = k16_lattice3(k11_conlat_1(X1),X2)
    | v3_conlat_1(X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4750,c_0_4753]),c_0_4748]),c_0_4749]) ).

cnf(c_0_4760,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_1313 ).

cnf(c_0_4761,negated_conjecture,
    ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ v9_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4754,c_0_4755]),c_0_4756])]),c_0_4757]) ).

cnf(c_0_4762,plain,
    ( v3_conlat_1(X1)
    | v9_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4758,c_0_4759]) ).

cnf(c_0_4763,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,k15_lattice3(k11_conlat_1(X1),X2)),X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4760,c_0_4747]),c_0_4748]),c_0_4749]) ).

cnf(c_0_4764,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4761,c_0_4762]),c_0_4756])]),c_0_4757]) ).

cnf(c_0_4765,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4763,c_0_4752]) ).

cnf(c_0_4766,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k12_conlat_1(X1,k16_lattice3(k11_conlat_1(X1),X2)),X1)
    | ~ l2_conlat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4760,c_0_4753]),c_0_4748]),c_0_4749]) ).

cnf(c_0_4767,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v7_conlat_1(k12_conlat_1(X1,X2),X1)
    | ~ m1_subset_1(X2,u1_struct_0(k11_conlat_1(X1))) ),
    i_0_1315 ).

cnf(c_0_4768,plain,
    ( v7_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4764,c_0_4765]),c_0_4756])]),c_0_4757]) ).

cnf(c_0_4769,plain,
    ( v3_conlat_1(X1)
    | l3_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1)
    | ~ l2_conlat_1(X1) ),
    inference(spm,[status(thm)],[c_0_4766,c_0_4759]) ).

cnf(c_0_4770,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(k16_lattice3(k11_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))
    | ~ v7_conlat_1(k16_lattice3(k11_conlat_1(X1),X2),X1) ),
    inference(spm,[status(thm)],[c_0_4767,c_0_4759]) ).

cnf(c_0_4771,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | v7_conlat_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4768,c_0_4769]),c_0_4756])]),c_0_4757]) ).

cnf(c_0_4772,plain,
    ( v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ m1_subset_1(k16_lattice3(k11_conlat_1(esk706_0),esk707_0),u1_struct_0(k11_conlat_1(esk706_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4770,c_0_4771]),c_0_4756])]),c_0_4757]) ).

cnf(c_0_4773,plain,
    ( v3_struct_0(k11_conlat_1(esk706_0))
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0)
    | ~ l3_lattices(k11_conlat_1(esk706_0)) ),
    inference(spm,[status(thm)],[c_0_4772,c_0_4753]) ).

cnf(c_0_4774,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ m1_subset_1(k15_lattice3(k11_conlat_1(X1),X2),u1_struct_0(k11_conlat_1(X1)))
    | ~ v7_conlat_1(k15_lattice3(k11_conlat_1(X1),X2),X1) ),
    inference(spm,[status(thm)],[c_0_4767,c_0_4752]) ).

cnf(c_0_4775,plain,
    ( v3_struct_0(k11_conlat_1(esk706_0))
    | v7_conlat_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),esk706_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4773,c_0_4748]),c_0_4756])]),c_0_4757]) ).

cnf(c_0_4776,plain,
    ( v3_struct_0(k11_conlat_1(esk706_0))
    | ~ m1_subset_1(k15_lattice3(k11_conlat_1(esk706_0),esk707_0),u1_struct_0(k11_conlat_1(esk706_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4774,c_0_4775]),c_0_4756])]),c_0_4757]) ).

cnf(c_0_4777,plain,
    ( v3_struct_0(k11_conlat_1(esk706_0))
    | ~ l3_lattices(k11_conlat_1(esk706_0)) ),
    inference(spm,[status(thm)],[c_0_4776,c_0_4747]) ).

cnf(c_0_4778,plain,
    v3_struct_0(k11_conlat_1(esk706_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4777,c_0_4748]),c_0_4756])]),c_0_4757]) ).

cnf(c_0_4779,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4749,c_0_4778]),c_0_4756])]),c_0_4757]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT338+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.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 : Thu Jun 30 06:08:59 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.45/0.65  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.65  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.45/0.65  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.45/0.65  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 35.63/7.61  # ENIGMATIC: Solved by autoschedule-lgb:
% 35.63/7.61  # No SInE strategy applied
% 35.63/7.61  # Trying AutoSched0 for 149 seconds
% 35.63/7.61  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 35.63/7.61  # and selection function SelectCQIPrecWNTNp.
% 35.63/7.61  #
% 35.63/7.61  # Preprocessing time       : 0.031 s
% 35.63/7.61  # Presaturation interreduction done
% 35.63/7.61  
% 35.63/7.61  # Proof found!
% 35.63/7.61  # SZS status Theorem
% 35.63/7.61  # SZS output start CNFRefutation
% See solution above
% 35.63/7.61  # Training examples: 0 positive, 0 negative
% 35.63/7.61  
% 35.63/7.61  # -------------------------------------------------
% 35.63/7.61  # User time                : 3.157 s
% 35.63/7.61  # System time              : 0.134 s
% 35.63/7.61  # Total time               : 3.291 s
% 35.63/7.61  # Maximum resident set size: 7128 pages
% 35.63/7.61  
%------------------------------------------------------------------------------