TSTP Solution File: LAT346+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 04:30:03 EDT 2022

% Result   : Theorem 7.96s 2.24s
% Output   : CNFRefutation 7.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   43 (   9 unt;  24 nHn;  43 RR)
%            Number of literals    :  152 (   0 equ;  79 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :   33 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_101,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_101) ).

cnf(i_0_40,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_40) ).

cnf(i_0_99,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_99) ).

cnf(i_0_31,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X2,X1)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1)
    | ~ v3_lattice4(X3,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_31) ).

cnf(i_0_236,plain,
    ( v3_conlat_1(X1)
    | v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_236) ).

cnf(i_0_39,plain,
    ( v3_conlat_1(X1)
    | m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_39) ).

cnf(i_0_234,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X1,X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ r1_filter_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_234) ).

cnf(i_0_1,negated_conjecture,
    ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    l2_conlat_1(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    ~ v3_conlat_1(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_3) ).

cnf(i_0_50,plain,
    ( v3_conlat_1(X1)
    | l2_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_50) ).

cnf(i_0_91,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_91) ).

cnf(i_0_158,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_158) ).

cnf(i_0_43,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_43) ).

cnf(i_0_52,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-je5sok8g/lgb.p',i_0_52) ).

cnf(c_0_252,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_101 ).

cnf(c_0_253,plain,
    ( v3_conlat_1(X1)
    | l3_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_40 ).

cnf(c_0_254,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k11_conlat_1(X1)) ),
    i_0_99 ).

cnf(c_0_255,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X2,X1)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ m1_lattice4(X3,X2,X1)
    | ~ v3_lattice4(X3,X2,X1) ),
    i_0_31 ).

cnf(c_0_256,plain,
    ( v3_conlat_1(X1)
    | v3_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    i_0_236 ).

cnf(c_0_257,plain,
    ( v3_conlat_1(X1)
    | m1_lattice4(k10_conlat_2(X1),k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1) ),
    i_0_39 ).

cnf(c_0_258,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_struct_0(k1_lattice2(k11_conlat_1(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]) ).

cnf(c_0_259,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_filter_1(X1,X2)
    | ~ l3_lattices(X1)
    | ~ l3_lattices(X2)
    | ~ v10_lattices(X1)
    | ~ v10_lattices(X2)
    | ~ r1_filter_1(X2,X1) ),
    i_0_234 ).

cnf(c_0_260,plain,
    ( v3_conlat_1(X1)
    | v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
    | r1_filter_1(k1_lattice2(k11_conlat_1(X1)),k11_conlat_1(k7_conlat_2(X1)))
    | ~ l2_conlat_1(X1)
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]),c_0_258]) ).

cnf(c_0_261,negated_conjecture,
    ~ r1_filter_1(k11_conlat_1(k7_conlat_2(esk1_0)),k1_lattice2(k11_conlat_1(esk1_0))),
    i_0_1 ).

cnf(c_0_262,plain,
    ( v3_conlat_1(X1)
    | v3_struct_0(k11_conlat_1(k7_conlat_2(X1)))
    | r1_filter_1(k11_conlat_1(k7_conlat_2(X1)),k1_lattice2(k11_conlat_1(X1)))
    | ~ l2_conlat_1(X1)
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(X1)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(X1)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(X1))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_258]) ).

cnf(c_0_263,negated_conjecture,
    l2_conlat_1(esk1_0),
    i_0_2 ).

cnf(c_0_264,negated_conjecture,
    ~ v3_conlat_1(esk1_0),
    i_0_3 ).

cnf(c_0_265,plain,
    ( v3_conlat_1(X1)
    | l2_conlat_1(k7_conlat_2(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_50 ).

cnf(c_0_266,negated_conjecture,
    ( v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ v10_lattices(k11_conlat_1(k7_conlat_2(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(esk1_0))) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263])]),c_0_264]) ).

cnf(c_0_267,plain,
    ( v3_conlat_1(X1)
    | v10_lattices(k11_conlat_1(X1))
    | ~ l2_conlat_1(X1) ),
    i_0_91 ).

cnf(c_0_268,negated_conjecture,
    l2_conlat_1(k7_conlat_2(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_263])]) ).

cnf(c_0_269,plain,
    ( v3_conlat_1(k7_conlat_2(esk1_0))
    | v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
    | ~ v10_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l3_lattices(k1_lattice2(k11_conlat_1(esk1_0)))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(esk1_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268])]) ).

cnf(c_0_270,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    i_0_158 ).

cnf(c_0_271,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_43 ).

cnf(c_0_272,plain,
    ( v3_conlat_1(k7_conlat_2(esk1_0))
    | v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
    | v3_struct_0(k11_conlat_1(esk1_0))
    | ~ v10_lattices(k11_conlat_1(esk1_0))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(esk1_0)))
    | ~ l3_lattices(k11_conlat_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_270]),c_0_271]) ).

cnf(c_0_273,plain,
    ( v3_conlat_1(k7_conlat_2(esk1_0))
    | v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
    | v3_struct_0(k11_conlat_1(esk1_0))
    | ~ l3_lattices(k11_conlat_1(k7_conlat_2(esk1_0)))
    | ~ l3_lattices(k11_conlat_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_267]),c_0_263])]),c_0_264]) ).

cnf(c_0_274,plain,
    ( v3_conlat_1(k7_conlat_2(esk1_0))
    | v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
    | v3_struct_0(k11_conlat_1(esk1_0))
    | ~ l3_lattices(k11_conlat_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_253]),c_0_268])]) ).

cnf(c_0_275,plain,
    ( v3_conlat_1(k7_conlat_2(esk1_0))
    | v3_struct_0(k11_conlat_1(k7_conlat_2(esk1_0)))
    | v3_struct_0(k11_conlat_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_253]),c_0_263])]),c_0_264]) ).

cnf(c_0_276,plain,
    ( v3_conlat_1(k7_conlat_2(esk1_0))
    | v3_struct_0(k11_conlat_1(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_275]),c_0_268])]) ).

cnf(c_0_277,plain,
    ( v3_conlat_1(X1)
    | ~ l2_conlat_1(X1)
    | ~ v3_conlat_1(k7_conlat_2(X1)) ),
    i_0_52 ).

cnf(c_0_278,plain,
    v3_conlat_1(k7_conlat_2(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_276]),c_0_263])]),c_0_264]) ).

cnf(c_0_279,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_263])]),c_0_264]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Thu Jun 30 10:45:31 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected complete mode:
% 7.96/2.24  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.96/2.24  # No SInE strategy applied
% 7.96/2.24  # Trying AutoSched0 for 150 seconds
% 7.96/2.24  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S060I
% 7.96/2.24  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.96/2.24  #
% 7.96/2.24  # Preprocessing time       : 0.021 s
% 7.96/2.24  # Presaturation interreduction done
% 7.96/2.24  
% 7.96/2.24  # Proof found!
% 7.96/2.24  # SZS status Theorem
% 7.96/2.24  # SZS output start CNFRefutation
% See solution above
% 7.96/2.24  # Training examples: 0 positive, 0 negative
% 7.96/2.24  
% 7.96/2.24  # -------------------------------------------------
% 7.96/2.24  # User time                : 0.027 s
% 7.96/2.24  # System time              : 0.005 s
% 7.96/2.24  # Total time               : 0.032 s
% 7.96/2.24  # Maximum resident set size: 7128 pages
% 7.96/2.24  
%------------------------------------------------------------------------------