TSTP Solution File: LAT304+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT304+1 : 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 04:29:13 EDT 2022

% Result   : Theorem 8.54s 2.48s
% Output   : CNFRefutation 8.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   56 (   9 unt;  11 nHn;  56 RR)
%            Number of literals    :  152 (  15 equ;  89 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   1 con; 0-3 aty)
%            Number of variables   :   75 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_140,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_140) ).

cnf(i_0_48,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_48) ).

cnf(i_0_101,plain,
    ( X1 = X2
    | g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_101) ).

cnf(i_0_50,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_50) ).

cnf(i_0_49,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_49) ).

cnf(i_0_44,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_44) ).

cnf(i_0_46,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_46) ).

cnf(i_0_45,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_45) ).

cnf(i_0_137,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_137) ).

cnf(i_0_142,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_142) ).

cnf(i_0_21,plain,
    ( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_21) ).

cnf(i_0_32,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_32) ).

cnf(i_0_33,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_33) ).

cnf(i_0_144,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_2(X2,k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_144) ).

cnf(i_0_90,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_90) ).

cnf(i_0_24,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_24) ).

cnf(i_0_63,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_63) ).

cnf(i_0_5,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_5) ).

cnf(i_0_25,plain,
    ( v3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_25) ).

cnf(i_0_1,negated_conjecture,
    ~ m2_filter_2(u1_struct_0(esk1_0),esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    l3_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    v10_lattices(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_3) ).

cnf(i_0_4,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ll286p8c/lgb.p',i_0_4) ).

cnf(c_0_168,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_140 ).

cnf(c_0_169,plain,
    ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    i_0_48 ).

cnf(c_0_170,plain,
    ( X1 = X2
    | g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
    i_0_101 ).

cnf(c_0_171,plain,
    ( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

cnf(c_0_172,plain,
    ( v1_funct_1(u2_lattices(X1))
    | ~ l2_lattices(X1) ),
    i_0_50 ).

cnf(c_0_173,plain,
    ( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l2_lattices(X1) ),
    i_0_49 ).

cnf(c_0_174,plain,
    ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_44 ).

cnf(c_0_175,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),X3,u2_lattices(X1)) != g3_lattices(X2,X4,X5)
    | ~ l2_lattices(X1)
    | ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ v1_funct_1(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_173]) ).

cnf(c_0_176,plain,
    ( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_174]) ).

cnf(c_0_177,plain,
    ( v1_funct_1(u1_lattices(X1))
    | ~ l1_lattices(X1) ),
    i_0_46 ).

cnf(c_0_178,plain,
    ( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
    | ~ l1_lattices(X1) ),
    i_0_45 ).

cnf(c_0_179,plain,
    ( v3_struct_0(X1)
    | m1_filter_2(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_0(X2,X1) ),
    i_0_137 ).

cnf(c_0_180,plain,
    ( v3_struct_0(X1)
    | m1_filter_0(u1_struct_0(X1),X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_142 ).

cnf(c_0_181,plain,
    ( u1_struct_0(X1) = X2
    | g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
    | ~ l1_lattices(X1)
    | ~ l2_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_177]),c_0_178]) ).

cnf(c_0_182,plain,
    ( g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) = k1_lattice2(X1)
    | ~ l3_lattices(X1) ),
    i_0_21 ).

cnf(c_0_183,plain,
    ( l2_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_32 ).

cnf(c_0_184,plain,
    ( l1_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_33 ).

cnf(c_0_185,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(X2,X1)
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1)
    | ~ m1_filter_2(X2,k1_lattice2(X1)) ),
    i_0_144 ).

cnf(c_0_186,plain,
    ( m1_filter_2(u1_struct_0(X1),X1)
    | v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_187,plain,
    ( v3_struct_0(X1)
    | v10_lattices(k1_lattice2(X1))
    | ~ v10_lattices(X1)
    | ~ l3_lattices(X1) ),
    i_0_90 ).

cnf(c_0_188,plain,
    ( l3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_24 ).

cnf(c_0_189,plain,
    ( v3_struct_0(X1)
    | ~ l3_lattices(X1)
    | ~ v3_struct_0(k1_lattice2(X1)) ),
    i_0_63 ).

cnf(c_0_190,plain,
    ( u1_struct_0(X1) = X2
    | k1_lattice2(X1) != g3_lattices(X2,X3,X4)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_183]),c_0_184]) ).

cnf(c_0_191,plain,
    ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = X1
    | ~ l3_lattices(X1)
    | ~ v3_lattices(X1) ),
    i_0_5 ).

cnf(c_0_192,plain,
    ( v3_lattices(k1_lattice2(X1))
    | ~ l3_lattices(X1) ),
    i_0_25 ).

cnf(c_0_193,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(u1_struct_0(k1_lattice2(X1)),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_187]),c_0_188]),c_0_189]) ).

cnf(c_0_194,plain,
    ( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
    | ~ l3_lattices(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191])]),c_0_188]),c_0_192]) ).

cnf(c_0_195,negated_conjecture,
    ~ m2_filter_2(u1_struct_0(esk1_0),esk1_0),
    i_0_1 ).

cnf(c_0_196,plain,
    ( v3_struct_0(X1)
    | m2_filter_2(u1_struct_0(X1),X1)
    | ~ l3_lattices(X1)
    | ~ v10_lattices(X1) ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_197,negated_conjecture,
    l3_lattices(esk1_0),
    i_0_2 ).

cnf(c_0_198,negated_conjecture,
    v10_lattices(esk1_0),
    i_0_3 ).

cnf(c_0_199,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_4 ).

cnf(c_0_200,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197]),c_0_198])]),c_0_199]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT304+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.12  % 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 : Wed Jun 29 21:31:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 8.54/2.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.54/2.48  # No SInE strategy applied
% 8.54/2.48  # Trying AutoSched0 for 150 seconds
% 8.54/2.48  # AutoSched0-Mode selected heuristic G_E___008_C18_F1_PI_SE_CS_SP_CO_S4S
% 8.54/2.48  # and selection function SelectNewComplexAHPNS.
% 8.54/2.48  #
% 8.54/2.48  # Preprocessing time       : 0.017 s
% 8.54/2.48  
% 8.54/2.48  # Proof found!
% 8.54/2.48  # SZS status Theorem
% 8.54/2.48  # SZS output start CNFRefutation
% See solution above
% 8.54/2.48  # Training examples: 0 positive, 0 negative
% 8.54/2.48  
% 8.54/2.48  # -------------------------------------------------
% 8.54/2.48  # User time                : 0.051 s
% 8.54/2.48  # System time              : 0.006 s
% 8.54/2.48  # Total time               : 0.057 s
% 8.54/2.48  # Maximum resident set size: 7120 pages
% 8.54/2.48  
%------------------------------------------------------------------------------