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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT351+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 04:30:10 EDT 2022

% Result   : Theorem 99.11s 17.05s
% Output   : CNFRefutation 99.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   57 (  42 unt;   4 nHn;  41 RR)
%            Number of literals    :  172 (   8 equ; 119 neg)
%            Maximal clause size   :   20 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-1 aty)
%            Number of variables   :   38 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3772,plain,
    ( r5_waybel_1(X1,X2)
    | k1_card_1(X3) != k1_card_1(X4)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(X1)
    | ~ v3_lattice3(X2)
    | ~ v3_lattice3(X1)
    | ~ v3_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X2)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X2)
    | ~ v1_lattice3(X1)
    | ~ v2_lattice3(X2)
    | ~ v2_lattice3(X1)
    | ~ v3_waybel_3(X2)
    | ~ v3_waybel_3(X1)
    | ~ r1_waybel22(X2,X4)
    | ~ r1_waybel22(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3772) ).

cnf(i_0_3690,plain,
    r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))),k1_waybel22(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3690) ).

cnf(i_0_3154,plain,
    k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3154) ).

cnf(i_0_1942,plain,
    v4_orders_2(k2_yellow_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1942) ).

cnf(i_0_1943,plain,
    v3_orders_2(k2_yellow_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1943) ).

cnf(i_0_1944,plain,
    v2_orders_2(k2_yellow_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1944) ).

cnf(i_0_1150,plain,
    l1_orders_2(k2_yellow_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1150) ).

cnf(i_0_3870,negated_conjecture,
    r1_waybel22(esk382_0,esk383_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3870) ).

cnf(i_0_3872,negated_conjecture,
    v3_waybel_3(esk382_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3872) ).

cnf(i_0_3874,negated_conjecture,
    v2_lattice3(esk382_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3874) ).

cnf(i_0_3875,negated_conjecture,
    v1_lattice3(esk382_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3875) ).

cnf(i_0_3876,negated_conjecture,
    v4_orders_2(esk382_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3876) ).

cnf(i_0_3877,negated_conjecture,
    v3_orders_2(esk382_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3877) ).

cnf(i_0_3873,negated_conjecture,
    v3_lattice3(esk382_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3873) ).

cnf(i_0_3878,negated_conjecture,
    v2_orders_2(esk382_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3878) ).

cnf(i_0_3871,negated_conjecture,
    l1_orders_2(esk382_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3871) ).

cnf(i_0_3869,negated_conjecture,
    k1_card_1(esk381_0) = k1_card_1(esk383_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3869) ).

cnf(i_0_3868,negated_conjecture,
    ~ r5_waybel_1(esk382_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_3868) ).

cnf(i_0_1605,plain,
    ( v3_struct_0(X1)
    | v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1605) ).

cnf(i_0_1463,plain,
    v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1463) ).

cnf(i_0_1466,plain,
    v2_lattice3(k2_yellow_1(k1_zfmisc_1(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1466) ).

cnf(i_0_1472,plain,
    ~ v3_struct_0(k2_yellow_1(k1_zfmisc_1(X1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1472) ).

cnf(i_0_1747,plain,
    ( v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1747) ).

cnf(i_0_1748,plain,
    ( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1748) ).

cnf(i_0_1608,plain,
    ( v3_struct_0(X1)
    | v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-m27ac2d_/input.p',i_0_1608) ).

cnf(c_0_3904,plain,
    ( r5_waybel_1(X1,X2)
    | k1_card_1(X3) != k1_card_1(X4)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(X1)
    | ~ v3_lattice3(X2)
    | ~ v3_lattice3(X1)
    | ~ v3_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X2)
    | ~ v4_orders_2(X1)
    | ~ v1_lattice3(X2)
    | ~ v1_lattice3(X1)
    | ~ v2_lattice3(X2)
    | ~ v2_lattice3(X1)
    | ~ v3_waybel_3(X2)
    | ~ v3_waybel_3(X1)
    | ~ r1_waybel22(X2,X4)
    | ~ r1_waybel22(X1,X3) ),
    i_0_3772 ).

cnf(c_0_3905,plain,
    r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))),k1_waybel22(X1)),
    i_0_3690 ).

cnf(c_0_3906,plain,
    k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
    i_0_3154 ).

cnf(c_0_3907,plain,
    v4_orders_2(k2_yellow_1(X1)),
    i_0_1942 ).

cnf(c_0_3908,plain,
    v3_orders_2(k2_yellow_1(X1)),
    i_0_1943 ).

cnf(c_0_3909,plain,
    v2_orders_2(k2_yellow_1(X1)),
    i_0_1944 ).

cnf(c_0_3910,plain,
    l1_orders_2(k2_yellow_1(X1)),
    i_0_1150 ).

cnf(c_0_3911,plain,
    ( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
    | k1_card_1(X3) != k1_card_1(X2)
    | ~ r1_waybel22(X1,X3)
    | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
    | ~ v3_waybel_3(X1)
    | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
    | ~ v2_lattice3(X1)
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
    | ~ v1_lattice3(X1)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
    | ~ v3_lattice3(X1)
    | ~ v2_orders_2(X1)
    | ~ l1_orders_2(X1) ),
    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(spm,[status(thm)],[c_0_3904,c_0_3905]),c_0_3906]),c_0_3907]),c_0_3908]),c_0_3909]),c_0_3910])]) ).

cnf(c_0_3912,negated_conjecture,
    r1_waybel22(esk382_0,esk383_0),
    i_0_3870 ).

cnf(c_0_3913,negated_conjecture,
    v3_waybel_3(esk382_0),
    i_0_3872 ).

cnf(c_0_3914,negated_conjecture,
    v2_lattice3(esk382_0),
    i_0_3874 ).

cnf(c_0_3915,negated_conjecture,
    v1_lattice3(esk382_0),
    i_0_3875 ).

cnf(c_0_3916,negated_conjecture,
    v4_orders_2(esk382_0),
    i_0_3876 ).

cnf(c_0_3917,negated_conjecture,
    v3_orders_2(esk382_0),
    i_0_3877 ).

cnf(c_0_3918,negated_conjecture,
    v3_lattice3(esk382_0),
    i_0_3873 ).

cnf(c_0_3919,negated_conjecture,
    v2_orders_2(esk382_0),
    i_0_3878 ).

cnf(c_0_3920,negated_conjecture,
    l1_orders_2(esk382_0),
    i_0_3871 ).

cnf(c_0_3921,negated_conjecture,
    ( r5_waybel_1(esk382_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
    | k1_card_1(esk383_0) != k1_card_1(X1)
    | ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
    | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
    | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1))))) ),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3911,c_0_3912]),c_0_3913]),c_0_3914]),c_0_3915]),c_0_3916]),c_0_3917]),c_0_3918]),c_0_3919]),c_0_3920])]) ).

cnf(c_0_3922,negated_conjecture,
    k1_card_1(esk381_0) = k1_card_1(esk383_0),
    i_0_3869 ).

cnf(c_0_3923,negated_conjecture,
    ~ r5_waybel_1(esk382_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0))))),
    i_0_3868 ).

cnf(c_0_3924,negated_conjecture,
    ( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0)))))
    | ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0)))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0)))))
    | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0))))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_3921,c_0_3922]),c_0_3923]) ).

cnf(c_0_3925,plain,
    ( v3_struct_0(X1)
    | v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1) ),
    i_0_1605 ).

cnf(c_0_3926,plain,
    v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X1))),
    i_0_1463 ).

cnf(c_0_3927,plain,
    v2_lattice3(k2_yellow_1(k1_zfmisc_1(X1))),
    i_0_1466 ).

cnf(c_0_3928,plain,
    ~ v3_struct_0(k2_yellow_1(k1_zfmisc_1(X1))),
    i_0_1472 ).

cnf(c_0_3929,plain,
    ( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0)))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0)))))
    | ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0))))) ),
    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_3924,c_0_3925]),c_0_3926]),c_0_3927]),c_0_3907]),c_0_3908]),c_0_3909]),c_0_3910])]),c_0_3928]) ).

cnf(c_0_3930,plain,
    ( v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1) ),
    i_0_1747 ).

cnf(c_0_3931,plain,
    ( ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0)))))
    | ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0))))) ),
    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_3929,c_0_3930]),c_0_3926]),c_0_3927]),c_0_3907]),c_0_3908]),c_0_3909]),c_0_3910])]) ).

cnf(c_0_3932,plain,
    ( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1) ),
    i_0_1748 ).

cnf(c_0_3933,plain,
    ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk381_0))))),
    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_3931,c_0_3932]),c_0_3926]),c_0_3927]),c_0_3907]),c_0_3908]),c_0_3909]),c_0_3910])]) ).

cnf(c_0_3934,plain,
    ( v3_struct_0(X1)
    | v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
    | ~ l1_orders_2(X1)
    | ~ v2_orders_2(X1)
    | ~ v3_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v2_lattice3(X1)
    | ~ v2_yellow_0(X1) ),
    i_0_1608 ).

cnf(c_0_3935,plain,
    $false,
    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_3933,c_0_3934]),c_0_3926]),c_0_3927]),c_0_3907]),c_0_3908]),c_0_3909]),c_0_3910])]),c_0_3928]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LAT351+4 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n028.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 21:31:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.70/1.94  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.70/1.94  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.70/1.94  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.70/1.94  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 99.11/17.05  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 99.11/17.05  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 42; version: 991; iters: 150)
% 99.11/17.05  # Preprocessing time       : 5.119 s
% 99.11/17.05  # Presaturation interreduction done
% 99.11/17.05  
% 99.11/17.05  # Proof found!
% 99.11/17.05  # SZS status Theorem
% 99.11/17.05  # SZS output start CNFRefutation
% See solution above
% 99.11/17.05  # Training examples: 0 positive, 0 negative
% 99.11/17.05  
% 99.11/17.05  # -------------------------------------------------
% 99.11/17.05  # User time                : 10.778 s
% 99.11/17.05  # System time              : 0.170 s
% 99.11/17.05  # Total time               : 10.948 s
% 99.11/17.05  # ...preprocessing         : 5.119 s
% 99.11/17.05  # ...main loop             : 5.829 s
% 99.11/17.05  # Maximum resident set size: 190688 pages
% 99.11/17.05  
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