TSTP Solution File: LAT353+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT353+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 04:30:12 EDT 2022

% Result   : Theorem 15.04s 3.33s
% Output   : CNFRefutation 15.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   31
% Syntax   : Number of clauses     :   72 (  43 unt;   8 nHn;  72 RR)
%            Number of literals    :  363 (  11 equ; 284 neg)
%            Maximal clause size   :   24 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-4 aty)
%            Number of variables   :   82 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_151,plain,
    ( X1 = k1_yellow_0(X2,X3)
    | v3_struct_0(X2)
    | ~ l1_orders_2(X2)
    | ~ r4_waybel_1(X2,X1,X3)
    | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_151) ).

cnf(i_0_335,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X2),X1,X3,X4),k5_pre_topc(X1,X2,X5,k6_waybel_0(X2,X4)))
    | ~ v2_orders_2(X1)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X1)
    | ~ v4_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X5)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v3_waybel_1(k1_waybel_1(X2,X1,X3,X5),X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_335) ).

cnf(i_0_215,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_215) ).

cnf(i_0_171,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_171) ).

cnf(i_0_170,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m1_subset_1(k7_yellow_2(X2,X1,X3,X4),u1_struct_0(X1))
    | ~ v1_funct_1(X3)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X4,X2)
    | ~ v1_funct_2(X3,X2,u1_struct_0(X1))
    | ~ m1_relset_1(X3,X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_170) ).

cnf(i_0_331,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_331) ).

cnf(i_0_147,plain,
    ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
    | X3 != k2_waybel34(X1,X2,X4)
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(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_lattice3(X2)
    | ~ v3_lattice3(X1)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X3)
    | ~ v18_waybel_0(X4,X2,X1)
    | ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_147) ).

cnf(i_0_80,plain,
    ( ~ v1_lattice3(X1)
    | ~ l1_orders_2(X1)
    | ~ v3_struct_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_80) ).

cnf(i_0_1,negated_conjecture,
    k7_yellow_2(u1_struct_0(esk1_0),esk2_0,k2_waybel34(esk1_0,esk2_0,esk3_0),esk4_0) != k1_yellow_0(esk2_0,k5_pre_topc(esk2_0,esk1_0,esk3_0,k6_waybel_0(esk1_0,esk4_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_1) ).

cnf(i_0_3,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_3) ).

cnf(i_0_5,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_5) ).

cnf(i_0_4,negated_conjecture,
    v18_waybel_0(esk3_0,esk2_0,esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_4) ).

cnf(i_0_2,negated_conjecture,
    m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_2) ).

cnf(i_0_6,negated_conjecture,
    v1_funct_1(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_6) ).

cnf(i_0_7,negated_conjecture,
    l1_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_7) ).

cnf(i_0_14,negated_conjecture,
    l1_orders_2(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_14) ).

cnf(i_0_8,negated_conjecture,
    v3_lattice3(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_8) ).

cnf(i_0_15,negated_conjecture,
    v3_lattice3(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_15) ).

cnf(i_0_9,negated_conjecture,
    v2_lattice3(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_9) ).

cnf(i_0_16,negated_conjecture,
    v2_lattice3(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_16) ).

cnf(i_0_10,negated_conjecture,
    v1_lattice3(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_10) ).

cnf(i_0_17,negated_conjecture,
    v1_lattice3(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_17) ).

cnf(i_0_18,negated_conjecture,
    v4_orders_2(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_18) ).

cnf(i_0_11,negated_conjecture,
    v4_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_11) ).

cnf(i_0_19,negated_conjecture,
    v3_orders_2(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_19) ).

cnf(i_0_12,negated_conjecture,
    v3_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_12) ).

cnf(i_0_20,negated_conjecture,
    v2_orders_2(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_20) ).

cnf(i_0_13,negated_conjecture,
    v2_orders_2(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_13) ).

cnf(i_0_162,plain,
    ( m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(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)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_162) ).

cnf(i_0_163,plain,
    ( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(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)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_163) ).

cnf(i_0_164,plain,
    ( v1_funct_1(k2_waybel34(X1,X2,X3))
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(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)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l0oy2nc1/input.p',i_0_164) ).

cnf(c_0_367,plain,
    ( X1 = k1_yellow_0(X2,X3)
    | v3_struct_0(X2)
    | ~ l1_orders_2(X2)
    | ~ r4_waybel_1(X2,X1,X3)
    | ~ m1_subset_1(X1,u1_struct_0(X2)) ),
    i_0_151 ).

cnf(c_0_368,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r4_waybel_1(X1,k7_yellow_2(u1_struct_0(X2),X1,X3,X4),k5_pre_topc(X1,X2,X5,k6_waybel_0(X2,X4)))
    | ~ v2_orders_2(X1)
    | ~ v2_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v3_orders_2(X2)
    | ~ v4_orders_2(X1)
    | ~ v4_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v1_funct_1(X5)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ v1_funct_2(X5,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X5,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v3_waybel_1(k1_waybel_1(X2,X1,X3,X5),X2,X1) ),
    i_0_335 ).

cnf(c_0_369,plain,
    ( v3_struct_0(X1)
    | ~ l1_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1)) ),
    i_0_215 ).

cnf(c_0_370,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    i_0_171 ).

cnf(c_0_371,plain,
    ( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k1_yellow_0(X2,k5_pre_topc(X2,X1,X5,k6_waybel_0(X1,X4)))
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X5),X1,X2)
    | ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m1_subset_1(k7_yellow_2(u1_struct_0(X1),X2,X3,X4),u1_struct_0(X2))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ v1_funct_1(X5)
    | ~ v1_funct_1(X3)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X1)
    | ~ v2_orders_2(X2) ),
    inference(spm,[status(thm)],[c_0_367,c_0_368]) ).

cnf(c_0_372,plain,
    ( v3_struct_0(X1)
    | v1_xboole_0(X2)
    | m1_subset_1(k7_yellow_2(X2,X1,X3,X4),u1_struct_0(X1))
    | ~ v1_funct_1(X3)
    | ~ l1_struct_0(X1)
    | ~ m1_subset_1(X4,X2)
    | ~ v1_funct_2(X3,X2,u1_struct_0(X1))
    | ~ m1_relset_1(X3,X2,u1_struct_0(X1)) ),
    i_0_170 ).

cnf(c_0_373,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_331 ).

cnf(c_0_374,plain,
    ( v3_struct_0(X1)
    | ~ v1_xboole_0(u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_369,c_0_370]) ).

cnf(c_0_375,plain,
    ( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k1_yellow_0(X2,k5_pre_topc(X2,X1,X5,k6_waybel_0(X1,X4)))
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X5),X1,X2)
    | ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ v1_funct_1(X5)
    | ~ v1_funct_1(X3)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v4_orders_2(X1)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X1)
    | ~ v2_orders_2(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_370]),c_0_373]),c_0_374]) ).

cnf(c_0_376,plain,
    ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
    | X3 != k2_waybel34(X1,X2,X4)
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(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_lattice3(X2)
    | ~ v3_lattice3(X1)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_funct_1(X4)
    | ~ v1_funct_1(X3)
    | ~ v18_waybel_0(X4,X2,X1)
    | ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    i_0_147 ).

cnf(c_0_377,plain,
    ( ~ v1_lattice3(X1)
    | ~ l1_orders_2(X1)
    | ~ v3_struct_0(X1) ),
    i_0_80 ).

cnf(c_0_378,plain,
    ( k7_yellow_2(u1_struct_0(X1),X2,X3,X4) = k1_yellow_0(X2,k5_pre_topc(X2,X1,X5,k6_waybel_0(X1,X4)))
    | X3 != k2_waybel34(X1,X2,X5)
    | ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v18_waybel_0(X5,X2,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ v1_funct_1(X5)
    | ~ v1_funct_1(X3)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v3_lattice3(X2)
    | ~ v3_lattice3(X1)
    | ~ v2_lattice3(X2)
    | ~ v2_lattice3(X1)
    | ~ v1_lattice3(X2)
    | ~ v1_lattice3(X1)
    | ~ v4_orders_2(X1)
    | ~ v4_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v3_orders_2(X2)
    | ~ v2_orders_2(X1)
    | ~ v2_orders_2(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_377]),c_0_377]) ).

cnf(c_0_379,negated_conjecture,
    k7_yellow_2(u1_struct_0(esk1_0),esk2_0,k2_waybel34(esk1_0,esk2_0,esk3_0),esk4_0) != k1_yellow_0(esk2_0,k5_pre_topc(esk2_0,esk1_0,esk3_0,k6_waybel_0(esk1_0,esk4_0))),
    i_0_1 ).

cnf(c_0_380,plain,
    ( k1_yellow_0(X1,k5_pre_topc(X1,X2,X3,k6_waybel_0(X2,X4))) = k7_yellow_2(u1_struct_0(X2),X1,k2_waybel34(X2,X1,X3),X4)
    | ~ m2_relset_1(k2_waybel34(X2,X1,X3),u1_struct_0(X2),u1_struct_0(X1))
    | ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(k2_waybel34(X2,X1,X3),u1_struct_0(X2),u1_struct_0(X1))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v18_waybel_0(X3,X1,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X2))
    | ~ v1_funct_1(k2_waybel34(X2,X1,X3))
    | ~ v1_funct_1(X3)
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X2)
    | ~ v3_lattice3(X1)
    | ~ v3_lattice3(X2)
    | ~ v2_lattice3(X1)
    | ~ v2_lattice3(X2)
    | ~ v1_lattice3(X1)
    | ~ v1_lattice3(X2)
    | ~ v4_orders_2(X2)
    | ~ v4_orders_2(X1)
    | ~ v3_orders_2(X2)
    | ~ v3_orders_2(X1)
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(X1) ),
    inference(er,[status(thm)],[c_0_378]) ).

cnf(c_0_381,negated_conjecture,
    m2_relset_1(esk3_0,u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
    i_0_3 ).

cnf(c_0_382,negated_conjecture,
    v1_funct_2(esk3_0,u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
    i_0_5 ).

cnf(c_0_383,negated_conjecture,
    v18_waybel_0(esk3_0,esk2_0,esk1_0),
    i_0_4 ).

cnf(c_0_384,negated_conjecture,
    m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
    i_0_2 ).

cnf(c_0_385,negated_conjecture,
    v1_funct_1(esk3_0),
    i_0_6 ).

cnf(c_0_386,negated_conjecture,
    l1_orders_2(esk2_0),
    i_0_7 ).

cnf(c_0_387,negated_conjecture,
    l1_orders_2(esk1_0),
    i_0_14 ).

cnf(c_0_388,negated_conjecture,
    v3_lattice3(esk2_0),
    i_0_8 ).

cnf(c_0_389,negated_conjecture,
    v3_lattice3(esk1_0),
    i_0_15 ).

cnf(c_0_390,negated_conjecture,
    v2_lattice3(esk2_0),
    i_0_9 ).

cnf(c_0_391,negated_conjecture,
    v2_lattice3(esk1_0),
    i_0_16 ).

cnf(c_0_392,negated_conjecture,
    v1_lattice3(esk2_0),
    i_0_10 ).

cnf(c_0_393,negated_conjecture,
    v1_lattice3(esk1_0),
    i_0_17 ).

cnf(c_0_394,negated_conjecture,
    v4_orders_2(esk1_0),
    i_0_18 ).

cnf(c_0_395,negated_conjecture,
    v4_orders_2(esk2_0),
    i_0_11 ).

cnf(c_0_396,negated_conjecture,
    v3_orders_2(esk1_0),
    i_0_19 ).

cnf(c_0_397,negated_conjecture,
    v3_orders_2(esk2_0),
    i_0_12 ).

cnf(c_0_398,negated_conjecture,
    v2_orders_2(esk1_0),
    i_0_20 ).

cnf(c_0_399,negated_conjecture,
    v2_orders_2(esk2_0),
    i_0_13 ).

cnf(c_0_400,negated_conjecture,
    ( ~ m2_relset_1(k2_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_2(k2_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_1(k2_waybel34(esk1_0,esk2_0,esk3_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(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(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_379,c_0_380]),c_0_381]),c_0_382]),c_0_383]),c_0_384]),c_0_385]),c_0_386]),c_0_387]),c_0_388]),c_0_389]),c_0_390]),c_0_391]),c_0_392]),c_0_393]),c_0_394]),c_0_395]),c_0_396]),c_0_397]),c_0_398]),c_0_399])]) ).

cnf(c_0_401,plain,
    ( m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(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)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_162 ).

cnf(c_0_402,negated_conjecture,
    m1_relset_1(esk3_0,u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
    inference(spm,[status(thm)],[c_0_373,c_0_381]) ).

cnf(c_0_403,plain,
    ( ~ v1_funct_2(k2_waybel34(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0),u1_struct_0(esk2_0))
    | ~ v1_funct_1(k2_waybel34(esk1_0,esk2_0,esk3_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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_401]),c_0_402]),c_0_382]),c_0_385]),c_0_386]),c_0_387]),c_0_390]),c_0_391]),c_0_392]),c_0_393]),c_0_395]),c_0_394]),c_0_397]),c_0_396]),c_0_399]),c_0_398])]) ).

cnf(c_0_404,plain,
    ( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(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)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_163 ).

cnf(c_0_405,plain,
    ~ v1_funct_1(k2_waybel34(esk1_0,esk2_0,esk3_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(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_404]),c_0_402]),c_0_382]),c_0_385]),c_0_386]),c_0_387]),c_0_390]),c_0_391]),c_0_392]),c_0_393]),c_0_395]),c_0_394]),c_0_397]),c_0_396]),c_0_399]),c_0_398])]) ).

cnf(c_0_406,plain,
    ( v1_funct_1(k2_waybel34(X1,X2,X3))
    | ~ v2_orders_2(X2)
    | ~ v2_orders_2(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)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_funct_1(X3)
    | ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
    i_0_164 ).

cnf(c_0_407,plain,
    $false,
    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(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_405,c_0_406]),c_0_402]),c_0_382]),c_0_385]),c_0_386]),c_0_387]),c_0_390]),c_0_391]),c_0_392]),c_0_393]),c_0_395]),c_0_394]),c_0_397]),c_0_396]),c_0_399]),c_0_398])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LAT353+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 29 06:01:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected complete mode:
% 15.04/3.33  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 15.04/3.33  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 63; version: 991; iters: 150)
% 15.04/3.33  # Preprocessing time       : 0.901 s
% 15.04/3.33  
% 15.04/3.33  # Proof found!
% 15.04/3.33  # SZS status Theorem
% 15.04/3.33  # SZS output start CNFRefutation
% See solution above
% 15.04/3.33  # Training examples: 0 positive, 0 negative
% 15.04/3.33  
% 15.04/3.33  # -------------------------------------------------
% 15.04/3.33  # User time                : 0.799 s
% 15.04/3.33  # System time              : 0.109 s
% 15.04/3.33  # Total time               : 0.907 s
% 15.04/3.33  # ...preprocessing         : 0.901 s
% 15.04/3.33  # ...main loop             : 0.007 s
% 15.04/3.33  # Maximum resident set size: 168052 pages
% 15.04/3.33  
%------------------------------------------------------------------------------