TSTP Solution File: TOP046+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : TOP046+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 : Thu Jul 21 21:24:36 EDT 2022

% Result   : Theorem 7.48s 2.35s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   29
% Syntax   : Number of clauses     :  104 (  48 unt;  21 nHn;  94 RR)
%            Number of literals    :  287 (  42 equ; 155 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-4 aty)
%            Number of variables   :  139 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_69,plain,
    ( X1 = X2
    | g1_orders_2(X1,X3) != g1_orders_2(X2,X4)
    | ~ m1_relset_1(X3,X1,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_69) ).

cnf(i_0_4,negated_conjecture,
    g1_orders_2(u1_struct_0(esk4_0),u1_orders_2(esk4_0)) = g1_orders_2(u1_struct_0(esk3_0),u1_orders_2(esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_4) ).

cnf(i_0_113,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_113) ).

cnf(i_0_44,plain,
    ( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_44) ).

cnf(i_0_40,plain,
    ( l1_orders_2(X1)
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_40) ).

cnf(i_0_7,negated_conjecture,
    l1_waybel_0(esk3_0,esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_7) ).

cnf(i_0_11,negated_conjecture,
    l1_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_11) ).

cnf(i_0_27,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_subset_1(esk6_3(X2,X1,X3),u1_struct_0(X1))
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2)
    | ~ r1_waybel_0(X2,X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_27) ).

cnf(i_0_2,negated_conjecture,
    r1_waybel_0(esk1_0,esk3_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_2) ).

cnf(i_0_12,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_12) ).

cnf(i_0_8,negated_conjecture,
    ~ v3_struct_0(esk3_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_8) ).

cnf(i_0_25,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_waybel_0(X2,X1,X3)
    | m1_subset_1(esk7_4(X2,X1,X3,X4),u1_struct_0(X1))
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_25) ).

cnf(i_0_5,negated_conjecture,
    l1_waybel_0(esk4_0,esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_5) ).

cnf(i_0_9,negated_conjecture,
    l1_struct_0(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_9) ).

cnf(i_0_10,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_10) ).

cnf(i_0_6,negated_conjecture,
    ~ v3_struct_0(esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_6) ).

cnf(i_0_68,plain,
    ( X1 = X2
    | g1_orders_2(X3,X1) != g1_orders_2(X4,X2)
    | ~ m1_relset_1(X1,X3,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_68) ).

cnf(i_0_46,plain,
    ( m2_relset_1(u1_waybel_0(X1,X2),u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_46) ).

cnf(i_0_3,negated_conjecture,
    u1_waybel_0(esk1_0,esk3_0) = u1_waybel_0(esk2_0,esk4_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_3) ).

cnf(i_0_38,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_38) ).

cnf(i_0_47,plain,
    ( v1_funct_2(u1_waybel_0(X1,X2),u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_47) ).

cnf(i_0_28,plain,
    ( k1_waybel_0(X1,X2,u1_waybel_0(X2,X1),X3) = k3_waybel_0(X2,X1,X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2)
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_28) ).

cnf(i_0_48,plain,
    ( v1_funct_1(u1_waybel_0(X1,X2))
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_48) ).

cnf(i_0_1,negated_conjecture,
    ~ r1_waybel_0(esk2_0,esk4_0,esk5_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_1) ).

cnf(i_0_117,plain,
    ( r1_orders_2(X1,X2,X3)
    | X4 != X3
    | X5 != X2
    | g1_orders_2(u1_struct_0(X6),u1_orders_2(X6)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X6)
    | ~ r1_orders_2(X6,X5,X4)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X6))
    | ~ m1_subset_1(X5,u1_struct_0(X6)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_117) ).

cnf(i_0_110,plain,
    ( k1_waybel_0(X1,X2,X3,X4) = k1_funct_1(X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_struct_0(X2)
    | ~ l1_struct_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_110) ).

cnf(i_0_24,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_waybel_0(X1,X2,X3)
    | r1_orders_2(X2,X4,esk7_4(X1,X2,X3,X4))
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_24) ).

cnf(i_0_23,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_waybel_0(X2,X1,X3)
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ r2_hidden(k3_waybel_0(X2,X1,esk7_4(X2,X1,X3,X4)),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_23) ).

cnf(i_0_26,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r2_hidden(k3_waybel_0(X1,X2,X3),X4)
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1)
    | ~ r1_waybel_0(X1,X2,X4)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ r1_orders_2(X2,esk6_3(X1,X2,X4),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-di39jjjz/lgb.p',i_0_26) ).

cnf(c_0_147,plain,
    ( X1 = X2
    | g1_orders_2(X1,X3) != g1_orders_2(X2,X4)
    | ~ m1_relset_1(X3,X1,X1) ),
    i_0_69 ).

cnf(c_0_148,negated_conjecture,
    g1_orders_2(u1_struct_0(esk4_0),u1_orders_2(esk4_0)) = g1_orders_2(u1_struct_0(esk3_0),u1_orders_2(esk3_0)),
    i_0_4 ).

cnf(c_0_149,negated_conjecture,
    ( u1_struct_0(esk3_0) = X1
    | g1_orders_2(u1_struct_0(esk4_0),u1_orders_2(esk4_0)) != g1_orders_2(X1,X2)
    | ~ m1_relset_1(u1_orders_2(esk3_0),u1_struct_0(esk3_0),u1_struct_0(esk3_0)) ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_150,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_113 ).

cnf(c_0_151,plain,
    ( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    i_0_44 ).

cnf(c_0_152,plain,
    ( l1_orders_2(X1)
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2) ),
    i_0_40 ).

cnf(c_0_153,negated_conjecture,
    l1_waybel_0(esk3_0,esk1_0),
    i_0_7 ).

cnf(c_0_154,negated_conjecture,
    l1_struct_0(esk1_0),
    i_0_11 ).

cnf(c_0_155,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | m1_subset_1(esk6_3(X2,X1,X3),u1_struct_0(X1))
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2)
    | ~ r1_waybel_0(X2,X1,X3) ),
    i_0_27 ).

cnf(c_0_156,negated_conjecture,
    r1_waybel_0(esk1_0,esk3_0,esk5_0),
    i_0_2 ).

cnf(c_0_157,negated_conjecture,
    ~ v3_struct_0(esk1_0),
    i_0_12 ).

cnf(c_0_158,negated_conjecture,
    ~ v3_struct_0(esk3_0),
    i_0_8 ).

cnf(c_0_159,negated_conjecture,
    ( u1_struct_0(esk3_0) = u1_struct_0(esk4_0)
    | ~ m1_relset_1(u1_orders_2(esk3_0),u1_struct_0(esk3_0),u1_struct_0(esk3_0)) ),
    inference(er,[status(thm)],[c_0_149]) ).

cnf(c_0_160,plain,
    ( m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_161,negated_conjecture,
    l1_orders_2(esk3_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154])]) ).

cnf(c_0_162,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_waybel_0(X2,X1,X3)
    | m1_subset_1(esk7_4(X2,X1,X3,X4),u1_struct_0(X1))
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X1)) ),
    i_0_25 ).

cnf(c_0_163,negated_conjecture,
    l1_waybel_0(esk4_0,esk2_0),
    i_0_5 ).

cnf(c_0_164,negated_conjecture,
    l1_struct_0(esk2_0),
    i_0_9 ).

cnf(c_0_165,negated_conjecture,
    ~ v3_struct_0(esk2_0),
    i_0_10 ).

cnf(c_0_166,negated_conjecture,
    ~ v3_struct_0(esk4_0),
    i_0_6 ).

cnf(c_0_167,negated_conjecture,
    m1_subset_1(esk6_3(esk1_0,esk3_0,esk5_0),u1_struct_0(esk3_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_154]),c_0_153])]),c_0_157]),c_0_158]) ).

cnf(c_0_168,negated_conjecture,
    u1_struct_0(esk3_0) = u1_struct_0(esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161])]) ).

cnf(c_0_169,plain,
    ( X1 = X2
    | g1_orders_2(X3,X1) != g1_orders_2(X4,X2)
    | ~ m1_relset_1(X1,X3,X3) ),
    i_0_68 ).

cnf(c_0_170,plain,
    ( m2_relset_1(u1_waybel_0(X1,X2),u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1) ),
    i_0_46 ).

cnf(c_0_171,negated_conjecture,
    u1_waybel_0(esk1_0,esk3_0) = u1_waybel_0(esk2_0,esk4_0),
    i_0_3 ).

cnf(c_0_172,negated_conjecture,
    ( m1_subset_1(esk7_4(esk2_0,esk4_0,X1,X2),u1_struct_0(esk4_0))
    | r1_waybel_0(esk2_0,esk4_0,X1)
    | ~ m1_subset_1(X2,u1_struct_0(esk4_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164])]),c_0_165]),c_0_166]) ).

cnf(c_0_173,negated_conjecture,
    m1_subset_1(esk6_3(esk1_0,esk3_0,esk5_0),u1_struct_0(esk4_0)),
    inference(rw,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_174,negated_conjecture,
    ( X1 = u1_orders_2(esk3_0)
    | g1_orders_2(X2,X1) != g1_orders_2(u1_struct_0(esk4_0),u1_orders_2(esk4_0))
    | ~ m1_relset_1(X1,X2,X2) ),
    inference(spm,[status(thm)],[c_0_169,c_0_148]) ).

cnf(c_0_175,plain,
    ( l1_struct_0(X1)
    | ~ l1_orders_2(X1) ),
    i_0_38 ).

cnf(c_0_176,negated_conjecture,
    m2_relset_1(u1_waybel_0(esk1_0,esk3_0),u1_struct_0(esk3_0),u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_153]),c_0_154])]) ).

cnf(c_0_177,plain,
    ( v1_funct_2(u1_waybel_0(X1,X2),u1_struct_0(X2),u1_struct_0(X1))
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1) ),
    i_0_47 ).

cnf(c_0_178,plain,
    ( k1_waybel_0(X1,X2,u1_waybel_0(X2,X1),X3) = k3_waybel_0(X2,X1,X3)
    | v3_struct_0(X1)
    | v3_struct_0(X2)
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2)
    | ~ m1_subset_1(X3,u1_struct_0(X1)) ),
    i_0_28 ).

cnf(c_0_179,negated_conjecture,
    m2_relset_1(u1_waybel_0(esk1_0,esk3_0),u1_struct_0(esk4_0),u1_struct_0(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_163]),c_0_171]),c_0_164])]) ).

cnf(c_0_180,plain,
    ( v1_funct_1(u1_waybel_0(X1,X2))
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1) ),
    i_0_48 ).

cnf(c_0_181,negated_conjecture,
    l1_orders_2(esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_163]),c_0_164])]) ).

cnf(c_0_182,negated_conjecture,
    ~ r1_waybel_0(esk2_0,esk4_0,esk5_0),
    i_0_1 ).

cnf(c_0_183,negated_conjecture,
    ( m1_subset_1(esk7_4(esk2_0,esk4_0,X1,esk6_3(esk1_0,esk3_0,esk5_0)),u1_struct_0(esk4_0))
    | r1_waybel_0(esk2_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_184,plain,
    ( r1_orders_2(X1,X2,X3)
    | X4 != X3
    | X5 != X2
    | g1_orders_2(u1_struct_0(X6),u1_orders_2(X6)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
    | ~ l1_orders_2(X1)
    | ~ l1_orders_2(X6)
    | ~ r1_orders_2(X6,X5,X4)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1))
    | ~ m1_subset_1(X4,u1_struct_0(X6))
    | ~ m1_subset_1(X5,u1_struct_0(X6)) ),
    i_0_117 ).

cnf(c_0_185,negated_conjecture,
    ( u1_orders_2(esk3_0) = u1_orders_2(esk4_0)
    | ~ m1_relset_1(u1_orders_2(esk4_0),u1_struct_0(esk4_0),u1_struct_0(esk4_0)) ),
    inference(er,[status(thm)],[c_0_174]) ).

cnf(c_0_186,plain,
    ( k1_waybel_0(X1,X2,X3,X4) = k1_funct_1(X3,X4)
    | v3_struct_0(X2)
    | v3_struct_0(X1)
    | ~ l1_struct_0(X2)
    | ~ l1_struct_0(X1)
    | ~ v1_funct_1(X3)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
    | ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
    i_0_110 ).

cnf(c_0_187,plain,
    l1_struct_0(esk3_0),
    inference(spm,[status(thm)],[c_0_175,c_0_161]) ).

cnf(c_0_188,plain,
    m1_relset_1(u1_waybel_0(esk1_0,esk3_0),u1_struct_0(esk3_0),u1_struct_0(esk1_0)),
    inference(spm,[status(thm)],[c_0_150,c_0_176]) ).

cnf(c_0_189,negated_conjecture,
    v1_funct_2(u1_waybel_0(esk1_0,esk3_0),u1_struct_0(esk3_0),u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_153]),c_0_154])]) ).

cnf(c_0_190,negated_conjecture,
    ( k1_waybel_0(esk3_0,esk1_0,u1_waybel_0(esk1_0,esk3_0),X1) = k3_waybel_0(esk1_0,esk3_0,X1)
    | ~ m1_subset_1(X1,u1_struct_0(esk3_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_153]),c_0_154])]),c_0_157]),c_0_158]) ).

cnf(c_0_191,plain,
    m1_relset_1(u1_waybel_0(esk1_0,esk3_0),u1_struct_0(esk4_0),u1_struct_0(esk2_0)),
    inference(spm,[status(thm)],[c_0_150,c_0_179]) ).

cnf(c_0_192,negated_conjecture,
    v1_funct_1(u1_waybel_0(esk1_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_153]),c_0_154])]) ).

cnf(c_0_193,negated_conjecture,
    v1_funct_2(u1_waybel_0(esk1_0,esk3_0),u1_struct_0(esk4_0),u1_struct_0(esk2_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_163]),c_0_171]),c_0_164])]) ).

cnf(c_0_194,plain,
    l1_struct_0(esk4_0),
    inference(spm,[status(thm)],[c_0_175,c_0_181]) ).

cnf(c_0_195,negated_conjecture,
    ( k1_waybel_0(esk4_0,esk2_0,u1_waybel_0(esk1_0,esk3_0),X1) = k3_waybel_0(esk2_0,esk4_0,X1)
    | ~ m1_subset_1(X1,u1_struct_0(esk4_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_163]),c_0_171]),c_0_164])]),c_0_165]),c_0_166]) ).

cnf(c_0_196,negated_conjecture,
    m1_subset_1(esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0)),u1_struct_0(esk4_0)),
    inference(spm,[status(thm)],[c_0_182,c_0_183]) ).

cnf(c_0_197,plain,
    ( r1_orders_2(X1,X2,X3)
    | g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(X4),u1_orders_2(X4))
    | ~ l1_orders_2(X4)
    | ~ l1_orders_2(X1)
    | ~ r1_orders_2(X4,X2,X3)
    | ~ m1_subset_1(X2,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X4))
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_184])]) ).

cnf(c_0_198,negated_conjecture,
    u1_orders_2(esk3_0) = u1_orders_2(esk4_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_160]),c_0_181])]) ).

cnf(c_0_199,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_waybel_0(X1,X2,X3)
    | r1_orders_2(X2,X4,esk7_4(X1,X2,X3,X4))
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1)
    | ~ m1_subset_1(X4,u1_struct_0(X2)) ),
    i_0_24 ).

cnf(c_0_200,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r1_waybel_0(X2,X1,X3)
    | ~ l1_struct_0(X2)
    | ~ l1_waybel_0(X1,X2)
    | ~ m1_subset_1(X4,u1_struct_0(X1))
    | ~ r2_hidden(k3_waybel_0(X2,X1,esk7_4(X2,X1,X3,X4)),X3) ),
    i_0_23 ).

cnf(c_0_201,negated_conjecture,
    ( k1_waybel_0(esk3_0,X1,X2,X3) = k1_funct_1(X2,X3)
    | v3_struct_0(X1)
    | ~ v1_funct_1(X2)
    | ~ m1_relset_1(X2,u1_struct_0(esk4_0),u1_struct_0(X1))
    | ~ v1_funct_2(X2,u1_struct_0(esk4_0),u1_struct_0(X1))
    | ~ m1_subset_1(X3,u1_struct_0(esk4_0))
    | ~ l1_struct_0(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_168]),c_0_187])]),c_0_158]) ).

cnf(c_0_202,plain,
    m1_relset_1(u1_waybel_0(esk1_0,esk3_0),u1_struct_0(esk4_0),u1_struct_0(esk1_0)),
    inference(rw,[status(thm)],[c_0_188,c_0_168]) ).

cnf(c_0_203,negated_conjecture,
    v1_funct_2(u1_waybel_0(esk1_0,esk3_0),u1_struct_0(esk4_0),u1_struct_0(esk1_0)),
    inference(rw,[status(thm)],[c_0_189,c_0_168]) ).

cnf(c_0_204,negated_conjecture,
    ( k1_waybel_0(esk3_0,esk1_0,u1_waybel_0(esk1_0,esk3_0),X1) = k3_waybel_0(esk1_0,esk3_0,X1)
    | ~ m1_subset_1(X1,u1_struct_0(esk4_0)) ),
    inference(rw,[status(thm)],[c_0_190,c_0_168]) ).

cnf(c_0_205,plain,
    ( k1_waybel_0(esk4_0,esk2_0,u1_waybel_0(esk1_0,esk3_0),X1) = k1_funct_1(u1_waybel_0(esk1_0,esk3_0),X1)
    | ~ m1_subset_1(X1,u1_struct_0(esk4_0)) ),
    inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_186,c_0_191]),c_0_192]),c_0_193]),c_0_164]),c_0_194])]),c_0_165]),c_0_166]) ).

cnf(c_0_206,negated_conjecture,
    k1_waybel_0(esk4_0,esk2_0,u1_waybel_0(esk1_0,esk3_0),esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))) = k3_waybel_0(esk2_0,esk4_0,esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_207,negated_conjecture,
    ( r1_orders_2(esk3_0,X1,X2)
    | g1_orders_2(u1_struct_0(esk4_0),u1_orders_2(esk4_0)) != g1_orders_2(u1_struct_0(X3),u1_orders_2(X3))
    | ~ l1_orders_2(X3)
    | ~ r1_orders_2(X3,X1,X2)
    | ~ m1_subset_1(X2,u1_struct_0(esk4_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk4_0))
    | ~ m1_subset_1(X1,u1_struct_0(X3))
    | ~ m1_subset_1(X2,u1_struct_0(X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_168]),c_0_161]),c_0_168]),c_0_168])]) ).

cnf(c_0_208,negated_conjecture,
    ( r1_orders_2(esk4_0,X1,esk7_4(esk2_0,esk4_0,X2,X1))
    | r1_waybel_0(esk2_0,esk4_0,X2)
    | ~ m1_subset_1(X1,u1_struct_0(esk4_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_163]),c_0_164])]),c_0_166]),c_0_165]) ).

cnf(c_0_209,negated_conjecture,
    ( r1_waybel_0(esk2_0,esk4_0,X1)
    | ~ r2_hidden(k3_waybel_0(esk2_0,esk4_0,esk7_4(esk2_0,esk4_0,X1,X2)),X1)
    | ~ m1_subset_1(X2,u1_struct_0(esk4_0)) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_163]),c_0_164])]),c_0_165]),c_0_166]) ).

cnf(c_0_210,plain,
    ( k1_waybel_0(esk3_0,esk1_0,u1_waybel_0(esk1_0,esk3_0),X1) = k1_funct_1(u1_waybel_0(esk1_0,esk3_0),X1)
    | ~ m1_subset_1(X1,u1_struct_0(esk4_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_192]),c_0_203]),c_0_154])]),c_0_157]) ).

cnf(c_0_211,negated_conjecture,
    k1_waybel_0(esk3_0,esk1_0,u1_waybel_0(esk1_0,esk3_0),esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))) = k3_waybel_0(esk1_0,esk3_0,esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))),
    inference(spm,[status(thm)],[c_0_204,c_0_196]) ).

cnf(c_0_212,plain,
    k1_funct_1(u1_waybel_0(esk1_0,esk3_0),esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))) = k3_waybel_0(esk2_0,esk4_0,esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_196]),c_0_206]) ).

cnf(c_0_213,negated_conjecture,
    ( r1_orders_2(esk3_0,X1,X2)
    | ~ r1_orders_2(esk4_0,X1,X2)
    | ~ m1_subset_1(X2,u1_struct_0(esk4_0))
    | ~ m1_subset_1(X1,u1_struct_0(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_207]),c_0_181])]) ).

cnf(c_0_214,negated_conjecture,
    ( r1_orders_2(esk4_0,esk6_3(esk1_0,esk3_0,esk5_0),esk7_4(esk2_0,esk4_0,X1,esk6_3(esk1_0,esk3_0,esk5_0)))
    | r1_waybel_0(esk2_0,esk4_0,X1) ),
    inference(spm,[status(thm)],[c_0_208,c_0_173]) ).

cnf(c_0_215,negated_conjecture,
    ( r1_waybel_0(esk2_0,esk4_0,X1)
    | ~ r2_hidden(k3_waybel_0(esk2_0,esk4_0,esk7_4(esk2_0,esk4_0,X1,esk6_3(esk1_0,esk3_0,esk5_0))),X1) ),
    inference(spm,[status(thm)],[c_0_209,c_0_173]) ).

cnf(c_0_216,negated_conjecture,
    k3_waybel_0(esk2_0,esk4_0,esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))) = k3_waybel_0(esk1_0,esk3_0,esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_196]),c_0_211]),c_0_212]) ).

cnf(c_0_217,plain,
    ( v3_struct_0(X1)
    | v3_struct_0(X2)
    | r2_hidden(k3_waybel_0(X1,X2,X3),X4)
    | ~ l1_struct_0(X1)
    | ~ l1_waybel_0(X2,X1)
    | ~ r1_waybel_0(X1,X2,X4)
    | ~ m1_subset_1(X3,u1_struct_0(X2))
    | ~ r1_orders_2(X2,esk6_3(X1,X2,X4),X3) ),
    i_0_26 ).

cnf(c_0_218,negated_conjecture,
    ( r1_orders_2(esk3_0,esk6_3(esk1_0,esk3_0,esk5_0),esk7_4(esk2_0,esk4_0,X1,esk6_3(esk1_0,esk3_0,esk5_0)))
    | r1_waybel_0(esk2_0,esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_173])]),c_0_183]) ).

cnf(c_0_219,negated_conjecture,
    ~ r2_hidden(k3_waybel_0(esk1_0,esk3_0,esk7_4(esk2_0,esk4_0,esk5_0,esk6_3(esk1_0,esk3_0,esk5_0))),esk5_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_216]),c_0_182]) ).

cnf(c_0_220,plain,
    ( r2_hidden(k3_waybel_0(esk1_0,esk3_0,esk7_4(esk2_0,esk4_0,X1,esk6_3(esk1_0,esk3_0,esk5_0))),esk5_0)
    | r1_waybel_0(esk2_0,esk4_0,X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_217,c_0_218]),c_0_168]),c_0_154]),c_0_153]),c_0_156])]),c_0_158]),c_0_157]),c_0_183]) ).

cnf(c_0_221,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_182]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : TOP046+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun May 29 07:43:39 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected complete mode:
% 7.48/2.35  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.48/2.35  # No SInE strategy applied
% 7.48/2.35  # Trying AutoSched0 for 150 seconds
% 7.48/2.35  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.48/2.35  # and selection function SelectCQArNTNpEqFirst.
% 7.48/2.35  #
% 7.48/2.35  # Preprocessing time       : 0.014 s
% 7.48/2.35  # Presaturation interreduction done
% 7.48/2.35  
% 7.48/2.35  # Proof found!
% 7.48/2.35  # SZS status Theorem
% 7.48/2.35  # SZS output start CNFRefutation
% See solution above
% 7.48/2.35  # Training examples: 0 positive, 0 negative
% 7.48/2.35  
% 7.48/2.35  # -------------------------------------------------
% 7.48/2.35  # User time                : 0.044 s
% 7.48/2.35  # System time              : 0.004 s
% 7.48/2.35  # Total time               : 0.048 s
% 7.48/2.35  # Maximum resident set size: 7120 pages
% 7.48/2.35  
%------------------------------------------------------------------------------