TSTP Solution File: SEU412+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU412+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 : Tue Jul 19 08:42:03 EDT 2022

% Result   : Theorem 16.56s 3.56s
% Output   : CNFRefutation 16.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   80 (  17 unt;  17 nHn;  79 RR)
%            Number of literals    :  203 (  13 equ; 120 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   5 con; 0-2 aty)
%            Number of variables   :  119 (  18 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_79,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_79) ).

cnf(i_0_46,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_46) ).

cnf(i_0_47,plain,
    ( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_47) ).

cnf(i_0_74,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_74) ).

cnf(i_0_6,negated_conjecture,
    r2_hidden(k4_tarski(esk1_0,esk2_0),u1_orders_2(k1_latsum_1(esk3_0,esk4_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_6) ).

cnf(i_0_68,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_68) ).

cnf(i_0_81,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_81) ).

cnf(i_0_69,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_69) ).

cnf(i_0_82,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_82) ).

cnf(i_0_67,plain,
    ( r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))
    | ~ r2_hidden(X2,X4)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_67) ).

cnf(i_0_80,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_80) ).

cnf(i_0_54,plain,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_54) ).

cnf(i_0_16,plain,
    ( u1_struct_0(X1) = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
    | X1 != k1_latsum_1(X2,X3)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_16) ).

cnf(i_0_31,plain,
    ( l1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_31) ).

cnf(i_0_32,plain,
    ( v1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_32) ).

cnf(i_0_26,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X2 != k4_xboole_0(X4,X3)
    | ~ r2_hidden(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_26) ).

cnf(i_0_7,negated_conjecture,
    l1_orders_2(esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_7) ).

cnf(i_0_8,negated_conjecture,
    l1_orders_2(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_8) ).

cnf(i_0_1,negated_conjecture,
    ( ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
    | ~ r2_hidden(esk2_0,k4_xboole_0(u1_struct_0(esk4_0),u1_struct_0(esk3_0))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_1) ).

cnf(i_0_22,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X4 != k2_xboole_0(X3,X2)
    | ~ r2_hidden(X1,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_22) ).

cnf(i_0_2,negated_conjecture,
    ( ~ r2_hidden(esk1_0,u1_struct_0(esk4_0))
    | ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    ( ~ r2_hidden(esk1_0,u1_struct_0(esk3_0))
    | ~ r2_hidden(esk2_0,u1_struct_0(esk3_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_3) ).

cnf(i_0_70,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X3)
    | ~ r2_hidden(X4,u1_struct_0(X2))
    | ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X2)),X3)
    | ~ r2_hidden(k4_tarski(X4,X1),u1_orders_2(k1_latsum_1(X3,X2)))
    | ~ m1_subset_1(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X3))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_70) ).

cnf(i_0_4,negated_conjecture,
    m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk3_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_4) ).

cnf(i_0_5,negated_conjecture,
    v13_waybel_0(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-atd8nubh/input.p',i_0_5) ).

cnf(c_0_108,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
    i_0_79 ).

cnf(c_0_109,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_46 ).

cnf(c_0_110,plain,
    ( m1_subset_1(X1,k2_zfmisc_1(X2,X3))
    | ~ m2_relset_1(X4,X2,X3)
    | ~ r2_hidden(X1,X4) ),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_111,plain,
    ( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
    | ~ l1_orders_2(X1) ),
    i_0_47 ).

cnf(c_0_112,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_74 ).

cnf(c_0_113,plain,
    ( m1_subset_1(X1,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)))
    | ~ r2_hidden(X1,u1_orders_2(X2))
    | ~ l1_orders_2(X2) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_114,plain,
    ( r2_hidden(X1,k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)))
    | v1_xboole_0(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)))
    | ~ r2_hidden(X1,u1_orders_2(X2))
    | ~ l1_orders_2(X2) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_115,negated_conjecture,
    r2_hidden(k4_tarski(esk1_0,esk2_0),u1_orders_2(k1_latsum_1(esk3_0,esk4_0))),
    i_0_6 ).

cnf(c_0_116,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(k4_tarski(X3,X1),k2_zfmisc_1(X4,X2)) ),
    i_0_68 ).

cnf(c_0_117,negated_conjecture,
    ( r2_hidden(k4_tarski(esk1_0,esk2_0),k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
    | v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_118,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    i_0_81 ).

cnf(c_0_119,plain,
    ( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]) ).

cnf(c_0_120,plain,
    ( k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))) = k1_xboole_0
    | r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_121,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(k4_tarski(X1,X3),k2_zfmisc_1(X2,X4)) ),
    i_0_69 ).

cnf(c_0_122,plain,
    ( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | m1_subset_1(X1,k1_zfmisc_1(k1_xboole_0))
    | ~ m2_relset_1(X1,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_109,c_0_120]) ).

cnf(c_0_123,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_82 ).

cnf(c_0_124,plain,
    ( r2_hidden(k4_tarski(X1,X2),k2_zfmisc_1(X3,X4))
    | ~ r2_hidden(X2,X4)
    | ~ r2_hidden(X1,X3) ),
    i_0_67 ).

cnf(c_0_125,plain,
    ( r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | v1_xboole_0(k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_121,c_0_117]) ).

cnf(c_0_126,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X3)
    | ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
    i_0_80 ).

cnf(c_0_127,plain,
    ( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | m1_subset_1(u1_orders_2(k1_latsum_1(esk3_0,esk4_0)),k1_zfmisc_1(k1_xboole_0))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_122,c_0_111]) ).

cnf(c_0_128,plain,
    v1_xboole_0(k1_xboole_0),
    i_0_54 ).

cnf(c_0_129,plain,
    ( ~ r2_hidden(X1,X2)
    | ~ r2_hidden(X3,X4)
    | ~ v1_xboole_0(k2_zfmisc_1(X4,X2)) ),
    inference(spm,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_130,plain,
    ( k2_zfmisc_1(u1_struct_0(k1_latsum_1(esk3_0,esk4_0)),u1_struct_0(k1_latsum_1(esk3_0,esk4_0))) = k1_xboole_0
    | r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_118,c_0_125]) ).

cnf(c_0_131,plain,
    ( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ r2_hidden(X1,u1_orders_2(k1_latsum_1(esk3_0,esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128])]) ).

cnf(c_0_132,plain,
    ( u1_struct_0(X1) = k2_xboole_0(u1_struct_0(X2),u1_struct_0(X3))
    | X1 != k1_latsum_1(X2,X3)
    | ~ l1_orders_2(X3)
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1)
    | ~ v1_orders_2(X1) ),
    i_0_16 ).

cnf(c_0_133,plain,
    ( l1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    i_0_31 ).

cnf(c_0_134,plain,
    ( v1_orders_2(k1_latsum_1(X1,X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    i_0_32 ).

cnf(c_0_135,plain,
    ( r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ r2_hidden(X1,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ r2_hidden(X2,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_128])]) ).

cnf(c_0_136,negated_conjecture,
    ( r2_hidden(esk2_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_131,c_0_115]) ).

cnf(c_0_137,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X2 != k4_xboole_0(X4,X3)
    | ~ r2_hidden(X1,X4) ),
    i_0_26 ).

cnf(c_0_138,plain,
    ( u1_struct_0(k1_latsum_1(X1,X2)) = k2_xboole_0(u1_struct_0(X1),u1_struct_0(X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_132]),c_0_133]),c_0_134]) ).

cnf(c_0_139,negated_conjecture,
    l1_orders_2(esk4_0),
    i_0_7 ).

cnf(c_0_140,negated_conjecture,
    l1_orders_2(esk3_0),
    i_0_8 ).

cnf(c_0_141,negated_conjecture,
    ( r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ r2_hidden(X1,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
    | ~ r2_hidden(esk2_0,k4_xboole_0(u1_struct_0(esk4_0),u1_struct_0(esk3_0))) ),
    i_0_1 ).

cnf(c_0_143,plain,
    ( r2_hidden(X1,k4_xboole_0(X2,X3))
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X2) ),
    inference(er,[status(thm)],[c_0_137]) ).

cnf(c_0_144,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | X4 != k2_xboole_0(X3,X2)
    | ~ r2_hidden(X1,X4) ),
    i_0_22 ).

cnf(c_0_145,plain,
    ( r2_hidden(esk2_0,k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_138]),c_0_139]),c_0_140])]) ).

cnf(c_0_146,negated_conjecture,
    ( r2_hidden(esk1_0,u1_struct_0(k1_latsum_1(esk3_0,esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_136]) ).

cnf(c_0_147,negated_conjecture,
    ( r2_hidden(esk2_0,u1_struct_0(esk3_0))
    | ~ r2_hidden(esk1_0,k4_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
    | ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ r2_hidden(esk1_0,u1_struct_0(esk4_0))
    | ~ r2_hidden(esk2_0,u1_struct_0(esk4_0)) ),
    i_0_2 ).

cnf(c_0_149,negated_conjecture,
    ( ~ r2_hidden(esk1_0,u1_struct_0(esk3_0))
    | ~ r2_hidden(esk2_0,u1_struct_0(esk3_0)) ),
    i_0_3 ).

cnf(c_0_150,plain,
    ( r2_hidden(X1,X2)
    | r2_hidden(X1,X3)
    | ~ r2_hidden(X1,k2_xboole_0(X2,X3)) ),
    inference(er,[status(thm)],[c_0_144]) ).

cnf(c_0_151,plain,
    r2_hidden(esk2_0,k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_133]),c_0_139]),c_0_140])]) ).

cnf(c_0_152,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_orders_2(X2)
    | ~ l1_orders_2(X3)
    | ~ r2_hidden(X4,u1_struct_0(X2))
    | ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X2)),X3)
    | ~ r2_hidden(k4_tarski(X4,X1),u1_orders_2(k1_latsum_1(X3,X2)))
    | ~ m1_subset_1(k3_xboole_0(u1_struct_0(X3),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X3))) ),
    i_0_70 ).

cnf(c_0_153,negated_conjecture,
    m1_subset_1(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),k1_zfmisc_1(u1_struct_0(esk3_0))),
    i_0_4 ).

cnf(c_0_154,negated_conjecture,
    v13_waybel_0(k3_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)),esk3_0),
    i_0_5 ).

cnf(c_0_155,plain,
    ( r2_hidden(esk1_0,k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0)))
    | ~ l1_orders_2(k1_latsum_1(esk3_0,esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_138]),c_0_139]),c_0_140])]) ).

cnf(c_0_156,plain,
    ( ~ r2_hidden(esk2_0,u1_struct_0(esk4_0))
    | ~ r2_hidden(esk1_0,u1_struct_0(esk3_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_143]),c_0_148]),c_0_149]) ).

cnf(c_0_157,plain,
    ( r2_hidden(esk2_0,u1_struct_0(esk4_0))
    | r2_hidden(esk2_0,u1_struct_0(esk3_0)) ),
    inference(spm,[status(thm)],[c_0_150,c_0_151]) ).

cnf(c_0_158,negated_conjecture,
    ( r2_hidden(X1,u1_struct_0(esk4_0))
    | ~ r2_hidden(k4_tarski(X2,X1),u1_orders_2(k1_latsum_1(esk3_0,esk4_0)))
    | ~ r2_hidden(X2,u1_struct_0(esk4_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]),c_0_140]),c_0_139])]) ).

cnf(c_0_159,plain,
    r2_hidden(esk1_0,k2_xboole_0(u1_struct_0(esk3_0),u1_struct_0(esk4_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_133]),c_0_139]),c_0_140])]) ).

cnf(c_0_160,plain,
    ~ r2_hidden(esk1_0,u1_struct_0(esk3_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_149]) ).

cnf(c_0_161,negated_conjecture,
    ~ r2_hidden(esk1_0,u1_struct_0(esk4_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_115]),c_0_148]) ).

cnf(c_0_162,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_159]),c_0_160]),c_0_161]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SEU412+1 : TPTP v8.1.0. Released v3.4.0.
% 0.13/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 21:14:00 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected complete mode:
% 16.56/3.56  # ENIGMATIC: Solved by Enigma+tptp-cade20-model02-h2e15+lgb-t150-d30-l6400-e0.15+coop-mzr02:
% 16.56/3.56  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model02-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 56; version: 991; iters: 150)
% 16.56/3.56  # Preprocessing time       : 0.879 s
% 16.56/3.56  
% 16.56/3.56  # Proof found!
% 16.56/3.56  # SZS status Theorem
% 16.56/3.56  # SZS output start CNFRefutation
% See solution above
% 16.56/3.56  # Training examples: 0 positive, 0 negative
% 16.56/3.56  
% 16.56/3.56  # -------------------------------------------------
% 16.56/3.56  # User time                : 0.868 s
% 16.56/3.56  # System time              : 0.107 s
% 16.56/3.56  # Total time               : 0.975 s
% 16.56/3.56  # ...preprocessing         : 0.879 s
% 16.56/3.56  # ...main loop             : 0.096 s
% 16.56/3.56  # Maximum resident set size: 167532 pages
% 16.56/3.56  
%------------------------------------------------------------------------------