TSTP Solution File: LAT359+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LAT359+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n004.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 04:30:18 EDT 2022

% Result   : Theorem 9.16s 2.55s
% Output   : CNFRefutation 9.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   87 (  24 unt;   9 nHn;  79 RR)
%            Number of literals    :  250 (  42 equ; 170 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   6 con; 0-3 aty)
%            Number of variables   :  138 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_140,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_140) ).

cnf(i_0_44,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
    | X2 != k1_funct_1(X3,X1)
    | ~ v1_funct_1(X3)
    | ~ v1_relat_1(X3)
    | ~ r2_hidden(X1,k1_relat_1(X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_44) ).

cnf(i_0_27,plain,
    ( v1_funct_1(X1)
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_27) ).

cnf(i_0_138,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_138) ).

cnf(i_0_67,plain,
    m1_subset_1(esk9_1(X1),X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_67) ).

cnf(i_0_139,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_139) ).

cnf(i_0_127,plain,
    v1_xboole_0(esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_127) ).

cnf(i_0_128,plain,
    v1_relat_1(esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_128) ).

cnf(i_0_126,plain,
    v1_funct_1(esk14_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_126) ).

cnf(i_0_57,plain,
    ( l1_altcat_1(X1)
    | ~ l2_altcat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_57) ).

cnf(i_0_3,negated_conjecture,
    l2_altcat_1(esk1_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_3) ).

cnf(i_0_58,plain,
    ( v1_funct_1(X1)
    | ~ m1_pboole(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_58) ).

cnf(i_0_61,plain,
    ( m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
    | ~ l1_altcat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_61) ).

cnf(i_0_59,plain,
    ( v1_relat_1(X1)
    | ~ m1_pboole(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_59) ).

cnf(i_0_107,plain,
    v1_xboole_0(k1_xboole_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_107) ).

cnf(i_0_2,negated_conjecture,
    r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_2) ).

cnf(i_0_38,plain,
    ( k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_altcat_1(X1,X2,X3)
    | ~ l1_altcat_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_38) ).

cnf(i_0_40,plain,
    ( k1_relat_1(X1) = X2
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1)
    | ~ m1_pboole(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_40) ).

cnf(i_0_42,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(X2,k1_relat_1(X3))
    | X1 != k1_funct_1(X3,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_relat_1(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_42) ).

cnf(i_0_37,plain,
    ( k1_funct_1(X1,k2_tarski(k2_tarski(X2,X3),k1_tarski(X2))) = k1_binop_1(X1,X2,X3)
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_37) ).

cnf(i_0_137,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_137) ).

cnf(i_0_135,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X3,X1),k1_tarski(X3)),k2_zfmisc_1(X4,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_135) ).

cnf(i_0_1,negated_conjecture,
    ( X1 != esk3_0
    | X2 != esk2_0
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X2,X1))
    | ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_1) ).

cnf(i_0_136,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k1_tarski(X1)),k2_zfmisc_1(X2,X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4pdjx9pu/lgb.p',i_0_136) ).

cnf(c_0_165,plain,
    ( ~ v1_xboole_0(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_140 ).

cnf(c_0_166,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
    | X2 != k1_funct_1(X3,X1)
    | ~ v1_funct_1(X3)
    | ~ v1_relat_1(X3)
    | ~ r2_hidden(X1,k1_relat_1(X3)) ),
    i_0_44 ).

cnf(c_0_167,plain,
    ( v1_funct_1(X1)
    | ~ v1_xboole_0(X1) ),
    i_0_27 ).

cnf(c_0_168,plain,
    ( X1 != k1_funct_1(X2,X3)
    | ~ v1_xboole_0(X2)
    | ~ v1_relat_1(X2)
    | ~ r2_hidden(X3,k1_relat_1(X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).

cnf(c_0_169,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(X2,X1)
    | ~ m1_subset_1(X2,X1) ),
    i_0_138 ).

cnf(c_0_170,plain,
    m1_subset_1(esk9_1(X1),X1),
    i_0_67 ).

cnf(c_0_171,plain,
    ( X1 != k1_funct_1(X2,k2_tarski(k2_tarski(X3,X4),k1_tarski(X3)))
    | X4 != k1_funct_1(k1_relat_1(X2),X3)
    | ~ v1_xboole_0(X2)
    | ~ v1_relat_1(k1_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_funct_1(k1_relat_1(X2))
    | ~ r2_hidden(X3,k1_relat_1(k1_relat_1(X2))) ),
    inference(spm,[status(thm)],[c_0_168,c_0_166]) ).

cnf(c_0_172,plain,
    ( v1_xboole_0(X1)
    | r2_hidden(esk9_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_169,c_0_170]) ).

cnf(c_0_173,plain,
    ( X1 != k1_funct_1(k1_relat_1(X2),X3)
    | ~ v1_xboole_0(X2)
    | ~ v1_relat_1(k1_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_funct_1(k1_relat_1(X2))
    | ~ r2_hidden(X3,k1_relat_1(k1_relat_1(X2))) ),
    inference(er,[status(thm)],[c_0_171]) ).

cnf(c_0_174,plain,
    ( v1_xboole_0(k1_relat_1(X1))
    | X2 != k1_funct_1(X1,esk9_1(k1_relat_1(X1)))
    | ~ v1_xboole_0(X1)
    | ~ v1_relat_1(X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_172]) ).

cnf(c_0_175,plain,
    ( X1 = k1_xboole_0
    | ~ v1_xboole_0(X1) ),
    i_0_139 ).

cnf(c_0_176,plain,
    v1_xboole_0(esk14_0),
    i_0_127 ).

cnf(c_0_177,plain,
    ( v1_xboole_0(k1_relat_1(k1_relat_1(X1)))
    | X2 != k1_funct_1(k1_relat_1(X1),esk9_1(k1_relat_1(k1_relat_1(X1))))
    | ~ v1_xboole_0(X1)
    | ~ v1_relat_1(k1_relat_1(X1))
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(k1_relat_1(X1)) ),
    inference(spm,[status(thm)],[c_0_173,c_0_172]) ).

cnf(c_0_178,plain,
    ( v1_xboole_0(k1_relat_1(X1))
    | ~ v1_xboole_0(X1)
    | ~ v1_relat_1(X1) ),
    inference(er,[status(thm)],[c_0_174]) ).

cnf(c_0_179,plain,
    v1_relat_1(esk14_0),
    i_0_128 ).

cnf(c_0_180,plain,
    esk14_0 = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_181,plain,
    v1_funct_1(esk14_0),
    i_0_126 ).

cnf(c_0_182,plain,
    ( X1 != k1_funct_1(k1_relat_1(X2),k2_tarski(k2_tarski(X3,X4),k1_tarski(X3)))
    | X4 != k1_funct_1(k1_relat_1(k1_relat_1(X2)),X3)
    | ~ v1_xboole_0(X2)
    | ~ v1_relat_1(k1_relat_1(k1_relat_1(X2)))
    | ~ v1_relat_1(k1_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_funct_1(k1_relat_1(k1_relat_1(X2)))
    | ~ v1_funct_1(k1_relat_1(X2))
    | ~ r2_hidden(X3,k1_relat_1(k1_relat_1(k1_relat_1(X2)))) ),
    inference(spm,[status(thm)],[c_0_173,c_0_166]) ).

cnf(c_0_183,plain,
    ( v1_xboole_0(k1_relat_1(k1_relat_1(X1)))
    | ~ v1_xboole_0(X1)
    | ~ v1_relat_1(k1_relat_1(X1))
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(k1_relat_1(X1)) ),
    inference(er,[status(thm)],[c_0_177]) ).

cnf(c_0_184,plain,
    ( k1_relat_1(X1) = k1_xboole_0
    | ~ v1_xboole_0(X1)
    | ~ v1_relat_1(X1) ),
    inference(spm,[status(thm)],[c_0_175,c_0_178]) ).

cnf(c_0_185,plain,
    v1_relat_1(k1_xboole_0),
    inference(rw,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_186,plain,
    v1_funct_1(k1_xboole_0),
    inference(rw,[status(thm)],[c_0_181,c_0_180]) ).

cnf(c_0_187,plain,
    ( l1_altcat_1(X1)
    | ~ l2_altcat_1(X1) ),
    i_0_57 ).

cnf(c_0_188,negated_conjecture,
    l2_altcat_1(esk1_0),
    i_0_3 ).

cnf(c_0_189,plain,
    ( v1_funct_1(X1)
    | ~ m1_pboole(X1,X2) ),
    i_0_58 ).

cnf(c_0_190,plain,
    ( m1_pboole(u1_altcat_1(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)))
    | ~ l1_altcat_1(X1) ),
    i_0_61 ).

cnf(c_0_191,plain,
    ( v1_relat_1(X1)
    | ~ m1_pboole(X1,X2) ),
    i_0_59 ).

cnf(c_0_192,plain,
    ( X1 != k1_funct_1(k1_relat_1(k1_relat_1(X2)),X3)
    | ~ v1_xboole_0(X2)
    | ~ v1_relat_1(k1_relat_1(k1_relat_1(X2)))
    | ~ v1_relat_1(k1_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_funct_1(k1_relat_1(k1_relat_1(X2)))
    | ~ v1_funct_1(k1_relat_1(X2))
    | ~ r2_hidden(X3,k1_relat_1(k1_relat_1(k1_relat_1(X2)))) ),
    inference(er,[status(thm)],[c_0_182]) ).

cnf(c_0_193,plain,
    ( v1_xboole_0(k1_relat_1(k1_xboole_0))
    | ~ v1_xboole_0(X1)
    | ~ v1_relat_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_186])]) ).

cnf(c_0_194,plain,
    v1_xboole_0(k1_xboole_0),
    i_0_107 ).

cnf(c_0_195,negated_conjecture,
    r2_hidden(esk4_0,k1_binop_1(u1_altcat_1(esk1_0),esk2_0,esk3_0)),
    i_0_2 ).

cnf(c_0_196,plain,
    ( k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_altcat_1(X1,X2,X3)
    | ~ l1_altcat_1(X1)
    | ~ m1_subset_1(X3,u1_struct_0(X1))
    | ~ m1_subset_1(X2,u1_struct_0(X1)) ),
    i_0_38 ).

cnf(c_0_197,negated_conjecture,
    l1_altcat_1(esk1_0),
    inference(spm,[status(thm)],[c_0_187,c_0_188]) ).

cnf(c_0_198,plain,
    ( k1_relat_1(X1) = X2
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1)
    | ~ m1_pboole(X1,X2) ),
    i_0_40 ).

cnf(c_0_199,plain,
    ( v1_funct_1(u1_altcat_1(X1))
    | ~ l1_altcat_1(X1) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_200,plain,
    ( v1_relat_1(u1_altcat_1(X1))
    | ~ l1_altcat_1(X1) ),
    inference(spm,[status(thm)],[c_0_191,c_0_190]) ).

cnf(c_0_201,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(X2,k1_relat_1(X3))
    | X1 != k1_funct_1(X3,X2)
    | ~ v1_funct_1(X3)
    | ~ v1_relat_1(X3) ),
    i_0_42 ).

cnf(c_0_202,plain,
    ( k1_funct_1(X1,k2_tarski(k2_tarski(X2,X3),k1_tarski(X2))) = k1_binop_1(X1,X2,X3)
    | ~ v1_funct_1(X1)
    | ~ v1_relat_1(X1) ),
    i_0_37 ).

cnf(c_0_203,plain,
    ( X1 != k1_funct_1(k1_relat_1(k1_relat_1(X2)),k2_tarski(k2_tarski(X3,X4),k1_tarski(X3)))
    | X4 != k1_funct_1(k1_relat_1(k1_relat_1(k1_relat_1(X2))),X3)
    | ~ v1_xboole_0(X2)
    | ~ v1_relat_1(k1_relat_1(k1_relat_1(k1_relat_1(X2))))
    | ~ v1_relat_1(k1_relat_1(k1_relat_1(X2)))
    | ~ v1_relat_1(k1_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_funct_1(k1_relat_1(k1_relat_1(k1_relat_1(X2))))
    | ~ v1_funct_1(k1_relat_1(k1_relat_1(X2)))
    | ~ v1_funct_1(k1_relat_1(X2))
    | ~ r2_hidden(X3,k1_relat_1(k1_relat_1(k1_relat_1(k1_relat_1(X2))))) ),
    inference(spm,[status(thm)],[c_0_192,c_0_166]) ).

cnf(c_0_204,plain,
    v1_xboole_0(k1_relat_1(k1_xboole_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_185]),c_0_194])]) ).

cnf(c_0_205,negated_conjecture,
    ( r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0))
    | ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
    | ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_197])]) ).

cnf(c_0_206,plain,
    ( m1_subset_1(X1,X2)
    | ~ r2_hidden(X1,X2) ),
    i_0_137 ).

cnf(c_0_207,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X3,X1),k1_tarski(X3)),k2_zfmisc_1(X4,X2)) ),
    i_0_135 ).

cnf(c_0_208,plain,
    ( k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)) = k1_relat_1(u1_altcat_1(X1))
    | ~ l1_altcat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_190]),c_0_199]),c_0_200]) ).

cnf(c_0_209,plain,
    ( X1 = k1_xboole_0
    | r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),k1_relat_1(X4))
    | X1 != k1_binop_1(X4,X2,X3)
    | ~ v1_relat_1(X4)
    | ~ v1_funct_1(X4) ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_210,plain,
    ( X1 != k1_funct_1(k1_relat_1(k1_relat_1(k1_relat_1(X2))),X3)
    | ~ v1_xboole_0(X2)
    | ~ v1_relat_1(k1_relat_1(k1_relat_1(k1_relat_1(X2))))
    | ~ v1_relat_1(k1_relat_1(k1_relat_1(X2)))
    | ~ v1_relat_1(k1_relat_1(X2))
    | ~ v1_relat_1(X2)
    | ~ v1_funct_1(k1_relat_1(k1_relat_1(k1_relat_1(X2))))
    | ~ v1_funct_1(k1_relat_1(k1_relat_1(X2)))
    | ~ v1_funct_1(k1_relat_1(X2))
    | ~ r2_hidden(X3,k1_relat_1(k1_relat_1(k1_relat_1(k1_relat_1(X2))))) ),
    inference(er,[status(thm)],[c_0_203]) ).

cnf(c_0_211,plain,
    k1_relat_1(k1_xboole_0) = k1_xboole_0,
    inference(spm,[status(thm)],[c_0_175,c_0_204]) ).

cnf(c_0_212,negated_conjecture,
    ( X1 != esk3_0
    | X2 != esk2_0
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X2,X1))
    | ~ m1_subset_1(esk4_0,k1_altcat_1(esk1_0,X2,X1)) ),
    i_0_1 ).

cnf(c_0_213,plain,
    ( r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0))
    | ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
    | ~ r2_hidden(esk3_0,u1_struct_0(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_214,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_altcat_1(X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X3,X1),k1_tarski(X3)),k1_relat_1(u1_altcat_1(X2))) ),
    inference(spm,[status(thm)],[c_0_207,c_0_208]) ).

cnf(c_0_215,plain,
    ( k1_binop_1(X1,X2,X3) = k1_xboole_0
    | r2_hidden(k2_tarski(k2_tarski(X2,X3),k1_tarski(X2)),k1_relat_1(X1))
    | ~ v1_relat_1(X1)
    | ~ v1_funct_1(X1) ),
    inference(er,[status(thm)],[c_0_209]) ).

cnf(c_0_216,plain,
    ( X1 != k1_funct_1(k1_xboole_0,X2)
    | ~ r2_hidden(X2,k1_xboole_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(spm,[status(thm)],[c_0_210,c_0_211]),c_0_211]),c_0_211]),c_0_194]),c_0_211]),c_0_211]),c_0_185]),c_0_211]),c_0_185]),c_0_185]),c_0_211]),c_0_211]),c_0_186]),c_0_211]),c_0_186]),c_0_186]),c_0_211]),c_0_211]),c_0_211])]) ).

cnf(c_0_217,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k1_tarski(X1)),k2_zfmisc_1(X2,X4)) ),
    i_0_136 ).

cnf(c_0_218,negated_conjecture,
    ( X1 != esk2_0
    | X2 != esk3_0
    | ~ m1_subset_1(X1,u1_struct_0(esk1_0))
    | ~ m1_subset_1(X2,u1_struct_0(esk1_0))
    | ~ r2_hidden(esk4_0,k1_altcat_1(esk1_0,X1,X2)) ),
    inference(csr,[status(thm)],[c_0_212,c_0_206]) ).

cnf(c_0_219,plain,
    ( r2_hidden(esk4_0,k1_altcat_1(esk1_0,esk2_0,esk3_0))
    | ~ r2_hidden(esk3_0,u1_struct_0(esk1_0))
    | ~ r2_hidden(esk2_0,u1_struct_0(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_213,c_0_206]) ).

cnf(c_0_220,plain,
    ( k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_xboole_0
    | r2_hidden(X3,u1_struct_0(X1))
    | ~ l1_altcat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_199]),c_0_200]) ).

cnf(c_0_221,plain,
    ~ r2_hidden(X1,k1_xboole_0),
    inference(er,[status(thm)],[c_0_216]) ).

cnf(c_0_222,plain,
    ( r2_hidden(X1,u1_struct_0(X2))
    | ~ l1_altcat_1(X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X3),k1_tarski(X1)),k1_relat_1(u1_altcat_1(X2))) ),
    inference(spm,[status(thm)],[c_0_217,c_0_208]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ r2_hidden(esk3_0,u1_struct_0(esk1_0))
    | ~ r2_hidden(esk2_0,u1_struct_0(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_206]),c_0_206]) ).

cnf(c_0_224,negated_conjecture,
    r2_hidden(esk3_0,u1_struct_0(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_220]),c_0_197])]),c_0_221]) ).

cnf(c_0_225,plain,
    ( k1_binop_1(u1_altcat_1(X1),X2,X3) = k1_xboole_0
    | r2_hidden(X2,u1_struct_0(X1))
    | ~ l1_altcat_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_215]),c_0_199]),c_0_200]) ).

cnf(c_0_226,negated_conjecture,
    ~ r2_hidden(esk2_0,u1_struct_0(esk1_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_223,c_0_224])]) ).

cnf(c_0_227,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_225]),c_0_197])]),c_0_221]),c_0_226]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT359+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n004.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 : Tue Jun 28 19:54:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 9.16/2.55  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.16/2.55  # No SInE strategy applied
% 9.16/2.55  # Trying AutoSched0 for 150 seconds
% 9.16/2.55  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 9.16/2.55  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.16/2.55  #
% 9.16/2.55  # Preprocessing time       : 0.025 s
% 9.16/2.55  
% 9.16/2.55  # Proof found!
% 9.16/2.55  # SZS status Theorem
% 9.16/2.55  # SZS output start CNFRefutation
% See solution above
% 9.16/2.56  # Training examples: 0 positive, 0 negative
% 9.16/2.56  
% 9.16/2.56  # -------------------------------------------------
% 9.16/2.56  # User time                : 0.108 s
% 9.16/2.56  # System time              : 0.009 s
% 9.16/2.56  # Total time               : 0.117 s
% 9.16/2.56  # Maximum resident set size: 7124 pages
% 9.16/2.56  
%------------------------------------------------------------------------------