TSTP Solution File: SEU440+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU440+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 08:42:33 EDT 2022

% Result   : Theorem 232.66s 33.10s
% Output   : CNFRefutation 232.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   30
% Syntax   : Number of clauses     :  108 (  16 unt;   0 nHn; 101 RR)
%            Number of literals    :  251 (  29 equ; 156 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;   5 con; 0-5 aty)
%            Number of variables   :  210 (  27 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_4196,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3))
    | ~ r1_xboole_0(X1,k3_subset_1(X3,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_4196) ).

cnf(i_0_3301,plain,
    ( r1_xboole_0(X1,k3_subset_1(X2,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_3301) ).

cnf(i_0_3978,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_3978) ).

cnf(i_0_2251,plain,
    ( r1_tarski(k1_relat_1(X1),X2)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_2251) ).

cnf(i_0_4530,negated_conjecture,
    m2_relset_1(esk617_0,esk614_0,esk615_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_4530) ).

cnf(i_0_45,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_45) ).

cnf(i_0_980,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_980) ).

cnf(i_0_1966,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_1966) ).

cnf(i_0_368,plain,
    ( r1_tarski(X1,k2_zfmisc_1(X2,X3))
    | ~ m1_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_368) ).

cnf(i_0_2362,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X4,X3)
    | ~ r1_tarski(k1_relat_1(X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_2362) ).

cnf(i_0_4427,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ r1_tarski(X1,X4)
    | ~ m2_relset_1(X4,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_4427) ).

cnf(i_0_4528,negated_conjecture,
    ( k10_relset_1(esk615_0,esk614_0,k6_relset_1(esk614_0,esk615_0,esk617_0),k1_funct_5(esk618_0)) != k1_funct_5(k9_relset_2(esk614_0,esk615_0,esk616_0,esk617_0,esk618_0))
    | ~ r1_tarski(k1_funct_5(k9_relset_2(esk614_0,esk615_0,esk616_0,esk617_0,esk618_0)),k1_funct_5(esk617_0)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_4528) ).

cnf(i_0_1963,plain,
    ( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_1963) ).

cnf(i_0_1968,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_1968) ).

cnf(i_0_947,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_947) ).

cnf(i_0_4529,negated_conjecture,
    m2_relset_1(esk618_0,esk615_0,esk616_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_4529) ).

cnf(i_0_2576,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ r1_tarski(X4,X2)
    | ~ m2_relset_1(X1,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_2576) ).

cnf(i_0_3442,plain,
    ( r1_tarski(k2_relat_1(X1),k3_relat_1(X1))
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_3442) ).

cnf(i_0_3848,plain,
    ( k2_relat_1(k4_relat_1(X1)) = k1_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_3848) ).

cnf(i_0_931,plain,
    ( v1_relat_1(k4_relat_1(X1))
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_931) ).

cnf(i_0_3038,plain,
    ( k1_funct_5(X1) = k1_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_3038) ).

cnf(i_0_2601,plain,
    ( k2_relat_1(k5_relat_1(X1,X2)) = k9_relat_1(X2,k2_relat_1(X1))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_2601) ).

cnf(i_0_1940,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_1940) ).

cnf(i_0_4610,plain,
    ( k5_relat_1(k4_relat_1(X1),k4_relat_1(X2)) = k4_relat_1(k5_relat_1(X2,X1))
    | ~ v1_relat_1(X1)
    | ~ v1_relat_1(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_4610) ).

cnf(i_0_5343,plain,
    ( r1_tarski(k1_relat_1(k7_relat_1(X1,X2)),X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_5343) ).

cnf(i_0_2091,plain,
    ( k5_relat_1(k7_relat_1(X1,X2),X3) = k7_relat_1(k5_relat_1(X1,X3),X2)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_2091) ).

cnf(i_0_939,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_939) ).

cnf(i_0_2476,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X4)
    | ~ r1_tarski(k2_relat_1(X1),X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_2476) ).

cnf(i_0_5472,plain,
    ( k7_relat_1(X1,X2) = X1
    | ~ v1_relat_1(X1)
    | ~ r1_tarski(k1_relat_1(X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_5472) ).

cnf(i_0_3979,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-tb_2xfh7/lgb.p',i_0_3979) ).

cnf(c_0_5503,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X2,k1_zfmisc_1(X3))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X3))
    | ~ r1_xboole_0(X1,k3_subset_1(X3,X2)) ),
    i_0_4196 ).

cnf(c_0_5504,plain,
    ( r1_xboole_0(X1,k3_subset_1(X2,X1))
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_3301 ).

cnf(c_0_5505,plain,
    ( r1_tarski(X1,X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    inference(spm,[status(thm)],[c_0_5503,c_0_5504]) ).

cnf(c_0_5506,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(X2))
    | ~ r1_tarski(X1,X2) ),
    i_0_3978 ).

cnf(c_0_5507,plain,
    ( r1_tarski(k1_relat_1(X1),X2)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_2251 ).

cnf(c_0_5508,negated_conjecture,
    m2_relset_1(esk617_0,esk614_0,esk615_0),
    i_0_4530 ).

cnf(c_0_5509,plain,
    ( v1_relat_1(X1)
    | ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
    i_0_45 ).

cnf(c_0_5510,plain,
    ( r1_tarski(X1,X1)
    | ~ r1_tarski(X1,X2) ),
    inference(spm,[status(thm)],[c_0_5505,c_0_5506]) ).

cnf(c_0_5511,negated_conjecture,
    r1_tarski(k1_relat_1(esk617_0),esk614_0),
    inference(spm,[status(thm)],[c_0_5507,c_0_5508]) ).

cnf(c_0_5512,plain,
    ( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_980 ).

cnf(c_0_5513,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X5,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
    i_0_1966 ).

cnf(c_0_5514,plain,
    ( v1_relat_1(X1)
    | ~ r1_tarski(X1,k2_zfmisc_1(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_5509,c_0_5506]) ).

cnf(c_0_5515,plain,
    ( r1_tarski(X1,k2_zfmisc_1(X2,X3))
    | ~ m1_relset_1(X1,X2,X3) ),
    i_0_368 ).

cnf(c_0_5516,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X4,X3)
    | ~ r1_tarski(k1_relat_1(X1),X2) ),
    i_0_2362 ).

cnf(c_0_5517,negated_conjecture,
    r1_tarski(k1_relat_1(esk617_0),k1_relat_1(esk617_0)),
    inference(spm,[status(thm)],[c_0_5510,c_0_5511]) ).

cnf(c_0_5518,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ r1_tarski(X1,X4)
    | ~ m2_relset_1(X4,X2,X3) ),
    i_0_4427 ).

cnf(c_0_5519,plain,
    ( r1_tarski(X1,X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_5505,c_0_5512]) ).

cnf(c_0_5520,negated_conjecture,
    ( k10_relset_1(esk615_0,esk614_0,k6_relset_1(esk614_0,esk615_0,esk617_0),k1_funct_5(esk618_0)) != k1_funct_5(k9_relset_2(esk614_0,esk615_0,esk616_0,esk617_0,esk618_0))
    | ~ r1_tarski(k1_funct_5(k9_relset_2(esk614_0,esk615_0,esk616_0,esk617_0,esk618_0)),k1_funct_5(esk617_0)) ),
    i_0_4528 ).

cnf(c_0_5521,plain,
    ( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_1963 ).

cnf(c_0_5522,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
    | ~ r1_tarski(X5,k2_zfmisc_1(X2,X3)) ),
    inference(spm,[status(thm)],[c_0_5513,c_0_5506]) ).

cnf(c_0_5523,plain,
    ( v1_relat_1(X1)
    | ~ m1_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_5514,c_0_5515]) ).

cnf(c_0_5524,plain,
    ( m1_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X3) ),
    i_0_1968 ).

cnf(c_0_5525,plain,
    ( m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_947 ).

cnf(c_0_5526,plain,
    ( m2_relset_1(esk617_0,k1_relat_1(esk617_0),X1)
    | ~ m2_relset_1(esk617_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_5516,c_0_5517]) ).

cnf(c_0_5527,negated_conjecture,
    ( m2_relset_1(X1,esk614_0,esk615_0)
    | ~ r1_tarski(X1,esk617_0) ),
    inference(spm,[status(thm)],[c_0_5518,c_0_5508]) ).

cnf(c_0_5528,negated_conjecture,
    r1_tarski(esk617_0,esk617_0),
    inference(spm,[status(thm)],[c_0_5519,c_0_5508]) ).

cnf(c_0_5529,negated_conjecture,
    ( k10_relset_1(esk615_0,esk614_0,k4_relat_1(esk617_0),k1_funct_5(esk618_0)) != k1_funct_5(k9_relset_2(esk614_0,esk615_0,esk616_0,esk617_0,esk618_0))
    | ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ r1_tarski(k1_funct_5(k9_relset_2(esk614_0,esk615_0,esk616_0,esk617_0,esk618_0)),k1_funct_5(esk617_0)) ),
    inference(spm,[status(thm)],[c_0_5520,c_0_5521]) ).

cnf(c_0_5530,plain,
    ( k9_relset_2(X1,X2,X3,X4,X5) = k5_relat_1(X4,X5)
    | ~ r1_tarski(X5,k2_zfmisc_1(X2,X3))
    | ~ r1_tarski(X4,k2_zfmisc_1(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_5522,c_0_5506]) ).

cnf(c_0_5531,plain,
    ( v1_relat_1(X1)
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_5523,c_0_5524]) ).

cnf(c_0_5532,negated_conjecture,
    m2_relset_1(esk618_0,esk615_0,esk616_0),
    i_0_4529 ).

cnf(c_0_5533,plain,
    ( r1_tarski(k1_relat_1(k6_relset_1(X1,X2,X3)),X2)
    | ~ m1_relset_1(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_5507,c_0_5525]) ).

cnf(c_0_5534,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ r1_tarski(X4,X2)
    | ~ m2_relset_1(X1,X4,X3) ),
    i_0_2576 ).

cnf(c_0_5535,negated_conjecture,
    m2_relset_1(esk617_0,k1_relat_1(esk617_0),esk615_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5526,c_0_5527]),c_0_5528])]) ).

cnf(c_0_5536,plain,
    ( r1_tarski(k2_relat_1(X1),k3_relat_1(X1))
    | ~ v1_relat_1(X1) ),
    i_0_3442 ).

cnf(c_0_5537,plain,
    ( k2_relat_1(k4_relat_1(X1)) = k1_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    i_0_3848 ).

cnf(c_0_5538,plain,
    ( v1_relat_1(k4_relat_1(X1))
    | ~ v1_relat_1(X1) ),
    i_0_931 ).

cnf(c_0_5539,negated_conjecture,
    ( k10_relset_1(esk615_0,esk614_0,k4_relat_1(esk617_0),k1_funct_5(esk618_0)) != k1_funct_5(k5_relat_1(esk617_0,esk618_0))
    | ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ r1_tarski(k1_funct_5(k5_relat_1(esk617_0,esk618_0)),k1_funct_5(esk617_0))
    | ~ r1_tarski(esk618_0,k2_zfmisc_1(esk615_0,esk616_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5529,c_0_5530]),c_0_5515]) ).

cnf(c_0_5540,plain,
    ( k1_funct_5(X1) = k1_relat_1(X1)
    | ~ v1_relat_1(X1) ),
    i_0_3038 ).

cnf(c_0_5541,negated_conjecture,
    v1_relat_1(esk618_0),
    inference(spm,[status(thm)],[c_0_5531,c_0_5532]) ).

cnf(c_0_5542,plain,
    ( k2_relat_1(k5_relat_1(X1,X2)) = k9_relat_1(X2,k2_relat_1(X1))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_2601 ).

cnf(c_0_5543,plain,
    ( r1_tarski(k1_relat_1(k4_relat_1(X1)),X2)
    | ~ m1_relset_1(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_5533,c_0_5521]) ).

cnf(c_0_5544,plain,
    ( m2_relset_1(esk617_0,X1,esk615_0)
    | ~ r1_tarski(k1_relat_1(esk617_0),X1) ),
    inference(spm,[status(thm)],[c_0_5534,c_0_5535]) ).

cnf(c_0_5545,plain,
    ( r1_tarski(k1_relat_1(X1),k3_relat_1(k4_relat_1(X1)))
    | ~ v1_relat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5536,c_0_5537]),c_0_5538]) ).

cnf(c_0_5546,negated_conjecture,
    v1_relat_1(esk617_0),
    inference(spm,[status(thm)],[c_0_5531,c_0_5508]) ).

cnf(c_0_5547,plain,
    ( k10_relset_1(esk615_0,esk614_0,k4_relat_1(esk617_0),k1_relat_1(esk618_0)) != k1_funct_5(k5_relat_1(esk617_0,esk618_0))
    | ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ r1_tarski(k1_funct_5(k5_relat_1(esk617_0,esk618_0)),k1_funct_5(esk617_0))
    | ~ r1_tarski(esk618_0,k2_zfmisc_1(esk615_0,esk616_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5539,c_0_5540]),c_0_5541])]) ).

cnf(c_0_5548,plain,
    ( k10_relset_1(X1,X2,X3,X4) = k9_relat_1(X3,X4)
    | ~ m1_relset_1(X3,X1,X2) ),
    i_0_1940 ).

cnf(c_0_5549,plain,
    ( k2_relat_1(k5_relat_1(k4_relat_1(X1),X2)) = k9_relat_1(X2,k1_relat_1(X1))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5542,c_0_5537]),c_0_5538]) ).

cnf(c_0_5550,plain,
    ( k5_relat_1(k4_relat_1(X1),k4_relat_1(X2)) = k4_relat_1(k5_relat_1(X2,X1))
    | ~ v1_relat_1(X1)
    | ~ v1_relat_1(X2) ),
    i_0_4610 ).

cnf(c_0_5551,plain,
    ( r1_tarski(k1_relat_1(k4_relat_1(X1)),X2)
    | ~ m2_relset_1(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_5543,c_0_5524]) ).

cnf(c_0_5552,plain,
    m2_relset_1(esk617_0,k3_relat_1(k4_relat_1(esk617_0)),esk615_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5544,c_0_5545]),c_0_5546])]) ).

cnf(c_0_5553,plain,
    ( k9_relat_1(k4_relat_1(esk617_0),k1_relat_1(esk618_0)) != k1_funct_5(k5_relat_1(esk617_0,esk618_0))
    | ~ m1_relset_1(k4_relat_1(esk617_0),esk615_0,esk614_0)
    | ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ r1_tarski(k1_funct_5(k5_relat_1(esk617_0,esk618_0)),k1_funct_5(esk617_0))
    | ~ r1_tarski(esk618_0,k2_zfmisc_1(esk615_0,esk616_0)) ),
    inference(spm,[status(thm)],[c_0_5547,c_0_5548]) ).

cnf(c_0_5554,plain,
    ( k9_relat_1(k4_relat_1(X1),k1_relat_1(X2)) = k2_relat_1(k4_relat_1(k5_relat_1(X1,X2)))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5549,c_0_5550]),c_0_5538]) ).

cnf(c_0_5555,plain,
    ( r1_tarski(k1_relat_1(k7_relat_1(X1,X2)),X2)
    | ~ v1_relat_1(X1) ),
    i_0_5343 ).

cnf(c_0_5556,plain,
    ( k5_relat_1(k7_relat_1(X1,X2),X3) = k7_relat_1(k5_relat_1(X1,X3),X2)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X1) ),
    i_0_2091 ).

cnf(c_0_5557,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_939 ).

cnf(c_0_5558,plain,
    r1_tarski(k1_relat_1(k4_relat_1(esk617_0)),esk615_0),
    inference(spm,[status(thm)],[c_0_5551,c_0_5552]) ).

cnf(c_0_5559,plain,
    ( m2_relset_1(X1,X2,X3)
    | ~ m2_relset_1(X1,X2,X4)
    | ~ r1_tarski(k2_relat_1(X1),X3) ),
    i_0_2476 ).

cnf(c_0_5560,plain,
    ( k2_relat_1(k4_relat_1(k5_relat_1(esk617_0,esk618_0))) != k1_funct_5(k5_relat_1(esk617_0,esk618_0))
    | ~ m1_relset_1(k4_relat_1(esk617_0),esk615_0,esk614_0)
    | ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ r1_tarski(k1_funct_5(k5_relat_1(esk617_0,esk618_0)),k1_funct_5(esk617_0))
    | ~ r1_tarski(esk618_0,k2_zfmisc_1(esk615_0,esk616_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5553,c_0_5554]),c_0_5541]),c_0_5546])]) ).

cnf(c_0_5561,plain,
    ( r1_tarski(k1_relat_1(k5_relat_1(k7_relat_1(X1,X2),X3)),X2)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5555,c_0_5556]),c_0_5557]) ).

cnf(c_0_5562,plain,
    ( k7_relat_1(X1,X2) = X1
    | ~ v1_relat_1(X1)
    | ~ r1_tarski(k1_relat_1(X1),X2) ),
    i_0_5472 ).

cnf(c_0_5563,plain,
    ( m2_relset_1(k4_relat_1(esk617_0),esk615_0,X1)
    | ~ m2_relset_1(k4_relat_1(esk617_0),X2,X1) ),
    inference(spm,[status(thm)],[c_0_5516,c_0_5558]) ).

cnf(c_0_5564,plain,
    ( m2_relset_1(k4_relat_1(X1),X2,X3)
    | ~ m1_relset_1(X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_5525,c_0_5521]) ).

cnf(c_0_5565,plain,
    ( m2_relset_1(X1,X2,k3_relat_1(X1))
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5559,c_0_5536]),c_0_5531]) ).

cnf(c_0_5566,plain,
    ( ~ m1_relset_1(k4_relat_1(esk617_0),esk615_0,esk614_0)
    | ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ v1_relat_1(k5_relat_1(esk617_0,esk618_0))
    | ~ r1_tarski(k1_relat_1(k5_relat_1(esk617_0,esk618_0)),k1_funct_5(esk617_0))
    | ~ r1_tarski(esk618_0,k2_zfmisc_1(esk615_0,esk616_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5560,c_0_5540]),c_0_5537]) ).

cnf(c_0_5567,plain,
    ( r1_tarski(k1_relat_1(k5_relat_1(X1,X2)),X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1)
    | ~ r1_tarski(k1_relat_1(X1),X3) ),
    inference(spm,[status(thm)],[c_0_5561,c_0_5562]) ).

cnf(c_0_5568,plain,
    ( m2_relset_1(k4_relat_1(esk617_0),esk615_0,X1)
    | ~ m1_relset_1(esk617_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_5563,c_0_5564]) ).

cnf(c_0_5569,negated_conjecture,
    m2_relset_1(esk617_0,esk614_0,k3_relat_1(esk617_0)),
    inference(spm,[status(thm)],[c_0_5565,c_0_5508]) ).

cnf(c_0_5570,plain,
    ( ~ m1_relset_1(k4_relat_1(esk617_0),esk615_0,esk614_0)
    | ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ v1_relat_1(k5_relat_1(esk617_0,esk618_0))
    | ~ r1_tarski(esk618_0,k2_zfmisc_1(esk615_0,esk616_0))
    | ~ r1_tarski(k1_relat_1(esk617_0),k1_funct_5(esk617_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5566,c_0_5567]),c_0_5541]),c_0_5546])]) ).

cnf(c_0_5571,plain,
    ( m2_relset_1(k4_relat_1(esk617_0),esk615_0,X1)
    | ~ m2_relset_1(esk617_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_5568,c_0_5524]) ).

cnf(c_0_5572,plain,
    ( m2_relset_1(X1,esk614_0,k3_relat_1(esk617_0))
    | ~ r1_tarski(X1,esk617_0) ),
    inference(spm,[status(thm)],[c_0_5518,c_0_5569]) ).

cnf(c_0_5573,plain,
    ( ~ m1_relset_1(k4_relat_1(esk617_0),esk615_0,esk614_0)
    | ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ v1_relat_1(k5_relat_1(esk617_0,esk618_0))
    | ~ r1_tarski(esk618_0,k2_zfmisc_1(esk615_0,esk616_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5570,c_0_5540]),c_0_5517]),c_0_5546])]) ).

cnf(c_0_5574,plain,
    m2_relset_1(k4_relat_1(esk617_0),esk615_0,esk614_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5571,c_0_5572]),c_0_5528])]) ).

cnf(c_0_5575,plain,
    ( r1_tarski(X1,X2)
    | ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
    i_0_3979 ).

cnf(c_0_5576,plain,
    ( ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ v1_relat_1(k5_relat_1(esk617_0,esk618_0))
    | ~ r1_tarski(esk618_0,k2_zfmisc_1(esk615_0,esk616_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5573,c_0_5524]),c_0_5574])]) ).

cnf(c_0_5577,plain,
    ( r1_tarski(X1,k2_zfmisc_1(X2,X3))
    | ~ m2_relset_1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_5575,c_0_5512]) ).

cnf(c_0_5578,plain,
    ( ~ m1_relset_1(esk617_0,esk614_0,esk615_0)
    | ~ v1_relat_1(k5_relat_1(esk617_0,esk618_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5576,c_0_5577]),c_0_5532])]) ).

cnf(c_0_5579,plain,
    ~ m1_relset_1(esk617_0,esk614_0,esk615_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5578,c_0_5557]),c_0_5541]),c_0_5546])]) ).

cnf(c_0_5580,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5579,c_0_5524]),c_0_5508])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU440+3 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.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 : Mon Jun 20 11:06:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.92/1.12  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.92/1.12  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.92/1.12  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.92/1.12  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 232.66/33.10  # ENIGMATIC: Solved by autoschedule-lgb:
% 232.66/33.10  # No SInE strategy applied
% 232.66/33.10  # Trying AutoSched0 for 149 seconds
% 232.66/33.10  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 232.66/33.10  # and selection function SelectComplexExceptUniqMaxHorn.
% 232.66/33.10  #
% 232.66/33.10  # Preprocessing time       : 0.026 s
% 232.66/33.10  # Presaturation interreduction done
% 232.66/33.10  
% 232.66/33.10  # Proof found!
% 232.66/33.10  # SZS status Theorem
% 232.66/33.10  # SZS output start CNFRefutation
% See solution above
% 232.66/33.10  # Training examples: 0 positive, 0 negative
% 232.66/33.10  
% 232.66/33.10  # -------------------------------------------------
% 232.66/33.10  # User time                : 27.336 s
% 232.66/33.10  # System time              : 0.502 s
% 232.66/33.10  # Total time               : 27.838 s
% 232.66/33.10  # Maximum resident set size: 7124 pages
% 232.66/33.10  
%------------------------------------------------------------------------------