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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEU418+1 : 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 08:42:09 EDT 2022

% Result   : Theorem 21.00s 3.91s
% Output   : CNFRefutation 21.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   60 (  12 unt;   6 nHn;  54 RR)
%            Number of literals    :  275 (  45 equ; 213 neg)
%            Maximal clause size   :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-5 aty)
%            Number of variables   :  216 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_25,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
    | X3 != k5_relat_1(X4,X5)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X4)
    | ~ r2_hidden(k2_tarski(k2_tarski(X6,X2),k1_tarski(X6)),X5)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X6),k1_tarski(X1)),X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_25) ).

cnf(i_0_7,plain,
    k2_tarski(X1,X2) = k2_tarski(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_7) ).

cnf(i_0_26,plain,
    ( r2_hidden(k2_tarski(k2_tarski(esk9_5(X1,X2,X3,X4,X5),X5),k1_tarski(esk9_5(X1,X2,X3,X4,X5))),X2)
    | X3 != k5_relat_1(X1,X2)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1)
    | ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k1_tarski(X4)),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_26) ).

cnf(i_0_19,plain,
    ( r2_hidden(X1,X2)
    | X3 != k3_xboole_0(X4,X2)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_19) ).

cnf(i_0_27,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,esk9_5(X2,X3,X4,X1,X5)),k1_tarski(X1)),X2)
    | X4 != k5_relat_1(X2,X3)
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X5),k1_tarski(X1)),X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_27) ).

cnf(i_0_20,plain,
    ( r2_hidden(X1,X2)
    | X3 != k3_xboole_0(X2,X4)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_20) ).

cnf(i_0_11,plain,
    ( k2_tarski(k2_tarski(esk4_2(X1,X2),esk5_2(X1,X2)),k1_tarski(esk4_2(X1,X2))) = X2
    | ~ v1_relat_1(X1)
    | ~ r2_hidden(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_11) ).

cnf(i_0_34,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_34) ).

cnf(i_0_18,plain,
    ( r2_hidden(X1,X2)
    | X2 != k3_xboole_0(X3,X4)
    | ~ r2_hidden(X1,X4)
    | ~ r2_hidden(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_18) ).

cnf(i_0_13,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk7_2(X1,X2),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_13) ).

cnf(i_0_12,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk7_2(X1,X2),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_12) ).

cnf(i_0_42,plain,
    ( v1_relat_1(k3_xboole_0(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_42) ).

cnf(i_0_1,negated_conjecture,
    ~ r1_tarski(k5_relat_1(k3_xboole_0(esk1_0,esk2_0),esk3_0),k3_xboole_0(k5_relat_1(esk1_0,esk3_0),k5_relat_1(esk2_0,esk3_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    v1_relat_1(esk3_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_2) ).

cnf(i_0_3,negated_conjecture,
    v1_relat_1(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_3) ).

cnf(i_0_4,negated_conjecture,
    v1_relat_1(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-r02i4f3i/input.p',i_0_4) ).

cnf(c_0_59,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
    | X3 != k5_relat_1(X4,X5)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X4)
    | ~ r2_hidden(k2_tarski(k2_tarski(X6,X2),k1_tarski(X6)),X5)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X6),k1_tarski(X1)),X4) ),
    i_0_25 ).

cnf(c_0_60,plain,
    k2_tarski(X1,X2) = k2_tarski(X2,X1),
    i_0_7 ).

cnf(c_0_61,plain,
    ( r2_hidden(k2_tarski(k2_tarski(esk9_5(X1,X2,X3,X4,X5),X5),k1_tarski(esk9_5(X1,X2,X3,X4,X5))),X2)
    | X3 != k5_relat_1(X1,X2)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1)
    | ~ r2_hidden(k2_tarski(k2_tarski(X4,X5),k1_tarski(X4)),X3) ),
    i_0_26 ).

cnf(c_0_62,plain,
    ( r2_hidden(X1,X2)
    | X3 != k3_xboole_0(X4,X2)
    | ~ r2_hidden(X1,X3) ),
    i_0_19 ).

cnf(c_0_63,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,esk9_5(X2,X3,X4,X1,X5)),k1_tarski(X1)),X2)
    | X4 != k5_relat_1(X2,X3)
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X5),k1_tarski(X1)),X4) ),
    i_0_27 ).

cnf(c_0_64,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
    | X3 != k5_relat_1(X4,X5)
    | ~ r2_hidden(k2_tarski(k2_tarski(X2,X6),k1_tarski(X6)),X5)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X6),k1_tarski(X1)),X4)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X3) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_65,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,esk9_5(X2,X3,X4,X5,X1)),k1_tarski(esk9_5(X2,X3,X4,X5,X1))),X3)
    | X4 != k5_relat_1(X2,X3)
    | ~ r2_hidden(k2_tarski(k2_tarski(X5,X1),k1_tarski(X5)),X4)
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2) ),
    inference(rw,[status(thm)],[c_0_61,c_0_60]) ).

cnf(c_0_66,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(X1,k3_xboole_0(X3,X2)) ),
    inference(er,[status(thm)],[c_0_62]) ).

cnf(c_0_67,plain,
    ( r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,esk9_5(X2,X3,X4,X1,X5))),X2)
    | X4 != k5_relat_1(X2,X3)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X5),k1_tarski(X1)),X4)
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2) ),
    inference(rw,[status(thm)],[c_0_63,c_0_60]) ).

cnf(c_0_68,plain,
    ( r2_hidden(X1,X2)
    | X3 != k3_xboole_0(X2,X4)
    | ~ r2_hidden(X1,X3) ),
    i_0_20 ).

cnf(c_0_69,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
    | X3 != k5_relat_1(X4,X5)
    | X6 != k5_relat_1(X7,X5)
    | ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,esk9_5(X7,X5,X6,X8,X2))),X4)
    | ~ r2_hidden(k2_tarski(k2_tarski(X8,X2),k1_tarski(X8)),X6)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X6)
    | ~ v1_relat_1(X7) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_60]) ).

cnf(c_0_70,plain,
    ( r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,esk9_5(k3_xboole_0(X2,X3),X4,X5,X1,X6))),X3)
    | X5 != k5_relat_1(k3_xboole_0(X2,X3),X4)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X6),k1_tarski(X1)),X5)
    | ~ v1_relat_1(k3_xboole_0(X2,X3))
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X4) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_71,plain,
    ( r2_hidden(X1,X2)
    | ~ r2_hidden(X1,k3_xboole_0(X2,X3)) ),
    inference(er,[status(thm)],[c_0_68]) ).

cnf(c_0_72,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
    | X4 != k5_relat_1(k3_xboole_0(X5,X6),X7)
    | X3 != k5_relat_1(X6,X7)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X4)
    | ~ v1_relat_1(k3_xboole_0(X5,X6))
    | ~ v1_relat_1(X7)
    | ~ v1_relat_1(X6)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X4) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_73,plain,
    ( k2_tarski(k2_tarski(esk4_2(X1,X2),esk5_2(X1,X2)),k1_tarski(esk4_2(X1,X2))) = X2
    | ~ v1_relat_1(X1)
    | ~ r2_hidden(X2,X1) ),
    i_0_11 ).

cnf(c_0_74,plain,
    ( r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,esk9_5(k3_xboole_0(X2,X3),X4,X5,X1,X6))),X2)
    | X5 != k5_relat_1(k3_xboole_0(X2,X3),X4)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X6),k1_tarski(X1)),X5)
    | ~ v1_relat_1(k3_xboole_0(X2,X3))
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X4) ),
    inference(spm,[status(thm)],[c_0_71,c_0_67]) ).

cnf(c_0_75,plain,
    ( r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),X3)
    | X4 != k5_relat_1(k3_xboole_0(X5,X6),X7)
    | X3 != k5_relat_1(X6,X7)
    | ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),X4)
    | ~ v1_relat_1(k3_xboole_0(X5,X6))
    | ~ v1_relat_1(X7)
    | ~ v1_relat_1(X6)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X4) ),
    inference(spm,[status(thm)],[c_0_72,c_0_60]) ).

cnf(c_0_76,plain,
    ( k2_tarski(k1_tarski(esk4_2(X1,X2)),k2_tarski(esk4_2(X1,X2),esk5_2(X1,X2))) = X2
    | ~ r2_hidden(X2,X1)
    | ~ v1_relat_1(X1) ),
    inference(rw,[status(thm)],[c_0_73,c_0_60]) ).

cnf(c_0_77,plain,
    ( r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X3)
    | X4 != k5_relat_1(k3_xboole_0(X5,X6),X7)
    | X3 != k5_relat_1(X5,X7)
    | ~ r2_hidden(k2_tarski(k2_tarski(X1,X2),k1_tarski(X1)),X4)
    | ~ v1_relat_1(k3_xboole_0(X5,X6))
    | ~ v1_relat_1(X7)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X4) ),
    inference(spm,[status(thm)],[c_0_69,c_0_74]) ).

cnf(c_0_78,plain,
    ( r2_hidden(X1,X2)
    | X3 != k5_relat_1(k3_xboole_0(X4,X5),X6)
    | X2 != k5_relat_1(X5,X6)
    | ~ r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X7)
    | ~ v1_relat_1(k3_xboole_0(X4,X5))
    | ~ v1_relat_1(X6)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X7) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_79,plain,
    ( v1_relat_1(k5_relat_1(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_34 ).

cnf(c_0_80,plain,
    ( r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),X3)
    | X4 != k5_relat_1(k3_xboole_0(X5,X6),X7)
    | X3 != k5_relat_1(X5,X7)
    | ~ r2_hidden(k2_tarski(k1_tarski(X1),k2_tarski(X1,X2)),X4)
    | ~ v1_relat_1(k3_xboole_0(X5,X6))
    | ~ v1_relat_1(X7)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X4) ),
    inference(spm,[status(thm)],[c_0_77,c_0_60]) ).

cnf(c_0_81,plain,
    ( r2_hidden(X1,X2)
    | X2 != k3_xboole_0(X3,X4)
    | ~ r2_hidden(X1,X4)
    | ~ r2_hidden(X1,X3) ),
    i_0_18 ).

cnf(c_0_82,plain,
    ( r2_hidden(X1,X2)
    | X2 != k5_relat_1(X3,X4)
    | ~ r2_hidden(X1,k5_relat_1(k3_xboole_0(X5,X3),X4))
    | ~ r2_hidden(X1,X6)
    | ~ v1_relat_1(k3_xboole_0(X5,X3))
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X6) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_78]),c_0_79]) ).

cnf(c_0_83,plain,
    ( r1_tarski(X1,X2)
    | r2_hidden(esk7_2(X1,X2),X1) ),
    i_0_13 ).

cnf(c_0_84,plain,
    ( r2_hidden(X1,X2)
    | X3 != k5_relat_1(k3_xboole_0(X4,X5),X6)
    | X2 != k5_relat_1(X4,X6)
    | ~ r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X7)
    | ~ v1_relat_1(k3_xboole_0(X4,X5))
    | ~ v1_relat_1(X6)
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X7) ),
    inference(spm,[status(thm)],[c_0_80,c_0_76]) ).

cnf(c_0_85,plain,
    ( r1_tarski(X1,X2)
    | ~ r2_hidden(esk7_2(X1,X2),X2) ),
    i_0_12 ).

cnf(c_0_86,plain,
    ( r2_hidden(X1,k3_xboole_0(X2,X3))
    | ~ r2_hidden(X1,X3)
    | ~ r2_hidden(X1,X2) ),
    inference(er,[status(thm)],[c_0_81]) ).

cnf(c_0_87,plain,
    ( r2_hidden(esk7_2(k5_relat_1(k3_xboole_0(X1,X2),X3),X4),X5)
    | r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),X4)
    | X5 != k5_relat_1(X2,X3)
    | ~ r2_hidden(esk7_2(k5_relat_1(k3_xboole_0(X1,X2),X3),X4),X6)
    | ~ v1_relat_1(k3_xboole_0(X1,X2))
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X6) ),
    inference(spm,[status(thm)],[c_0_82,c_0_83]) ).

cnf(c_0_88,plain,
    ( r2_hidden(X1,X2)
    | X2 != k5_relat_1(X3,X4)
    | ~ r2_hidden(X1,k5_relat_1(k3_xboole_0(X3,X5),X4))
    | ~ r2_hidden(X1,X6)
    | ~ v1_relat_1(k3_xboole_0(X3,X5))
    | ~ v1_relat_1(X4)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X6) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_84]),c_0_79]) ).

cnf(c_0_89,plain,
    ( r1_tarski(X1,k3_xboole_0(X2,X3))
    | ~ r2_hidden(esk7_2(X1,k3_xboole_0(X2,X3)),X3)
    | ~ r2_hidden(esk7_2(X1,k3_xboole_0(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_90,plain,
    ( r2_hidden(esk7_2(k5_relat_1(k3_xboole_0(X1,X2),X3),X4),X5)
    | r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),X4)
    | X5 != k5_relat_1(X2,X3)
    | ~ v1_relat_1(k3_xboole_0(X1,X2))
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_83]),c_0_79]) ).

cnf(c_0_91,plain,
    ( r2_hidden(esk7_2(k5_relat_1(k3_xboole_0(X1,X2),X3),X4),X5)
    | r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),X4)
    | X5 != k5_relat_1(X1,X3)
    | ~ r2_hidden(esk7_2(k5_relat_1(k3_xboole_0(X1,X2),X3),X4),X6)
    | ~ v1_relat_1(k3_xboole_0(X1,X2))
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X1)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X6) ),
    inference(spm,[status(thm)],[c_0_88,c_0_83]) ).

cnf(c_0_92,plain,
    ( r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(X4,X5))
    | X5 != k5_relat_1(X2,X3)
    | ~ r2_hidden(esk7_2(k5_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(X4,X5)),X4)
    | ~ v1_relat_1(k3_xboole_0(X1,X2))
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X5) ),
    inference(spm,[status(thm)],[c_0_89,c_0_90]) ).

cnf(c_0_93,plain,
    ( r2_hidden(esk7_2(k5_relat_1(k3_xboole_0(X1,X2),X3),X4),X5)
    | r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),X4)
    | X5 != k5_relat_1(X1,X3)
    | ~ v1_relat_1(k3_xboole_0(X1,X2))
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X1)
    | ~ v1_relat_1(X5) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_83]),c_0_79]) ).

cnf(c_0_94,plain,
    ( v1_relat_1(k3_xboole_0(X1,X2))
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X1) ),
    i_0_42 ).

cnf(c_0_95,negated_conjecture,
    ~ r1_tarski(k5_relat_1(k3_xboole_0(esk1_0,esk2_0),esk3_0),k3_xboole_0(k5_relat_1(esk1_0,esk3_0),k5_relat_1(esk2_0,esk3_0))),
    i_0_1 ).

cnf(c_0_96,plain,
    ( r1_tarski(k5_relat_1(k3_xboole_0(X1,X2),X3),k3_xboole_0(X4,X5))
    | X5 != k5_relat_1(X2,X3)
    | X4 != k5_relat_1(X1,X3)
    | ~ v1_relat_1(X3)
    | ~ v1_relat_1(X2)
    | ~ v1_relat_1(X5)
    | ~ v1_relat_1(X1)
    | ~ v1_relat_1(X4) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).

cnf(c_0_97,negated_conjecture,
    v1_relat_1(esk3_0),
    i_0_2 ).

cnf(c_0_98,negated_conjecture,
    v1_relat_1(esk2_0),
    i_0_3 ).

cnf(c_0_99,negated_conjecture,
    v1_relat_1(esk1_0),
    i_0_4 ).

cnf(c_0_100,negated_conjecture,
    ( ~ v1_relat_1(k5_relat_1(esk2_0,esk3_0))
    | ~ v1_relat_1(k5_relat_1(esk1_0,esk3_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),c_0_98]),c_0_99])]) ).

cnf(c_0_101,plain,
    ~ v1_relat_1(k5_relat_1(esk1_0,esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_79]),c_0_97]),c_0_98])]) ).

cnf(c_0_102,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_79]),c_0_97]),c_0_99])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU418+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n025.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jun 19 02:48:45 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 21.00/3.91  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 21.00/3.91  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 33; version: 991; iters: 150)
% 21.00/3.91  # Preprocessing time       : 1.090 s
% 21.00/3.91  
% 21.00/3.91  # Proof found!
% 21.00/3.91  # SZS status Theorem
% 21.00/3.91  # SZS output start CNFRefutation
% See solution above
% 21.00/3.91  # Training examples: 0 positive, 0 negative
% 21.00/3.91  
% 21.00/3.91  # -------------------------------------------------
% 21.00/3.91  # User time                : 1.456 s
% 21.00/3.91  # System time              : 0.127 s
% 21.00/3.91  # Total time               : 1.583 s
% 21.00/3.91  # ...preprocessing         : 1.090 s
% 21.00/3.91  # ...main loop             : 0.493 s
% 21.00/3.91  # Maximum resident set size: 175440 pages
% 21.00/3.91  
%------------------------------------------------------------------------------