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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWW900+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n026.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 00:03:05 EDT 2022

% Result   : Theorem 228.11s 30.22s
% Output   : CNFRefutation 228.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   35 (  21 unt;   0 nHn;  21 RR)
%            Number of literals    :   55 (  27 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   9 con; 0-3 aty)
%            Number of variables   :   90 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_115,plain,
    ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5))))
    | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X6))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X7)))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X6),s__02(c_27type_2elist_2elist_27__01(X1),X4))),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X2),X7),s__02(c_27type_2elist_2elist_27__01(X2),X5)))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_115) ).

cnf(i_0_114,plain,
    s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))) = s__02(c_27type_2elist_2elist_27__01(X1),X3),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_114) ).

cnf(i_0_118,negated_conjecture,
    p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_118) ).

cnf(i_0_116,plain,
    ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5))))
    | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X5)))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6))),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X2),X5),s__02(c_27type_2elist_2elist_27__01(X2),X7)))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_116) ).

cnf(i_0_59,plain,
    s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X3))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,X3))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_59) ).

cnf(i_0_47,plain,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,X1))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_47) ).

cnf(i_0_112,plain,
    ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X2))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X3),X4)))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X3,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X1),X2),s__02(c_27type_2elist_2elist_27__01(X3),X4)))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_112) ).

cnf(i_0_111,plain,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X3))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_111) ).

cnf(i_0_117,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_117) ).

cnf(i_0_45,plain,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_45) ).

cnf(i_0_113,plain,
    ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))) = s__02(c_27type_2enum_2enum_27__00,X2)
    | ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X3)))))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_113) ).

cnf(i_0_48,plain,
    p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X1)))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-asqikrml/input.p',i_0_48) ).

cnf(c_0_131,plain,
    ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5))))
    | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X6))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X7)))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X6),s__02(c_27type_2elist_2elist_27__01(X1),X4))),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X2),X7),s__02(c_27type_2elist_2elist_27__01(X2),X5)))))) ),
    i_0_115 ).

cnf(c_0_132,plain,
    s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))) = s__02(c_27type_2elist_2elist_27__01(X1),X3),
    i_0_114 ).

cnf(c_0_133,plain,
    ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2elist_2elist_27__01(X2),X6))))))
    | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X7))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2elist_2elist_27__01(X2),X6)))))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X7),s__02(c_27type_2elist_2elist_27__01(X1),X4))),s__02(c_27type_2elist_2elist_27__01(X2),X6)))) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_134,negated_conjecture,
    p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))),
    i_0_118 ).

cnf(c_0_135,plain,
    ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),X5))))
    | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),X5)))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X6))),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X2),X5),s__02(c_27type_2elist_2elist_27__01(X2),X7)))))) ),
    i_0_116 ).

cnf(c_0_136,plain,
    s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X3))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,X3))),
    i_0_59 ).

cnf(c_0_137,plain,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,X1))),
    i_0_47 ).

cnf(c_0_138,plain,
    ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X2))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X3),X4)))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X3,cbool__00)),X5),s__02(c_27type_2elist_2elist_27__01(X1),X2),s__02(c_27type_2elist_2elist_27__01(X3),X4)))) ),
    i_0_112 ).

cnf(c_0_139,plain,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X3))))),
    i_0_111 ).

cnf(c_0_140,negated_conjecture,
    ( ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))))) ),
    i_0_117 ).

cnf(c_0_141,negated_conjecture,
    ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eDROP_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))))
    | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))) ),
    inference(spm,[status(thm)],[c_0_133,c_0_134]) ).

cnf(c_0_142,plain,
    ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2elist_2elist_27__01(X2),X6))))))
    | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X4))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X2),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X5),s__02(c_27type_2elist_2elist_27__01(X2),X6)))))
    | ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(X1,cfun__02(X2,cbool__00)),X3),s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eAPPEND_27__02(s__02(c_27type_2elist_2elist_27__01(X1),X4),s__02(c_27type_2elist_2elist_27__01(X1),X7))),s__02(c_27type_2elist_2elist_27__01(X2),X6)))) ),
    inference(spm,[status(thm)],[c_0_135,c_0_132]) ).

cnf(c_0_143,plain,
    s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,X2))),s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X3),s__02(c_27type_2enum_2enum_27__00,X1))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,X3))),
    inference(spm,[status(thm)],[c_0_136,c_0_137]) ).

cnf(c_0_144,negated_conjecture,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))))) = s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_134]),c_0_139]),c_0_137]) ).

cnf(c_0_145,negated_conjecture,
    ~ p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0)))))),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_138]) ).

cnf(c_0_146,negated_conjecture,
    ( p__01(s__02(cbool__00,c_27const_2elist_2eLIST__REL_27__03(s__02(cfun__02(esk2_0,cfun__02(esk3_0,cbool__00)),esk7_0),s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0),s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))))
    | s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))) ),
    inference(spm,[status(thm)],[c_0_142,c_0_134]) ).

cnf(c_0_147,negated_conjecture,
    s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),s__02(c_27type_2enum_2enum_27__00,X1))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_148,plain,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2earithmetic_2e_2b_27__02(s__02(c_27type_2enum_2enum_27__00,X1),s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00))) = s__02(c_27type_2enum_2enum_27__00,X1),
    i_0_45 ).

cnf(c_0_149,negated_conjecture,
    s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))) != s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_150,plain,
    ( s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),c_27const_2elist_2eTAKE_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2elist_2elist_27__01(X1),X3))))) = s__02(c_27type_2enum_2enum_27__00,X2)
    | ~ p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,X2),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(X1),X3)))))) ),
    i_0_113 ).

cnf(c_0_151,plain,
    s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk4_0))),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk3_0),esk6_0))))) = s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,c_27const_2elist_2eLENGTH_27__01(s__02(c_27type_2elist_2elist_27__01(esk2_0),esk5_0))))),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_152,plain,
    p__01(s__02(cbool__00,c_27const_2earithmetic_2e_3c_3d_27__02(s__02(c_27type_2enum_2enum_27__00,c_27const_2enum_2e0_27__00),s__02(c_27type_2enum_2enum_27__00,X1)))),
    i_0_48 ).

cnf(c_0_153,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]),c_0_152])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWW900+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun  5 11:52:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 228.11/30.22  # ENIGMATIC: Solved by blistrtune0778:
% 228.11/30.22  # SinE strategy is GSinE(CountFormulas,,1.2,,2,500,1.0)
% 228.11/30.22  # Preprocessing time       : 0.012 s
% 228.11/30.22  
% 228.11/30.22  # Proof found!
% 228.11/30.22  # SZS status Theorem
% 228.11/30.22  # SZS output start CNFRefutation
% See solution above
% 228.11/30.22  # Training examples: 0 positive, 0 negative
% 228.11/30.22  
% 228.11/30.22  # -------------------------------------------------
% 228.11/30.22  # User time                : 1.229 s
% 228.11/30.22  # System time              : 0.036 s
% 228.11/30.22  # Total time               : 1.265 s
% 228.11/30.22  # ...preprocessing         : 0.012 s
% 228.11/30.22  # ...main loop             : 1.254 s
% 228.11/30.22  # Maximum resident set size: 55404 pages
% 228.11/30.22  
%------------------------------------------------------------------------------