TSTP Solution File: SWC295+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC295+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 20:14:48 EDT 2022

% Result   : Theorem 10.54s 2.75s
% Output   : CNFRefutation 10.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   51
% Syntax   : Number of clauses     :  196 (  42 unt;  65 nHn; 196 RR)
%            Number of literals    :  551 ( 196 equ; 296 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-2 aty)
%            Number of variables   :  206 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_204,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_204) ).

cnf(i_0_208,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_208) ).

cnf(i_0_155,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_155) ).

cnf(i_0_205,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_205) ).

cnf(i_0_206,negated_conjecture,
    ssList(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_206) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_43) ).

cnf(i_0_207,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_207) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_44) ).

cnf(i_0_113,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_113) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_58) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_154) ).

cnf(i_0_213,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_213) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_147) ).

cnf(i_0_160,plain,
    ( nil = X1
    | hd(app(X1,X2)) = hd(X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_160) ).

cnf(i_0_157,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_157) ).

cnf(i_0_114,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_114) ).

cnf(i_0_115,plain,
    ( ssList(esk32_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_115) ).

cnf(i_0_57,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_57) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk56_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_195) ).

cnf(i_0_197,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk56_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_197) ).

cnf(i_0_98,plain,
    ( singletonP(X1)
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_98) ).

cnf(i_0_55,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_55) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_53) ).

cnf(i_0_99,plain,
    ( cons(esk31_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_99) ).

cnf(i_0_100,plain,
    ( ssItem(esk31_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_100) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_54) ).

cnf(i_0_81,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_81) ).

cnf(i_0_78,plain,
    ( X1 = X2
    | memberP(X3,X2)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(cons(X1,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_78) ).

cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_79) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_56) ).

cnf(i_0_47,plain,
    ( X1 = X2
    | cons(X1,X3) != cons(X2,X4)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_47) ).

cnf(i_0_130,plain,
    ( rearsegP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_130) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_60) ).

cnf(i_0_25,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_25) ).

cnf(i_0_40,plain,
    ( X1 = X2
    | app(X3,cons(X1,cons(X2,X4))) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X5)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ equalelemsP(X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_40) ).

cnf(i_0_148,plain,
    ( X1 = X2
    | app(X1,X3) != app(X2,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_148) ).

cnf(i_0_50,plain,
    ( nil = X1
    | cons(esk26_1(X1),esk25_1(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_50) ).

cnf(i_0_52,plain,
    ( nil = X1
    | ssList(esk25_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_52) ).

cnf(i_0_51,plain,
    ( nil = X1
    | ssItem(esk26_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_51) ).

cnf(i_0_131,plain,
    ( app(esk33_2(X1,X2),X2) = X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_131) ).

cnf(i_0_132,plain,
    ( ssList(esk33_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_132) ).

cnf(i_0_101,plain,
    ( rearsegP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ rearsegP(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_101) ).

cnf(i_0_102,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_102) ).

cnf(i_0_128,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_128) ).

cnf(i_0_158,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_158) ).

cnf(i_0_140,plain,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_140) ).

cnf(i_0_96,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X2,X1)
    | ~ rearsegP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_96) ).

cnf(i_0_159,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_159) ).

cnf(i_0_174,plain,
    ( ~ ssItem(X1)
    | ~ lt(X1,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_174) ).

cnf(i_0_202,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_202) ).

cnf(i_0_203,negated_conjecture,
    ssItem(esk55_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-dkqemqsl/lgb.p',i_0_203) ).

cnf(c_0_265,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    i_0_204 ).

cnf(c_0_266,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_208 ).

cnf(c_0_267,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_268,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_269,negated_conjecture,
    ssList(esk54_0),
    i_0_205 ).

cnf(c_0_270,negated_conjecture,
    ssList(esk53_0),
    i_0_206 ).

cnf(c_0_271,negated_conjecture,
    ( app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]),c_0_270])]) ).

cnf(c_0_272,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_273,negated_conjecture,
    ssItem(esk52_0),
    i_0_207 ).

cnf(c_0_274,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_275,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_113 ).

cnf(c_0_276,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_277,plain,
    app(esk53_0,app(cons(esk52_0,nil),esk54_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_273]),c_0_274])]) ).

cnf(c_0_278,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_279,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_275]),c_0_276]) ).

cnf(c_0_280,plain,
    app(esk53_0,cons(esk52_0,esk54_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_273]),c_0_269])]) ).

cnf(c_0_281,plain,
    ( frontsegP(esk50_0,esk53_0)
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_270])]) ).

cnf(c_0_282,negated_conjecture,
    ssList(esk48_0),
    i_0_213 ).

cnf(c_0_283,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_284,plain,
    ( nil = X1
    | hd(app(X1,X2)) = hd(X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_160 ).

cnf(c_0_285,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_157 ).

cnf(c_0_286,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    i_0_114 ).

cnf(c_0_287,plain,
    frontsegP(esk50_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_272]),c_0_273]),c_0_269])]) ).

cnf(c_0_288,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_282,c_0_266]) ).

cnf(c_0_289,plain,
    ( ssList(esk32_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    i_0_115 ).

cnf(c_0_290,plain,
    ( cons(hd(X1),tl(app(X1,X2))) = app(X1,X2)
    | nil = X1
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_276]),c_0_285]) ).

cnf(c_0_291,plain,
    app(esk53_0,esk32_2(esk50_0,esk53_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]),c_0_270])]) ).

cnf(c_0_292,plain,
    ssList(esk32_2(esk50_0,esk53_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_287]),c_0_270]),c_0_288])]) ).

cnf(c_0_293,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_57 ).

cnf(c_0_294,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk56_0,nil) = esk50_0 ),
    i_0_195 ).

cnf(c_0_295,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk56_0) ),
    i_0_197 ).

cnf(c_0_296,plain,
    ( singletonP(X1)
    | cons(X2,nil) != X1
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_98 ).

cnf(c_0_297,plain,
    ( cons(hd(esk53_0),tl(esk50_0)) = esk50_0
    | esk53_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]),c_0_270])]) ).

cnf(c_0_298,negated_conjecture,
    ( tl(esk50_0) = nil
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_274])]),c_0_295]) ).

cnf(c_0_299,plain,
    ( esk53_0 = nil
    | esk50_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_291]),c_0_292]),c_0_270])]) ).

cnf(c_0_300,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil)) ),
    inference(er,[status(thm)],[c_0_296]) ).

cnf(c_0_301,plain,
    ( hd(esk53_0) = hd(esk50_0)
    | esk53_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_291]),c_0_292]),c_0_270])]) ).

cnf(c_0_302,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_55 ).

cnf(c_0_303,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_304,negated_conjecture,
    ( cons(hd(esk53_0),nil) = esk50_0
    | esk53_0 = nil ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]) ).

cnf(c_0_305,plain,
    ( singletonP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_272]),c_0_274])]) ).

cnf(c_0_306,plain,
    ( cons(hd(esk50_0),tl(esk53_0)) = esk53_0
    | esk53_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_301]),c_0_270])]) ).

cnf(c_0_307,negated_conjecture,
    ( hd(esk50_0) = esk56_0
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_294]),c_0_274])]),c_0_295]) ).

cnf(c_0_308,plain,
    ( cons(X1,tl(cons(X1,X2))) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_302]),c_0_272]),c_0_303]) ).

cnf(c_0_309,plain,
    ( cons(esk31_1(X1),nil) = X1
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    i_0_99 ).

cnf(c_0_310,plain,
    ( ssItem(esk31_1(X1))
    | ~ ssList(X1)
    | ~ singletonP(X1) ),
    i_0_100 ).

cnf(c_0_311,plain,
    ( tl(esk50_0) = nil
    | esk53_0 = nil
    | ~ ssItem(hd(esk53_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_304]),c_0_274])]) ).

cnf(c_0_312,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_313,plain,
    ( esk53_0 = nil
    | singletonP(esk50_0)
    | ~ ssItem(hd(esk53_0)) ),
    inference(spm,[status(thm)],[c_0_305,c_0_304]) ).

cnf(c_0_314,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    i_0_81 ).

cnf(c_0_315,negated_conjecture,
    ( cons(esk56_0,tl(esk53_0)) = esk53_0
    | esk53_0 = nil ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_299]) ).

cnf(c_0_316,plain,
    ( cons(esk31_1(X1),tl(X1)) = X1
    | ~ singletonP(X1)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_274])]),c_0_310]) ).

cnf(c_0_317,plain,
    ( tl(esk50_0) = nil
    | esk53_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_270])]) ).

cnf(c_0_318,plain,
    ( esk53_0 = nil
    | singletonP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_312]),c_0_270])]) ).

cnf(c_0_319,plain,
    ( X1 = X2
    | memberP(X3,X2)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(cons(X1,X3),X2) ),
    i_0_78 ).

cnf(c_0_320,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_321,plain,
    ( memberP(app(X1,cons(X2,X3)),X2)
    | ~ ssItem(X2)
    | ~ ssList(app(X1,cons(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_314]) ).

cnf(c_0_322,plain,
    ( hd(esk53_0) = esk56_0
    | esk53_0 = nil
    | ~ ssItem(esk56_0)
    | ~ ssList(tl(esk53_0)) ),
    inference(spm,[status(thm)],[c_0_302,c_0_315]) ).

cnf(c_0_323,plain,
    ( cons(esk31_1(esk50_0),nil) = esk50_0
    | esk53_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_288])]),c_0_318]) ).

cnf(c_0_324,plain,
    ( esk31_1(X1) = X2
    | ~ singletonP(X1)
    | ~ memberP(X1,X2)
    | ~ ssItem(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_309]),c_0_274])]),c_0_310]),c_0_320]) ).

cnf(c_0_325,plain,
    memberP(esk50_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_280]),c_0_273]),c_0_288]),c_0_269]),c_0_270])]) ).

cnf(c_0_326,negated_conjecture,
    ( hd(esk53_0) = esk56_0
    | esk53_0 = nil
    | ~ ssList(tl(esk53_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_295]),c_0_299]) ).

cnf(c_0_327,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_328,plain,
    ( esk31_1(esk50_0) = hd(esk50_0)
    | esk53_0 = nil
    | ~ ssItem(esk31_1(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_323]),c_0_274])]) ).

cnf(c_0_329,plain,
    ( esk31_1(esk50_0) = esk52_0
    | ~ singletonP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_273]),c_0_288])]) ).

cnf(c_0_330,plain,
    ( hd(esk53_0) = esk56_0
    | esk53_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_270])]) ).

cnf(c_0_331,plain,
    ( esk31_1(esk50_0) = hd(esk50_0)
    | esk53_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_310]),c_0_288])]),c_0_318]) ).

cnf(c_0_332,plain,
    ( esk31_1(esk50_0) = esk52_0
    | esk53_0 = nil ),
    inference(spm,[status(thm)],[c_0_329,c_0_318]) ).

cnf(c_0_333,plain,
    ( hd(esk50_0) = esk56_0
    | esk53_0 = nil ),
    inference(spm,[status(thm)],[c_0_301,c_0_330]) ).

cnf(c_0_334,plain,
    ( hd(esk50_0) = esk52_0
    | esk53_0 = nil ),
    inference(spm,[status(thm)],[c_0_331,c_0_332]) ).

cnf(c_0_335,plain,
    ( X1 = X2
    | cons(X1,X3) != cons(X2,X4)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_47 ).

cnf(c_0_336,negated_conjecture,
    ( esk50_0 = nil
    | singletonP(esk50_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_294]),c_0_288])]),c_0_295]) ).

cnf(c_0_337,plain,
    ( esk53_0 = nil
    | esk52_0 = esk56_0 ),
    inference(spm,[status(thm)],[c_0_333,c_0_334]) ).

cnf(c_0_338,negated_conjecture,
    ( esk50_0 = nil
    | X1 = esk56_0
    | cons(X1,X2) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_294]),c_0_274])]),c_0_295]) ).

cnf(c_0_339,negated_conjecture,
    ( cons(esk31_1(esk50_0),nil) = esk50_0
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_298]),c_0_288])]),c_0_336]) ).

cnf(c_0_340,plain,
    ( rearsegP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_130 ).

cnf(c_0_341,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_342,plain,
    ( app(nil,cons(esk52_0,esk54_0)) = esk50_0
    | esk52_0 = esk56_0 ),
    inference(spm,[status(thm)],[c_0_280,c_0_337]) ).

cnf(c_0_343,negated_conjecture,
    ( esk31_1(esk50_0) = esk56_0
    | esk50_0 = nil
    | ~ ssItem(esk31_1(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_274])]) ).

cnf(c_0_344,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_340]),c_0_276]) ).

cnf(c_0_345,plain,
    ( cons(esk52_0,esk54_0) = esk50_0
    | esk52_0 = esk56_0
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(spm,[status(thm)],[c_0_341,c_0_342]) ).

cnf(c_0_346,plain,
    ( esk31_1(esk50_0) = esk56_0
    | esk50_0 = nil ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_310]),c_0_288])]),c_0_336]) ).

cnf(c_0_347,negated_conjecture,
    ( esk31_1(esk50_0) = esk52_0
    | esk50_0 = nil ),
    inference(spm,[status(thm)],[c_0_329,c_0_336]) ).

cnf(c_0_348,negated_conjecture,
    ( rearsegP(esk50_0,esk54_0)
    | ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_267]),c_0_269])]) ).

cnf(c_0_349,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    i_0_25 ).

cnf(c_0_350,plain,
    ( cons(esk52_0,esk54_0) = esk50_0
    | esk52_0 = esk56_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_272]),c_0_273]),c_0_269])]) ).

cnf(c_0_351,plain,
    ( esk50_0 = nil
    | esk52_0 = esk56_0 ),
    inference(spm,[status(thm)],[c_0_346,c_0_347]) ).

cnf(c_0_352,plain,
    ( rearsegP(esk50_0,esk54_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_276]),c_0_270])]) ).

cnf(c_0_353,plain,
    ( X1 = X2
    | app(X3,cons(X1,cons(X2,X4))) != X5
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X5)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ equalelemsP(X5) ),
    i_0_40 ).

cnf(c_0_354,plain,
    ( X1 = X2
    | app(X1,X3) != app(X2,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    i_0_148 ).

cnf(c_0_355,plain,
    ( lt(X1,X2)
    | ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(er,[status(thm)],[c_0_349]) ).

cnf(c_0_356,plain,
    ( nil = X1
    | cons(esk26_1(X1),esk25_1(X1)) = X1
    | ~ ssList(X1) ),
    i_0_50 ).

cnf(c_0_357,plain,
    ( nil = X1
    | ssList(esk25_1(X1))
    | ~ ssList(X1) ),
    i_0_52 ).

cnf(c_0_358,plain,
    ( nil = X1
    | ssItem(esk26_1(X1))
    | ~ ssList(X1) ),
    i_0_51 ).

cnf(c_0_359,plain,
    esk52_0 = esk56_0,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_350]),c_0_273]),c_0_269])]),c_0_351]) ).

cnf(c_0_360,plain,
    ( app(esk33_2(X1,X2),X2) = X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    i_0_131 ).

cnf(c_0_361,plain,
    rearsegP(esk50_0,esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_272]),c_0_273]),c_0_274])]) ).

cnf(c_0_362,plain,
    ( ssList(esk33_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    i_0_132 ).

cnf(c_0_363,plain,
    ( X1 = X2
    | ~ equalelemsP(app(X3,cons(X1,cons(X2,X4))))
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(X3,cons(X1,cons(X2,X4))))
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(er,[status(thm)],[c_0_353]) ).

cnf(c_0_364,plain,
    ( rearsegP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ rearsegP(X2,X3) ),
    i_0_101 ).

cnf(c_0_365,plain,
    ( rearsegP(X1,nil)
    | ~ ssList(X1) ),
    i_0_102 ).

cnf(c_0_366,plain,
    ( X1 = nil
    | app(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_341]),c_0_274])]) ).

cnf(c_0_367,plain,
    ( nil = X1
    | lt(X2,esk26_1(X1))
    | ~ strictorderedP(app(app(X3,cons(X2,X4)),X1))
    | ~ ssItem(X2)
    | ~ ssList(app(app(X3,cons(X2,X4)),X1))
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]),c_0_358]) ).

cnf(c_0_368,negated_conjecture,
    app(app(esk53_0,cons(esk56_0,nil)),esk54_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_267,c_0_359]) ).

cnf(c_0_369,negated_conjecture,
    ssItem(esk56_0),
    inference(rw,[status(thm)],[c_0_273,c_0_359]) ).

cnf(c_0_370,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_128 ).

cnf(c_0_371,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_158 ).

cnf(c_0_372,plain,
    app(esk33_2(esk50_0,esk54_0),esk54_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_361]),c_0_269]),c_0_288])]) ).

cnf(c_0_373,plain,
    ssList(esk33_2(esk50_0,esk54_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_361]),c_0_269]),c_0_288])]) ).

cnf(c_0_374,plain,
    ( X1 = esk26_1(X2)
    | nil = X2
    | ~ equalelemsP(app(X3,cons(X1,X2)))
    | ~ ssItem(X1)
    | ~ ssList(app(X3,cons(X1,X2)))
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_363,c_0_356]),c_0_357]),c_0_358]) ).

cnf(c_0_375,plain,
    app(esk53_0,cons(esk56_0,esk54_0)) = esk50_0,
    inference(rw,[status(thm)],[c_0_280,c_0_359]) ).

cnf(c_0_376,plain,
    ( equalelemsP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_140 ).

cnf(c_0_377,plain,
    ( rearsegP(app(X1,X2),nil)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_274])]) ).

cnf(c_0_378,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X2,X1)
    | ~ rearsegP(X1,X2) ),
    i_0_96 ).

cnf(c_0_379,plain,
    ( cons(esk52_0,nil) = esk50_0
    | esk53_0 = nil ),
    inference(spm,[status(thm)],[c_0_323,c_0_332]) ).

cnf(c_0_380,plain,
    ( esk53_0 = nil
    | app(cons(esk52_0,nil),esk54_0) != esk50_0
    | ~ ssList(app(cons(esk52_0,nil),esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_277]),c_0_270])]) ).

cnf(c_0_381,negated_conjecture,
    ( esk54_0 = nil
    | lt(esk56_0,esk26_1(esk54_0))
    | ~ strictorderedP(esk50_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(spm,[status(thm)],[c_0_367,c_0_368]),c_0_369]),c_0_288]),c_0_274]),c_0_270]),c_0_269])]) ).

cnf(c_0_382,negated_conjecture,
    ( esk50_0 = nil
    | strictorderedP(esk50_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_294]),c_0_295]) ).

cnf(c_0_383,plain,
    ( esk54_0 = nil
    | esk50_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_373]),c_0_269])]) ).

cnf(c_0_384,plain,
    ( esk26_1(esk54_0) = esk56_0
    | esk54_0 = nil
    | ~ equalelemsP(esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_369]),c_0_288]),c_0_270]),c_0_269])]) ).

cnf(c_0_385,negated_conjecture,
    ( esk50_0 = nil
    | equalelemsP(esk50_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_294]),c_0_295]) ).

cnf(c_0_386,plain,
    rearsegP(esk50_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_372]),c_0_269]),c_0_373])]) ).

cnf(c_0_387,plain,
    ( app(X1,X2) = X2
    | ~ rearsegP(X2,app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_344]),c_0_276]) ).

cnf(c_0_388,plain,
    ( app(esk53_0,app(esk50_0,esk54_0)) = esk50_0
    | esk53_0 = nil ),
    inference(spm,[status(thm)],[c_0_277,c_0_379]) ).

cnf(c_0_389,plain,
    ( esk53_0 = nil
    | app(esk50_0,esk54_0) != esk50_0
    | ~ ssList(app(esk50_0,esk54_0)) ),
    inference(spm,[status(thm)],[c_0_380,c_0_379]) ).

cnf(c_0_390,negated_conjecture,
    ( esk54_0 = nil
    | lt(esk56_0,esk26_1(esk54_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_383]) ).

cnf(c_0_391,negated_conjecture,
    ( esk26_1(esk54_0) = esk56_0
    | esk54_0 = nil ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_383]) ).

cnf(c_0_392,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    i_0_159 ).

cnf(c_0_393,plain,
    app(esk33_2(esk50_0,nil),nil) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_386]),c_0_274]),c_0_288])]) ).

cnf(c_0_394,plain,
    ssList(esk33_2(esk50_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_386]),c_0_274]),c_0_288])]) ).

cnf(c_0_395,plain,
    ( app(nil,app(X1,X2)) = app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_341]),c_0_274])]) ).

cnf(c_0_396,plain,
    ( esk53_0 = nil
    | ~ rearsegP(app(esk50_0,esk54_0),esk50_0)
    | ~ ssList(app(esk50_0,esk54_0)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_270])]),c_0_389]) ).

cnf(c_0_397,plain,
    ( ~ ssItem(X1)
    | ~ lt(X1,X1) ),
    i_0_174 ).

cnf(c_0_398,negated_conjecture,
    ( esk54_0 = nil
    | lt(esk56_0,esk56_0) ),
    inference(spm,[status(thm)],[c_0_390,c_0_391]) ).

cnf(c_0_399,plain,
    esk33_2(esk50_0,nil) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_394])]) ).

cnf(c_0_400,plain,
    app(nil,esk50_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_372]),c_0_269]),c_0_373])]) ).

cnf(c_0_401,plain,
    ( esk53_0 = nil
    | ~ rearsegP(app(esk50_0,esk54_0),esk50_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_276]),c_0_269]),c_0_288])]) ).

cnf(c_0_402,plain,
    esk54_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_398]),c_0_369])]) ).

cnf(c_0_403,plain,
    app(esk50_0,nil) = esk50_0,
    inference(rw,[status(thm)],[c_0_393,c_0_399]) ).

cnf(c_0_404,plain,
    rearsegP(esk50_0,esk50_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_400]),c_0_274]),c_0_288])]) ).

cnf(c_0_405,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    i_0_202 ).

cnf(c_0_406,plain,
    esk53_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_402]),c_0_403]),c_0_404])]) ).

cnf(c_0_407,negated_conjecture,
    memberP(nil,esk55_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_402]),c_0_406])]) ).

cnf(c_0_408,negated_conjecture,
    ssItem(esk55_0),
    i_0_203 ).

cnf(c_0_409,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_407]),c_0_408])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SWC295+1 : TPTP v8.1.0. Released v2.4.0.
% 0.14/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 12 14:34:58 EDT 2022
% 0.21/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 0.21/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.54/2.75  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.54/2.75  # No SInE strategy applied
% 10.54/2.75  # Trying AutoSched0 for 150 seconds
% 10.54/2.75  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 10.54/2.75  # and selection function SelectNewComplexAHP.
% 10.54/2.75  #
% 10.54/2.75  # Preprocessing time       : 0.028 s
% 10.54/2.75  # Presaturation interreduction done
% 10.54/2.75  
% 10.54/2.75  # Proof found!
% 10.54/2.75  # SZS status Theorem
% 10.54/2.75  # SZS output start CNFRefutation
% See solution above
% 10.54/2.75  # Training examples: 0 positive, 0 negative
% 10.54/2.75  
% 10.54/2.75  # -------------------------------------------------
% 10.54/2.75  # User time                : 0.323 s
% 10.54/2.75  # System time              : 0.013 s
% 10.54/2.75  # Total time               : 0.336 s
% 10.54/2.75  # Maximum resident set size: 7124 pages
% 10.54/2.75  
%------------------------------------------------------------------------------