TSTP Solution File: SWC063+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC063+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 20:13:22 EDT 2022

% Result   : Theorem 8.42s 2.45s
% Output   : CNFRefutation 8.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   32
% Syntax   : Number of clauses     :  104 (  24 unt;   6 nHn; 104 RR)
%            Number of literals    :  280 (  80 equ; 184 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   96 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_191,negated_conjecture,
    ( nil != esk48_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_191) ).

cnf(i_0_201,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_201) ).

cnf(i_0_192,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_192) ).

cnf(i_0_204,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_204) ).

cnf(i_0_199,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_199) ).

cnf(i_0_200,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_200) ).

cnf(i_0_107,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_107) ).

cnf(i_0_194,negated_conjecture,
    ( nil = esk49_0
    | neq(esk49_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_194) ).

cnf(i_0_110,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_110) ).

cnf(i_0_196,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_196) ).

cnf(i_0_197,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_198) ).

cnf(i_0_59,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_59) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_44) ).

cnf(i_0_193,negated_conjecture,
    ( nil = esk49_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_193) ).

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-qbdey35j/input.p',i_0_154) ).

cnf(i_0_195,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_195) ).

cnf(i_0_156,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_156) ).

cnf(i_0_149,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_149) ).

cnf(i_0_159,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_159) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_58) ).

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-qbdey35j/input.p',i_0_130) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_41) ).

cnf(i_0_203,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_203) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_53) ).

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-qbdey35j/input.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-qbdey35j/input.p',i_0_132) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_60) ).

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-qbdey35j/input.p',i_0_113) ).

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-qbdey35j/input.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-qbdey35j/input.p',i_0_115) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qbdey35j/input.p',i_0_43) ).

cnf(c_0_237,negated_conjecture,
    ( nil != esk48_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_191 ).

cnf(c_0_238,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_201 ).

cnf(c_0_239,negated_conjecture,
    ( neq(esk49_0,nil)
    | nil != esk48_0 ),
    i_0_192 ).

cnf(c_0_240,negated_conjecture,
    ssList(esk49_0),
    i_0_204 ).

cnf(c_0_241,negated_conjecture,
    ( esk48_0 != nil
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_242,negated_conjecture,
    ( neq(esk51_0,nil)
    | esk48_0 != nil ),
    inference(rw,[status(thm)],[c_0_239,c_0_238]) ).

cnf(c_0_243,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_240,c_0_238]) ).

cnf(c_0_244,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_199 ).

cnf(c_0_245,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_200 ).

cnf(c_0_246,negated_conjecture,
    ( esk48_0 != nil
    | ~ segmentP(esk48_0,esk51_0)
    | ~ segmentP(esk51_0,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243])]) ).

cnf(c_0_247,negated_conjecture,
    ( esk48_0 = nil
    | esk51_0 != nil ),
    inference(rw,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_248,negated_conjecture,
    ( esk51_0 != nil
    | ~ segmentP(nil,esk51_0)
    | ~ segmentP(esk51_0,esk51_0) ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_249,plain,
    ( segmentP(X1,X1)
    | ~ ssList(X1) ),
    i_0_107 ).

cnf(c_0_250,negated_conjecture,
    ( nil = esk49_0
    | neq(esk49_0,nil) ),
    i_0_194 ).

cnf(c_0_251,plain,
    ( esk51_0 != nil
    | ~ segmentP(nil,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_243])]) ).

cnf(c_0_252,plain,
    ( segmentP(nil,X1)
    | nil != X1
    | ~ ssList(X1) ),
    i_0_110 ).

cnf(c_0_253,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_196 ).

cnf(c_0_254,negated_conjecture,
    ( esk51_0 = nil
    | neq(esk51_0,nil) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_238]),c_0_238]) ).

cnf(c_0_255,plain,
    esk51_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_243])]) ).

cnf(c_0_256,negated_conjecture,
    ( ssList(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_197 ).

cnf(c_0_257,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk48_0
    | ~ neq(esk51_0,nil) ),
    inference(rw,[status(thm)],[c_0_253,c_0_245]) ).

cnf(c_0_258,negated_conjecture,
    neq(esk51_0,nil),
    inference(sr,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_259,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_198 ).

cnf(c_0_260,negated_conjecture,
    ( esk51_0 = nil
    | ssList(esk53_0) ),
    inference(spm,[status(thm)],[c_0_256,c_0_254]) ).

cnf(c_0_261,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    i_0_59 ).

cnf(c_0_262,negated_conjecture,
    app(cons(esk52_0,nil),esk53_0) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_258])]) ).

cnf(c_0_263,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_258])]) ).

cnf(c_0_264,negated_conjecture,
    ssList(esk53_0),
    inference(sr,[status(thm)],[c_0_260,c_0_255]) ).

cnf(c_0_265,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_266,negated_conjecture,
    ( nil = esk49_0
    | ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_193 ).

cnf(c_0_267,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_268,negated_conjecture,
    ( app(cons(esk52_0,nil),esk53_0) = esk48_0
    | esk48_0 != nil ),
    inference(spm,[status(thm)],[c_0_257,c_0_242]) ).

cnf(c_0_269,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_270,plain,
    cons(esk52_0,app(nil,esk53_0)) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]),c_0_264]),c_0_265])]) ).

cnf(c_0_271,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_156 ).

cnf(c_0_272,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_273,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    i_0_159 ).

cnf(c_0_274,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_275,plain,
    ( rearsegP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_130 ).

cnf(c_0_276,negated_conjecture,
    ( esk51_0 = nil
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_238]),c_0_238]) ).

cnf(c_0_277,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_278,negated_conjecture,
    ssList(esk50_0),
    i_0_203 ).

cnf(c_0_279,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_280,plain,
    ( cons(esk52_0,esk53_0) = esk48_0
    | esk48_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_264])]),c_0_263])]) ).

cnf(c_0_281,negated_conjecture,
    app(esk53_0,cons(esk52_0,nil)) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_258])]) ).

cnf(c_0_282,plain,
    ( cons(esk52_0,nil) = esk48_0
    | esk53_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_264]),c_0_265])]) ).

cnf(c_0_283,plain,
    ( segmentP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_265])]),c_0_274]) ).

cnf(c_0_284,plain,
    ( app(esk33_2(X1,X2),X2) = X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    i_0_131 ).

cnf(c_0_285,plain,
    ( ssList(esk33_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    i_0_132 ).

cnf(c_0_286,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_275]),c_0_274]) ).

cnf(c_0_287,negated_conjecture,
    ( X1 = nil
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk51_0,X1)
    | ~ ssList(X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_265])]),c_0_255]) ).

cnf(c_0_288,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_278,c_0_245]) ).

cnf(c_0_289,plain,
    esk48_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_263]),c_0_264])]) ).

cnf(c_0_290,negated_conjecture,
    ( app(esk53_0,esk48_0) = esk51_0
    | esk53_0 != nil ),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_291,plain,
    ( segmentP(X1,X2)
    | ~ rearsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284])]),c_0_285]) ).

cnf(c_0_292,negated_conjecture,
    ( rearsegP(esk48_0,esk53_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_262]),c_0_264])]) ).

cnf(c_0_293,plain,
    ~ segmentP(esk51_0,esk48_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_249]),c_0_288])]),c_0_289]) ).

cnf(c_0_294,negated_conjecture,
    ( segmentP(X1,esk48_0)
    | esk53_0 != nil
    | esk51_0 != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_290]),c_0_264]),c_0_288])]) ).

cnf(c_0_295,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_296,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_113 ).

cnf(c_0_297,negated_conjecture,
    ( segmentP(esk48_0,esk53_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_264]),c_0_288])]) ).

cnf(c_0_298,plain,
    esk53_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_294]),c_0_243])]) ).

cnf(c_0_299,plain,
    ( segmentP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_295]),c_0_265])]) ).

cnf(c_0_300,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    i_0_114 ).

cnf(c_0_301,plain,
    ( ssList(esk32_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    i_0_115 ).

cnf(c_0_302,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_296]),c_0_274]) ).

cnf(c_0_303,negated_conjecture,
    ( ~ segmentP(esk51_0,esk53_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_297]),c_0_264])]),c_0_298]) ).

cnf(c_0_304,plain,
    ( segmentP(X1,X2)
    | ~ frontsegP(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300])]),c_0_301]) ).

cnf(c_0_305,negated_conjecture,
    ( frontsegP(esk51_0,esk53_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_281]),c_0_264])]) ).

cnf(c_0_306,plain,
    ~ ssList(cons(esk52_0,nil)),
    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_304]),c_0_264]),c_0_243])]),c_0_305]) ).

cnf(c_0_307,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_308,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_263]),c_0_265])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC063+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.34  % Computer : n016.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 600
% 0.11/0.34  % DateTime : Sun Jun 12 09:50:44 EDT 2022
% 0.11/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.42/2.45  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.42/2.45  # Version: 2.1pre011
% 8.42/2.45  # Preprocessing time       : 0.024 s
% 8.42/2.45  
% 8.42/2.45  # Proof found!
% 8.42/2.45  # SZS status Theorem
% 8.42/2.45  # SZS output start CNFRefutation
% See solution above
% 8.42/2.45  # Proof object total steps             : 104
% 8.42/2.45  # Proof object clause steps            : 72
% 8.42/2.45  # Proof object formula steps           : 32
% 8.42/2.45  # Proof object conjectures             : 50
% 8.42/2.45  # Proof object clause conjectures      : 37
% 8.42/2.45  # Proof object formula conjectures     : 13
% 8.42/2.45  # Proof object initial clauses used    : 32
% 8.42/2.45  # Proof object initial formulas used   : 32
% 8.42/2.45  # Proof object generating inferences   : 27
% 8.42/2.45  # Proof object simplifying inferences  : 77
% 8.42/2.45  # Training examples: 0 positive, 0 negative
% 8.42/2.45  # Parsed axioms                        : 203
% 8.42/2.45  # Removed by relevancy pruning/SinE    : 0
% 8.42/2.45  # Initial clauses                      : 203
% 8.42/2.45  # Removed in clause preprocessing      : 0
% 8.42/2.45  # Initial clauses in saturation        : 203
% 8.42/2.45  # Processed clauses                    : 776
% 8.42/2.45  # ...of these trivial                  : 18
% 8.42/2.45  # ...subsumed                          : 301
% 8.42/2.45  # ...remaining for further processing  : 457
% 8.42/2.45  # Other redundant clauses eliminated   : 143
% 8.42/2.45  # Clauses deleted for lack of memory   : 0
% 8.42/2.45  # Backward-subsumed                    : 19
% 8.42/2.45  # Backward-rewritten                   : 10
% 8.42/2.45  # Generated clauses                    : 3394
% 8.42/2.45  # ...of the previous two non-trivial   : 2948
% 8.42/2.45  # Contextual simplify-reflections      : 170
% 8.42/2.45  # Paramodulations                      : 3208
% 8.42/2.45  # Factorizations                       : 0
% 8.42/2.45  # Equation resolutions                 : 184
% 8.42/2.45  # Propositional unsat checks           : 0
% 8.42/2.45  # Propositional unsat check successes  : 0
% 8.42/2.45  # Current number of processed clauses  : 420
% 8.42/2.45  #    Positive orientable unit clauses  : 27
% 8.42/2.45  #    Positive unorientable unit clauses: 0
% 8.42/2.45  #    Negative unit clauses             : 12
% 8.42/2.45  #    Non-unit-clauses                  : 381
% 8.42/2.45  # Current number of unprocessed clauses: 2183
% 8.42/2.45  # ...number of literals in the above   : 14320
% 8.42/2.45  # Current number of archived formulas  : 0
% 8.42/2.45  # Current number of archived clauses   : 31
% 8.42/2.45  # Clause-clause subsumption calls (NU) : 36517
% 8.42/2.45  # Rec. Clause-clause subsumption calls : 11463
% 8.42/2.45  # Non-unit clause-clause subsumptions  : 303
% 8.42/2.45  # Unit Clause-clause subsumption calls : 2166
% 8.42/2.45  # Rewrite failures with RHS unbound    : 0
% 8.42/2.45  # BW rewrite match attempts            : 7
% 8.42/2.45  # BW rewrite match successes           : 7
% 8.42/2.45  # Condensation attempts                : 0
% 8.42/2.45  # Condensation successes               : 0
% 8.42/2.45  # Termbank termtop insertions          : 64553
% 8.42/2.45  
% 8.42/2.45  # -------------------------------------------------
% 8.42/2.45  # User time                : 0.108 s
% 8.42/2.45  # System time              : 0.008 s
% 8.42/2.45  # Total time               : 0.116 s
% 8.42/2.45  # ...preprocessing         : 0.024 s
% 8.42/2.45  # ...main loop             : 0.093 s
% 8.42/2.45  # Maximum resident set size: 7352 pages
% 8.42/2.45  
%------------------------------------------------------------------------------