TSTP Solution File: SWC072+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC072+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 20:13:25 EDT 2022

% Result   : Theorem 11.69s 2.87s
% Output   : CNFRefutation 11.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   28
% Syntax   : Number of clauses     :  111 (  31 unt;  14 nHn; 111 RR)
%            Number of literals    :  307 (  90 equ; 196 neg)
%            Maximal clause size   :   11 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  110 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_192,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_192) ).

cnf(i_0_196,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_196) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_193) ).

cnf(i_0_195,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_195) ).

cnf(i_0_191,negated_conjecture,
    ( esk50_0 = X1
    | hd(esk51_0) != X2
    | tl(esk51_0) != X3
    | app(X3,X4) != X1
    | cons(X2,nil) != X4
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk51_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_191) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_58) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_56) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk51_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_197) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_54) ).

cnf(i_0_156,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_156) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_44) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_43) ).

cnf(i_0_59,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_59) ).

cnf(i_0_158,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_158) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_41) ).

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/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_149) ).

cnf(i_0_159,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_159) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_147) ).

cnf(i_0_101,plain,
    ( rearsegP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ rearsegP(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_101) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_154) ).

cnf(i_0_45,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_45) ).

cnf(i_0_131,plain,
    ( app(esk33_2(X1,X2),X2) = X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/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/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_132) ).

cnf(i_0_198,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_198) ).

cnf(i_0_194,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_194) ).

cnf(i_0_97,plain,
    ( rearsegP(X1,X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_97) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_60) ).

cnf(i_0_130,plain,
    ( rearsegP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3bet3p5t/lgb.p',i_0_130) ).

cnf(c_0_227,negated_conjecture,
    ( nil != esk48_0
    | nil != esk49_0 ),
    i_0_192 ).

cnf(c_0_228,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_196 ).

cnf(c_0_229,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_193 ).

cnf(c_0_230,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_195 ).

cnf(c_0_231,negated_conjecture,
    ( esk51_0 != nil
    | esk48_0 != nil ),
    inference(rw,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_232,negated_conjecture,
    ( esk50_0 = X1
    | hd(esk51_0) != X2
    | tl(esk51_0) != X3
    | app(X3,X4) != X1
    | cons(X2,nil) != X4
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk51_0)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_233,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_234,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_235,negated_conjecture,
    ssList(esk51_0),
    i_0_197 ).

cnf(c_0_236,negated_conjecture,
    esk51_0 != nil,
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).

cnf(c_0_237,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_238,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_156 ).

cnf(c_0_239,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_240,negated_conjecture,
    ( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk48_0
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ ssItem(hd(esk51_0))
    | ~ ssList(cons(hd(esk51_0),nil))
    | ~ ssList(tl(esk51_0)) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_230])])])])]),c_0_233]) ).

cnf(c_0_241,negated_conjecture,
    ssList(tl(esk51_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).

cnf(c_0_242,negated_conjecture,
    ssItem(hd(esk51_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_235]),c_0_236]) ).

cnf(c_0_243,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_244,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    i_0_59 ).

cnf(c_0_245,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_238])]),c_0_239])]) ).

cnf(c_0_246,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_158 ).

cnf(c_0_247,negated_conjecture,
    ( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk48_0
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241])]),c_0_242])]) ).

cnf(c_0_248,plain,
    ( ssList(app(cons(X1,X2),X3))
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_233]) ).

cnf(c_0_249,plain,
    ( app(cons(X1,nil),nil) = cons(X1,nil)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_239])]) ).

cnf(c_0_250,plain,
    ( cons(hd(esk51_0),nil) = nil
    | esk48_0 != nil
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0)
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_241])]) ).

cnf(c_0_251,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_252,plain,
    ( segmentP(X1,X2)
    | app(app(X3,X2),X4) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    i_0_149 ).

cnf(c_0_253,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    i_0_159 ).

cnf(c_0_254,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_255,plain,
    ( rearsegP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ rearsegP(X2,X3) ),
    i_0_101 ).

cnf(c_0_256,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_257,plain,
    ( ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_239])]) ).

cnf(c_0_258,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_45 ).

cnf(c_0_259,plain,
    ( cons(hd(esk51_0),nil) = nil
    | esk48_0 != nil
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_243]),c_0_242]),c_0_239])]) ).

cnf(c_0_260,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_251,c_0_239]) ).

cnf(c_0_261,plain,
    ( segmentP(app(app(X1,X2),X3),X2)
    | ~ ssList(app(app(X1,X2),X3))
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_252]) ).

cnf(c_0_262,plain,
    ( app(esk33_2(X1,X2),X2) = X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    i_0_131 ).

cnf(c_0_263,plain,
    ( ssList(esk33_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    i_0_132 ).

cnf(c_0_264,plain,
    ( app(cons(X1,X2),nil) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_253]),c_0_239])]) ).

cnf(c_0_265,negated_conjecture,
    cons(hd(esk51_0),tl(esk51_0)) = esk51_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_235]),c_0_236]) ).

cnf(c_0_266,plain,
    ( rearsegP(cons(X1,X2),X3)
    | ~ rearsegP(X2,X3)
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).

cnf(c_0_267,negated_conjecture,
    ssList(esk50_0),
    i_0_198 ).

cnf(c_0_268,plain,
    ( esk48_0 != nil
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_242]),c_0_239])]) ).

cnf(c_0_269,negated_conjecture,
    neq(esk51_0,nil),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_235]),c_0_236]) ).

cnf(c_0_270,negated_conjecture,
    ( X1 = esk51_0
    | neq(X1,esk51_0)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_251,c_0_235]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ ssList(X1)
    | ~ neq(X1,nil)
    | ~ segmentP(esk48_0,X1)
    | ~ segmentP(esk49_0,X1) ),
    i_0_194 ).

cnf(c_0_272,plain,
    ( segmentP(app(X1,X2),X3)
    | ~ rearsegP(X1,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]),c_0_233]) ).

cnf(c_0_273,negated_conjecture,
    app(esk51_0,nil) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_242]),c_0_241])]) ).

cnf(c_0_274,negated_conjecture,
    ( rearsegP(esk51_0,X1)
    | ~ rearsegP(tl(esk51_0),X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_265]),c_0_242]),c_0_241])]) ).

cnf(c_0_275,plain,
    ( rearsegP(X1,X1)
    | ~ ssList(X1) ),
    i_0_97 ).

cnf(c_0_276,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_267,c_0_230]) ).

cnf(c_0_277,plain,
    ( esk48_0 != nil
    | ~ neq(nil,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_269])]) ).

cnf(c_0_278,plain,
    neq(nil,esk51_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_239]),c_0_236]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ segmentP(esk51_0,X1)
    | ~ segmentP(esk48_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_271,c_0_228]) ).

cnf(c_0_280,negated_conjecture,
    ( tl(esk51_0) = nil
    | neq(tl(esk51_0),nil) ),
    inference(spm,[status(thm)],[c_0_260,c_0_241]) ).

cnf(c_0_281,negated_conjecture,
    ( segmentP(esk51_0,X1)
    | ~ rearsegP(esk51_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_239]),c_0_235])]) ).

cnf(c_0_282,plain,
    rearsegP(esk51_0,tl(esk51_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_241])]) ).

cnf(c_0_283,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_284,negated_conjecture,
    ( cons(hd(esk48_0),tl(esk48_0)) = esk48_0
    | esk48_0 = nil ),
    inference(spm,[status(thm)],[c_0_254,c_0_276]) ).

cnf(c_0_285,plain,
    esk48_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_277,c_0_278])]) ).

cnf(c_0_286,negated_conjecture,
    ( esk48_0 = nil
    | ssItem(hd(esk48_0)) ),
    inference(spm,[status(thm)],[c_0_237,c_0_276]) ).

cnf(c_0_287,negated_conjecture,
    ( esk48_0 = nil
    | ssList(tl(esk48_0)) ),
    inference(spm,[status(thm)],[c_0_234,c_0_276]) ).

cnf(c_0_288,negated_conjecture,
    ( tl(esk51_0) = nil
    | ~ segmentP(esk51_0,tl(esk51_0))
    | ~ segmentP(esk48_0,tl(esk51_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_241])]) ).

cnf(c_0_289,plain,
    segmentP(esk51_0,tl(esk51_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_241])]) ).

cnf(c_0_290,plain,
    ( segmentP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_283]),c_0_239])]),c_0_233]) ).

cnf(c_0_291,negated_conjecture,
    ( app(tl(esk51_0),cons(hd(esk51_0),nil)) = esk48_0
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_269])]),c_0_278])]) ).

cnf(c_0_292,negated_conjecture,
    cons(hd(esk48_0),tl(esk48_0)) = esk48_0,
    inference(sr,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_293,negated_conjecture,
    ssItem(hd(esk48_0)),
    inference(sr,[status(thm)],[c_0_286,c_0_285]) ).

cnf(c_0_294,negated_conjecture,
    ssList(tl(esk48_0)),
    inference(sr,[status(thm)],[c_0_287,c_0_285]) ).

cnf(c_0_295,plain,
    ( rearsegP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_130 ).

cnf(c_0_296,negated_conjecture,
    ( tl(esk51_0) = nil
    | ~ segmentP(esk48_0,tl(esk51_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_289])]) ).

cnf(c_0_297,negated_conjecture,
    ( segmentP(esk48_0,tl(esk51_0))
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_241])]) ).

cnf(c_0_298,negated_conjecture,
    app(esk48_0,nil) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_292]),c_0_293]),c_0_294])]) ).

cnf(c_0_299,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_295]),c_0_233]) ).

cnf(c_0_300,negated_conjecture,
    ( tl(esk51_0) = nil
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(spm,[status(thm)],[c_0_296,c_0_297]) ).

cnf(c_0_301,negated_conjecture,
    ( segmentP(esk48_0,X1)
    | ~ rearsegP(esk48_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_298]),c_0_239]),c_0_276])]) ).

cnf(c_0_302,plain,
    ( rearsegP(esk48_0,cons(hd(esk51_0),nil))
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_291]),c_0_241])]) ).

cnf(c_0_303,plain,
    tl(esk51_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_243]),c_0_242]),c_0_239])]) ).

cnf(c_0_304,negated_conjecture,
    ( ~ segmentP(esk51_0,esk51_0)
    | ~ segmentP(esk48_0,esk51_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_269]),c_0_235])]) ).

cnf(c_0_305,negated_conjecture,
    segmentP(esk51_0,esk51_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_273]),c_0_239]),c_0_235])]) ).

cnf(c_0_306,plain,
    ( segmentP(esk48_0,cons(hd(esk51_0),nil))
    | ~ ssList(cons(hd(esk51_0),nil)) ),
    inference(spm,[status(thm)],[c_0_301,c_0_302]) ).

cnf(c_0_307,negated_conjecture,
    cons(hd(esk51_0),nil) = esk51_0,
    inference(rw,[status(thm)],[c_0_265,c_0_303]) ).

cnf(c_0_308,negated_conjecture,
    ~ segmentP(esk48_0,esk51_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_304,c_0_305])]) ).

cnf(c_0_309,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_307]),c_0_307]),c_0_235])]),c_0_308]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC072+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n008.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 13 00:36:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.69/2.87  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.69/2.87  # No SInE strategy applied
% 11.69/2.87  # Trying AutoSched0 for 150 seconds
% 11.69/2.87  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.69/2.87  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.69/2.87  #
% 11.69/2.87  # Preprocessing time       : 0.025 s
% 11.69/2.87  # Presaturation interreduction done
% 11.69/2.87  
% 11.69/2.87  # Proof found!
% 11.69/2.87  # SZS status Theorem
% 11.69/2.87  # SZS output start CNFRefutation
% See solution above
% 11.69/2.87  # Training examples: 0 positive, 0 negative
% 11.69/2.87  
% 11.69/2.87  # -------------------------------------------------
% 11.69/2.87  # User time                : 0.613 s
% 11.69/2.87  # System time              : 0.027 s
% 11.69/2.87  # Total time               : 0.640 s
% 11.69/2.87  # Maximum resident set size: 7124 pages
% 11.69/2.87  
%------------------------------------------------------------------------------