TSTP Solution File: SWC297+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC297+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:14:49 EDT 2022
% Result : Theorem 9.25s 2.55s
% Output : CNFRefutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 38
% Syntax : Number of clauses : 156 ( 43 unt; 21 nHn; 156 RR)
% Number of literals : 401 ( 146 equ; 233 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_200,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_200) ).
cnf(i_0_204,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_204) ).
cnf(i_0_157,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_157) ).
cnf(i_0_201,negated_conjecture,
ssList(esk54_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_201) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_58) ).
cnf(i_0_202,negated_conjecture,
ssList(esk53_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_202) ).
cnf(i_0_158,plain,
( nil = X1
| app(X2,X1) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_158) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_43) ).
cnf(i_0_203,negated_conjecture,
ssItem(esk52_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_203) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_44) ).
cnf(i_0_45,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_45) ).
cnf(i_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_41) ).
cnf(i_0_194,negated_conjecture,
( esk50_0 = nil
| nil != esk51_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_194) ).
cnf(i_0_206,negated_conjecture,
ssList(esk51_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_206) ).
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-i2lfi1sm/lgb.p',i_0_155) ).
cnf(i_0_192,negated_conjecture,
( cons(esk56_0,nil) = esk50_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_192) ).
cnf(i_0_193,negated_conjecture,
( ssItem(esk56_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_193) ).
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-i2lfi1sm/lgb.p',i_0_81) ).
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-i2lfi1sm/lgb.p',i_0_154) ).
cnf(i_0_209,negated_conjecture,
ssList(esk48_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_209) ).
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-i2lfi1sm/lgb.p',i_0_78) ).
cnf(i_0_79,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_79) ).
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-i2lfi1sm/lgb.p',i_0_148) ).
cnf(i_0_73,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_73) ).
cnf(i_0_198,negated_conjecture,
( memberP(esk53_0,esk55_0)
| memberP(esk54_0,esk55_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_198) ).
cnf(i_0_199,negated_conjecture,
ssItem(esk55_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_199) ).
cnf(i_0_74,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ memberP(X1,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_74) ).
cnf(i_0_59,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_59) ).
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-i2lfi1sm/lgb.p',i_0_113) ).
cnf(i_0_153,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_153) ).
cnf(i_0_91,plain,
( X1 = X2
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ frontsegP(cons(X1,X4),cons(X2,X3)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_91) ).
cnf(i_0_57,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_57) ).
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-i2lfi1sm/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-i2lfi1sm/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-i2lfi1sm/lgb.p',i_0_51) ).
cnf(i_0_159,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_159) ).
cnf(i_0_86,plain,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1)
| ~ frontsegP(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_86) ).
cnf(i_0_60,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_60) ).
cnf(c_0_248,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
i_0_200 ).
cnf(c_0_249,negated_conjecture,
esk50_0 = esk48_0,
i_0_204 ).
cnf(c_0_250,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_157 ).
cnf(c_0_251,negated_conjecture,
app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
inference(rw,[status(thm)],[c_0_248,c_0_249]) ).
cnf(c_0_252,negated_conjecture,
ssList(esk54_0),
i_0_201 ).
cnf(c_0_253,negated_conjecture,
( app(esk53_0,cons(esk52_0,nil)) = nil
| esk50_0 != nil
| ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252])]) ).
cnf(c_0_254,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_255,negated_conjecture,
ssList(esk53_0),
i_0_202 ).
cnf(c_0_256,plain,
( nil = X1
| app(X2,X1) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_158 ).
cnf(c_0_257,negated_conjecture,
( app(esk53_0,cons(esk52_0,nil)) = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255])]) ).
cnf(c_0_258,plain,
( cons(esk52_0,nil) = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_255])]) ).
cnf(c_0_259,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_260,negated_conjecture,
ssItem(esk52_0),
i_0_203 ).
cnf(c_0_261,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_262,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_45 ).
cnf(c_0_263,plain,
( cons(esk52_0,nil) = nil
| esk50_0 != nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]),c_0_261])]) ).
cnf(c_0_264,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_265,plain,
esk50_0 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_260]),c_0_261])]) ).
cnf(c_0_266,negated_conjecture,
( esk50_0 = nil
| nil != esk51_0 ),
i_0_194 ).
cnf(c_0_267,plain,
( X1 = nil
| neq(X1,nil)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_264,c_0_261]) ).
cnf(c_0_268,negated_conjecture,
ssList(esk51_0),
i_0_206 ).
cnf(c_0_269,negated_conjecture,
esk51_0 != nil,
inference(spm,[status(thm)],[c_0_265,c_0_266]) ).
cnf(c_0_270,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_271,negated_conjecture,
( cons(esk56_0,nil) = esk50_0
| ~ neq(esk51_0,nil) ),
i_0_192 ).
cnf(c_0_272,negated_conjecture,
neq(esk51_0,nil),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]) ).
cnf(c_0_273,negated_conjecture,
( ssItem(esk56_0)
| ~ neq(esk51_0,nil) ),
i_0_193 ).
cnf(c_0_274,plain,
( memberP(X1,X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2) ),
i_0_81 ).
cnf(c_0_275,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_251,c_0_270]),c_0_252]),c_0_255])]) ).
cnf(c_0_276,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_277,negated_conjecture,
ssList(esk48_0),
i_0_209 ).
cnf(c_0_278,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
i_0_78 ).
cnf(c_0_279,negated_conjecture,
cons(esk56_0,nil) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_272])]) ).
cnf(c_0_280,negated_conjecture,
ssItem(esk56_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_272])]) ).
cnf(c_0_281,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
i_0_79 ).
cnf(c_0_282,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_274]) ).
cnf(c_0_283,plain,
( app(esk53_0,cons(esk52_0,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_275,c_0_276]),c_0_260]),c_0_252])]) ).
cnf(c_0_284,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_277,c_0_249]) ).
cnf(c_0_285,plain,
( esk56_0 = X1
| ~ memberP(esk50_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]),c_0_261])]),c_0_281]) ).
cnf(c_0_286,plain,
( memberP(esk50_0,esk52_0)
| ~ ssList(cons(esk52_0,nil)) ),
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_282,c_0_283]),c_0_260]),c_0_284]),c_0_252]),c_0_255])]) ).
cnf(c_0_287,plain,
( esk56_0 = esk52_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_260])]) ).
cnf(c_0_288,plain,
esk56_0 = esk52_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_259]),c_0_260]),c_0_261])]) ).
cnf(c_0_289,negated_conjecture,
cons(esk52_0,nil) = esk50_0,
inference(rw,[status(thm)],[c_0_279,c_0_288]) ).
cnf(c_0_290,plain,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
i_0_148 ).
cnf(c_0_291,plain,
( app(esk50_0,X1) = cons(esk56_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_279]),c_0_280])]) ).
cnf(c_0_292,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ memberP(X2,X3) ),
i_0_73 ).
cnf(c_0_293,negated_conjecture,
app(app(esk53_0,esk50_0),esk54_0) = esk50_0,
inference(rw,[status(thm)],[c_0_251,c_0_289]) ).
cnf(c_0_294,plain,
( X1 = esk50_0
| app(X1,X2) != cons(esk56_0,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_284])]) ).
cnf(c_0_295,plain,
( memberP(esk50_0,X1)
| ~ memberP(esk54_0,X1)
| ~ ssItem(X1)
| ~ ssList(app(esk53_0,esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_252])]) ).
cnf(c_0_296,negated_conjecture,
( memberP(esk53_0,esk55_0)
| memberP(esk54_0,esk55_0) ),
i_0_198 ).
cnf(c_0_297,negated_conjecture,
ssItem(esk55_0),
i_0_199 ).
cnf(c_0_298,negated_conjecture,
( app(esk53_0,cons(esk52_0,nil)) = esk50_0
| cons(esk56_0,esk54_0) != esk50_0
| ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_251]),c_0_252])]) ).
cnf(c_0_299,plain,
( memberP(app(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ memberP(X1,X3) ),
i_0_74 ).
cnf(c_0_300,plain,
app(esk53_0,cons(esk52_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_289]),c_0_284])]) ).
cnf(c_0_301,negated_conjecture,
( memberP(esk53_0,esk55_0)
| memberP(esk50_0,esk55_0)
| ~ ssList(app(esk53_0,esk50_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297])]) ).
cnf(c_0_302,plain,
( app(esk53_0,cons(esk52_0,nil)) = esk50_0
| cons(esk56_0,esk54_0) != esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_254]),c_0_255])]) ).
cnf(c_0_303,plain,
( memberP(esk50_0,X1)
| ~ memberP(esk53_0,X1)
| ~ ssItem(X1)
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_255])]) ).
cnf(c_0_304,plain,
( memberP(esk50_0,esk55_0)
| memberP(esk53_0,esk55_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_254]),c_0_284]),c_0_255])]) ).
cnf(c_0_305,negated_conjecture,
( app(esk50_0,esk54_0) = esk50_0
| cons(esk56_0,esk54_0) != esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(spm,[status(thm)],[c_0_251,c_0_302]) ).
cnf(c_0_306,plain,
( esk52_0 = X1
| ~ memberP(esk50_0,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_285,c_0_288]) ).
cnf(c_0_307,plain,
( memberP(esk50_0,esk55_0)
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_297])]) ).
cnf(c_0_308,negated_conjecture,
app(esk53_0,app(esk50_0,esk54_0)) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_289]),c_0_289]),c_0_284])]) ).
cnf(c_0_309,negated_conjecture,
( app(esk50_0,esk54_0) = esk50_0
| cons(esk52_0,esk54_0) != esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_288]),c_0_289]),c_0_284])]) ).
cnf(c_0_310,plain,
( esk52_0 = esk55_0
| ~ ssList(cons(esk52_0,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_297])]) ).
cnf(c_0_311,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
i_0_59 ).
cnf(c_0_312,negated_conjecture,
( app(esk53_0,esk50_0) = esk50_0
| cons(esk52_0,esk54_0) != esk50_0 ),
inference(spm,[status(thm)],[c_0_308,c_0_309]) ).
cnf(c_0_313,plain,
esk52_0 = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_259]),c_0_260]),c_0_252])]) ).
cnf(c_0_314,plain,
( app(esk53_0,cons(esk52_0,app(nil,esk54_0))) = esk50_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_311]),c_0_260]),c_0_252]),c_0_261])]) ).
cnf(c_0_315,plain,
( frontsegP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
i_0_113 ).
cnf(c_0_316,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
i_0_153 ).
cnf(c_0_317,negated_conjecture,
( app(esk53_0,esk50_0) = esk50_0
| cons(esk55_0,esk54_0) != esk50_0 ),
inference(rw,[status(thm)],[c_0_312,c_0_313]) ).
cnf(c_0_318,plain,
app(esk53_0,cons(esk52_0,app(nil,esk54_0))) = esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_289]),c_0_284])]) ).
cnf(c_0_319,plain,
( X1 = X2
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ frontsegP(cons(X1,X4),cons(X2,X3)) ),
i_0_91 ).
cnf(c_0_320,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_315]),c_0_254]) ).
cnf(c_0_321,plain,
( X1 = esk50_0
| cons(esk55_0,esk54_0) != esk50_0
| app(esk53_0,X1) != esk50_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_255]),c_0_284])]) ).
cnf(c_0_322,plain,
app(esk53_0,cons(esk55_0,app(nil,esk54_0))) = esk50_0,
inference(rw,[status(thm)],[c_0_318,c_0_313]) ).
cnf(c_0_323,plain,
( esk56_0 = X1
| ~ frontsegP(esk50_0,cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_279]),c_0_280]),c_0_261])]) ).
cnf(c_0_324,plain,
( frontsegP(esk50_0,esk53_0)
| ~ ssList(app(cons(esk52_0,nil),esk54_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_275]),c_0_255])]) ).
cnf(c_0_325,plain,
( cons(esk55_0,app(nil,esk54_0)) = esk50_0
| cons(esk55_0,esk54_0) != esk50_0
| ~ ssList(cons(esk55_0,app(nil,esk54_0))) ),
inference(spm,[status(thm)],[c_0_321,c_0_322]) ).
cnf(c_0_326,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_57 ).
cnf(c_0_327,plain,
( esk52_0 = X1
| ~ frontsegP(esk50_0,cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[c_0_323,c_0_288]) ).
cnf(c_0_328,plain,
( nil = X1
| cons(esk26_1(X1),esk25_1(X1)) = X1
| ~ ssList(X1) ),
i_0_50 ).
cnf(c_0_329,plain,
( frontsegP(esk50_0,esk53_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_254]),c_0_252])]) ).
cnf(c_0_330,plain,
( nil = X1
| ssList(esk25_1(X1))
| ~ ssList(X1) ),
i_0_52 ).
cnf(c_0_331,plain,
( nil = X1
| ssItem(esk26_1(X1))
| ~ ssList(X1) ),
i_0_51 ).
cnf(c_0_332,plain,
( cons(esk55_0,app(nil,esk54_0)) = esk50_0
| cons(esk55_0,esk54_0) != esk50_0
| ~ ssList(app(nil,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_259]),c_0_297])]) ).
cnf(c_0_333,plain,
tl(esk50_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_279]),c_0_280]),c_0_261])]) ).
cnf(c_0_334,plain,
( app(esk50_0,X1) = cons(esk52_0,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_291,c_0_288]) ).
cnf(c_0_335,plain,
( esk55_0 = X1
| ~ frontsegP(esk50_0,cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(rw,[status(thm)],[c_0_327,c_0_313]) ).
cnf(c_0_336,negated_conjecture,
( cons(esk26_1(esk53_0),esk25_1(esk53_0)) = esk53_0
| esk53_0 = nil ),
inference(spm,[status(thm)],[c_0_328,c_0_255]) ).
cnf(c_0_337,plain,
frontsegP(esk50_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_289]),c_0_284])]) ).
cnf(c_0_338,negated_conjecture,
( esk53_0 = nil
| ssList(esk25_1(esk53_0)) ),
inference(spm,[status(thm)],[c_0_330,c_0_255]) ).
cnf(c_0_339,negated_conjecture,
( esk53_0 = nil
| ssItem(esk26_1(esk53_0)) ),
inference(spm,[status(thm)],[c_0_331,c_0_255]) ).
cnf(c_0_340,plain,
( X1 = app(esk50_0,esk54_0)
| app(esk53_0,X1) != esk50_0
| ~ ssList(app(esk50_0,esk54_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_308]),c_0_255])]) ).
cnf(c_0_341,plain,
( app(nil,esk54_0) = nil
| cons(esk55_0,esk54_0) != esk50_0
| ~ ssList(app(nil,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_332]),c_0_333]),c_0_297])]) ).
cnf(c_0_342,plain,
( app(esk50_0,X1) = cons(esk55_0,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[c_0_334,c_0_313]) ).
cnf(c_0_343,negated_conjecture,
( esk26_1(esk53_0) = esk55_0
| esk53_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337])]),c_0_338]),c_0_339]) ).
cnf(c_0_344,plain,
( X1 = app(esk50_0,esk54_0)
| app(esk53_0,X1) != esk50_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_254]),c_0_252]),c_0_284])]) ).
cnf(c_0_345,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_159 ).
cnf(c_0_346,plain,
( app(nil,esk54_0) = nil
| cons(esk55_0,esk54_0) != esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_254]),c_0_252]),c_0_261])]) ).
cnf(c_0_347,plain,
( frontsegP(cons(esk55_0,X1),esk50_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_342]),c_0_284])]) ).
cnf(c_0_348,negated_conjecture,
( cons(esk55_0,esk25_1(esk53_0)) = esk53_0
| esk53_0 = nil ),
inference(spm,[status(thm)],[c_0_336,c_0_343]) ).
cnf(c_0_349,plain,
( app(esk50_0,esk54_0) = nil
| esk53_0 != esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_261]),c_0_255])]) ).
cnf(c_0_350,plain,
( cons(esk55_0,app(nil,esk54_0)) = app(esk50_0,esk54_0)
| ~ ssList(cons(esk55_0,app(nil,esk54_0))) ),
inference(spm,[status(thm)],[c_0_344,c_0_322]) ).
cnf(c_0_351,plain,
( cons(esk55_0,esk54_0) != esk50_0
| ~ memberP(esk54_0,X1)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_346]),c_0_252]),c_0_261])]),c_0_281]) ).
cnf(c_0_352,plain,
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1)
| ~ frontsegP(X1,X2) ),
i_0_86 ).
cnf(c_0_353,plain,
( esk53_0 = nil
| frontsegP(esk53_0,esk50_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_338]) ).
cnf(c_0_354,plain,
esk53_0 != esk50_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_349]),c_0_252]),c_0_284])]),c_0_265]) ).
cnf(c_0_355,plain,
( cons(esk55_0,app(nil,esk54_0)) = app(esk50_0,esk54_0)
| ~ ssList(app(nil,esk54_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_259]),c_0_297])]) ).
cnf(c_0_356,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_60 ).
cnf(c_0_357,negated_conjecture,
( memberP(esk53_0,esk55_0)
| cons(esk55_0,esk54_0) != esk50_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_296]),c_0_297])]) ).
cnf(c_0_358,plain,
esk53_0 = nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_337]),c_0_255]),c_0_284])]),c_0_354]) ).
cnf(c_0_359,plain,
app(esk53_0,cons(esk55_0,esk54_0)) = esk50_0,
inference(rw,[status(thm)],[c_0_300,c_0_313]) ).
cnf(c_0_360,plain,
app(esk50_0,esk54_0) = cons(esk55_0,esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_252])]) ).
cnf(c_0_361,negated_conjecture,
( memberP(nil,esk55_0)
| cons(esk55_0,esk54_0) != esk50_0 ),
inference(rw,[status(thm)],[c_0_357,c_0_358]) ).
cnf(c_0_362,plain,
app(nil,cons(esk55_0,esk54_0)) = esk50_0,
inference(rw,[status(thm)],[c_0_359,c_0_358]) ).
cnf(c_0_363,plain,
ssList(cons(esk55_0,esk54_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_360]),c_0_252]),c_0_284])]) ).
cnf(c_0_364,plain,
cons(esk55_0,esk54_0) != esk50_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_361]),c_0_297])]) ).
cnf(c_0_365,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_362]),c_0_363])]),c_0_364]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC297+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n025.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 : Sun Jun 12 11:58:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.25/2.55 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.25/2.55 # No SInE strategy applied
% 9.25/2.55 # Trying AutoSched0 for 150 seconds
% 9.25/2.55 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.25/2.55 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.25/2.55 #
% 9.25/2.55 # Preprocessing time : 0.025 s
% 9.25/2.55 # Presaturation interreduction done
% 9.25/2.55
% 9.25/2.55 # Proof found!
% 9.25/2.55 # SZS status Theorem
% 9.25/2.55 # SZS output start CNFRefutation
% See solution above
% 9.25/2.55 # Training examples: 0 positive, 0 negative
% 9.25/2.55
% 9.25/2.55 # -------------------------------------------------
% 9.25/2.55 # User time : 0.228 s
% 9.25/2.55 # System time : 0.015 s
% 9.25/2.55 # Total time : 0.243 s
% 9.25/2.55 # Maximum resident set size: 7120 pages
% 9.25/2.55
%------------------------------------------------------------------------------