TSTP Solution File: SWC413+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC413+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 20:15:33 EDT 2022
% Result : Theorem 7.71s 2.47s
% Output : CNFRefutation 7.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 38
% Syntax : Number of clauses : 120 ( 18 unt; 54 nHn; 120 RR)
% Number of literals : 356 ( 119 equ; 188 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_215,negated_conjecture,
( ssItem(esk55_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_215) ).
cnf(i_0_242,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_242) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_58) ).
cnf(i_0_59,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_59) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_43) ).
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-d9brlpcj/lgb.p',i_0_156) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_44) ).
cnf(i_0_240,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk48_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk49_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk51_0
| ~ ssList(X3)
| ~ ssList(X6)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_240) ).
cnf(i_0_210,negated_conjecture,
( ssItem(esk56_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_210) ).
cnf(i_0_205,negated_conjecture,
( ssList(esk57_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_205) ).
cnf(i_0_197,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssList(esk60_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_197) ).
cnf(i_0_211,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk55_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_211) ).
cnf(i_0_212,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk55_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_212) ).
cnf(i_0_214,negated_conjecture,
( ssItem(esk55_0)
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_214) ).
cnf(i_0_213,negated_conjecture,
( ssItem(esk55_0)
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_213) ).
cnf(i_0_198,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_198) ).
cnf(i_0_199,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_199) ).
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-d9brlpcj/lgb.p',i_0_154) ).
cnf(i_0_206,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk56_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_206) ).
cnf(i_0_207,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk56_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_207) ).
cnf(i_0_209,negated_conjecture,
( ssItem(esk56_0)
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_209) ).
cnf(i_0_208,negated_conjecture,
( ssItem(esk56_0)
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_208) ).
cnf(i_0_201,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssList(esk57_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_201) ).
cnf(i_0_202,negated_conjecture,
( ssList(esk57_0)
| ssList(esk60_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_202) ).
cnf(i_0_204,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_204) ).
cnf(i_0_203,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_203) ).
cnf(i_0_192,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssList(esk60_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_192) ).
cnf(i_0_241,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_241) ).
cnf(i_0_238,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk48_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_238) ).
cnf(i_0_193,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssItem(esk59_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_193) ).
cnf(i_0_239,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk48_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_239) ).
cnf(i_0_194,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssItem(esk58_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_194) ).
cnf(i_0_196,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_196) ).
cnf(i_0_191,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_191) ).
cnf(i_0_60,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_60) ).
cnf(i_0_200,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_200) ).
cnf(i_0_236,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk48_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_236) ).
cnf(i_0_195,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-d9brlpcj/lgb.p',i_0_195) ).
cnf(c_0_281,negated_conjecture,
( ssItem(esk55_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_215 ).
cnf(c_0_282,negated_conjecture,
esk49_0 = esk51_0,
i_0_242 ).
cnf(c_0_283,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_284,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
i_0_59 ).
cnf(c_0_285,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_286,plain,
( app(X1,X2) = nil
| nil != X1
| nil != X2
| ~ ssList(X1)
| ~ ssList(X2) ),
i_0_156 ).
cnf(c_0_287,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_288,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk48_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk49_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk51_0
| ~ ssList(X3)
| ~ ssList(X6)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
i_0_240 ).
cnf(c_0_289,negated_conjecture,
( ssItem(esk56_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_210 ).
cnf(c_0_290,negated_conjecture,
( ssList(esk57_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_205 ).
cnf(c_0_291,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssList(esk60_0) ),
i_0_197 ).
cnf(c_0_292,negated_conjecture,
( ssItem(esk55_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_281,c_0_282]) ).
cnf(c_0_293,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk55_0) ),
i_0_211 ).
cnf(c_0_294,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk55_0) ),
i_0_212 ).
cnf(c_0_295,negated_conjecture,
( ssItem(esk55_0)
| ssItem(esk58_0) ),
i_0_214 ).
cnf(c_0_296,negated_conjecture,
( ssItem(esk55_0)
| ssItem(esk59_0) ),
i_0_213 ).
cnf(c_0_297,plain,
( ssList(cons(X1,app(X2,X3)))
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_285]) ).
cnf(c_0_298,plain,
app(nil,nil) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_286])]),c_0_287])]) ).
cnf(c_0_299,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssItem(esk59_0) ),
i_0_198 ).
cnf(c_0_300,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssItem(esk58_0) ),
i_0_199 ).
cnf(c_0_301,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk49_0
| app(app(cons(X5,nil),cons(X4,nil)),X6) != esk48_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X4)
| ~ ssItem(X5)
| ~ ssList(X3)
| ~ ssList(X6) ),
inference(rw,[status(thm)],[c_0_288,c_0_282]) ).
cnf(c_0_302,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_303,negated_conjecture,
( ssItem(esk56_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_289,c_0_282]) ).
cnf(c_0_304,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssItem(esk56_0) ),
i_0_206 ).
cnf(c_0_305,negated_conjecture,
( ssList(esk60_0)
| ssItem(esk56_0) ),
i_0_207 ).
cnf(c_0_306,negated_conjecture,
( ssItem(esk56_0)
| ssItem(esk58_0) ),
i_0_209 ).
cnf(c_0_307,negated_conjecture,
( ssItem(esk56_0)
| ssItem(esk59_0) ),
i_0_208 ).
cnf(c_0_308,negated_conjecture,
( ssList(esk57_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[c_0_290,c_0_282]) ).
cnf(c_0_309,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| ssList(esk57_0) ),
i_0_201 ).
cnf(c_0_310,negated_conjecture,
( ssList(esk57_0)
| ssList(esk60_0) ),
i_0_202 ).
cnf(c_0_311,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk58_0) ),
i_0_204 ).
cnf(c_0_312,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk59_0) ),
i_0_203 ).
cnf(c_0_313,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssList(esk60_0) ),
i_0_192 ).
cnf(c_0_314,negated_conjecture,
esk50_0 = esk48_0,
i_0_241 ).
cnf(c_0_315,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
| ssList(esk60_0) ),
inference(rw,[status(thm)],[c_0_291,c_0_282]) ).
cnf(c_0_316,negated_conjecture,
ssItem(esk55_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]),c_0_295]),c_0_296]) ).
cnf(c_0_317,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk48_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
i_0_238 ).
cnf(c_0_318,plain,
( ssList(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_287])]) ).
cnf(c_0_319,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssItem(esk59_0) ),
i_0_193 ).
cnf(c_0_320,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
| ssItem(esk59_0) ),
inference(rw,[status(thm)],[c_0_299,c_0_282]) ).
cnf(c_0_321,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk48_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
i_0_239 ).
cnf(c_0_322,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssItem(esk58_0) ),
i_0_194 ).
cnf(c_0_323,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
| ssItem(esk58_0) ),
inference(rw,[status(thm)],[c_0_300,c_0_282]) ).
cnf(c_0_324,plain,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
| app(cons(X4,cons(X5,nil)),X6) != esk49_0
| ~ ssItem(X5)
| ~ ssItem(X4)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(cons(X5,nil))
| ~ ssList(X6)
| ~ ssList(X3) ),
inference(spm,[status(thm)],[c_0_301,c_0_302]) ).
cnf(c_0_325,negated_conjecture,
ssItem(esk56_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_305]),c_0_306]),c_0_307]) ).
cnf(c_0_326,negated_conjecture,
ssList(esk57_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_310]),c_0_311]),c_0_312]) ).
cnf(c_0_327,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0
| ssList(esk60_0) ),
inference(rw,[status(thm)],[c_0_313,c_0_314]) ).
cnf(c_0_328,plain,
( app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| ssList(esk60_0)
| ~ ssList(cons(esk56_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_302]),c_0_316])]) ).
cnf(c_0_329,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
i_0_196 ).
cnf(c_0_330,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
i_0_191 ).
cnf(c_0_331,plain,
( ssItem(esk59_0)
| app(cons(X1,app(nil,cons(X2,nil))),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_284]),c_0_287])]),c_0_318]) ).
cnf(c_0_332,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0
| ssItem(esk59_0) ),
inference(rw,[status(thm)],[c_0_319,c_0_314]) ).
cnf(c_0_333,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_60 ).
cnf(c_0_334,plain,
( app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| ssItem(esk59_0)
| ~ ssList(cons(esk56_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_302]),c_0_316])]) ).
cnf(c_0_335,plain,
( ssItem(esk58_0)
| app(cons(X1,app(nil,cons(X2,nil))),X3) != esk49_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_284]),c_0_287])]),c_0_318]) ).
cnf(c_0_336,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0
| ssItem(esk58_0) ),
inference(rw,[status(thm)],[c_0_322,c_0_314]) ).
cnf(c_0_337,plain,
( app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| ssItem(esk58_0)
| ~ ssList(cons(esk56_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_302]),c_0_316])]) ).
cnf(c_0_338,negated_conjecture,
( ssList(esk60_0)
| app(cons(X1,cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(cons(X2,nil))
| ~ ssList(X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_315]),c_0_316]),c_0_325]),c_0_326])]),c_0_327]) ).
cnf(c_0_339,plain,
( app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| ssList(esk60_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_285]),c_0_325]),c_0_287])]) ).
cnf(c_0_340,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_200 ).
cnf(c_0_341,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk48_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
i_0_236 ).
cnf(c_0_342,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0 ),
inference(rw,[status(thm)],[c_0_329,c_0_282]) ).
cnf(c_0_343,negated_conjecture,
( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0 ),
inference(rw,[status(thm)],[c_0_330,c_0_314]) ).
cnf(c_0_344,negated_conjecture,
( ssItem(esk59_0)
| app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0) != esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_332]),c_0_316]),c_0_325]),c_0_326])]) ).
cnf(c_0_345,plain,
( app(nil,cons(X1,X2)) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_333,c_0_285]) ).
cnf(c_0_346,plain,
( app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| ssItem(esk59_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_285]),c_0_325]),c_0_287])]) ).
cnf(c_0_347,negated_conjecture,
( ssItem(esk58_0)
| app(cons(esk55_0,app(nil,cons(esk56_0,nil))),esk57_0) != esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_316]),c_0_325]),c_0_326])]) ).
cnf(c_0_348,plain,
( app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| ssItem(esk58_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_285]),c_0_325]),c_0_287])]) ).
cnf(c_0_349,plain,
( ssList(esk60_0)
| ~ ssList(cons(esk56_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_325]),c_0_316]),c_0_326])]) ).
cnf(c_0_350,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_195 ).
cnf(c_0_351,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_282]),c_0_282]) ).
cnf(c_0_352,negated_conjecture,
app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_342]),c_0_316]),c_0_325]),c_0_326])]),c_0_343]) ).
cnf(c_0_353,plain,
ssItem(esk59_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_325]),c_0_287])]),c_0_346]) ).
cnf(c_0_354,plain,
ssItem(esk58_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_345]),c_0_325]),c_0_287])]),c_0_348]) ).
cnf(c_0_355,plain,
ssList(esk60_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_285]),c_0_325]),c_0_287])]) ).
cnf(c_0_356,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_314]),c_0_282]) ).
cnf(c_0_357,negated_conjecture,
app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_352]),c_0_353]),c_0_354]),c_0_355])]) ).
cnf(c_0_358,negated_conjecture,
app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_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_356,c_0_352]),c_0_353]),c_0_354]),c_0_355])]) ).
cnf(c_0_359,plain,
( app(cons(X1,cons(X2,nil)),X3) != esk49_0
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3) ),
inference(csr,[status(thm)],[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_324,c_0_357]),c_0_358]),c_0_316]),c_0_325]),c_0_326])]),c_0_318]) ).
cnf(c_0_360,plain,
( app(cons(esk58_0,cons(esk59_0,nil)),esk60_0) = esk49_0
| ~ ssList(cons(esk59_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_302]),c_0_354])]) ).
cnf(c_0_361,plain,
~ ssList(cons(esk59_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_360]),c_0_353]),c_0_354]),c_0_355])]) ).
cnf(c_0_362,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_285]),c_0_353]),c_0_287])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC413+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 15:21:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.21/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.71/2.47 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.71/2.47 # No SInE strategy applied
% 7.71/2.47 # Trying AutoSched0 for 150 seconds
% 7.71/2.47 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 7.71/2.47 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.71/2.47 #
% 7.71/2.47 # Preprocessing time : 0.015 s
% 7.71/2.47 # Presaturation interreduction done
% 7.71/2.47
% 7.71/2.47 # Proof found!
% 7.71/2.47 # SZS status Theorem
% 7.71/2.47 # SZS output start CNFRefutation
% See solution above
% 7.71/2.47 # Training examples: 0 positive, 0 negative
% 7.71/2.47
% 7.71/2.47 # -------------------------------------------------
% 7.71/2.47 # User time : 0.051 s
% 7.71/2.47 # System time : 0.009 s
% 7.71/2.47 # Total time : 0.060 s
% 7.71/2.47 # Maximum resident set size: 7132 pages
% 7.71/2.47
%------------------------------------------------------------------------------