TSTP Solution File: SWC192+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC192+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 20:14:12 EDT 2022
% Result : Theorem 9.40s 2.61s
% Output : CNFRefutation 9.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of clauses : 76 ( 26 unt; 8 nHn; 76 RR)
% Number of literals : 190 ( 60 equ; 113 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_157,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_157) ).
cnf(i_0_198,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_198) ).
cnf(i_0_199,negated_conjecture,
ssList(esk55_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_199) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_58) ).
cnf(i_0_158,plain,
( nil = X1
| app(X2,X1) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_158) ).
cnf(i_0_200,negated_conjecture,
ssList(esk54_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_200) ).
cnf(i_0_155,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_155) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_43) ).
cnf(i_0_201,negated_conjecture,
ssItem(esk53_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_201) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_44) ).
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/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/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/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_154) ).
cnf(i_0_202,negated_conjecture,
ssItem(esk52_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_202) ).
cnf(i_0_208,negated_conjecture,
ssList(esk48_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_208) ).
cnf(i_0_193,negated_conjecture,
( esk50_0 = nil
| cons(esk56_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_193) ).
cnf(i_0_203,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_203) ).
cnf(i_0_53,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_53) ).
cnf(i_0_195,negated_conjecture,
( esk50_0 = nil
| ssItem(esk56_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_195) ).
cnf(i_0_78,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_78) ).
cnf(i_0_79,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_79) ).
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-5zrn5a8a/lgb.p',i_0_59) ).
cnf(i_0_197,negated_conjecture,
esk53_0 != esk52_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5zrn5a8a/lgb.p',i_0_197) ).
cnf(c_0_231,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_157 ).
cnf(c_0_232,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
i_0_198 ).
cnf(c_0_233,negated_conjecture,
ssList(esk55_0),
i_0_199 ).
cnf(c_0_234,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)) = nil
| nil != esk48_0
| ~ ssList(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233])]) ).
cnf(c_0_235,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_236,plain,
( nil = X1
| app(X2,X1) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_158 ).
cnf(c_0_237,plain,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)) = nil
| nil != esk48_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_238,plain,
( cons(esk53_0,nil) = nil
| nil != esk48_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_239,negated_conjecture,
ssList(esk54_0),
i_0_200 ).
cnf(c_0_240,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_241,plain,
( cons(esk53_0,nil) = nil
| nil != esk48_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_235]),c_0_239])]) ).
cnf(c_0_242,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_243,negated_conjecture,
ssItem(esk53_0),
i_0_201 ).
cnf(c_0_244,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_245,plain,
( memberP(X1,X2)
| app(X3,cons(X2,X4)) != X1
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2) ),
i_0_81 ).
cnf(c_0_246,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk53_0,nil),esk55_0)) = esk48_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_240]),c_0_233])]) ).
cnf(c_0_247,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_248,plain,
( cons(esk53_0,nil) = nil
| nil != esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]),c_0_244])]) ).
cnf(c_0_249,negated_conjecture,
ssItem(esk52_0),
i_0_202 ).
cnf(c_0_250,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_245]) ).
cnf(c_0_251,plain,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,esk55_0)) = esk48_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_243]),c_0_233])]) ).
cnf(c_0_252,negated_conjecture,
ssList(esk48_0),
i_0_208 ).
cnf(c_0_253,negated_conjecture,
( esk50_0 = nil
| cons(esk56_0,nil) = esk50_0 ),
i_0_193 ).
cnf(c_0_254,negated_conjecture,
esk50_0 = esk48_0,
i_0_203 ).
cnf(c_0_255,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_53 ).
cnf(c_0_256,plain,
( cons(esk53_0,nil) = nil
| nil != esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_242]),c_0_249]),c_0_244])]) ).
cnf(c_0_257,negated_conjecture,
( esk50_0 = nil
| ssItem(esk56_0) ),
i_0_195 ).
cnf(c_0_258,plain,
( memberP(esk48_0,esk53_0)
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_243]),c_0_252]),c_0_233])]) ).
cnf(c_0_259,negated_conjecture,
( cons(esk56_0,nil) = esk48_0
| nil = esk48_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_254]),c_0_254]) ).
cnf(c_0_260,plain,
nil != esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_243]),c_0_244])]) ).
cnf(c_0_261,negated_conjecture,
( nil = esk48_0
| ssItem(esk56_0) ),
inference(rw,[status(thm)],[c_0_257,c_0_254]) ).
cnf(c_0_262,plain,
( memberP(esk48_0,esk53_0)
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_235]),c_0_239])]) ).
cnf(c_0_263,plain,
( X1 = X2
| memberP(X3,X2)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(cons(X1,X3),X2) ),
i_0_78 ).
cnf(c_0_264,negated_conjecture,
cons(esk56_0,nil) = esk48_0,
inference(sr,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_265,negated_conjecture,
ssItem(esk56_0),
inference(sr,[status(thm)],[c_0_261,c_0_260]) ).
cnf(c_0_266,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
i_0_79 ).
cnf(c_0_267,plain,
( memberP(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_262,c_0_242]),c_0_243]),c_0_244])]) ).
cnf(c_0_268,plain,
( esk56_0 = X1
| ~ memberP(esk48_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_263,c_0_264]),c_0_265]),c_0_244])]),c_0_266]) ).
cnf(c_0_269,plain,
memberP(esk48_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_242]),c_0_249]),c_0_244])]) ).
cnf(c_0_270,negated_conjecture,
( app(app(esk54_0,app(cons(esk52_0,nil),cons(esk53_0,nil))),esk55_0) = esk48_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_240]),c_0_239])]) ).
cnf(c_0_271,plain,
esk56_0 = esk53_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_243])]) ).
cnf(c_0_272,plain,
( app(app(esk54_0,cons(esk52_0,cons(esk53_0,nil))),esk55_0) = esk48_0
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_247]),c_0_249])]) ).
cnf(c_0_273,negated_conjecture,
cons(esk53_0,nil) = esk48_0,
inference(rw,[status(thm)],[c_0_264,c_0_271]) ).
cnf(c_0_274,plain,
( app(app(esk54_0,cons(esk52_0,esk48_0)),esk55_0) = esk48_0
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_273]),c_0_273]),c_0_252])]) ).
cnf(c_0_275,plain,
( app(esk54_0,app(cons(esk52_0,esk48_0),esk55_0)) = esk48_0
| ~ ssList(cons(esk52_0,esk48_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_274]),c_0_233]),c_0_239])]) ).
cnf(c_0_276,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
i_0_59 ).
cnf(c_0_277,plain,
( app(esk54_0,cons(esk52_0,app(esk48_0,esk55_0))) = esk48_0
| ~ ssList(cons(esk52_0,esk48_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_276]),c_0_249]),c_0_233]),c_0_252])]) ).
cnf(c_0_278,plain,
( memberP(esk48_0,esk52_0)
| ~ ssList(app(esk48_0,esk55_0))
| ~ ssList(cons(esk52_0,esk48_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_250,c_0_277]),c_0_249]),c_0_252]),c_0_239])]) ).
cnf(c_0_279,plain,
( memberP(esk48_0,esk52_0)
| ~ ssList(cons(esk52_0,esk48_0))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_235]),c_0_233]),c_0_252])]) ).
cnf(c_0_280,plain,
( memberP(esk48_0,esk52_0)
| ~ ssList(cons(esk52_0,esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_242]),c_0_249]),c_0_244])]) ).
cnf(c_0_281,plain,
( esk53_0 = X1
| ~ memberP(esk48_0,X1)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_268,c_0_271]) ).
cnf(c_0_282,plain,
memberP(esk48_0,esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_242]),c_0_249]),c_0_252])]) ).
cnf(c_0_283,negated_conjecture,
esk53_0 != esk52_0,
i_0_197 ).
cnf(c_0_284,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282]),c_0_249])]),c_0_283]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC192+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 12 02:04:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.40/2.61 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.40/2.61 # No SInE strategy applied
% 9.40/2.61 # Trying AutoSched0 for 150 seconds
% 9.40/2.61 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 9.40/2.61 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.40/2.61 #
% 9.40/2.61 # Preprocessing time : 0.025 s
% 9.40/2.61
% 9.40/2.61 # Proof found!
% 9.40/2.61 # SZS status Theorem
% 9.40/2.61 # SZS output start CNFRefutation
% See solution above
% 9.40/2.61 # Training examples: 0 positive, 0 negative
% 9.40/2.61
% 9.40/2.61 # -------------------------------------------------
% 9.40/2.61 # User time : 0.072 s
% 9.40/2.61 # System time : 0.009 s
% 9.40/2.61 # Total time : 0.081 s
% 9.40/2.61 # Maximum resident set size: 7124 pages
% 9.40/2.61
%------------------------------------------------------------------------------