TSTP Solution File: SWC165+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC165+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 20:14:01 EDT 2022
% Result : Theorem 9.54s 2.66s
% Output : CNFRefutation 9.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of clauses : 62 ( 26 unt; 8 nHn; 62 RR)
% Number of literals : 151 ( 50 equ; 91 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_206,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_206) ).
cnf(i_0_211,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_211) ).
cnf(i_0_157,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_157) ).
cnf(i_0_207,negated_conjecture,
ssList(esk55_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_207) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_58) ).
cnf(i_0_158,plain,
( nil = X1
| app(X2,X1) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_158) ).
cnf(i_0_48,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_48) ).
cnf(i_0_209,negated_conjecture,
ssItem(esk53_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_209) ).
cnf(i_0_208,negated_conjecture,
ssList(esk54_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_208) ).
cnf(i_0_210,negated_conjecture,
ssItem(esk52_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_210) ).
cnf(i_0_205,negated_conjecture,
~ neq(esk52_0,esk53_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_205) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_43) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_44) ).
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-yd2_s358/lgb.p',i_0_155) ).
cnf(i_0_138,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_138) ).
cnf(i_0_197,negated_conjecture,
( esk50_0 = nil
| cons(esk56_0,nil) = esk50_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_197) ).
cnf(i_0_203,negated_conjecture,
( esk50_0 = nil
| ssItem(esk56_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_203) ).
cnf(i_0_45,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_45) ).
cnf(i_0_33,plain,
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X6)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ duplicatefreeP(X6) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_33) ).
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-yd2_s358/lgb.p',i_0_154) ).
cnf(i_0_216,negated_conjecture,
ssList(esk48_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-yd2_s358/lgb.p',i_0_216) ).
cnf(c_0_238,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk48_0,
i_0_206 ).
cnf(c_0_239,negated_conjecture,
esk50_0 = esk48_0,
i_0_211 ).
cnf(c_0_240,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_157 ).
cnf(c_0_241,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)),esk55_0) = esk50_0,
inference(rw,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_242,negated_conjecture,
ssList(esk55_0),
i_0_207 ).
cnf(c_0_243,negated_conjecture,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)) = nil
| esk50_0 != nil
| ~ 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_240,c_0_241]),c_0_242])]) ).
cnf(c_0_244,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_245,plain,
( nil = X1
| app(X2,X1) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_158 ).
cnf(c_0_246,plain,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk53_0,nil)) = nil
| esk50_0 != nil
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(spm,[status(thm)],[c_0_243,c_0_244]) ).
cnf(c_0_247,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
i_0_48 ).
cnf(c_0_248,negated_conjecture,
ssItem(esk53_0),
i_0_209 ).
cnf(c_0_249,plain,
( cons(esk53_0,nil) = nil
| esk50_0 != nil
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk53_0,nil)) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
cnf(c_0_250,negated_conjecture,
ssList(esk54_0),
i_0_208 ).
cnf(c_0_251,negated_conjecture,
( X1 = esk53_0
| neq(X1,esk53_0)
| ~ ssItem(X1) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_252,negated_conjecture,
ssItem(esk52_0),
i_0_210 ).
cnf(c_0_253,negated_conjecture,
~ neq(esk52_0,esk53_0),
i_0_205 ).
cnf(c_0_254,plain,
( cons(esk53_0,nil) = nil
| esk50_0 != nil
| ~ ssList(cons(esk53_0,nil))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_244]),c_0_250])]) ).
cnf(c_0_255,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_256,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_257,negated_conjecture,
esk53_0 = esk52_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253]) ).
cnf(c_0_258,plain,
( cons(esk53_0,nil) = nil
| esk50_0 != nil
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_248]),c_0_256])]) ).
cnf(c_0_259,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_260,negated_conjecture,
app(app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,nil)),esk55_0) = esk50_0,
inference(rw,[status(thm)],[c_0_241,c_0_257]) ).
cnf(c_0_261,plain,
( duplicatefreeP(cons(X1,nil))
| ~ ssItem(X1) ),
i_0_138 ).
cnf(c_0_262,negated_conjecture,
( esk50_0 = nil
| cons(esk56_0,nil) = esk50_0 ),
i_0_197 ).
cnf(c_0_263,negated_conjecture,
( esk50_0 = nil
| ssItem(esk56_0) ),
i_0_203 ).
cnf(c_0_264,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_45 ).
cnf(c_0_265,plain,
( cons(esk53_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_255]),c_0_252]),c_0_256])]) ).
cnf(c_0_266,plain,
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X6)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ duplicatefreeP(X6) ),
i_0_33 ).
cnf(c_0_267,plain,
( app(app(esk54_0,cons(esk52_0,nil)),app(cons(esk52_0,nil),esk55_0)) = esk50_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_242])]) ).
cnf(c_0_268,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_269,negated_conjecture,
( esk50_0 = nil
| duplicatefreeP(esk50_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).
cnf(c_0_270,plain,
esk50_0 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_248]),c_0_256])]) ).
cnf(c_0_271,negated_conjecture,
ssList(esk48_0),
i_0_216 ).
cnf(c_0_272,plain,
( ~ duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4)))
| ~ ssItem(X2)
| ~ ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_266])]) ).
cnf(c_0_273,plain,
( app(app(esk54_0,cons(esk52_0,nil)),cons(esk52_0,esk55_0)) = esk50_0
| ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_252]),c_0_242])]) ).
cnf(c_0_274,negated_conjecture,
duplicatefreeP(esk50_0),
inference(sr,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_275,negated_conjecture,
ssList(esk50_0),
inference(rw,[status(thm)],[c_0_271,c_0_239]) ).
cnf(c_0_276,plain,
( ~ ssList(app(esk54_0,cons(esk52_0,nil)))
| ~ 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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_274]),c_0_252]),c_0_275]),c_0_242]),c_0_256]),c_0_250])]) ).
cnf(c_0_277,plain,
~ ssList(cons(esk52_0,nil)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_244]),c_0_250])]) ).
cnf(c_0_278,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_255]),c_0_252]),c_0_256])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC165+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n022.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 12 12:21:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.47 # Parsing /export/starexec/sandbox2/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
% 9.54/2.66 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.54/2.66 # No SInE strategy applied
% 9.54/2.66 # Trying AutoSched0 for 150 seconds
% 9.54/2.66 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.54/2.66 # and selection function SelectComplexExceptUniqMaxHorn.
% 9.54/2.66 #
% 9.54/2.66 # Preprocessing time : 0.026 s
% 9.54/2.66 # Presaturation interreduction done
% 9.54/2.66
% 9.54/2.66 # Proof found!
% 9.54/2.66 # SZS status Theorem
% 9.54/2.66 # SZS output start CNFRefutation
% See solution above
% 9.54/2.66 # Training examples: 0 positive, 0 negative
% 9.54/2.66
% 9.54/2.66 # -------------------------------------------------
% 9.54/2.66 # User time : 0.098 s
% 9.54/2.66 # System time : 0.010 s
% 9.54/2.66 # Total time : 0.108 s
% 9.54/2.66 # Maximum resident set size: 7124 pages
% 9.54/2.66
%------------------------------------------------------------------------------