TSTP Solution File: SWC419+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC419+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 20:15:35 EDT 2022
% Result : Theorem 7.80s 2.41s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of clauses : 54 ( 21 unt; 0 nHn; 54 RR)
% Number of literals : 127 ( 37 equ; 78 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_197,negated_conjecture,
neq(esk49_0,nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_197) ).
cnf(i_0_199,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_199) ).
cnf(i_0_191,negated_conjecture,
( app(esk53_0,cons(esk52_0,nil)) = esk50_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_191) ).
cnf(i_0_198,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_198) ).
cnf(i_0_193,negated_conjecture,
( ssList(esk53_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_193) ).
cnf(i_0_113,plain,
( frontsegP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_113) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_58) ).
cnf(i_0_153,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_153) ).
cnf(i_0_194,negated_conjecture,
( ssItem(esk52_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_194) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_43) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_44) ).
cnf(i_0_201,negated_conjecture,
ssList(esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_201) ).
cnf(i_0_114,plain,
( app(X1,esk32_2(X2,X1)) = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_114) ).
cnf(i_0_196,negated_conjecture,
( app(app(X1,cons(X2,nil)),X3) != esk48_0
| app(app(X3,cons(X2,nil)),X1) != esk49_0
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_196) ).
cnf(i_0_115,plain,
( ssList(esk32_2(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_115) ).
cnf(i_0_60,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_60) ).
cnf(i_0_192,negated_conjecture,
( app(cons(esk52_0,nil),esk53_0) = esk51_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_192) ).
cnf(i_0_159,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3g9wzyfu/lgb.p',i_0_159) ).
cnf(c_0_220,negated_conjecture,
neq(esk49_0,nil),
i_0_197 ).
cnf(c_0_221,negated_conjecture,
esk49_0 = esk51_0,
i_0_199 ).
cnf(c_0_222,negated_conjecture,
( app(esk53_0,cons(esk52_0,nil)) = esk50_0
| ~ neq(esk51_0,nil) ),
i_0_191 ).
cnf(c_0_223,negated_conjecture,
esk50_0 = esk48_0,
i_0_198 ).
cnf(c_0_224,negated_conjecture,
neq(esk51_0,nil),
inference(rw,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_225,negated_conjecture,
( ssList(esk53_0)
| ~ neq(esk51_0,nil) ),
i_0_193 ).
cnf(c_0_226,plain,
( frontsegP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
i_0_113 ).
cnf(c_0_227,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_228,plain,
( X1 = X2
| app(X3,X1) != app(X3,X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
i_0_153 ).
cnf(c_0_229,negated_conjecture,
app(esk53_0,cons(esk52_0,nil)) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_223]),c_0_224])]) ).
cnf(c_0_230,negated_conjecture,
ssList(esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_224])]) ).
cnf(c_0_231,negated_conjecture,
( ssItem(esk52_0)
| ~ neq(esk51_0,nil) ),
i_0_194 ).
cnf(c_0_232,plain,
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_226]),c_0_227]) ).
cnf(c_0_233,negated_conjecture,
( X1 = cons(esk52_0,nil)
| app(esk53_0,X1) != esk48_0
| ~ ssList(cons(esk52_0,nil))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_230])]) ).
cnf(c_0_234,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_235,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_236,negated_conjecture,
ssItem(esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_224])]) ).
cnf(c_0_237,negated_conjecture,
( frontsegP(esk48_0,esk53_0)
| ~ ssList(cons(esk52_0,nil)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_229]),c_0_230])]) ).
cnf(c_0_238,negated_conjecture,
ssList(esk50_0),
i_0_201 ).
cnf(c_0_239,plain,
( X1 = cons(esk52_0,nil)
| app(esk53_0,X1) != esk48_0
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]),c_0_236])]) ).
cnf(c_0_240,plain,
( app(X1,esk32_2(X2,X1)) = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X2,X1) ),
i_0_114 ).
cnf(c_0_241,plain,
frontsegP(esk48_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_234]),c_0_235]),c_0_236])]) ).
cnf(c_0_242,negated_conjecture,
ssList(esk48_0),
inference(rw,[status(thm)],[c_0_238,c_0_223]) ).
cnf(c_0_243,negated_conjecture,
( app(app(X1,cons(X2,nil)),X3) != esk48_0
| app(app(X3,cons(X2,nil)),X1) != esk49_0
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
i_0_196 ).
cnf(c_0_244,plain,
( esk32_2(esk48_0,esk53_0) = cons(esk52_0,nil)
| ~ ssList(esk32_2(esk48_0,esk53_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_230])])]),c_0_241]),c_0_242])]) ).
cnf(c_0_245,plain,
( ssList(esk32_2(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ frontsegP(X1,X2) ),
i_0_115 ).
cnf(c_0_246,negated_conjecture,
( app(app(X1,cons(X2,nil)),X3) != esk51_0
| app(app(X3,cons(X2,nil)),X1) != esk48_0
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X2) ),
inference(rw,[status(thm)],[c_0_243,c_0_221]) ).
cnf(c_0_247,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_60 ).
cnf(c_0_248,negated_conjecture,
( app(cons(esk52_0,nil),esk53_0) = esk51_0
| ~ neq(esk51_0,nil) ),
i_0_192 ).
cnf(c_0_249,plain,
esk32_2(esk48_0,esk53_0) = 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_244,c_0_245]),c_0_241]),c_0_230]),c_0_242])]) ).
cnf(c_0_250,plain,
( app(app(X1,cons(X2,nil)),nil) != esk48_0
| app(cons(X2,nil),X1) != esk51_0
| ~ ssList(cons(X2,nil))
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_235])]) ).
cnf(c_0_251,negated_conjecture,
app(cons(esk52_0,nil),esk53_0) = esk51_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_224])]) ).
cnf(c_0_252,plain,
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_245,c_0_249]),c_0_241]),c_0_230]),c_0_242])]) ).
cnf(c_0_253,negated_conjecture,
app(esk48_0,nil) != esk48_0,
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_250,c_0_229]),c_0_251]),c_0_252]),c_0_230]),c_0_236])]) ).
cnf(c_0_254,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_159 ).
cnf(c_0_255,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_242])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC419+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n022.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 : Sat Jun 11 20:59:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.44 # ENIGMATIC: Selected SinE mode:
% 0.20/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.80/2.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.80/2.41 # No SInE strategy applied
% 7.80/2.41 # Trying AutoSched0 for 150 seconds
% 7.80/2.41 # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 7.80/2.41 # and selection function SelectMaxLComplexAvoidPosPred.
% 7.80/2.41 #
% 7.80/2.41 # Preprocessing time : 0.014 s
% 7.80/2.41
% 7.80/2.41 # Proof found!
% 7.80/2.41 # SZS status Theorem
% 7.80/2.41 # SZS output start CNFRefutation
% See solution above
% 7.80/2.41 # Training examples: 0 positive, 0 negative
% 7.80/2.41
% 7.80/2.41 # -------------------------------------------------
% 7.80/2.41 # User time : 0.035 s
% 7.80/2.41 # System time : 0.005 s
% 7.80/2.41 # Total time : 0.040 s
% 7.80/2.41 # Maximum resident set size: 7124 pages
% 7.80/2.41
%------------------------------------------------------------------------------