TSTP Solution File: SWC002+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC002+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 20:12:59 EDT 2022
% Result : Theorem 8.79s 2.52s
% Output : CNFRefutation 8.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 44 ( 16 unt; 0 nHn; 44 RR)
% Number of literals : 139 ( 44 equ; 98 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_207,negated_conjecture,
( memberP(esk49_0,esk52_3(X1,X2,X3))
| app(X2,X3) != esk48_0
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_207) ).
cnf(i_0_214,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_214) ).
cnf(i_0_212,negated_conjecture,
neq(esk49_0,nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_212) ).
cnf(i_0_193,negated_conjecture,
( app(esk54_0,esk55_0) = esk50_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_193) ).
cnf(i_0_213,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_213) ).
cnf(i_0_197,negated_conjecture,
( ssList(esk55_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_197) ).
cnf(i_0_199,negated_conjecture,
( ssList(esk54_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_199) ).
cnf(i_0_205,negated_conjecture,
( geq(esk52_3(X1,X2,X3),X1)
| app(X2,X3) != esk48_0
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_205) ).
cnf(i_0_209,negated_conjecture,
( ssItem(esk52_3(X1,X2,X3))
| app(X2,X3) != esk48_0
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_209) ).
cnf(i_0_195,negated_conjecture,
( app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk51_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_195) ).
cnf(i_0_201,negated_conjecture,
( ssItem(esk53_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_201) ).
cnf(i_0_191,negated_conjecture,
( esk53_0 = X1
| ~ ssItem(X1)
| ~ geq(X1,esk53_0)
| ~ memberP(esk51_0,X1)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_191) ).
cnf(i_0_203,negated_conjecture,
( esk52_3(X1,X2,X3) != X1
| app(X2,X3) != esk48_0
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lwjuk2_p/lgb.p',i_0_203) ).
cnf(c_0_228,negated_conjecture,
( memberP(esk49_0,esk52_3(X1,X2,X3))
| app(X2,X3) != esk48_0
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ neq(esk51_0,nil) ),
i_0_207 ).
cnf(c_0_229,negated_conjecture,
esk49_0 = esk51_0,
i_0_214 ).
cnf(c_0_230,negated_conjecture,
neq(esk49_0,nil),
i_0_212 ).
cnf(c_0_231,negated_conjecture,
( app(esk54_0,esk55_0) = esk50_0
| ~ neq(esk51_0,nil) ),
i_0_193 ).
cnf(c_0_232,negated_conjecture,
esk50_0 = esk48_0,
i_0_213 ).
cnf(c_0_233,negated_conjecture,
( ssList(esk55_0)
| ~ neq(esk51_0,nil) ),
i_0_197 ).
cnf(c_0_234,negated_conjecture,
( ssList(esk54_0)
| ~ neq(esk51_0,nil) ),
i_0_199 ).
cnf(c_0_235,negated_conjecture,
( geq(esk52_3(X1,X2,X3),X1)
| app(X2,X3) != esk48_0
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ neq(esk51_0,nil) ),
i_0_205 ).
cnf(c_0_236,negated_conjecture,
( ssItem(esk52_3(X1,X2,X3))
| app(X2,X3) != esk48_0
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ neq(esk51_0,nil) ),
i_0_209 ).
cnf(c_0_237,negated_conjecture,
( memberP(esk49_0,esk52_3(X1,X2,X3))
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| app(X2,X3) != esk48_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229]),c_0_230])]) ).
cnf(c_0_238,negated_conjecture,
app(esk54_0,esk55_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_232]),c_0_229]),c_0_230])]) ).
cnf(c_0_239,negated_conjecture,
ssList(esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_229]),c_0_230])]) ).
cnf(c_0_240,negated_conjecture,
ssList(esk54_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_229]),c_0_230])]) ).
cnf(c_0_241,negated_conjecture,
( app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk51_0
| ~ neq(esk51_0,nil) ),
i_0_195 ).
cnf(c_0_242,negated_conjecture,
( ssItem(esk53_0)
| ~ neq(esk51_0,nil) ),
i_0_201 ).
cnf(c_0_243,negated_conjecture,
( geq(esk52_3(X1,X2,X3),X1)
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| app(X2,X3) != esk48_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_229]),c_0_230])]) ).
cnf(c_0_244,negated_conjecture,
( ssItem(esk52_3(X1,X2,X3))
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| app(X2,X3) != esk48_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_229]),c_0_230])]) ).
cnf(c_0_245,negated_conjecture,
( esk53_0 = X1
| ~ ssItem(X1)
| ~ geq(X1,esk53_0)
| ~ memberP(esk51_0,X1)
| ~ neq(esk51_0,nil) ),
i_0_191 ).
cnf(c_0_246,negated_conjecture,
( memberP(esk49_0,esk52_3(X1,esk54_0,esk55_0))
| app(app(esk54_0,cons(X1,nil)),esk55_0) != esk49_0
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]),c_0_240])]) ).
cnf(c_0_247,negated_conjecture,
app(app(esk54_0,cons(esk53_0,nil)),esk55_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_229]),c_0_229]),c_0_230])]) ).
cnf(c_0_248,negated_conjecture,
ssItem(esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_229]),c_0_230])]) ).
cnf(c_0_249,negated_conjecture,
( geq(esk52_3(X1,esk54_0,esk55_0),X1)
| app(app(esk54_0,cons(X1,nil)),esk55_0) != esk49_0
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_238]),c_0_239]),c_0_240])]) ).
cnf(c_0_250,negated_conjecture,
( ssItem(esk52_3(X1,esk54_0,esk55_0))
| app(app(esk54_0,cons(X1,nil)),esk55_0) != esk49_0
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_238]),c_0_239]),c_0_240])]) ).
cnf(c_0_251,negated_conjecture,
( esk52_3(X1,X2,X3) != X1
| app(X2,X3) != esk48_0
| app(app(X2,cons(X1,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ neq(esk51_0,nil) ),
i_0_203 ).
cnf(c_0_252,negated_conjecture,
( esk53_0 = X1
| ~ memberP(esk49_0,X1)
| ~ geq(X1,esk53_0)
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_229]),c_0_229]),c_0_230])]) ).
cnf(c_0_253,negated_conjecture,
memberP(esk49_0,esk52_3(esk53_0,esk54_0,esk55_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248])]) ).
cnf(c_0_254,negated_conjecture,
geq(esk52_3(esk53_0,esk54_0,esk55_0),esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_247]),c_0_248])]) ).
cnf(c_0_255,negated_conjecture,
ssItem(esk52_3(esk53_0,esk54_0,esk55_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_247]),c_0_248])]) ).
cnf(c_0_256,negated_conjecture,
( app(app(X1,cons(X2,nil)),X3) != esk49_0
| app(X1,X3) != esk48_0
| esk52_3(X2,X1,X3) != X2
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_229]),c_0_230])]) ).
cnf(c_0_257,negated_conjecture,
esk52_3(esk53_0,esk54_0,esk55_0) = esk53_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]),c_0_255])]) ).
cnf(c_0_258,negated_conjecture,
$false,
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(spm,[status(thm)],[c_0_256,c_0_257]),c_0_247]),c_0_238]),c_0_239]),c_0_240]),c_0_248])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC002+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n024.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 11:34:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.45 # 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
% 8.79/2.52 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.79/2.52 # No SInE strategy applied
% 8.79/2.52 # Trying AutoSched0 for 150 seconds
% 8.79/2.52 # AutoSched0-Mode selected heuristic G_E___208_B07_F1_SE_CS_SP_PS_S4d
% 8.79/2.52 # and selection function SelectCQIPrecWNTNp.
% 8.79/2.52 #
% 8.79/2.52 # Preprocessing time : 0.024 s
% 8.79/2.52 # Presaturation interreduction done
% 8.79/2.52
% 8.79/2.52 # Proof found!
% 8.79/2.52 # SZS status Theorem
% 8.79/2.52 # SZS output start CNFRefutation
% See solution above
% 8.79/2.52 # Training examples: 0 positive, 0 negative
% 8.79/2.52
% 8.79/2.52 # -------------------------------------------------
% 8.79/2.52 # User time : 0.032 s
% 8.79/2.52 # System time : 0.007 s
% 8.79/2.52 # Total time : 0.039 s
% 8.79/2.52 # Maximum resident set size: 7128 pages
% 8.79/2.52
%------------------------------------------------------------------------------