%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC253+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n008.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 20:14:34 EDT 2022
% Result : Theorem 7.77s 2.40s
% Output : CNFRefutation 7.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of clauses : 72 ( 19 unt; 23 nHn; 72 RR)
% Number of literals : 199 ( 80 equ; 108 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_196,negated_conjecture,
neq(esk49_0,nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_196) ).
cnf(i_0_198,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_198) ).
cnf(i_0_193,negated_conjecture,
( esk51_0 = X1
| tl(esk51_0) != X2
| app(esk50_0,X2) != X1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(nil,esk51_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_193) ).
cnf(i_0_197,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_197) ).
cnf(i_0_201,negated_conjecture,
ssList(esk49_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_201) ).
cnf(i_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_41) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_44) ).
cnf(i_0_56,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_56) ).
cnf(i_0_200,negated_conjecture,
ssList(esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_200) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_58) ).
cnf(i_0_161,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_161) ).
cnf(i_0_148,plain,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_148) ).
cnf(i_0_60,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_60) ).
cnf(i_0_98,plain,
( singletonP(X1)
| cons(X2,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_98) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_43) ).
cnf(i_0_147,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_147) ).
cnf(i_0_191,negated_conjecture,
( ~ singletonP(esk48_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_191) ).
cnf(i_0_45,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_45) ).
cnf(i_0_59,plain,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_59) ).
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-nw4_um8x/lgb.p',i_0_154) ).
cnf(i_0_54,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_54) ).
cnf(i_0_42,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-nw4_um8x/lgb.p',i_0_42) ).
cnf(c_0_224,negated_conjecture,
neq(esk49_0,nil),
i_0_196 ).
cnf(c_0_225,negated_conjecture,
esk49_0 = esk51_0,
i_0_198 ).
cnf(c_0_226,negated_conjecture,
( esk51_0 = X1
| tl(esk51_0) != X2
| app(esk50_0,X2) != X1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(nil,esk51_0)
| ~ neq(esk51_0,nil) ),
i_0_193 ).
cnf(c_0_227,negated_conjecture,
esk50_0 = esk48_0,
i_0_197 ).
cnf(c_0_228,negated_conjecture,
neq(esk51_0,nil),
inference(rw,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_229,negated_conjecture,
ssList(esk49_0),
i_0_201 ).
cnf(c_0_230,negated_conjecture,
( app(esk48_0,tl(esk51_0)) = esk51_0
| ~ neq(nil,esk51_0)
| ~ ssList(app(esk48_0,tl(esk51_0)))
| ~ ssList(tl(esk51_0)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227]),c_0_228])])])]) ).
cnf(c_0_231,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_232,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_229,c_0_225]) ).
cnf(c_0_233,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_234,negated_conjecture,
( app(esk48_0,tl(esk51_0)) = esk51_0
| esk51_0 = nil
| ~ ssList(app(esk48_0,tl(esk51_0)))
| ~ ssList(tl(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]),c_0_233])]) ).
cnf(c_0_235,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
i_0_56 ).
cnf(c_0_236,negated_conjecture,
ssList(esk50_0),
i_0_200 ).
cnf(c_0_237,plain,
( app(esk48_0,tl(esk51_0)) = esk51_0
| esk51_0 = nil
| ~ ssList(app(esk48_0,tl(esk51_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_232])]) ).
cnf(c_0_238,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_239,negated_conjecture,
ssList(esk48_0),
inference(rw,[status(thm)],[c_0_236,c_0_227]) ).
cnf(c_0_240,plain,
( app(esk48_0,tl(esk51_0)) = esk51_0
| esk51_0 = nil
| ~ ssList(tl(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239])]) ).
cnf(c_0_241,plain,
( nil = X1
| tl(app(X1,X2)) = app(tl(X1),X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_161 ).
cnf(c_0_242,plain,
( app(esk48_0,tl(esk51_0)) = esk51_0
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_235]),c_0_232])]) ).
cnf(c_0_243,plain,
( X1 = X2
| app(X1,X3) != app(X2,X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
i_0_148 ).
cnf(c_0_244,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_60 ).
cnf(c_0_245,plain,
( app(tl(esk48_0),tl(esk51_0)) = tl(esk51_0)
| esk51_0 = nil
| esk48_0 = nil
| ~ ssList(tl(esk51_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_239])]) ).
cnf(c_0_246,plain,
( X1 = nil
| app(X1,X2) != X2
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_233])]) ).
cnf(c_0_247,plain,
( app(tl(esk48_0),tl(esk51_0)) = tl(esk51_0)
| esk48_0 = nil
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_235]),c_0_232])]) ).
cnf(c_0_248,plain,
( tl(esk48_0) = nil
| esk51_0 = nil
| esk48_0 = nil
| ~ ssList(tl(esk51_0))
| ~ ssList(tl(esk48_0)) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]) ).
cnf(c_0_249,plain,
( singletonP(X1)
| cons(X2,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
i_0_98 ).
cnf(c_0_250,plain,
( tl(esk48_0) = nil
| esk48_0 = nil
| esk51_0 = nil
| ~ ssList(tl(esk48_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_235]),c_0_232])]) ).
cnf(c_0_251,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_249]) ).
cnf(c_0_252,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_253,plain,
( nil = X1
| cons(hd(X1),tl(X1)) = X1
| ~ ssList(X1) ),
i_0_147 ).
cnf(c_0_254,plain,
( tl(esk48_0) = nil
| esk51_0 = nil
| esk48_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_235]),c_0_239])]) ).
cnf(c_0_255,negated_conjecture,
( ~ singletonP(esk48_0)
| ~ neq(esk51_0,nil) ),
i_0_191 ).
cnf(c_0_256,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_45 ).
cnf(c_0_257,plain,
( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
i_0_59 ).
cnf(c_0_258,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_233])]) ).
cnf(c_0_259,plain,
( cons(hd(esk48_0),nil) = esk48_0
| esk51_0 = nil
| esk48_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_239])]) ).
cnf(c_0_260,negated_conjecture,
~ singletonP(esk48_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_228])]) ).
cnf(c_0_261,plain,
( app(cons(X1,X2),X3) != app(X2,X3)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_238]) ).
cnf(c_0_262,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_263,plain,
( esk48_0 = nil
| esk51_0 = nil
| ~ ssItem(hd(esk48_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]) ).
cnf(c_0_264,plain,
( nil = X1
| ssItem(hd(X1))
| ~ ssList(X1) ),
i_0_54 ).
cnf(c_0_265,plain,
( cons(X1,X2) != app(nil,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_233])]) ).
cnf(c_0_266,plain,
( esk51_0 = nil
| esk48_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_239])]) ).
cnf(c_0_267,plain,
( nil = X1
| app(nil,tl(X1)) != X1
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_253]),c_0_235]),c_0_264]) ).
cnf(c_0_268,plain,
( app(nil,tl(esk51_0)) = esk51_0
| esk51_0 = nil ),
inference(spm,[status(thm)],[c_0_242,c_0_266]) ).
cnf(c_0_269,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
i_0_42 ).
cnf(c_0_270,plain,
esk51_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_232])]) ).
cnf(c_0_271,plain,
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_269]) ).
cnf(c_0_272,negated_conjecture,
neq(nil,nil),
inference(rw,[status(thm)],[c_0_228,c_0_270]) ).
cnf(c_0_273,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_233])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC253+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n008.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 : Sun Jun 12 11:09:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.77/2.40 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.77/2.40 # No SInE strategy applied
% 7.77/2.40 # Trying AutoSched0 for 150 seconds
% 7.77/2.40 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.77/2.40 # and selection function SelectNewComplexAHP.
% 7.77/2.40 #
% 7.77/2.40 # Preprocessing time : 0.025 s
% 7.77/2.40 # Presaturation interreduction done
% 7.77/2.40
% 7.77/2.40 # Proof found!
% 7.77/2.40 # SZS status Theorem
% 7.77/2.40 # SZS output start CNFRefutation
% See solution above
% 7.77/2.40 # Training examples: 0 positive, 0 negative
% 7.77/2.40
% 7.77/2.40 # -------------------------------------------------
% 7.77/2.40 # User time : 0.067 s
% 7.77/2.40 # System time : 0.005 s
% 7.77/2.40 # Total time : 0.072 s
% 7.77/2.40 # Maximum resident set size: 7124 pages
% 7.77/2.40
%------------------------------------------------------------------------------