TSTP Solution File: SWC316+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC316+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 20:14:56 EDT 2022
% Result : Theorem 8.00s 2.43s
% Output : CNFRefutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of clauses : 53 ( 22 unt; 4 nHn; 53 RR)
% Number of literals : 133 ( 40 equ; 86 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_202,negated_conjecture,
neq(esk49_0,nil),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_202) ).
cnf(i_0_204,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_204) ).
cnf(i_0_195,negated_conjecture,
( app(cons(esk52_0,nil),esk53_0) = esk50_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_195) ).
cnf(i_0_203,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_203) ).
cnf(i_0_197,negated_conjecture,
( ssList(esk53_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_197) ).
cnf(i_0_199,negated_conjecture,
( ssItem(esk52_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_199) ).
cnf(i_0_191,negated_conjecture,
( esk49_0 != X1
| hd(esk48_0) != X2
| tl(esk48_0) != X3
| app(X3,X4) != X1
| cons(X2,nil) != X4
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ neq(nil,esk48_0)
| ~ neq(esk48_0,nil)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_191) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_58) ).
cnf(i_0_206,negated_conjecture,
ssList(esk50_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_206) ).
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-8p7uyk8v/lgb.p',i_0_154) ).
cnf(i_0_56,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_56) ).
cnf(i_0_55,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_55) ).
cnf(i_0_53,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_53) ).
cnf(i_0_57,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_57) ).
cnf(i_0_193,negated_conjecture,
( app(esk53_0,cons(esk52_0,nil)) = esk51_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_193) ).
cnf(i_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_41) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_44) ).
cnf(i_0_43,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8p7uyk8v/lgb.p',i_0_43) ).
cnf(c_0_225,negated_conjecture,
neq(esk49_0,nil),
i_0_202 ).
cnf(c_0_226,negated_conjecture,
esk49_0 = esk51_0,
i_0_204 ).
cnf(c_0_227,negated_conjecture,
( app(cons(esk52_0,nil),esk53_0) = esk50_0
| ~ neq(esk51_0,nil) ),
i_0_195 ).
cnf(c_0_228,negated_conjecture,
esk50_0 = esk48_0,
i_0_203 ).
cnf(c_0_229,negated_conjecture,
neq(esk51_0,nil),
inference(rw,[status(thm)],[c_0_225,c_0_226]) ).
cnf(c_0_230,negated_conjecture,
( ssList(esk53_0)
| ~ neq(esk51_0,nil) ),
i_0_197 ).
cnf(c_0_231,negated_conjecture,
( ssItem(esk52_0)
| ~ neq(esk51_0,nil) ),
i_0_199 ).
cnf(c_0_232,negated_conjecture,
( esk49_0 != X1
| hd(esk48_0) != X2
| tl(esk48_0) != X3
| app(X3,X4) != X1
| cons(X2,nil) != X4
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ neq(nil,esk48_0)
| ~ neq(esk48_0,nil)
| ~ neq(esk51_0,nil) ),
i_0_191 ).
cnf(c_0_233,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_234,negated_conjecture,
ssList(esk50_0),
i_0_206 ).
cnf(c_0_235,negated_conjecture,
app(cons(esk52_0,nil),esk53_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_228]),c_0_229])]) ).
cnf(c_0_236,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_237,negated_conjecture,
ssList(esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_229])]) ).
cnf(c_0_238,negated_conjecture,
ssItem(esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_229])]) ).
cnf(c_0_239,negated_conjecture,
( app(tl(esk48_0),cons(hd(esk48_0),nil)) != esk51_0
| ~ ssList(cons(hd(esk48_0),nil))
| ~ ssList(tl(esk48_0))
| ~ ssItem(hd(esk48_0))
| ~ neq(nil,esk48_0)
| ~ neq(esk48_0,nil) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_226]),c_0_229])])])])])]),c_0_233]) ).
cnf(c_0_240,plain,
( nil = X1
| ssList(tl(X1))
| ~ ssList(X1) ),
i_0_56 ).
cnf(c_0_241,negated_conjecture,
ssList(esk48_0),
inference(rw,[status(thm)],[c_0_234,c_0_228]) ).
cnf(c_0_242,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_55 ).
cnf(c_0_243,negated_conjecture,
cons(esk52_0,esk53_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_237]),c_0_238])]) ).
cnf(c_0_244,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_53 ).
cnf(c_0_245,negated_conjecture,
( esk48_0 = nil
| app(tl(esk48_0),cons(hd(esk48_0),nil)) != esk51_0
| ~ ssList(cons(hd(esk48_0),nil))
| ~ ssItem(hd(esk48_0))
| ~ neq(nil,esk48_0)
| ~ neq(esk48_0,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_241])]) ).
cnf(c_0_246,plain,
hd(esk48_0) = esk52_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_237]),c_0_238])]) ).
cnf(c_0_247,plain,
esk48_0 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_243]),c_0_237]),c_0_238])]) ).
cnf(c_0_248,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_57 ).
cnf(c_0_249,negated_conjecture,
( app(esk53_0,cons(esk52_0,nil)) = esk51_0
| ~ neq(esk51_0,nil) ),
i_0_193 ).
cnf(c_0_250,negated_conjecture,
( app(tl(esk48_0),cons(esk52_0,nil)) != esk51_0
| ~ ssList(cons(esk52_0,nil))
| ~ neq(nil,esk48_0)
| ~ neq(esk48_0,nil) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246]),c_0_246]),c_0_246]),c_0_238])]),c_0_247]) ).
cnf(c_0_251,plain,
tl(esk48_0) = esk53_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_243]),c_0_237]),c_0_238])]) ).
cnf(c_0_252,negated_conjecture,
app(esk53_0,cons(esk52_0,nil)) = esk51_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_229])]) ).
cnf(c_0_253,negated_conjecture,
( ~ ssList(cons(esk52_0,nil))
| ~ neq(nil,esk48_0)
| ~ neq(esk48_0,nil) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_251]),c_0_252])]) ).
cnf(c_0_254,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_255,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_256,plain,
( ~ ssList(cons(esk52_0,nil))
| ~ neq(esk48_0,nil) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_241]),c_0_255])]),c_0_247]) ).
cnf(c_0_257,plain,
~ ssList(cons(esk52_0,nil)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_254]),c_0_255]),c_0_241])]),c_0_247]) ).
cnf(c_0_258,plain,
( ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_43 ).
cnf(c_0_259,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_258]),c_0_255]),c_0_238])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC316+1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 18:27:50 EDT 2022
% 0.21/0.35 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected SinE mode:
% 0.21/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.00/2.43 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.00/2.43 # No SInE strategy applied
% 8.00/2.43 # Trying AutoSched0 for 150 seconds
% 8.00/2.43 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 8.00/2.43 # and selection function SelectNewComplexAHP.
% 8.00/2.43 #
% 8.00/2.43 # Preprocessing time : 0.024 s
% 8.00/2.43 # Presaturation interreduction done
% 8.00/2.43
% 8.00/2.43 # Proof found!
% 8.00/2.43 # SZS status Theorem
% 8.00/2.43 # SZS output start CNFRefutation
% See solution above
% 8.00/2.43 # Training examples: 0 positive, 0 negative
% 8.00/2.43
% 8.00/2.43 # -------------------------------------------------
% 8.00/2.43 # User time : 0.035 s
% 8.00/2.43 # System time : 0.005 s
% 8.00/2.43 # Total time : 0.040 s
% 8.00/2.43 # Maximum resident set size: 7120 pages
% 8.00/2.43
%------------------------------------------------------------------------------