TSTP Solution File: SWC315+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC315+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 7.77s 2.41s
% Output : CNFRefutation 7.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of clauses : 73 ( 14 unt; 24 nHn; 73 RR)
% Number of literals : 152 ( 83 equ; 58 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_198,negated_conjecture,
( nil = esk49_0
| app(cons(esk52_0,nil),esk53_0) = esk49_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_198) ).
cnf(i_0_205,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_205) ).
cnf(i_0_202,negated_conjecture,
( nil = esk49_0
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_202) ).
cnf(i_0_200,negated_conjecture,
( nil = esk49_0
| ssList(esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_200) ).
cnf(i_0_192,negated_conjecture,
( app(cons(esk54_0,nil),esk55_0) = esk51_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_192) ).
cnf(i_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_41) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_44) ).
cnf(i_0_206,negated_conjecture,
ssList(esk51_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_206) ).
cnf(i_0_194,negated_conjecture,
( ssItem(esk54_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_194) ).
cnf(i_0_193,negated_conjecture,
( ssList(esk55_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_193) ).
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-c7u_jaev/lgb.p',i_0_154) ).
cnf(i_0_191,negated_conjecture,
( app(esk55_0,cons(esk54_0,nil)) = esk50_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_191) ).
cnf(i_0_204,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_204) ).
cnf(i_0_57,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_57) ).
cnf(i_0_55,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_55) ).
cnf(i_0_196,negated_conjecture,
( nil = esk49_0
| app(esk53_0,cons(esk52_0,nil)) != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_196) ).
cnf(i_0_203,negated_conjecture,
( esk50_0 = nil
| nil != esk51_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_203) ).
cnf(i_0_197,negated_conjecture,
( app(cons(esk52_0,nil),esk53_0) = esk49_0
| nil != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_197) ).
cnf(i_0_53,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_53) ).
cnf(i_0_59,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_59) ).
cnf(i_0_58,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_58) ).
cnf(i_0_199,negated_conjecture,
( ssList(esk53_0)
| nil != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_199) ).
cnf(i_0_201,negated_conjecture,
( ssItem(esk52_0)
| nil != esk48_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-c7u_jaev/lgb.p',i_0_201) ).
cnf(c_0_230,negated_conjecture,
( nil = esk49_0
| app(cons(esk52_0,nil),esk53_0) = esk49_0 ),
i_0_198 ).
cnf(c_0_231,negated_conjecture,
esk49_0 = esk51_0,
i_0_205 ).
cnf(c_0_232,negated_conjecture,
( nil = esk49_0
| ssItem(esk52_0) ),
i_0_202 ).
cnf(c_0_233,negated_conjecture,
( nil = esk49_0
| ssList(esk53_0) ),
i_0_200 ).
cnf(c_0_234,negated_conjecture,
( app(cons(esk54_0,nil),esk55_0) = esk51_0
| ~ neq(esk51_0,nil) ),
i_0_192 ).
cnf(c_0_235,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_236,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_237,negated_conjecture,
ssList(esk51_0),
i_0_206 ).
cnf(c_0_238,negated_conjecture,
( ssItem(esk54_0)
| ~ neq(esk51_0,nil) ),
i_0_194 ).
cnf(c_0_239,negated_conjecture,
( ssList(esk55_0)
| ~ neq(esk51_0,nil) ),
i_0_193 ).
cnf(c_0_240,negated_conjecture,
( app(cons(esk52_0,nil),esk53_0) = esk51_0
| esk51_0 = nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_231]),c_0_231]) ).
cnf(c_0_241,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_242,negated_conjecture,
( esk51_0 = nil
| ssItem(esk52_0) ),
inference(rw,[status(thm)],[c_0_232,c_0_231]) ).
cnf(c_0_243,negated_conjecture,
( esk51_0 = nil
| ssList(esk53_0) ),
inference(rw,[status(thm)],[c_0_233,c_0_231]) ).
cnf(c_0_244,negated_conjecture,
( app(cons(esk54_0,nil),esk55_0) = esk51_0
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]),c_0_237])]) ).
cnf(c_0_245,negated_conjecture,
( esk51_0 = nil
| ssItem(esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_235]),c_0_236]),c_0_237])]) ).
cnf(c_0_246,negated_conjecture,
( esk51_0 = nil
| ssList(esk55_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_235]),c_0_236]),c_0_237])]) ).
cnf(c_0_247,negated_conjecture,
( app(esk55_0,cons(esk54_0,nil)) = esk50_0
| ~ neq(esk51_0,nil) ),
i_0_191 ).
cnf(c_0_248,negated_conjecture,
esk50_0 = esk48_0,
i_0_204 ).
cnf(c_0_249,plain,
( tl(cons(X1,X2)) = X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_57 ).
cnf(c_0_250,negated_conjecture,
( cons(esk52_0,esk53_0) = esk51_0
| esk51_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]),c_0_243]) ).
cnf(c_0_251,plain,
( cons(esk54_0,esk55_0) = esk51_0
| esk51_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_244]),c_0_245]),c_0_246]) ).
cnf(c_0_252,negated_conjecture,
( app(esk55_0,cons(esk54_0,nil)) = esk48_0
| ~ neq(esk51_0,nil) ),
inference(rw,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_253,plain,
( tl(esk51_0) = esk53_0
| esk51_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_242]),c_0_243]) ).
cnf(c_0_254,plain,
( tl(esk51_0) = esk55_0
| esk51_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_251]),c_0_245]),c_0_246]) ).
cnf(c_0_255,plain,
( hd(cons(X1,X2)) = X1
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_55 ).
cnf(c_0_256,negated_conjecture,
( app(esk55_0,cons(esk54_0,nil)) = esk48_0
| esk51_0 = nil ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_235]),c_0_236]),c_0_237])]) ).
cnf(c_0_257,plain,
( esk51_0 = nil
| esk55_0 = esk53_0 ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_258,plain,
( hd(esk51_0) = esk52_0
| esk51_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_250]),c_0_242]),c_0_243]) ).
cnf(c_0_259,plain,
( hd(esk51_0) = esk54_0
| esk51_0 = nil ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_251]),c_0_245]),c_0_246]) ).
cnf(c_0_260,negated_conjecture,
( nil = esk49_0
| app(esk53_0,cons(esk52_0,nil)) != esk48_0 ),
i_0_196 ).
cnf(c_0_261,negated_conjecture,
( esk50_0 = nil
| nil != esk51_0 ),
i_0_203 ).
cnf(c_0_262,negated_conjecture,
( app(esk53_0,cons(esk54_0,nil)) = esk48_0
| esk51_0 = nil ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_263,plain,
( esk51_0 = nil
| esk54_0 = esk52_0 ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_264,negated_conjecture,
( esk51_0 = nil
| app(esk53_0,cons(esk52_0,nil)) != esk48_0 ),
inference(rw,[status(thm)],[c_0_260,c_0_231]) ).
cnf(c_0_265,negated_conjecture,
( app(cons(esk52_0,nil),esk53_0) = esk49_0
| nil != esk48_0 ),
i_0_197 ).
cnf(c_0_266,negated_conjecture,
( esk48_0 = nil
| esk51_0 != nil ),
inference(rw,[status(thm)],[c_0_261,c_0_248]) ).
cnf(c_0_267,negated_conjecture,
esk51_0 = nil,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_264]) ).
cnf(c_0_268,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_53 ).
cnf(c_0_269,plain,
( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssItem(X1) ),
i_0_59 ).
cnf(c_0_270,plain,
( ssList(app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_58 ).
cnf(c_0_271,negated_conjecture,
( app(cons(esk52_0,nil),esk53_0) = esk51_0
| esk48_0 != nil ),
inference(rw,[status(thm)],[c_0_265,c_0_231]) ).
cnf(c_0_272,negated_conjecture,
esk48_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_267])]) ).
cnf(c_0_273,negated_conjecture,
( ssList(esk53_0)
| nil != esk48_0 ),
i_0_199 ).
cnf(c_0_274,negated_conjecture,
( ssItem(esk52_0)
| nil != esk48_0 ),
i_0_201 ).
cnf(c_0_275,plain,
( app(cons(X1,X2),X3) != nil
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_269]),c_0_270]) ).
cnf(c_0_276,negated_conjecture,
app(cons(esk52_0,nil),esk53_0) = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_267]),c_0_272])]) ).
cnf(c_0_277,negated_conjecture,
ssList(esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_272])]) ).
cnf(c_0_278,negated_conjecture,
ssItem(esk52_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_272])]) ).
cnf(c_0_279,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]),c_0_236]),c_0_278])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC315+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sun Jun 12 15:03:08 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected SinE mode:
% 0.21/0.48 # Parsing /export/starexec/sandbox/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
% 7.77/2.41 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.77/2.41 # No SInE strategy applied
% 7.77/2.41 # Trying AutoSched0 for 150 seconds
% 7.77/2.41 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.77/2.41 # and selection function SelectNewComplexAHP.
% 7.77/2.41 #
% 7.77/2.41 # Preprocessing time : 0.013 s
% 7.77/2.41 # Presaturation interreduction done
% 7.77/2.41
% 7.77/2.41 # Proof found!
% 7.77/2.41 # SZS status Theorem
% 7.77/2.41 # SZS output start CNFRefutation
% See solution above
% 7.77/2.41 # Training examples: 0 positive, 0 negative
% 7.77/2.41
% 7.77/2.41 # -------------------------------------------------
% 7.77/2.41 # User time : 0.025 s
% 7.77/2.41 # System time : 0.006 s
% 7.77/2.41 # Total time : 0.031 s
% 7.77/2.41 # Maximum resident set size: 7124 pages
% 7.77/2.41
%------------------------------------------------------------------------------