TSTP Solution File: SWC390+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC390+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n006.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 20:15:23 EDT 2022
% Result : Theorem 13.74s 3.09s
% Output : CNFRefutation 13.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of clauses : 77 ( 17 unt; 19 nHn; 77 RR)
% Number of literals : 194 ( 52 equ; 104 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_194,negated_conjecture,
( cons(esk52_0,nil) = esk50_0
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_194) ).
cnf(i_0_197,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_197) ).
cnf(i_0_201,negated_conjecture,
ssList(esk49_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_201) ).
cnf(i_0_198,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_198) ).
cnf(i_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_41) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_44) ).
cnf(i_0_108,plain,
( segmentP(app(app(X1,X2),X3),X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ segmentP(X2,X4) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_108) ).
cnf(i_0_107,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_107) ).
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-lac2l1fz/input.p',i_0_154) ).
cnf(i_0_195,negated_conjecture,
( ssItem(esk52_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_195) ).
cnf(i_0_193,negated_conjecture,
( memberP(esk51_0,esk52_0)
| ~ neq(esk51_0,nil) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_193) ).
cnf(i_0_155,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_155) ).
cnf(i_0_200,negated_conjecture,
ssList(esk50_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_200) ).
cnf(i_0_82,plain,
( app(esk29_2(X1,X2),cons(X2,esk30_2(X1,X2))) = X1
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_82) ).
cnf(i_0_98,plain,
( singletonP(X1)
| cons(X2,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_98) ).
cnf(i_0_83,plain,
( ssList(esk30_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_83) ).
cnf(i_0_84,plain,
( ssList(esk29_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_84) ).
cnf(i_0_191,negated_conjecture,
( ~ singletonP(esk48_0)
| ~ segmentP(esk49_0,esk48_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_191) ).
cnf(i_0_196,negated_conjecture,
( esk50_0 = nil
| nil != esk51_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_196) ).
cnf(i_0_192,negated_conjecture,
( neq(esk49_0,nil)
| ~ segmentP(esk49_0,esk48_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_192) ).
cnf(i_0_110,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_110) ).
cnf(i_0_42,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-lac2l1fz/input.p',i_0_42) ).
cnf(c_0_224,negated_conjecture,
( cons(esk52_0,nil) = esk50_0
| ~ neq(esk51_0,nil) ),
i_0_194 ).
cnf(c_0_225,negated_conjecture,
esk50_0 = esk48_0,
i_0_197 ).
cnf(c_0_226,negated_conjecture,
ssList(esk49_0),
i_0_201 ).
cnf(c_0_227,negated_conjecture,
esk49_0 = esk51_0,
i_0_198 ).
cnf(c_0_228,negated_conjecture,
( cons(esk52_0,nil) = esk48_0
| ~ neq(esk51_0,nil) ),
inference(rw,[status(thm)],[c_0_224,c_0_225]) ).
cnf(c_0_229,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_230,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_231,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_226,c_0_227]) ).
cnf(c_0_232,plain,
( segmentP(app(app(X1,X2),X3),X4)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ segmentP(X2,X4) ),
i_0_108 ).
cnf(c_0_233,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
i_0_107 ).
cnf(c_0_234,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_235,negated_conjecture,
( cons(esk52_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_228,c_0_229]),c_0_230]),c_0_231])]) ).
cnf(c_0_236,negated_conjecture,
( ssItem(esk52_0)
| ~ neq(esk51_0,nil) ),
i_0_195 ).
cnf(c_0_237,negated_conjecture,
( memberP(esk51_0,esk52_0)
| ~ neq(esk51_0,nil) ),
i_0_193 ).
cnf(c_0_238,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_239,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_240,negated_conjecture,
( app(esk48_0,X1) = cons(esk52_0,X1)
| esk51_0 = nil
| ~ ssItem(esk52_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_241,negated_conjecture,
( esk51_0 = nil
| ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_229]),c_0_230]),c_0_231])]) ).
cnf(c_0_242,negated_conjecture,
ssList(esk50_0),
i_0_200 ).
cnf(c_0_243,plain,
( app(esk29_2(X1,X2),cons(X2,esk30_2(X1,X2))) = X1
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_82 ).
cnf(c_0_244,negated_conjecture,
( esk51_0 = nil
| memberP(esk51_0,esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_229]),c_0_230]),c_0_231])]) ).
cnf(c_0_245,plain,
( singletonP(X1)
| cons(X2,nil) != X1
| ~ ssList(X1)
| ~ ssItem(X2) ),
i_0_98 ).
cnf(c_0_246,plain,
( segmentP(app(X1,app(X2,X3)),X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_247,negated_conjecture,
( app(esk48_0,X1) = cons(esk52_0,X1)
| esk51_0 = nil
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_240,c_0_241]) ).
cnf(c_0_248,negated_conjecture,
ssList(esk48_0),
inference(rw,[status(thm)],[c_0_242,c_0_225]) ).
cnf(c_0_249,negated_conjecture,
( app(esk29_2(esk51_0,esk52_0),cons(esk52_0,esk30_2(esk51_0,esk52_0))) = esk51_0
| esk51_0 = nil
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_231])]) ).
cnf(c_0_250,plain,
( ssList(esk30_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_83 ).
cnf(c_0_251,plain,
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(er,[status(thm)],[c_0_245]) ).
cnf(c_0_252,negated_conjecture,
( esk51_0 = nil
| segmentP(app(X1,cons(esk52_0,X2)),esk48_0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248])]) ).
cnf(c_0_253,negated_conjecture,
( app(esk29_2(esk51_0,esk52_0),cons(esk52_0,esk30_2(esk51_0,esk52_0))) = esk51_0
| esk51_0 = nil ),
inference(spm,[status(thm)],[c_0_249,c_0_241]) ).
cnf(c_0_254,negated_conjecture,
( esk51_0 = nil
| ssList(esk30_2(esk51_0,esk52_0))
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_244]),c_0_231])]) ).
cnf(c_0_255,plain,
( ssList(esk29_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_84 ).
cnf(c_0_256,negated_conjecture,
( ~ singletonP(esk48_0)
| ~ segmentP(esk49_0,esk48_0) ),
i_0_191 ).
cnf(c_0_257,negated_conjecture,
( esk51_0 = nil
| singletonP(esk48_0)
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_235]),c_0_248])]) ).
cnf(c_0_258,negated_conjecture,
( esk51_0 = nil
| segmentP(esk51_0,esk48_0)
| ~ ssList(esk30_2(esk51_0,esk52_0))
| ~ ssList(esk29_2(esk51_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_259,negated_conjecture,
( esk51_0 = nil
| ssList(esk30_2(esk51_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_254,c_0_241]) ).
cnf(c_0_260,negated_conjecture,
( esk51_0 = nil
| ssList(esk29_2(esk51_0,esk52_0))
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_244]),c_0_231])]) ).
cnf(c_0_261,negated_conjecture,
( ~ segmentP(esk51_0,esk48_0)
| ~ singletonP(esk48_0) ),
inference(rw,[status(thm)],[c_0_256,c_0_227]) ).
cnf(c_0_262,negated_conjecture,
( esk51_0 = nil
| singletonP(esk48_0) ),
inference(spm,[status(thm)],[c_0_257,c_0_241]) ).
cnf(c_0_263,negated_conjecture,
( esk51_0 = nil
| segmentP(esk51_0,esk48_0)
| ~ ssList(esk29_2(esk51_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
cnf(c_0_264,negated_conjecture,
( esk51_0 = nil
| ssList(esk29_2(esk51_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_260,c_0_241]) ).
cnf(c_0_265,negated_conjecture,
( esk50_0 = nil
| nil != esk51_0 ),
i_0_196 ).
cnf(c_0_266,negated_conjecture,
( esk51_0 = nil
| ~ segmentP(esk51_0,esk48_0) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
cnf(c_0_267,negated_conjecture,
( esk51_0 = nil
| segmentP(esk51_0,esk48_0) ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_268,negated_conjecture,
( neq(esk49_0,nil)
| ~ segmentP(esk49_0,esk48_0) ),
i_0_192 ).
cnf(c_0_269,negated_conjecture,
( esk48_0 = nil
| esk51_0 != nil ),
inference(rw,[status(thm)],[c_0_265,c_0_225]) ).
cnf(c_0_270,negated_conjecture,
esk51_0 = nil,
inference(spm,[status(thm)],[c_0_266,c_0_267]) ).
cnf(c_0_271,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
i_0_110 ).
cnf(c_0_272,plain,
( X1 != X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ neq(X1,X2) ),
i_0_42 ).
cnf(c_0_273,negated_conjecture,
( neq(esk51_0,nil)
| ~ segmentP(esk51_0,esk48_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_227]),c_0_227]) ).
cnf(c_0_274,negated_conjecture,
esk48_0 = nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_270])]) ).
cnf(c_0_275,plain,
segmentP(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_271]),c_0_230])]) ).
cnf(c_0_276,plain,
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(er,[status(thm)],[c_0_272]) ).
cnf(c_0_277,negated_conjecture,
neq(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_270]),c_0_270]),c_0_274]),c_0_275])]) ).
cnf(c_0_278,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_230])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC390+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 : n006.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 00:23:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected SinE mode:
% 0.19/0.45 # Parsing /export/starexec/sandbox2/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
% 13.74/3.09 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 13.74/3.09 # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l6400-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 51; version: 991; iters: 150)
% 13.74/3.09 # Preprocessing time : 0.852 s
% 13.74/3.09 # Presaturation interreduction done
% 13.74/3.09
% 13.74/3.09 # Proof found!
% 13.74/3.09 # SZS status Theorem
% 13.74/3.09 # SZS output start CNFRefutation
% See solution above
% 13.74/3.09 # Training examples: 0 positive, 0 negative
% 13.74/3.09
% 13.74/3.09 # -------------------------------------------------
% 13.74/3.09 # User time : 0.784 s
% 13.74/3.09 # System time : 0.106 s
% 13.74/3.09 # Total time : 0.890 s
% 13.74/3.09 # ...preprocessing : 0.852 s
% 13.74/3.09 # ...main loop : 0.038 s
% 13.74/3.10 # Maximum resident set size: 167152 pages
% 13.74/3.10
%------------------------------------------------------------------------------