TSTP Solution File: SWC113+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC113+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 20:13:42 EDT 2022
% Result : Theorem 15.88s 3.42s
% Output : CNFRefutation 15.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of clauses : 81 ( 16 unt; 32 nHn; 81 RR)
% Number of literals : 202 ( 72 equ; 97 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_197,negated_conjecture,
( esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_197) ).
cnf(i_0_201,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_201) ).
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-mmjxopti/input.p',i_0_108) ).
cnf(i_0_107,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/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-mmjxopti/input.p',i_0_154) ).
cnf(i_0_199,negated_conjecture,
( esk50_0 = nil
| ssItem(esk52_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_199) ).
cnf(i_0_195,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk52_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_195) ).
cnf(i_0_202,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_202) ).
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-mmjxopti/input.p',i_0_155) ).
cnf(i_0_204,negated_conjecture,
ssList(esk50_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_204) ).
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-mmjxopti/input.p',i_0_82) ).
cnf(i_0_205,negated_conjecture,
ssList(esk49_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_205) ).
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-mmjxopti/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-mmjxopti/input.p',i_0_84) ).
cnf(i_0_198,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_198) ).
cnf(i_0_193,negated_conjecture,
( nil = esk49_0
| ~ neq(esk48_0,nil)
| ~ segmentP(esk49_0,esk48_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.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-mmjxopti/input.p',i_0_41) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_44) ).
cnf(i_0_45,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_45) ).
cnf(i_0_200,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_200) ).
cnf(i_0_79,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_79) ).
cnf(i_0_191,negated_conjecture,
( nil != esk48_0
| ~ neq(esk48_0,nil)
| ~ segmentP(esk49_0,esk48_0) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_191) ).
cnf(i_0_110,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_110) ).
cnf(i_0_192,negated_conjecture,
( neq(esk49_0,nil)
| nil != esk48_0 ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mmjxopti/input.p',i_0_192) ).
cnf(c_0_230,negated_conjecture,
( esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
i_0_197 ).
cnf(c_0_231,negated_conjecture,
esk50_0 = esk48_0,
i_0_201 ).
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
| esk48_0 = nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_231]),c_0_231]) ).
cnf(c_0_236,negated_conjecture,
( esk50_0 = nil
| ssItem(esk52_0) ),
i_0_199 ).
cnf(c_0_237,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk52_0) ),
i_0_195 ).
cnf(c_0_238,negated_conjecture,
esk49_0 = esk51_0,
i_0_202 ).
cnf(c_0_239,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_240,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_241,negated_conjecture,
( app(esk48_0,X1) = cons(esk52_0,X1)
| esk48_0 = nil
| ~ ssItem(esk52_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_242,negated_conjecture,
( esk48_0 = nil
| ssItem(esk52_0) ),
inference(rw,[status(thm)],[c_0_236,c_0_231]) ).
cnf(c_0_243,negated_conjecture,
ssList(esk50_0),
i_0_204 ).
cnf(c_0_244,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_245,negated_conjecture,
( esk48_0 = nil
| memberP(esk49_0,esk52_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_231]),c_0_238]) ).
cnf(c_0_246,negated_conjecture,
ssList(esk49_0),
i_0_205 ).
cnf(c_0_247,plain,
( segmentP(app(X1,app(X2,X3)),X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_248,negated_conjecture,
( app(esk48_0,X1) = cons(esk52_0,X1)
| esk48_0 = nil
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
cnf(c_0_249,negated_conjecture,
ssList(esk48_0),
inference(rw,[status(thm)],[c_0_243,c_0_231]) ).
cnf(c_0_250,negated_conjecture,
( app(esk29_2(esk49_0,esk52_0),cons(esk52_0,esk30_2(esk49_0,esk52_0))) = esk49_0
| esk48_0 = nil
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_246])]) ).
cnf(c_0_251,plain,
( ssList(esk30_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_83 ).
cnf(c_0_252,negated_conjecture,
( esk48_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_247,c_0_248]),c_0_249])]) ).
cnf(c_0_253,negated_conjecture,
( app(esk29_2(esk49_0,esk52_0),cons(esk52_0,esk30_2(esk49_0,esk52_0))) = esk49_0
| esk48_0 = nil ),
inference(spm,[status(thm)],[c_0_250,c_0_242]) ).
cnf(c_0_254,negated_conjecture,
( esk48_0 = nil
| ssList(esk30_2(esk49_0,esk52_0))
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_245]),c_0_246])]) ).
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,
( esk48_0 = nil
| segmentP(esk49_0,esk48_0)
| ~ ssList(esk30_2(esk49_0,esk52_0))
| ~ ssList(esk29_2(esk49_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
cnf(c_0_257,negated_conjecture,
( esk48_0 = nil
| ssList(esk30_2(esk49_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_254,c_0_242]) ).
cnf(c_0_258,negated_conjecture,
( esk48_0 = nil
| ssList(esk29_2(esk49_0,esk52_0))
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_245]),c_0_246])]) ).
cnf(c_0_259,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
i_0_198 ).
cnf(c_0_260,negated_conjecture,
( nil = esk49_0
| ~ neq(esk48_0,nil)
| ~ segmentP(esk49_0,esk48_0) ),
i_0_193 ).
cnf(c_0_261,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_262,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_263,negated_conjecture,
( esk48_0 = nil
| segmentP(esk49_0,esk48_0)
| ~ ssList(esk29_2(esk49_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
cnf(c_0_264,negated_conjecture,
( esk48_0 = nil
| ssList(esk29_2(esk49_0,esk52_0)) ),
inference(spm,[status(thm)],[c_0_258,c_0_242]) ).
cnf(c_0_265,plain,
( cons(X1,X2) != X2
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_45 ).
cnf(c_0_266,negated_conjecture,
( cons(esk52_0,nil) = esk48_0
| esk49_0 = nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_259,c_0_238]),c_0_231]) ).
cnf(c_0_267,negated_conjecture,
( esk49_0 = nil
| esk48_0 = nil
| ~ segmentP(esk49_0,esk48_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_262]),c_0_249])]) ).
cnf(c_0_268,negated_conjecture,
( esk48_0 = nil
| segmentP(esk49_0,esk48_0) ),
inference(spm,[status(thm)],[c_0_263,c_0_264]) ).
cnf(c_0_269,negated_conjecture,
( esk49_0 = nil
| esk48_0 != nil
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_262])]) ).
cnf(c_0_270,negated_conjecture,
( esk49_0 = nil
| esk48_0 = nil ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
cnf(c_0_271,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
i_0_200 ).
cnf(c_0_272,negated_conjecture,
( esk49_0 = nil
| ~ ssItem(esk52_0) ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_273,negated_conjecture,
( esk49_0 = nil
| ssItem(esk52_0) ),
inference(rw,[status(thm)],[c_0_271,c_0_238]) ).
cnf(c_0_274,negated_conjecture,
esk49_0 = nil,
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
cnf(c_0_275,plain,
( ~ ssItem(X1)
| ~ memberP(nil,X1) ),
i_0_79 ).
cnf(c_0_276,negated_conjecture,
( esk48_0 = nil
| memberP(nil,esk52_0) ),
inference(rw,[status(thm)],[c_0_245,c_0_274]) ).
cnf(c_0_277,negated_conjecture,
( nil != esk48_0
| ~ neq(esk48_0,nil)
| ~ segmentP(esk49_0,esk48_0) ),
i_0_191 ).
cnf(c_0_278,plain,
( esk48_0 = nil
| ~ ssItem(esk52_0) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
cnf(c_0_279,plain,
( segmentP(nil,X1)
| nil != X1
| ~ ssList(X1) ),
i_0_110 ).
cnf(c_0_280,negated_conjecture,
( neq(esk49_0,nil)
| nil != esk48_0 ),
i_0_192 ).
cnf(c_0_281,negated_conjecture,
( esk48_0 != nil
| ~ segmentP(nil,esk48_0)
| ~ neq(esk48_0,nil) ),
inference(rw,[status(thm)],[c_0_277,c_0_274]) ).
cnf(c_0_282,negated_conjecture,
esk48_0 = nil,
inference(spm,[status(thm)],[c_0_278,c_0_242]) ).
cnf(c_0_283,plain,
segmentP(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_279]),c_0_262])]) ).
cnf(c_0_284,negated_conjecture,
( neq(nil,nil)
| esk48_0 != nil ),
inference(rw,[status(thm)],[c_0_280,c_0_274]) ).
cnf(c_0_285,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_281,c_0_282]),c_0_282]),c_0_283]),c_0_282])]) ).
cnf(c_0_286,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_284,c_0_282])]),c_0_285]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC113+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 12 05:39:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 15.88/3.42 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l6400-e0.15+coop-eprover66:
% 15.88/3.42 # 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: 47; version: 991; iters: 150)
% 15.88/3.42 # Preprocessing time : 0.892 s
% 15.88/3.42 # Presaturation interreduction done
% 15.88/3.42
% 15.88/3.42 # Proof found!
% 15.88/3.42 # SZS status Theorem
% 15.88/3.42 # SZS output start CNFRefutation
% See solution above
% 15.88/3.42 # Training examples: 0 positive, 0 negative
% 15.88/3.42
% 15.88/3.42 # -------------------------------------------------
% 15.88/3.42 # User time : 0.821 s
% 15.88/3.42 # System time : 0.118 s
% 15.88/3.42 # Total time : 0.939 s
% 15.88/3.42 # ...preprocessing : 0.892 s
% 15.88/3.42 # ...main loop : 0.047 s
% 15.88/3.42 # Maximum resident set size: 168700 pages
% 15.88/3.42
%------------------------------------------------------------------------------