TSTP Solution File: SWC329+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC329+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 20:15:01 EDT 2022
% Result : Theorem 17.53s 3.68s
% Output : CNFRefutation 17.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of clauses : 71 ( 17 unt; 25 nHn; 71 RR)
% Number of literals : 186 ( 53 equ; 95 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 : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_149,plain,
( segmentP(X1,X2)
| app(app(X3,X2),X4) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_149) ).
cnf(i_0_155,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_155) ).
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-7oxx7zg7/input.p',i_0_154) ).
cnf(i_0_197,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_197) ).
cnf(i_0_199,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_199) ).
cnf(i_0_203,negated_conjecture,
ssList(esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_203) ).
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/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_82) ).
cnf(i_0_196,negated_conjecture,
( esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_196) ).
cnf(i_0_198,negated_conjecture,
( esk50_0 = nil
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_198) ).
cnf(i_0_191,negated_conjecture,
( ~ equalelemsP(esk48_0)
| ~ segmentP(esk49_0,esk48_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_191) ).
cnf(i_0_200,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_200) ).
cnf(i_0_201,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_201) ).
cnf(i_0_140,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_140) ).
cnf(i_0_83,plain,
( ssList(esk30_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/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/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_84) ).
cnf(i_0_204,negated_conjecture,
ssList(esk49_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_204) ).
cnf(i_0_195,negated_conjecture,
( nil = esk51_0
| memberP(esk51_0,esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_195) ).
cnf(i_0_194,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_194) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_44) ).
cnf(i_0_60,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_60) ).
cnf(i_0_141,plain,
equalelemsP(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_141) ).
cnf(i_0_159,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7oxx7zg7/input.p',i_0_159) ).
cnf(c_0_227,plain,
( segmentP(X1,X2)
| app(app(X3,X2),X4) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(X3) ),
i_0_149 ).
cnf(c_0_228,plain,
( segmentP(app(app(X1,X2),X3),X2)
| ~ ssList(app(app(X1,X2),X3))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(er,[status(thm)],[c_0_227]) ).
cnf(c_0_229,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_230,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_154 ).
cnf(c_0_231,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
i_0_197 ).
cnf(c_0_232,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
i_0_199 ).
cnf(c_0_233,plain,
( segmentP(app(X1,app(X2,X3)),X2)
| ~ ssList(app(X1,app(X2,X3)))
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_234,negated_conjecture,
( app(esk50_0,X1) = cons(esk52_0,X1)
| esk51_0 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_232]) ).
cnf(c_0_235,negated_conjecture,
ssList(esk50_0),
i_0_203 ).
cnf(c_0_236,negated_conjecture,
( esk51_0 = nil
| segmentP(app(X1,cons(esk52_0,X2)),esk50_0)
| ~ ssList(app(X1,cons(esk52_0,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235])]) ).
cnf(c_0_237,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_238,negated_conjecture,
( esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
i_0_196 ).
cnf(c_0_239,negated_conjecture,
( esk50_0 = nil
| ssItem(esk52_0) ),
i_0_198 ).
cnf(c_0_240,negated_conjecture,
( ~ equalelemsP(esk48_0)
| ~ segmentP(esk49_0,esk48_0) ),
i_0_191 ).
cnf(c_0_241,negated_conjecture,
esk50_0 = esk48_0,
i_0_200 ).
cnf(c_0_242,negated_conjecture,
esk49_0 = esk51_0,
i_0_201 ).
cnf(c_0_243,plain,
( equalelemsP(cons(X1,nil))
| ~ ssItem(X1) ),
i_0_140 ).
cnf(c_0_244,plain,
( esk51_0 = nil
| segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(esk30_2(X1,esk52_0))
| ~ ssList(esk29_2(X1,esk52_0))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_232]) ).
cnf(c_0_245,plain,
( ssList(esk30_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_83 ).
cnf(c_0_246,negated_conjecture,
( app(esk50_0,X1) = cons(esk52_0,X1)
| esk50_0 = nil
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_238]),c_0_239]) ).
cnf(c_0_247,negated_conjecture,
( ~ segmentP(esk51_0,esk50_0)
| ~ equalelemsP(esk50_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_241]),c_0_242]),c_0_241]) ).
cnf(c_0_248,negated_conjecture,
( esk51_0 = nil
| equalelemsP(esk50_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_231]),c_0_232]) ).
cnf(c_0_249,plain,
( esk51_0 = nil
| segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(esk29_2(X1,esk52_0))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_232]) ).
cnf(c_0_250,plain,
( ssList(esk29_2(X1,X2))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ memberP(X1,X2) ),
i_0_84 ).
cnf(c_0_251,negated_conjecture,
ssList(esk49_0),
i_0_204 ).
cnf(c_0_252,negated_conjecture,
( esk50_0 = nil
| segmentP(app(X1,cons(esk52_0,X2)),esk50_0)
| ~ ssList(app(X1,cons(esk52_0,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_246]),c_0_235])]) ).
cnf(c_0_253,negated_conjecture,
( esk50_0 = nil
| equalelemsP(esk50_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_238]),c_0_239]) ).
cnf(c_0_254,negated_conjecture,
( esk51_0 = nil
| ~ segmentP(esk51_0,esk50_0) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_255,plain,
( esk51_0 = nil
| segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_250]),c_0_232]) ).
cnf(c_0_256,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_251,c_0_242]) ).
cnf(c_0_257,negated_conjecture,
( nil = esk51_0
| memberP(esk51_0,esk52_0) ),
i_0_195 ).
cnf(c_0_258,plain,
( esk50_0 = nil
| segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(esk30_2(X1,esk52_0))
| ~ ssList(esk29_2(X1,esk52_0))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_237]),c_0_239]) ).
cnf(c_0_259,negated_conjecture,
( esk50_0 = nil
| ~ segmentP(esk51_0,esk50_0) ),
inference(spm,[status(thm)],[c_0_247,c_0_253]) ).
cnf(c_0_260,negated_conjecture,
esk51_0 = nil,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_256])]),c_0_257]) ).
cnf(c_0_261,plain,
( esk50_0 = nil
| segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(esk29_2(X1,esk52_0))
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_245]),c_0_239]) ).
cnf(c_0_262,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk52_0) ),
i_0_194 ).
cnf(c_0_263,negated_conjecture,
( esk50_0 = nil
| ~ segmentP(nil,esk50_0) ),
inference(rw,[status(thm)],[c_0_259,c_0_260]) ).
cnf(c_0_264,plain,
( esk50_0 = nil
| segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_250]),c_0_239]) ).
cnf(c_0_265,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_266,negated_conjecture,
( esk50_0 = nil
| memberP(nil,esk52_0) ),
inference(rw,[status(thm)],[c_0_262,c_0_260]) ).
cnf(c_0_267,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
i_0_60 ).
cnf(c_0_268,negated_conjecture,
( ~ segmentP(nil,esk50_0)
| ~ equalelemsP(esk50_0) ),
inference(rw,[status(thm)],[c_0_247,c_0_260]) ).
cnf(c_0_269,plain,
esk50_0 = nil,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_265])]),c_0_266]) ).
cnf(c_0_270,plain,
equalelemsP(nil),
i_0_141 ).
cnf(c_0_271,plain,
( segmentP(X1,X2)
| app(X2,X3) != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_267]),c_0_265])]) ).
cnf(c_0_272,plain,
( app(X1,nil) = X1
| ~ ssList(X1) ),
i_0_159 ).
cnf(c_0_273,negated_conjecture,
~ segmentP(nil,nil),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_269]),c_0_269]),c_0_270])]) ).
cnf(c_0_274,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_272]),c_0_265])])]) ).
cnf(c_0_275,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_265])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC329+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n027.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 17:26:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.53/3.68 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.53/3.68 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 57; version: 991; iters: 150)
% 17.53/3.68 # Preprocessing time : 1.147 s
% 17.53/3.68
% 17.53/3.68 # Proof found!
% 17.53/3.68 # SZS status Theorem
% 17.53/3.68 # SZS output start CNFRefutation
% See solution above
% 17.53/3.68 # Training examples: 0 positive, 0 negative
% 17.53/3.68
% 17.53/3.68 # -------------------------------------------------
% 17.53/3.68 # User time : 1.040 s
% 17.53/3.68 # System time : 0.135 s
% 17.53/3.68 # Total time : 1.175 s
% 17.53/3.68 # ...preprocessing : 1.147 s
% 17.53/3.68 # ...main loop : 0.028 s
% 17.53/3.68 # Maximum resident set size: 175800 pages
% 17.53/3.68
%------------------------------------------------------------------------------