TSTP Solution File: SWC078+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC078+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 20:13:28 EDT 2022
% Result : Theorem 17.79s 3.60s
% Output : CNFRefutation 17.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of clauses : 61 ( 16 unt; 13 nHn; 61 RR)
% Number of literals : 163 ( 45 equ; 99 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 : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_53,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_53) ).
cnf(i_0_194,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_194) ).
cnf(i_0_44,plain,
ssList(nil),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_44) ).
cnf(i_0_197,negated_conjecture,
( nil != esk48_0
| nil != esk49_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_197) ).
cnf(i_0_199,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_199) ).
cnf(i_0_200,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_200) ).
cnf(i_0_196,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_196) ).
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-8t2cyyog/input.p',i_0_149) ).
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-8t2cyyog/input.p',i_0_154) ).
cnf(i_0_193,negated_conjecture,
( esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_193) ).
cnf(i_0_195,negated_conjecture,
( esk50_0 = nil
| ssItem(esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_195) ).
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-8t2cyyog/input.p',i_0_155) ).
cnf(i_0_202,negated_conjecture,
ssList(esk50_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_202) ).
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-8t2cyyog/input.p',i_0_82) ).
cnf(i_0_198,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk48_0,X1)
| ~ segmentP(esk49_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_198) ).
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-8t2cyyog/input.p',i_0_83) ).
cnf(i_0_41,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_41) ).
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-8t2cyyog/input.p',i_0_84) ).
cnf(i_0_191,negated_conjecture,
( esk50_0 = nil
| memberP(esk51_0,esk52_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_191) ).
cnf(i_0_203,negated_conjecture,
ssList(esk49_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_203) ).
cnf(i_0_107,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8t2cyyog/input.p',i_0_107) ).
cnf(c_0_225,plain,
( cons(X1,X2) != nil
| ~ ssList(X2)
| ~ ssItem(X1) ),
i_0_53 ).
cnf(c_0_226,negated_conjecture,
( nil = esk51_0
| cons(esk52_0,nil) = esk50_0 ),
i_0_194 ).
cnf(c_0_227,plain,
ssList(nil),
i_0_44 ).
cnf(c_0_228,negated_conjecture,
( nil != esk48_0
| nil != esk49_0 ),
i_0_197 ).
cnf(c_0_229,negated_conjecture,
esk50_0 = esk48_0,
i_0_199 ).
cnf(c_0_230,negated_conjecture,
esk49_0 = esk51_0,
i_0_200 ).
cnf(c_0_231,negated_conjecture,
( esk51_0 = nil
| esk50_0 != nil
| ~ ssItem(esk52_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227])]) ).
cnf(c_0_232,negated_conjecture,
( nil = esk51_0
| ssItem(esk52_0) ),
i_0_196 ).
cnf(c_0_233,negated_conjecture,
( esk50_0 != nil
| esk51_0 != nil ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_228,c_0_229]),c_0_230]) ).
cnf(c_0_234,negated_conjecture,
( esk51_0 = nil
| esk50_0 != nil ),
inference(spm,[status(thm)],[c_0_231,c_0_232]) ).
cnf(c_0_235,plain,
( segmentP(X1,X2)
| app(app(X3,X2),X4) != X1
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(X3) ),
i_0_149 ).
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,
( esk50_0 = nil
| cons(esk52_0,nil) = esk50_0 ),
i_0_193 ).
cnf(c_0_238,negated_conjecture,
( esk50_0 = nil
| ssItem(esk52_0) ),
i_0_195 ).
cnf(c_0_239,negated_conjecture,
esk50_0 != nil,
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_240,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_235]) ).
cnf(c_0_241,plain,
( app(app(X1,X2),X3) = app(X1,app(X2,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_155 ).
cnf(c_0_242,negated_conjecture,
( app(esk50_0,X1) = cons(esk52_0,X1)
| esk50_0 = nil
| ~ ssItem(esk52_0)
| ~ ssList(X1) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_243,negated_conjecture,
ssItem(esk52_0),
inference(sr,[status(thm)],[c_0_238,c_0_239]) ).
cnf(c_0_244,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_240,c_0_241]) ).
cnf(c_0_245,negated_conjecture,
( app(esk50_0,X1) = cons(esk52_0,X1)
| ~ ssList(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243])]),c_0_239]) ).
cnf(c_0_246,negated_conjecture,
ssList(esk50_0),
i_0_202 ).
cnf(c_0_247,plain,
( 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_244,c_0_245]),c_0_246])]) ).
cnf(c_0_248,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_249,negated_conjecture,
( ~ ssList(X1)
| ~ neq(X1,nil)
| ~ segmentP(esk48_0,X1)
| ~ segmentP(esk49_0,X1) ),
i_0_198 ).
cnf(c_0_250,plain,
( segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(esk30_2(X1,esk52_0))
| ~ ssList(esk29_2(X1,esk52_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_243])]) ).
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,
( ~ neq(X1,nil)
| ~ segmentP(esk50_0,X1)
| ~ segmentP(esk51_0,X1)
| ~ ssList(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_229]),c_0_230]) ).
cnf(c_0_253,plain,
( X1 = X2
| neq(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
i_0_41 ).
cnf(c_0_254,plain,
( segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(esk29_2(X1,esk52_0))
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_243])]) ).
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,
( esk50_0 = nil
| memberP(esk51_0,esk52_0) ),
i_0_191 ).
cnf(c_0_257,negated_conjecture,
ssList(esk49_0),
i_0_203 ).
cnf(c_0_258,negated_conjecture,
( X1 = nil
| ~ segmentP(esk50_0,X1)
| ~ segmentP(esk51_0,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_227])]) ).
cnf(c_0_259,plain,
( segmentP(X1,esk50_0)
| ~ memberP(X1,esk52_0)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_243])]) ).
cnf(c_0_260,negated_conjecture,
memberP(esk51_0,esk52_0),
inference(sr,[status(thm)],[c_0_256,c_0_239]) ).
cnf(c_0_261,negated_conjecture,
ssList(esk51_0),
inference(rw,[status(thm)],[c_0_257,c_0_230]) ).
cnf(c_0_262,negated_conjecture,
~ segmentP(esk50_0,esk50_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_246]),c_0_260]),c_0_261])]),c_0_239]) ).
cnf(c_0_263,plain,
( segmentP(X1,X1)
| ~ ssList(X1) ),
i_0_107 ).
cnf(c_0_264,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_246])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWC078+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % 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 21:35:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.44 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.44 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.44 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 17.79/3.60 # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 17.79/3.60 # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 58; version: 991; iters: 150)
% 17.79/3.60 # Preprocessing time : 1.203 s
% 17.79/3.60 # Presaturation interreduction done
% 17.79/3.60
% 17.79/3.60 # Proof found!
% 17.79/3.60 # SZS status Theorem
% 17.79/3.60 # SZS output start CNFRefutation
% See solution above
% 17.79/3.60 # Training examples: 0 positive, 0 negative
% 17.79/3.60
% 17.79/3.60 # -------------------------------------------------
% 17.79/3.60 # User time : 1.128 s
% 17.79/3.60 # System time : 0.136 s
% 17.79/3.60 # Total time : 1.264 s
% 17.79/3.60 # ...preprocessing : 1.203 s
% 17.79/3.60 # ...main loop : 0.061 s
% 17.79/3.60 # Maximum resident set size: 188184 pages
% 17.79/3.60
%------------------------------------------------------------------------------