TSTP Solution File: SWC379+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWC379+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 20:15:19 EDT 2022
% Result : Theorem 7.62s 2.44s
% Output : CNFRefutation 7.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 63 ( 11 unt; 27 nHn; 63 RR)
% Number of literals : 175 ( 29 equ; 90 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_199,negated_conjecture,
( memberP(esk51_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk50_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_199) ).
cnf(i_0_205,negated_conjecture,
esk49_0 = esk51_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_205) ).
cnf(i_0_196,negated_conjecture,
( memberP(esk48_0,esk53_0)
| memberP(esk49_0,esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_196) ).
cnf(i_0_204,negated_conjecture,
esk50_0 = esk48_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_204) ).
cnf(i_0_201,negated_conjecture,
( memberP(esk50_0,X1)
| leq(esk52_1(X1),X1)
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_201) ).
cnf(i_0_197,negated_conjecture,
ssItem(esk53_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_197) ).
cnf(i_0_202,negated_conjecture,
( memberP(esk50_0,X1)
| memberP(esk51_0,esk52_1(X1))
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_202) ).
cnf(i_0_203,negated_conjecture,
( ssItem(esk52_1(X1))
| memberP(esk50_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_203) ).
cnf(i_0_192,negated_conjecture,
( leq(esk54_0,esk53_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk49_0,esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_192) ).
cnf(i_0_195,negated_conjecture,
( esk53_0 = X1
| memberP(esk48_0,esk53_0)
| ~ ssItem(X1)
| ~ leq(X1,esk53_0)
| ~ memberP(esk49_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_195) ).
cnf(i_0_193,negated_conjecture,
( memberP(esk49_0,esk54_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk49_0,esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_193) ).
cnf(i_0_194,negated_conjecture,
( ssItem(esk54_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk49_0,esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_194) ).
cnf(i_0_198,negated_conjecture,
( X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ memberP(esk50_0,X2)
| ~ memberP(esk51_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_198) ).
cnf(i_0_200,negated_conjecture,
( memberP(esk50_0,X1)
| esk52_1(X1) != X1
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_200) ).
cnf(i_0_191,negated_conjecture,
( esk54_0 != esk53_0
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk49_0,esk53_0) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-qw3i6cle/lgb.p',i_0_191) ).
cnf(c_0_221,negated_conjecture,
( memberP(esk51_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk50_0,X1) ),
i_0_199 ).
cnf(c_0_222,negated_conjecture,
esk49_0 = esk51_0,
i_0_205 ).
cnf(c_0_223,negated_conjecture,
( memberP(esk48_0,esk53_0)
| memberP(esk49_0,esk53_0) ),
i_0_196 ).
cnf(c_0_224,negated_conjecture,
esk50_0 = esk48_0,
i_0_204 ).
cnf(c_0_225,negated_conjecture,
( memberP(esk50_0,X1)
| leq(esk52_1(X1),X1)
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1) ),
i_0_201 ).
cnf(c_0_226,negated_conjecture,
( memberP(esk49_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk50_0,X1) ),
inference(rw,[status(thm)],[c_0_221,c_0_222]) ).
cnf(c_0_227,negated_conjecture,
( memberP(esk50_0,esk53_0)
| memberP(esk49_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_223,c_0_224]) ).
cnf(c_0_228,negated_conjecture,
ssItem(esk53_0),
i_0_197 ).
cnf(c_0_229,negated_conjecture,
( memberP(esk50_0,X1)
| memberP(esk51_0,esk52_1(X1))
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1) ),
i_0_202 ).
cnf(c_0_230,negated_conjecture,
( ssItem(esk52_1(X1))
| memberP(esk50_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1) ),
i_0_203 ).
cnf(c_0_231,negated_conjecture,
( leq(esk54_0,esk53_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk49_0,esk53_0) ),
i_0_192 ).
cnf(c_0_232,negated_conjecture,
( esk53_0 = X1
| memberP(esk48_0,esk53_0)
| ~ ssItem(X1)
| ~ leq(X1,esk53_0)
| ~ memberP(esk49_0,X1) ),
i_0_195 ).
cnf(c_0_233,negated_conjecture,
( leq(esk52_1(X1),X1)
| memberP(esk50_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk49_0,X1) ),
inference(rw,[status(thm)],[c_0_225,c_0_222]) ).
cnf(c_0_234,negated_conjecture,
memberP(esk49_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228])]) ).
cnf(c_0_235,negated_conjecture,
( memberP(esk49_0,esk52_1(X1))
| memberP(esk50_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk49_0,X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_222]),c_0_222]) ).
cnf(c_0_236,negated_conjecture,
( ssItem(esk52_1(X1))
| memberP(esk50_0,X1)
| ~ ssItem(X1)
| ~ memberP(esk49_0,X1) ),
inference(rw,[status(thm)],[c_0_230,c_0_222]) ).
cnf(c_0_237,negated_conjecture,
( memberP(esk49_0,esk54_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk49_0,esk53_0) ),
i_0_193 ).
cnf(c_0_238,negated_conjecture,
( ssItem(esk54_0)
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk49_0,esk53_0) ),
i_0_194 ).
cnf(c_0_239,negated_conjecture,
( leq(esk54_0,esk53_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk50_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_231,c_0_224]) ).
cnf(c_0_240,negated_conjecture,
( esk53_0 = X1
| memberP(esk50_0,esk53_0)
| ~ ssItem(X1)
| ~ leq(X1,esk53_0)
| ~ memberP(esk49_0,X1) ),
inference(rw,[status(thm)],[c_0_232,c_0_224]) ).
cnf(c_0_241,negated_conjecture,
( leq(esk52_1(esk53_0),esk53_0)
| memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_228])]) ).
cnf(c_0_242,negated_conjecture,
( memberP(esk49_0,esk52_1(esk53_0))
| memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_234]),c_0_228])]) ).
cnf(c_0_243,negated_conjecture,
( ssItem(esk52_1(esk53_0))
| memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_234]),c_0_228])]) ).
cnf(c_0_244,negated_conjecture,
( memberP(esk49_0,esk54_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk50_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_237,c_0_224]) ).
cnf(c_0_245,negated_conjecture,
( ssItem(esk54_0)
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk50_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_238,c_0_224]) ).
cnf(c_0_246,negated_conjecture,
( X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ memberP(esk50_0,X2)
| ~ memberP(esk51_0,X1) ),
i_0_198 ).
cnf(c_0_247,negated_conjecture,
( leq(esk54_0,esk53_0)
| ~ memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_234])]) ).
cnf(c_0_248,negated_conjecture,
( esk52_1(esk53_0) = esk53_0
| memberP(esk50_0,esk53_0) ),
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_249,negated_conjecture,
( memberP(esk49_0,esk54_0)
| ~ memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_234])]) ).
cnf(c_0_250,negated_conjecture,
( ssItem(esk54_0)
| ~ memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_234])]) ).
cnf(c_0_251,negated_conjecture,
( memberP(esk50_0,X1)
| esk52_1(X1) != X1
| ~ ssItem(X1)
| ~ memberP(esk51_0,X1) ),
i_0_200 ).
cnf(c_0_252,negated_conjecture,
( X1 = X2
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ memberP(esk49_0,X1)
| ~ memberP(esk50_0,X2) ),
inference(rw,[status(thm)],[c_0_246,c_0_222]) ).
cnf(c_0_253,negated_conjecture,
( esk52_1(esk53_0) = esk53_0
| leq(esk54_0,esk53_0) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_254,negated_conjecture,
( esk52_1(esk53_0) = esk53_0
| memberP(esk49_0,esk54_0) ),
inference(spm,[status(thm)],[c_0_249,c_0_248]) ).
cnf(c_0_255,negated_conjecture,
( esk52_1(esk53_0) = esk53_0
| ssItem(esk54_0) ),
inference(spm,[status(thm)],[c_0_250,c_0_248]) ).
cnf(c_0_256,negated_conjecture,
( memberP(esk50_0,X1)
| esk52_1(X1) != X1
| ~ ssItem(X1)
| ~ memberP(esk49_0,X1) ),
inference(rw,[status(thm)],[c_0_251,c_0_222]) ).
cnf(c_0_257,negated_conjecture,
( esk52_1(esk53_0) = esk53_0
| esk54_0 = esk53_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_228])]),c_0_248]),c_0_254]),c_0_255]) ).
cnf(c_0_258,negated_conjecture,
( esk54_0 != esk53_0
| ~ memberP(esk48_0,esk53_0)
| ~ memberP(esk49_0,esk53_0) ),
i_0_191 ).
cnf(c_0_259,negated_conjecture,
( esk54_0 = esk53_0
| memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_228]),c_0_234])]) ).
cnf(c_0_260,negated_conjecture,
( esk54_0 != esk53_0
| ~ memberP(esk49_0,esk53_0)
| ~ memberP(esk50_0,esk53_0) ),
inference(rw,[status(thm)],[c_0_258,c_0_224]) ).
cnf(c_0_261,negated_conjecture,
( esk54_0 = esk53_0
| leq(esk54_0,esk53_0) ),
inference(spm,[status(thm)],[c_0_247,c_0_259]) ).
cnf(c_0_262,negated_conjecture,
( esk54_0 = esk53_0
| memberP(esk49_0,esk54_0) ),
inference(spm,[status(thm)],[c_0_249,c_0_259]) ).
cnf(c_0_263,negated_conjecture,
( esk54_0 = esk53_0
| ssItem(esk54_0) ),
inference(spm,[status(thm)],[c_0_250,c_0_259]) ).
cnf(c_0_264,negated_conjecture,
( esk54_0 != esk53_0
| ~ memberP(esk50_0,esk53_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_234])]) ).
cnf(c_0_265,negated_conjecture,
esk54_0 = esk53_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_261]),c_0_228])]),c_0_259]),c_0_262]),c_0_263]) ).
cnf(c_0_266,negated_conjecture,
~ memberP(esk50_0,esk53_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_265])]) ).
cnf(c_0_267,negated_conjecture,
esk52_1(esk53_0) = esk53_0,
inference(sr,[status(thm)],[c_0_248,c_0_266]) ).
cnf(c_0_268,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_267]),c_0_228]),c_0_234])]),c_0_266]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC379+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n020.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 20:25:07 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
% 7.62/2.44 # ENIGMATIC: Solved by autoschedule-lgb:
% 7.62/2.44 # No SInE strategy applied
% 7.62/2.44 # Trying AutoSched0 for 150 seconds
% 7.62/2.44 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S085I
% 7.62/2.44 # and selection function SelectCQArNp.
% 7.62/2.44 #
% 7.62/2.44 # Preprocessing time : 0.023 s
% 7.62/2.44 # Presaturation interreduction done
% 7.62/2.44
% 7.62/2.44 # Proof found!
% 7.62/2.44 # SZS status Theorem
% 7.62/2.44 # SZS output start CNFRefutation
% See solution above
% 7.62/2.44 # Training examples: 0 positive, 0 negative
% 7.62/2.44
% 7.62/2.44 # -------------------------------------------------
% 7.62/2.44 # User time : 0.026 s
% 7.62/2.44 # System time : 0.006 s
% 7.62/2.44 # Total time : 0.031 s
% 7.62/2.44 # Maximum resident set size: 7124 pages
% 7.62/2.44
%------------------------------------------------------------------------------