TSTP Solution File: SWV055+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 : Wed Jul 20 17:45:40 EDT 2022
% Result : Theorem 10.00s 2.82s
% Output : CNFRefutation 10.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of clauses : 81 ( 50 unt; 12 nHn; 59 RR)
% Number of literals : 141 ( 49 equ; 53 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-3 aty)
% Number of variables : 44 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_165,plain,
plus(plus(X1,n1),n1) = plus(X1,n2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_165) ).
cnf(i_0_162,plain,
plus(n1,X1) = plus(X1,n1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_162) ).
cnf(i_0_157,plain,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_157) ).
cnf(i_0_158,plain,
plus(plus(n0,n1),n1) = n2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_158) ).
cnf(i_0_167,plain,
plus(plus(plus(X1,n1),n1),n1) = plus(X1,n3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_167) ).
cnf(i_0_159,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_159) ).
cnf(i_0_169,plain,
plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(X1,n4),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_169) ).
cnf(i_0_160,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_160) ).
cnf(i_0_168,plain,
plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(n4,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_168) ).
cnf(i_0_161,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_161) ).
cnf(i_0_4,negated_conjecture,
( leq(esk1_0,minus(n0,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_4) ).
cnf(i_0_12,negated_conjecture,
leq(n0,pv10),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_12) ).
cnf(i_0_11,negated_conjecture,
leq(pv10,minus(n135300,n1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_11) ).
cnf(i_0_143,plain,
minus(plus(X1,n1),n1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_143) ).
cnf(i_0_10,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv10,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_10) ).
cnf(i_0_6,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(n0,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_6) ).
cnf(i_0_5,negated_conjecture,
( leq(esk1_0,minus(n0,n1))
| leq(esk3_0,minus(pv10,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_5) ).
cnf(i_0_7,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_7) ).
cnf(i_0_54,plain,
( gt(X1,X2)
| ~ leq(X2,minus(X1,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_54) ).
cnf(i_0_9,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_9) ).
cnf(i_0_8,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_8) ).
cnf(i_0_50,plain,
~ gt(X1,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_50) ).
cnf(i_0_59,plain,
( gt(plus(X1,n1),X2)
| ~ leq(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_59) ).
cnf(i_0_51,plain,
( leq(X1,X2)
| ~ gt(X2,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_51) ).
cnf(i_0_172,plain,
plus(minus(X1,n1),n1) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_172) ).
cnf(i_0_15,plain,
( X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k9pvjrst/lgb.p',i_0_15) ).
cnf(c_0_199,plain,
plus(plus(X1,n1),n1) = plus(X1,n2),
i_0_165 ).
cnf(c_0_200,plain,
plus(n1,X1) = plus(X1,n1),
i_0_162 ).
cnf(c_0_201,plain,
plus(n0,n1) = n1,
i_0_157 ).
cnf(c_0_202,plain,
plus(plus(n0,n1),n1) = n2,
i_0_158 ).
cnf(c_0_203,plain,
plus(plus(plus(X1,n1),n1),n1) = plus(X1,n3),
i_0_167 ).
cnf(c_0_204,plain,
plus(n1,plus(X1,n1)) = plus(X1,n2),
inference(rw,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_205,plain,
plus(plus(plus(n0,n1),n1),n1) = n3,
i_0_159 ).
cnf(c_0_206,plain,
plus(n1,n0) = n1,
inference(rw,[status(thm)],[c_0_201,c_0_200]) ).
cnf(c_0_207,plain,
plus(n1,n1) = n2,
inference(rw,[status(thm)],[c_0_202,c_0_201]) ).
cnf(c_0_208,plain,
plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(X1,n4),
i_0_169 ).
cnf(c_0_209,plain,
plus(n1,plus(X1,n2)) = plus(X1,n3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_203,c_0_200]),c_0_204]),c_0_200]) ).
cnf(c_0_210,plain,
plus(plus(plus(plus(n0,n1),n1),n1),n1) = n4,
i_0_160 ).
cnf(c_0_211,plain,
plus(n1,n2) = n3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_200]),c_0_206]),c_0_207]),c_0_200]) ).
cnf(c_0_212,plain,
plus(plus(plus(plus(X1,n1),n1),n1),n1) = plus(n4,X1),
i_0_168 ).
cnf(c_0_213,plain,
plus(n1,plus(X1,n3)) = plus(X1,n4),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_200]),c_0_204]),c_0_200]),c_0_209]),c_0_200]) ).
cnf(c_0_214,plain,
plus(plus(plus(plus(plus(n0,n1),n1),n1),n1),n1) = n5,
i_0_161 ).
cnf(c_0_215,plain,
plus(n1,n3) = n4,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_200]),c_0_206]),c_0_207]),c_0_200]),c_0_211]),c_0_200]) ).
cnf(c_0_216,plain,
plus(X1,n4) = plus(n4,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_200]),c_0_204]),c_0_200]),c_0_209]),c_0_200]),c_0_213]) ).
cnf(c_0_217,negated_conjecture,
( leq(esk1_0,minus(n0,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
i_0_4 ).
cnf(c_0_218,negated_conjecture,
leq(n0,pv10),
i_0_12 ).
cnf(c_0_219,negated_conjecture,
leq(pv10,minus(n135300,n1)),
i_0_11 ).
cnf(c_0_220,plain,
minus(plus(X1,n1),n1) = X1,
i_0_143 ).
cnf(c_0_221,plain,
plus(n1,n4) = n5,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_200]),c_0_206]),c_0_207]),c_0_200]),c_0_211]),c_0_200]),c_0_215]),c_0_216]) ).
cnf(c_0_222,negated_conjecture,
( leq(esk1_0,minus(n0,n1))
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218]),c_0_219])]) ).
cnf(c_0_223,plain,
minus(n5,n1) = n4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_216]),c_0_221]) ).
cnf(c_0_224,negated_conjecture,
( sum(n0,minus(n5,n1),a_select3(q,X1,X2)) = n1
| ~ leq(n0,X1)
| ~ leq(X1,minus(pv10,n1)) ),
i_0_10 ).
cnf(c_0_225,negated_conjecture,
( leq(n0,esk3_0)
| leq(esk1_0,minus(n0,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
i_0_6 ).
cnf(c_0_226,negated_conjecture,
( leq(esk1_0,minus(n0,n1))
| leq(esk3_0,minus(pv10,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
i_0_5 ).
cnf(c_0_227,negated_conjecture,
( leq(esk1_0,minus(n0,n1))
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[c_0_222,c_0_223]) ).
cnf(c_0_228,negated_conjecture,
( sum(n0,n4,a_select3(q,X1,X2)) = n1
| ~ leq(X1,minus(pv10,n1))
| ~ leq(n0,X1) ),
inference(rw,[status(thm)],[c_0_224,c_0_223]) ).
cnf(c_0_229,negated_conjecture,
( leq(esk1_0,minus(n0,n1))
| leq(n0,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_218]),c_0_219])]) ).
cnf(c_0_230,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(esk1_0,minus(n0,n1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_218]),c_0_219])]) ).
cnf(c_0_231,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
i_0_7 ).
cnf(c_0_232,plain,
( gt(X1,X2)
| ~ leq(X2,minus(X1,n1)) ),
i_0_54 ).
cnf(c_0_233,negated_conjecture,
leq(esk1_0,minus(n0,n1)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]),c_0_230]) ).
cnf(c_0_234,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,minus(n5,n1),a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_218]),c_0_219])]) ).
cnf(c_0_235,negated_conjecture,
( leq(n0,esk1_0)
| leq(n0,esk3_0)
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
i_0_9 ).
cnf(c_0_236,negated_conjecture,
( leq(n0,esk1_0)
| leq(esk3_0,minus(pv10,n1))
| ~ leq(n0,pv10)
| ~ leq(pv10,minus(n135300,n1)) ),
i_0_8 ).
cnf(c_0_237,plain,
~ gt(X1,X1),
i_0_50 ).
cnf(c_0_238,plain,
( gt(plus(X1,n1),X2)
| ~ leq(X2,X1) ),
i_0_59 ).
cnf(c_0_239,plain,
( leq(X1,X2)
| ~ gt(X2,X1) ),
i_0_51 ).
cnf(c_0_240,plain,
gt(n0,esk1_0),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
cnf(c_0_241,negated_conjecture,
( leq(n0,esk1_0)
| sum(n0,n4,a_select3(q,esk3_0,esk4_0)) != n1 ),
inference(rw,[status(thm)],[c_0_234,c_0_223]) ).
cnf(c_0_242,negated_conjecture,
( leq(n0,esk3_0)
| leq(n0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_218]),c_0_219])]) ).
cnf(c_0_243,negated_conjecture,
( leq(esk3_0,minus(pv10,n1))
| leq(n0,esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_218]),c_0_219])]) ).
cnf(c_0_244,plain,
~ leq(plus(X1,n1),X1),
inference(spm,[status(thm)],[c_0_237,c_0_238]) ).
cnf(c_0_245,plain,
plus(minus(X1,n1),n1) = X1,
i_0_172 ).
cnf(c_0_246,plain,
( X1 = n0
| ~ leq(X1,n0)
| ~ leq(n0,X1) ),
i_0_15 ).
cnf(c_0_247,plain,
leq(esk1_0,n0),
inference(spm,[status(thm)],[c_0_239,c_0_240]) ).
cnf(c_0_248,negated_conjecture,
leq(n0,esk1_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_228]),c_0_242]),c_0_243]) ).
cnf(c_0_249,plain,
~ leq(plus(n1,X1),X1),
inference(spm,[status(thm)],[c_0_244,c_0_200]) ).
cnf(c_0_250,plain,
plus(n1,minus(X1,n1)) = X1,
inference(rw,[status(thm)],[c_0_245,c_0_200]) ).
cnf(c_0_251,plain,
esk1_0 = n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248])]) ).
cnf(c_0_252,plain,
~ leq(X1,minus(X1,n1)),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_253,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_251]),c_0_252]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV055+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 15 09:35:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 # ENIGMATIC: Selected SinE mode:
% 0.21/0.47 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.47 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.47 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.00/2.82 # ENIGMATIC: Solved by autoschedule-lgb:
% 10.00/2.82 # No SInE strategy applied
% 10.00/2.82 # Trying AutoSched0 for 150 seconds
% 10.00/2.82 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.00/2.82 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.00/2.82 #
% 10.00/2.82 # Preprocessing time : 0.024 s
% 10.00/2.82 # Presaturation interreduction done
% 10.00/2.82
% 10.00/2.82 # Proof found!
% 10.00/2.82 # SZS status Theorem
% 10.00/2.82 # SZS output start CNFRefutation
% See solution above
% 10.00/2.83 # Training examples: 0 positive, 0 negative
% 10.00/2.83
% 10.00/2.83 # -------------------------------------------------
% 10.00/2.83 # User time : 0.035 s
% 10.00/2.83 # System time : 0.007 s
% 10.00/2.83 # Total time : 0.041 s
% 10.00/2.83 # Maximum resident set size: 7128 pages
% 10.00/2.83
%------------------------------------------------------------------------------