TSTP Solution File: SWW287+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW287+1 : TPTP v8.1.0. Released v5.2.0.
% 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 : Thu Jul 21 00:01:54 EDT 2022
% Result : Theorem 9.01s 2.97s
% Output : CNFRefutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 10 unt; 8 nHn; 30 RR)
% Number of literals : 61 ( 45 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_215,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk2_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_215) ).
cnf(i_0_563,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_563) ).
cnf(i_0_218,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_218) ).
cnf(i_0_1172,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_1172) ).
cnf(i_0_216,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk2_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_216) ).
cnf(i_0_212,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_212) ).
cnf(i_0_210,negated_conjecture,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_210) ).
cnf(i_0_1337,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_1337) ).
cnf(i_0_214,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-fwup14p7/lgb.p',i_0_214) ).
cnf(c_0_1347,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk2_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
i_0_215 ).
cnf(c_0_1348,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
i_0_563 ).
cnf(c_0_1349,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ),
i_0_218 ).
cnf(c_0_1350,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_n____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),
i_0_1172 ).
cnf(c_0_1351,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk2_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
i_0_216 ).
cnf(c_0_1352,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
i_0_212 ).
cnf(c_0_1353,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk2_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(sr,[status(thm)],[c_0_1347,c_0_1348]) ).
cnf(c_0_1354,negated_conjecture,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = v_p
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))))
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
i_0_210 ).
cnf(c_0_1355,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_p,
i_0_1337 ).
cnf(c_0_1356,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
inference(rw,[status(thm)],[c_0_1349,c_0_1350]) ).
cnf(c_0_1357,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk2_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
inference(sr,[status(thm)],[c_0_1351,c_0_1348]) ).
cnf(c_0_1358,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk2_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_1352,c_0_1353]) ).
cnf(c_0_1359,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_1354,c_0_1355]),c_0_1356]) ).
cnf(c_0_1360,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk2_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_1352,c_0_1357]) ).
cnf(c_0_1361,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))) ),
i_0_214 ).
cnf(c_0_1362,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_1358,c_0_1359]),c_0_1360]) ).
cnf(c_0_1363,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk2_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_1361,c_0_1357]) ).
cnf(c_0_1364,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_1362,c_0_1359]) ).
cnf(c_0_1365,negated_conjecture,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk1_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk2_0) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_1361,c_0_1353]) ).
cnf(c_0_1366,negated_conjecture,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk2_0) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(sr,[status(thm)],[c_0_1363,c_0_1364]) ).
cnf(c_0_1367,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1365,c_0_1359]),c_0_1366])]),c_0_1364]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW287+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % 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 5 21:52:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 # ENIGMATIC: Selected SinE mode:
% 0.18/0.51 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.51 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.51 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.01/2.97 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.01/2.97 # No SInE strategy applied
% 9.01/2.97 # Trying AutoSched0 for 150 seconds
% 9.01/2.97 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 9.01/2.97 # and selection function PSelectComplexExceptUniqMaxHorn.
% 9.01/2.97 #
% 9.01/2.97 # Preprocessing time : 0.068 s
% 9.01/2.97
% 9.01/2.97 # Proof found!
% 9.01/2.97 # SZS status Theorem
% 9.01/2.97 # SZS output start CNFRefutation
% See solution above
% 9.01/2.97 # Training examples: 0 positive, 0 negative
% 9.01/2.97
% 9.01/2.97 # -------------------------------------------------
% 9.01/2.97 # User time : 0.072 s
% 9.01/2.97 # System time : 0.006 s
% 9.01/2.97 # Total time : 0.078 s
% 9.01/2.97 # Maximum resident set size: 7388 pages
% 9.01/2.97
%------------------------------------------------------------------------------