TSTP Solution File: SWW256+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW256+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n022.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 00:01:50 EDT 2022
% Result : Theorem 9.25s 3.06s
% Output : CNFRefutation 9.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 19 unt; 2 nHn; 14 RR)
% Number of literals : 37 ( 20 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_288,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_288) ).
cnf(i_0_1291,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_1291) ).
cnf(i_0_1427,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
| ~ class_Power_Opower(X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_1427) ).
cnf(i_0_21,plain,
class_Power_Opower(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_21) ).
cnf(i_0_686,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != v_k____,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_686) ).
cnf(i_0_444,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_444) ).
cnf(i_0_29,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_29) ).
cnf(i_0_1632,plain,
( c_Groups_Oone__class_Oone(X1) != c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ozero__neq__one(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_1632) ).
cnf(i_0_43,plain,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_43) ).
cnf(i_0_1358,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),X2) = c_Groups_Oone__class_Oone(X1)
| ~ class_Groups_Omonoid__mult(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_1358) ).
cnf(i_0_14,plain,
class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-47go4odv/lgb.p',i_0_14) ).
cnf(c_0_1644,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
i_0_288 ).
cnf(c_0_1645,plain,
c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1) = X1,
i_0_1291 ).
cnf(c_0_1646,negated_conjecture,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_1644,c_0_1645]),c_0_1645]) ).
cnf(c_0_1647,plain,
( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
| ~ class_Power_Opower(X2) ),
i_0_1427 ).
cnf(c_0_1648,plain,
class_Power_Opower(tc_Complex_Ocomplex),
i_0_21 ).
cnf(c_0_1649,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != v_k____,
i_0_686 ).
cnf(c_0_1650,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
i_0_444 ).
cnf(c_0_1651,negated_conjecture,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),v_k____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1646,c_0_1647]),c_0_1648])]),c_0_1649]) ).
cnf(c_0_1652,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
i_0_29 ).
cnf(c_0_1653,plain,
( c_Groups_Oone__class_Oone(X1) != c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ozero__neq__one(X1) ),
i_0_1632 ).
cnf(c_0_1654,plain,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
i_0_43 ).
cnf(c_0_1655,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),X2) = c_Groups_Oone__class_Oone(X1)
| ~ class_Groups_Omonoid__mult(X1) ),
i_0_1358 ).
cnf(c_0_1656,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),v_k____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1650,c_0_1651]),c_0_1652])]) ).
cnf(c_0_1657,plain,
class_Groups_Omonoid__mult(tc_Complex_Ocomplex),
i_0_14 ).
cnf(c_0_1658,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_1653,c_0_1654]) ).
cnf(c_0_1659,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_1655,c_0_1656]),c_0_1657])]),c_0_1658]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW256+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.35 % Computer : n022.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 : Sat Jun 4 08:52:38 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.20/0.47 # ENIGMATIC: Selected SinE mode:
% 0.35/0.54 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.54 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.35/0.54 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.35/0.54 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.25/3.06 # ENIGMATIC: Solved by autoschedule-lgb:
% 9.25/3.06 # No SInE strategy applied
% 9.25/3.06 # Trying AutoSched0 for 150 seconds
% 9.25/3.06 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S0Y
% 9.25/3.06 # and selection function SelectMaxLComplexAvoidPosPred.
% 9.25/3.06 #
% 9.25/3.06 # Preprocessing time : 0.066 s
% 9.25/3.06
% 9.25/3.06 # Proof found!
% 9.25/3.06 # SZS status Theorem
% 9.25/3.06 # SZS output start CNFRefutation
% See solution above
% 9.25/3.06 # Training examples: 0 positive, 0 negative
% 9.25/3.06
% 9.25/3.06 # -------------------------------------------------
% 9.25/3.06 # User time : 0.071 s
% 9.25/3.06 # System time : 0.008 s
% 9.25/3.06 # Total time : 0.078 s
% 9.25/3.06 # Maximum resident set size: 7400 pages
% 9.25/3.06
%------------------------------------------------------------------------------