TSTP Solution File: SWW285+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW285+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n029.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 : ContradictoryAxioms 15.78s 3.40s
% Output : CNFRefutation 15.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 51 ( 27 unt; 0 def)
% Number of atoms : 79 ( 34 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 7 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_dvd__0__left,axiom,
! [X17,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> ( c_Rings_Odvd__class_Odvd(X5,c_Groups_Ozero__class_Ozero(X5),X17)
=> X17 = c_Groups_Ozero__class_Ozero(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__0__left) ).
fof(fact_pe,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pe) ).
fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
! [X89] :
( class_Rings_Ocomm__semiring__1(X89)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X89)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact__096p_Advd_Aq_A_094_Adegree_Ap_096,axiom,
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/sandbox2/benchmark/theBenchmark.p',fact__096p_Advd_Aq_A_094_Adegree_Ap_096) ).
fof(fact_r,axiom,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_r) ).
fof(fact_degree__0,axiom,
! [X5] :
( class_Groups_Ozero(X5)
=> c_Polynomial_Odegree(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_degree__0) ).
fof(fact_power_Opower_Opower__0,axiom,
! [X14,X61,X62,X5] : hAPP(hAPP(c_Power_Opower_Opower(X5,X62,X61),X14),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X62,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power_Opower_Opower__0) ).
fof(fact_power__power__power,axiom,
! [X5] :
( class_Power_Opower(X5)
=> c_Power_Opower__class_Opower(X5) = c_Power_Opower_Opower(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Otimes__class_Otimes(X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_power__power__power) ).
fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(fact_poly__0,axiom,
! [X15,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> hAPP(c_Polynomial_Opoly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X15) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__0) ).
fof(fact_zero__neq__one,axiom,
! [X5] :
( class_Rings_Ozero__neq__one(X5)
=> c_Groups_Ozero__class_Ozero(X5) != c_Groups_Oone__class_Oone(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_zero__neq__one) ).
fof(fact_poly__power,axiom,
! [X15,X12,X16,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(c_Polynomial_Opoly(X5,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),X16),X12)),X15) = hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(c_Polynomial_Opoly(X5,X16),X15)),X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__power) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(arity_Complex__Ocomplex__Power_Opower,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Power_Opower) ).
fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ozero__neq__one) ).
fof(c_0_16,plain,
! [X565,X566] :
( ~ class_Rings_Ocomm__semiring__1(X566)
| ~ c_Rings_Odvd__class_Odvd(X566,c_Groups_Ozero__class_Ozero(X566),X565)
| X565 = c_Groups_Ozero__class_Ozero(X566) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__0__left])]) ).
cnf(c_0_17,plain,
( X2 = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1)
| ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_18,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_pe]) ).
fof(c_0_19,plain,
! [X3042] :
( ~ class_Rings_Ocomm__semiring__1(X3042)
| class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X3042)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])]) ).
cnf(c_0_20,plain,
( X1 = v_p
| ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
cnf(c_0_23,plain,
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(split_conjunct,[status(thm)],[fact__096p_Advd_Aq_A_094_Adegree_Ap_096]) ).
cnf(c_0_24,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
inference(split_conjunct,[status(thm)],[fact_r]) ).
fof(c_0_25,plain,
! [X304] :
( ~ class_Groups_Ozero(X304)
| c_Polynomial_Odegree(X304,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X304))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__0])]) ).
fof(c_0_26,plain,
! [X1075,X1076,X1077,X1078] : hAPP(hAPP(c_Power_Opower_Opower(X1078,X1077,X1076),X1075),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X1077,
inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__0]) ).
fof(c_0_27,plain,
! [X924] :
( ~ class_Power_Opower(X924)
| c_Power_Opower__class_Opower(X924) = c_Power_Opower_Opower(X924,c_Groups_Oone__class_Oone(X924),c_Groups_Otimes__class_Otimes(X924)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__power__power])]) ).
cnf(c_0_28,plain,
( X1 = v_p
| ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_29,plain,
c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____)),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
( c_Polynomial_Odegree(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]) ).
fof(c_0_32,plain,
! [X121,X122] :
( ~ class_Rings_Ocomm__semiring__0(X122)
| hAPP(c_Polynomial_Opoly(X122,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X122))),X121) = c_Groups_Ozero__class_Ozero(X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])]) ).
cnf(c_0_33,plain,
hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X2,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( c_Power_Opower__class_Opower(X1) = c_Power_Opower_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1))
| ~ class_Power_Opower(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_35,plain,
! [X804] :
( ~ class_Rings_Ozero__neq__one(X804)
| c_Groups_Ozero__class_Ozero(X804) != c_Groups_Oone__class_Oone(X804) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__neq__one])]) ).
fof(c_0_36,plain,
! [X258,X259,X260,X261] :
( ~ class_Rings_Ocomm__semiring__1(X261)
| hAPP(c_Polynomial_Opoly(X261,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X261)),X260),X259)),X258) = hAPP(hAPP(c_Power_Opower__class_Opower(X261),hAPP(c_Polynomial_Opoly(X261,X260),X258)),X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__power])]) ).
cnf(c_0_37,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____) = v_p,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_38,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18]) ).
cnf(c_0_39,plain,
( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(c_0_41,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1)
| ~ class_Power_Opower(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,plain,
class_Power_Opower(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Power_Opower]) ).
cnf(c_0_43,plain,
( ~ class_Rings_Ozero__neq__one(X1)
| c_Groups_Ozero__class_Ozero(X1) != c_Groups_Oone__class_Oone(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
class_Rings_Ozero__neq__one(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ozero__neq__one]) ).
cnf(c_0_45,plain,
( hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),X2),X3)),X4) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Polynomial_Opoly(X1,X2),X4)),X3)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = v_p,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_37]),c_0_38]) ).
cnf(c_0_47,plain,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_18]),c_0_40])]) ).
cnf(c_0_48,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,plain,
$false,
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_45,c_0_46]),c_0_47]),c_0_48]),c_0_22])]),c_0_49]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW285+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 11:42:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.50 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.50 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.50 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 3.82/1.70 [LightGBM] [Fatal] Data file /export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7f0ma99l/test couldn't be read
% 3.82/1.70 [32157] Failed to execute script predict4sine1
% 3.82/1.70 Traceback (most recent call last):
% 3.82/1.70 File "predict4sine1.py", line 24, in <module>
% 3.82/1.70 File "site-packages/lightgbm/basic.py", line 1037, in construct
% 3.82/1.70 File "site-packages/lightgbm/basic.py", line 833, in _lazy_init
% 3.82/1.70 File "site-packages/lightgbm/basic.py", line 47, in _safe_call
% 3.82/1.70 lightgbm.basic.LightGBMError: Data file /export/starexec/sandbox2/tmp/enigma-theBenchmark.p-7f0ma99l/test couldn't be read
% 15.78/3.40 # ENIGMATIC: Solved by autoschedule:
% 15.78/3.40 # No SInE strategy applied
% 15.78/3.40 # Trying AutoSched0 for 150 seconds
% 15.78/3.40 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 15.78/3.40 # and selection function SelectComplexExceptUniqMaxHorn.
% 15.78/3.40 #
% 15.78/3.40 # Preprocessing time : 0.081 s
% 15.78/3.40 # Presaturation interreduction done
% 15.78/3.40
% 15.78/3.40 # Proof found!
% 15.78/3.40 # SZS status ContradictoryAxioms
% 15.78/3.40 # SZS output start CNFRefutation
% See solution above
% 15.78/3.41 # Training examples: 0 positive, 0 negative
% 15.78/3.41
% 15.78/3.41 # -------------------------------------------------
% 15.78/3.41 # User time : 1.146 s
% 15.78/3.41 # System time : 0.035 s
% 15.78/3.41 # Total time : 1.181 s
% 15.78/3.41 # Maximum resident set size: 7372 pages
% 15.78/3.41
%------------------------------------------------------------------------------