TSTP Solution File: SWW284+1 by Enigma---0.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWW284+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 00:01:54 EDT 2022
% Result : Theorem 10.81s 3.07s
% Output : CNFRefutation 10.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 19 unt; 0 def)
% Number of atoms : 53 ( 35 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 42 ( 20 ~; 16 |; 2 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 3 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_ext,axiom,
! [X1,X2] :
( ! [X3] : hAPP(X2,X3) = hAPP(X1,X3)
=> X2 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ext) ).
fof(conj_0,hypothesis,
! [X3] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(fact_poly__0,axiom,
! [X4,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> hAPP(c_Polynomial_Opoly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X4) = c_Groups_Ozero__class_Ozero(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__0) ).
fof(fact_poly__eq__iff,axiom,
! [X7,X6,X5] :
( ( class_Int_Oring__char__0(X5)
& class_Rings_Oidom(X5) )
=> ( c_Polynomial_Opoly(X5,X6) = c_Polynomial_Opoly(X5,X7)
<=> X6 = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__eq__iff) ).
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_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(conj_1,conjecture,
v_q = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Int_Oring__char__0) ).
fof(c_0_9,plain,
! [X91,X92] :
( hAPP(X92,esk1_2(X91,X92)) != hAPP(X91,esk1_2(X91,X92))
| X92 = X91 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])]) ).
fof(c_0_10,hypothesis,
! [X3083] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3083) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(variable_rename,[status(thm)],[conj_0]) ).
fof(c_0_11,plain,
! [X94,X95] :
( ~ class_Rings_Ocomm__semiring__0(X95)
| hAPP(c_Polynomial_Opoly(X95,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X95))),X94) = c_Groups_Ozero__class_Ozero(X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])]) ).
fof(c_0_12,plain,
! [X98,X99,X100] :
( ( c_Polynomial_Opoly(X100,X99) != c_Polynomial_Opoly(X100,X98)
| X99 = X98
| ~ class_Int_Oring__char__0(X100)
| ~ class_Rings_Oidom(X100) )
& ( X99 != X98
| c_Polynomial_Opoly(X100,X99) = c_Polynomial_Opoly(X100,X98)
| ~ class_Int_Oring__char__0(X100)
| ~ class_Rings_Oidom(X100) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__eq__iff])])]) ).
cnf(c_0_13,plain,
( X1 = X2
| hAPP(X1,esk1_2(X2,X1)) != hAPP(X2,esk1_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,hypothesis,
hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,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_11]) ).
cnf(c_0_16,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[fact_pe]) ).
cnf(c_0_17,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
fof(c_0_18,negated_conjecture,
v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(assume_negation,[status(cth)],[conj_1]) ).
cnf(c_0_19,plain,
( X2 = X3
| c_Polynomial_Opoly(X1,X2) != c_Polynomial_Opoly(X1,X3)
| ~ class_Int_Oring__char__0(X1)
| ~ class_Rings_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]) ).
cnf(c_0_21,plain,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Int_Oring__char__0]) ).
cnf(c_0_22,hypothesis,
( X1 = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q)
| hAPP(X1,esk1_2(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_23,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_15,c_0_16]),c_0_17])]) ).
fof(c_0_24,negated_conjecture,
v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
cnf(c_0_25,plain,
( X1 = X2
| c_Polynomial_Opoly(tc_Complex_Ocomplex,X1) != c_Polynomial_Opoly(tc_Complex_Ocomplex,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_26,hypothesis,
c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p) = c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
v_q != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,hypothesis,
( v_p = X1
| c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q) != c_Polynomial_Opoly(tc_Complex_Ocomplex,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
v_p != v_q,
inference(rw,[status(thm)],[c_0_27,c_0_16]) ).
cnf(c_0_30,hypothesis,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW284+1 : TPTP v8.1.0. Released v5.2.0.
% 0.06/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n022.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 : Sat Jun 4 12:17:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 # ENIGMATIC: Selected SinE mode:
% 0.19/0.53 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.53 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.53 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 10.81/3.07 # ENIGMATIC: Solved by autoschedule:
% 10.81/3.07 # No SInE strategy applied
% 10.81/3.07 # Trying AutoSched0 for 150 seconds
% 10.81/3.07 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 10.81/3.07 # and selection function SelectComplexExceptUniqMaxHorn.
% 10.81/3.07 #
% 10.81/3.07 # Preprocessing time : 0.091 s
% 10.81/3.07 # Presaturation interreduction done
% 10.81/3.07
% 10.81/3.07 # Proof found!
% 10.81/3.07 # SZS status Theorem
% 10.81/3.07 # SZS output start CNFRefutation
% See solution above
% 10.81/3.07 # Training examples: 0 positive, 0 negative
% 10.81/3.07
% 10.81/3.07 # -------------------------------------------------
% 10.81/3.07 # User time : 0.242 s
% 10.81/3.07 # System time : 0.022 s
% 10.81/3.07 # Total time : 0.264 s
% 10.81/3.07 # Maximum resident set size: 7376 pages
% 10.81/3.07
%------------------------------------------------------------------------------