%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWW272+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 00:10:26 EDT 2022
% Result : Theorem 0.32s 1.51s
% Output : CNFRefutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 45 ( 21 unt; 0 def)
% Number of atoms : 97 ( 31 equ)
% Maximal formula atoms : 24 ( 2 avg)
% Number of connectives : 97 ( 45 ~; 37 |; 6 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 6 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conj_0) ).
fof(fact_smult__0__left,axiom,
! [X15,X5] :
( class_Rings_Ocomm__semiring__0(X5)
=> c_Polynomial_Osmult(X5,c_Groups_Ozero__class_Ozero(X5),X15) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_smult__0__left) ).
fof(fact_smult__dvd__iff,axiom,
! [X16,X8,X13,X5] :
( class_Fields_Ofield(X5)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5)),c_Polynomial_Osmult(X5,X13,X8)),X16))
<=> ( ( X13 = c_Groups_Ozero__class_Ozero(X5)
=> X16 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)) )
& ( X13 != c_Groups_Ozero__class_Ozero(X5)
=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5)),X8),X16)) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_smult__dvd__iff) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(fact_dvd__triv__right,axiom,
! [X28,X19,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X5),X19),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X28),X19))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_dvd__triv__right) ).
fof(fact_s,axiom,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_s) ).
fof(fact_ap_I2_J,axiom,
~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Nat_OSuc(c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),v_pa____)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_ap_I2_J) ).
fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
! [X22,X14,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X5),X14),c_Nat_OSuc(X22)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X14),X22)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J) ).
fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,
! [X91] :
( class_Rings_Ocomm__semiring__1(X91)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X91)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(fact_dvd__0__right,axiom,
! [X19,X5] :
( class_Rings_Ocomm__semiring__1(X5)
=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X5),X19),c_Groups_Ozero__class_Ozero(X5))) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',fact_dvd__0__right) ).
fof(c_0_12,negated_conjecture,
~ ( v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_13,plain,
! [X16,X17] :
( ~ class_Rings_Ocomm__semiring__0(X17)
| c_Polynomial_Osmult(X17,c_Groups_Ozero__class_Ozero(X17),X16) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X17)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__left])]) ).
fof(c_0_14,negated_conjecture,
v_s____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X17,X18,X19,X20] :
( ( X19 != c_Groups_Ozero__class_Ozero(X20)
| X17 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X20))
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),c_Polynomial_Osmult(X20,X19,X18)),X17))
| ~ class_Fields_Ofield(X20) )
& ( X19 = c_Groups_Ozero__class_Ozero(X20)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),X18),X17))
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),c_Polynomial_Osmult(X20,X19,X18)),X17))
| ~ class_Fields_Ofield(X20) )
& ( X19 != c_Groups_Ozero__class_Ozero(X20)
| X19 = c_Groups_Ozero__class_Ozero(X20)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),c_Polynomial_Osmult(X20,X19,X18)),X17))
| ~ class_Fields_Ofield(X20) )
& ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),X18),X17))
| X19 = c_Groups_Ozero__class_Ozero(X20)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),c_Polynomial_Osmult(X20,X19,X18)),X17))
| ~ class_Fields_Ofield(X20) )
& ( X19 != c_Groups_Ozero__class_Ozero(X20)
| X17 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X20))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),c_Polynomial_Osmult(X20,X19,X18)),X17))
| ~ class_Fields_Ofield(X20) )
& ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),X18),X17))
| X17 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X20))
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X20)),c_Polynomial_Osmult(X20,X19,X18)),X17))
| ~ class_Fields_Ofield(X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__dvd__iff])])]) ).
cnf(c_0_16,plain,
( c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
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]) ).
cnf(c_0_18,negated_conjecture,
v_s____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X29,X30,X31] :
( ~ class_Rings_Ocomm__semiring__1(X31)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X31),X30),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X31),X29),X30))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__triv__right])]) ).
cnf(c_0_20,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(split_conjunct,[status(thm)],[fact_s]) ).
fof(c_0_21,plain,
~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Nat_OSuc(c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),v_pa____)),
inference(fof_simplification,[status(thm)],[fact_ap_I2_J]) ).
cnf(c_0_22,plain,
( X4 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Fields_Ofield(X1)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1)),c_Polynomial_Osmult(X1,X2,X3)),X4))
| X2 != c_Groups_Ozero__class_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),X1) = v_s____,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_24,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]) ).
cnf(c_0_25,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____) = v_pa____,
inference(rw,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_27,plain,
~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Nat_OSuc(c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),v_pa____)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_28,plain,
! [X23,X24,X25] :
( ~ class_Rings_Ocomm__semiring__1(X25)
| hAPP(hAPP(c_Power_Opower__class_Opower(X25),X24),c_Nat_OSuc(X23)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X25),X24),hAPP(hAPP(c_Power_Opower__class_Opower(X25),X24),X23)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J])]) ).
cnf(c_0_29,plain,
( X1 = v_s____
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]),c_0_24])]) ).
cnf(c_0_30,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_pa____))
| ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_31,plain,
! [X92] :
( ~ class_Rings_Ocomm__semiring__1(X92)
| class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X92)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])]) ).
cnf(c_0_32,plain,
~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Nat_OSuc(c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),v_pa____)),
inference(rw,[status(thm)],[c_0_27,c_0_18]) ).
cnf(c_0_33,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( v_pa____ = v_s____
| ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_36,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).
fof(c_0_37,plain,
! [X20,X21] :
( ~ class_Rings_Ocomm__semiring__1(X21)
| hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X21),X20),c_Groups_Ozero__class_Ozero(X21))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__0__right])]) ).
cnf(c_0_38,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),v_pa____)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
v_pa____ = v_s____,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_40,plain,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X1),X2),c_Groups_Ozero__class_Ozero(X1)))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_41,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_s____))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_s____)))),v_s____)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_39]),c_0_39]) ).
cnf(c_0_42,negated_conjecture,
( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),v_s____))
| ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(spm,[status(thm)],[c_0_40,c_0_18]) ).
cnf(c_0_43,negated_conjecture,
~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW272+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n022.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 : Mon Jun 6 06:40:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.51 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.32/1.51 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.32/1.51 # Preprocessing time : 0.057 s
% 0.32/1.51
% 0.32/1.51 # Proof found!
% 0.32/1.51 # SZS status Theorem
% 0.32/1.51 # SZS output start CNFRefutation
% See solution above
% 0.32/1.51 # Proof object total steps : 45
% 0.32/1.51 # Proof object clause steps : 24
% 0.32/1.51 # Proof object formula steps : 21
% 0.32/1.51 # Proof object conjectures : 7
% 0.32/1.51 # Proof object clause conjectures : 4
% 0.32/1.51 # Proof object formula conjectures : 3
% 0.32/1.51 # Proof object initial clauses used : 12
% 0.32/1.51 # Proof object initial formulas used : 12
% 0.32/1.51 # Proof object generating inferences : 9
% 0.32/1.51 # Proof object simplifying inferences : 12
% 0.32/1.51 # Training examples: 0 positive, 0 negative
% 0.32/1.51 # Parsed axioms : 1206
% 0.32/1.51 # Removed by relevancy pruning/SinE : 1105
% 0.32/1.51 # Initial clauses : 111
% 0.32/1.51 # Removed in clause preprocessing : 1
% 0.32/1.51 # Initial clauses in saturation : 110
% 0.32/1.51 # Processed clauses : 296
% 0.32/1.51 # ...of these trivial : 34
% 0.32/1.51 # ...subsumed : 52
% 0.32/1.51 # ...remaining for further processing : 210
% 0.32/1.51 # Other redundant clauses eliminated : 0
% 0.32/1.51 # Clauses deleted for lack of memory : 0
% 0.32/1.51 # Backward-subsumed : 0
% 0.32/1.51 # Backward-rewritten : 16
% 0.32/1.51 # Generated clauses : 2092
% 0.32/1.51 # ...of the previous two non-trivial : 1867
% 0.32/1.51 # Contextual simplify-reflections : 13
% 0.32/1.51 # Paramodulations : 2089
% 0.32/1.51 # Factorizations : 0
% 0.32/1.51 # Equation resolutions : 3
% 0.32/1.51 # Current number of processed clauses : 194
% 0.32/1.51 # Positive orientable unit clauses : 54
% 0.32/1.51 # Positive unorientable unit clauses: 4
% 0.32/1.51 # Negative unit clauses : 3
% 0.32/1.51 # Non-unit-clauses : 133
% 0.32/1.51 # Current number of unprocessed clauses: 1572
% 0.32/1.51 # ...number of literals in the above : 3420
% 0.32/1.51 # Current number of archived formulas : 0
% 0.32/1.51 # Current number of archived clauses : 16
% 0.32/1.51 # Clause-clause subsumption calls (NU) : 1569
% 0.32/1.51 # Rec. Clause-clause subsumption calls : 1328
% 0.32/1.51 # Non-unit clause-clause subsumptions : 62
% 0.32/1.51 # Unit Clause-clause subsumption calls : 172
% 0.32/1.51 # Rewrite failures with RHS unbound : 0
% 0.32/1.51 # BW rewrite match attempts : 392
% 0.32/1.51 # BW rewrite match successes : 29
% 0.32/1.51 # Condensation attempts : 0
% 0.32/1.51 # Condensation successes : 0
% 0.32/1.51 # Termbank termtop insertions : 68335
% 0.32/1.51
% 0.32/1.51 # -------------------------------------------------
% 0.32/1.51 # User time : 0.107 s
% 0.32/1.51 # System time : 0.006 s
% 0.32/1.51 # Total time : 0.113 s
% 0.32/1.51 # Maximum resident set size: 6420 pages
% 0.32/23.53 eprover: CPU time limit exceeded, terminating
% 0.32/23.54 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.54 eprover: No such file or directory
% 0.32/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.55 eprover: No such file or directory
% 0.32/23.55 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.55 eprover: No such file or directory
% 0.32/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.56 eprover: No such file or directory
% 0.32/23.56 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.56 eprover: No such file or directory
% 0.32/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.57 eprover: No such file or directory
% 0.32/23.57 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.57 eprover: No such file or directory
% 0.32/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.58 eprover: No such file or directory
% 0.32/23.58 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.58 eprover: No such file or directory
% 0.32/23.59 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.59 eprover: No such file or directory
% 0.32/23.60 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.32/23.60 eprover: No such file or directory
%------------------------------------------------------------------------------