%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW279+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:00 PM UTC 2026
% Result : Theorem 126.06s 36.30s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 130
% Syntax : Number of formulae : 585 ( 249 unt; 109 def)
% Number of atoms : 1416 ( 407 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1552 ( 721 ~; 742 |; 0 &)
% ( 79 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 84 ( 82 usr; 80 prp; 0-2 aty)
% Number of functors : 50 ( 50 usr; 38 con; 0-3 aty)
% Number of variables : 302 ( 0 sgn 302 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = v_na____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dpn) ).
fof(f5,axiom,
v_s____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_sne) ).
fof(f6,axiom,
v_pa____ != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pne) ).
fof(f8,axiom,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_u) ).
fof(f10,axiom,
v_qa____ = 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),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_r____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_r) ).
fof(f12,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/benchmark/theBenchmark.p',fact_s) ).
fof(f21,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_degree__linear__power) ).
fof(f395,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
fof(f398,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__1(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J) ).
fof(f406,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
fof(f409,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__1(X3)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J) ).
fof(f854,axiom,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__inverse) ).
fof(f855,axiom,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__inverse2) ).
fof(f864,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__1(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) = hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J) ).
fof(f916,axiom,
! [X0,X1,X2] :
( class_Rings_Oidom(X2)
=> ( X1 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
=> ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
=> c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_degree__mult__eq) ).
fof(f926,axiom,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_nat__add__commute) ).
fof(f1125,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1147,axiom,
class_Rings_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Oidom) ).
fof(f1179,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__1(X0)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(f1214,conjecture,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_qa____),v_na____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_u____),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_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1215,negated_conjecture,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_qa____),v_na____) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_u____),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_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))))),
inference(negated_conjecture,[status(cth)],[f1214]) ).
fof(f1220,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_qa____),v_na____) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_u____),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_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))))),
inference(flattening,[],[f1215]) ).
fof(f1229,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f1669,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f395]) ).
fof(f1672,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(ennf_transformation,[],[f398]) ).
fof(f1681,plain,
! [X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f406]) ).
fof(f1684,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(ennf_transformation,[],[f409]) ).
fof(f2208,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) = hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(ennf_transformation,[],[f864]) ).
fof(f2240,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Oidom(X2) ),
inference(ennf_transformation,[],[f916]) ).
fof(f2241,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Oidom(X2) ),
inference(flattening,[],[f2240]) ).
fof(f2388,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(ennf_transformation,[],[f1179]) ).
fof(f2785,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = v_na____,
inference(cnf_transformation,[],[f4]) ).
fof(f2786,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_s____,
inference(cnf_transformation,[],[f5]) ).
fof(f2787,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_pa____,
inference(cnf_transformation,[],[f6]) ).
fof(f2789,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_s____),v_u____),
inference(cnf_transformation,[],[f8]) ).
fof(f2791,plain,
v_qa____ = 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),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_r____),
inference(cnf_transformation,[],[f10]) ).
fof(f2793,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(cnf_transformation,[],[f12]) ).
fof(f2802,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f1229]) ).
fof(f3343,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f1669]) ).
fof(f3346,plain,
! [X2,X3,X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0)
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(cnf_transformation,[],[f1672]) ).
fof(f3355,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(cnf_transformation,[],[f1681]) ).
fof(f3358,plain,
! [X2,X3,X0,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(cnf_transformation,[],[f1684]) ).
fof(f3962,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X1) = X0,
inference(cnf_transformation,[],[f854]) ).
fof(f3963,plain,
! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1,
inference(cnf_transformation,[],[f855]) ).
fof(f3977,plain,
! [X2,X3,X0,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(cnf_transformation,[],[f2208]) ).
fof(f4067,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Oidom(X2) ),
inference(cnf_transformation,[],[f2241]) ).
fof(f4081,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),
inference(cnf_transformation,[],[f926]) ).
fof(f4321,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1125]) ).
fof(f4343,plain,
class_Rings_Oidom(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1147]) ).
fof(f4375,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f2388]) ).
fof(f4410,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_qa____),v_na____) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_u____),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_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))))),
inference(cnf_transformation,[],[f1220]) ).
fof(f4559,definition,
~ sP28(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_pa____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_u____),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_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_r____),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))))),
introduced(definition,[new_symbols(definition,[sP28])],[inequality_splitting_name_introduction]) ).
fof(f4560,plain,
sP28(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_qa____),v_na____)),
inference(inequality_splitting,[],[f4410,f4559]) ).
fof(f4790,definition,
sF29 = tc_Polynomial_Opoly(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f4791,plain,
tc_Polynomial_Opoly(tc_Complex_Ocomplex) = sF29,
inference(reorient_equations,[],[f4790]) ).
fof(f4792,definition,
sF30 = c_Groups_Otimes__class_Otimes(sF29),
introduced(definition,[new_symbols(definition,[sF30])],[function_definition]) ).
fof(f4793,plain,
c_Groups_Otimes__class_Otimes(sF29) = sF30,
inference(reorient_equations,[],[f4792]) ).
fof(f4794,definition,
sF31 = c_Power_Opower__class_Opower(sF29),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f4795,plain,
c_Power_Opower__class_Opower(sF29) = sF31,
inference(reorient_equations,[],[f4794]) ).
fof(f4796,definition,
sF32 = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f4797,plain,
c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____) = sF32,
inference(reorient_equations,[],[f4796]) ).
fof(f4798,definition,
sF33 = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f4799,plain,
c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = sF33,
inference(reorient_equations,[],[f4798]) ).
fof(f4800,definition,
sF34 = c_Groups_Ozero__class_Ozero(sF29),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f4801,plain,
c_Groups_Ozero__class_Ozero(sF29) = sF34,
inference(reorient_equations,[],[f4800]) ).
fof(f4802,definition,
sF35 = c_Polynomial_OpCons(tc_Complex_Ocomplex,sF33,sF34),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f4803,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,sF33,sF34) = sF35,
inference(reorient_equations,[],[f4802]) ).
fof(f4804,definition,
sF36 = c_Polynomial_OpCons(tc_Complex_Ocomplex,sF32,sF35),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f4805,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,sF32,sF35) = sF36,
inference(reorient_equations,[],[f4804]) ).
fof(f4806,definition,
sF37 = hAPP(sF31,sF36),
introduced(definition,[new_symbols(definition,[sF37])],[function_definition]) ).
fof(f4807,plain,
hAPP(sF31,sF36) = sF37,
inference(reorient_equations,[],[f4806]) ).
fof(f4808,definition,
sF38 = c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),
introduced(definition,[new_symbols(definition,[sF38])],[function_definition]) ).
fof(f4809,plain,
c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____) = sF38,
inference(reorient_equations,[],[f4808]) ).
fof(f4810,definition,
sF39 = hAPP(sF37,sF38),
introduced(definition,[new_symbols(definition,[sF39])],[function_definition]) ).
fof(f4811,plain,
hAPP(sF37,sF38) = sF39,
inference(reorient_equations,[],[f4810]) ).
fof(f4812,definition,
sF40 = hAPP(sF30,sF39),
introduced(definition,[new_symbols(definition,[sF40])],[function_definition]) ).
fof(f4813,plain,
hAPP(sF30,sF39) = sF40,
inference(reorient_equations,[],[f4812]) ).
fof(f4817,definition,
sF42 = hAPP(sF30,sF36),
introduced(definition,[new_symbols(definition,[sF42])],[function_definition]) ).
fof(f4818,plain,
hAPP(sF30,sF36) = sF42,
inference(reorient_equations,[],[f4817]) ).
fof(f4822,definition,
sF44 = hAPP(sF31,v_r____),
introduced(definition,[new_symbols(definition,[sF44])],[function_definition]) ).
fof(f4823,plain,
hAPP(sF31,v_r____) = sF44,
inference(reorient_equations,[],[f4822]) ).
fof(f4824,definition,
sF45 = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),
introduced(definition,[new_symbols(definition,[sF45])],[function_definition]) ).
fof(f4825,plain,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____) = sF45,
inference(reorient_equations,[],[f4824]) ).
fof(f4826,definition,
sF46 = hAPP(sF44,sF45),
introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).
fof(f4827,plain,
hAPP(sF44,sF45) = sF46,
inference(reorient_equations,[],[f4826]) ).
fof(f4828,definition,
sF47 = hAPP(sF30,v_s____),
introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).
fof(f4829,plain,
hAPP(sF30,v_s____) = sF47,
inference(reorient_equations,[],[f4828]) ).
fof(f4833,definition,
sF49 = hAPP(sF30,v_pa____),
introduced(definition,[new_symbols(definition,[sF49])],[function_definition]) ).
fof(f4834,plain,
hAPP(sF30,v_pa____) = sF49,
inference(reorient_equations,[],[f4833]) ).
fof(f4835,definition,
sF50 = hAPP(sF30,v_u____),
introduced(definition,[new_symbols(definition,[sF50])],[function_definition]) ).
fof(f4836,plain,
hAPP(sF30,v_u____) = sF50,
inference(reorient_equations,[],[f4835]) ).
fof(f4837,definition,
sF51 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF38),
introduced(definition,[new_symbols(definition,[sF51])],[function_definition]) ).
fof(f4838,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF38) = sF51,
inference(reorient_equations,[],[f4837]) ).
fof(f4839,definition,
sF52 = hAPP(sF37,sF51),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f4840,plain,
hAPP(sF37,sF51) = sF52,
inference(reorient_equations,[],[f4839]) ).
fof(f4841,definition,
sF53 = hAPP(sF50,sF52),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f4842,plain,
hAPP(sF50,sF52) = sF53,
inference(reorient_equations,[],[f4841]) ).
fof(f4843,definition,
sF54 = hAPP(sF30,sF53),
introduced(definition,[new_symbols(definition,[sF54])],[function_definition]) ).
fof(f4844,plain,
hAPP(sF30,sF53) = sF54,
inference(reorient_equations,[],[f4843]) ).
fof(f4845,definition,
sF55 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF45),
introduced(definition,[new_symbols(definition,[sF55])],[function_definition]) ).
fof(f4846,plain,
c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF45) = sF55,
inference(reorient_equations,[],[f4845]) ).
fof(f4847,definition,
sF56 = hAPP(sF44,sF55),
introduced(definition,[new_symbols(definition,[sF56])],[function_definition]) ).
fof(f4848,plain,
hAPP(sF44,sF55) = sF56,
inference(reorient_equations,[],[f4847]) ).
fof(f4849,definition,
sF57 = hAPP(sF54,sF56),
introduced(definition,[new_symbols(definition,[sF57])],[function_definition]) ).
fof(f4850,plain,
hAPP(sF54,sF56) = sF57,
inference(reorient_equations,[],[f4849]) ).
fof(f4851,definition,
sF58 = hAPP(sF49,sF57),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f4852,plain,
hAPP(sF49,sF57) = sF58,
inference(reorient_equations,[],[f4851]) ).
fof(f4853,plain,
~ sP28(sF58),
inference(definition_folding,[],[f4559,f4852,f4850,f4848,f4846,f4825,f4823,f4795,f4791,f4844,f4842,f4840,f4838,f4809,f4807,f4805,f4803,f4801,f4791,f4799,f4797,f4795,f4791,f4836,f4793,f4791,f4793,f4791,f4834,f4793,f4791]) ).
fof(f4854,definition,
sF59 = hAPP(sF31,v_qa____),
introduced(definition,[new_symbols(definition,[sF59])],[function_definition]) ).
fof(f4855,plain,
hAPP(sF31,v_qa____) = sF59,
inference(reorient_equations,[],[f4854]) ).
fof(f4856,definition,
sF60 = hAPP(sF59,v_na____),
introduced(definition,[new_symbols(definition,[sF60])],[function_definition]) ).
fof(f4857,plain,
hAPP(sF59,v_na____) = sF60,
inference(reorient_equations,[],[f4856]) ).
fof(f4858,plain,
sP28(sF60),
inference(definition_folding,[],[f4560,f4857,f4855,f4795,f4791]) ).
fof(f4962,plain,
v_s____ != c_Groups_Ozero__class_Ozero(sF29),
inference(backward_demodulation,[],[f2786,f4791]) ).
fof(f4963,plain,
v_pa____ != c_Groups_Ozero__class_Ozero(sF29),
inference(backward_demodulation,[],[f2787,f4791]) ).
fof(f4964,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(sF29),v_r____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),v_s____),v_u____),
inference(backward_demodulation,[],[f2789,f4791]) ).
fof(f4965,plain,
v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),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(sF29)))),v_r____),
inference(backward_demodulation,[],[f2791,f4791]) ).
fof(f4966,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),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(sF29)))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(backward_demodulation,[],[f2793,f4791]) ).
fof(f5025,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),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(sF29)))),sF38)),v_s____),
inference(forward_demodulation,[],[f4966,f4809]) ).
fof(f5026,plain,
v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),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),sF34))),v_r____),
inference(forward_demodulation,[],[f4965,f4801]) ).
fof(f5027,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(sF29),v_r____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)) = hAPP(hAPP(sF30,v_s____),v_u____),
inference(forward_demodulation,[],[f4964,f4793]) ).
fof(f5028,plain,
v_pa____ != sF34,
inference(forward_demodulation,[],[f4963,f4801]) ).
fof(f5029,plain,
v_s____ != sF34,
inference(forward_demodulation,[],[f4962,f4801]) ).
fof(f5045,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),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),sF34))),sF38)),v_s____),
inference(forward_demodulation,[],[f5025,f4801]) ).
fof(f5046,plain,
v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,sF33,sF34))),v_r____),
inference(forward_demodulation,[],[f5026,f4799]) ).
fof(f5047,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(sF29),v_r____),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)) = hAPP(sF47,v_u____),
inference(forward_demodulation,[],[f5027,f4829]) ).
fof(f5055,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,sF33,sF34))),sF38)),v_s____),
inference(forward_demodulation,[],[f5045,f4799]) ).
fof(f5056,plain,
v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),sF35)),v_r____),
inference(forward_demodulation,[],[f5046,f4803]) ).
fof(f5057,plain,
hAPP(sF47,v_u____) = hAPP(hAPP(c_Power_Opower__class_Opower(sF29),v_r____),sF45),
inference(forward_demodulation,[],[f5047,f4825]) ).
fof(f5064,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),sF35)),sF38)),v_s____),
inference(forward_demodulation,[],[f5055,f4803]) ).
fof(f5065,plain,
v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,sF32,sF35)),v_r____),
inference(forward_demodulation,[],[f5056,f4797]) ).
fof(f5066,plain,
hAPP(sF47,v_u____) = hAPP(hAPP(sF31,v_r____),sF45),
inference(forward_demodulation,[],[f5057,f4795]) ).
fof(f5070,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,sF32,sF35)),sF38)),v_s____),
inference(forward_demodulation,[],[f5064,f4797]) ).
fof(f5071,plain,
v_qa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),sF36),v_r____),
inference(forward_demodulation,[],[f5065,f4805]) ).
fof(f5072,plain,
hAPP(sF44,sF45) = hAPP(sF47,v_u____),
inference(forward_demodulation,[],[f5066,f4823]) ).
fof(f5075,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),sF36),sF38)),v_s____),
inference(forward_demodulation,[],[f5070,f4805]) ).
fof(f5076,plain,
v_qa____ = hAPP(hAPP(sF30,sF36),v_r____),
inference(forward_demodulation,[],[f5071,f4793]) ).
fof(f5077,plain,
sF46 = hAPP(sF47,v_u____),
inference(forward_demodulation,[],[f5072,f4827]) ).
fof(f5080,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(sF31,sF36),sF38)),v_s____),
inference(forward_demodulation,[],[f5075,f4795]) ).
fof(f5081,plain,
v_qa____ = hAPP(sF42,v_r____),
inference(forward_demodulation,[],[f5076,f4818]) ).
fof(f5085,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(sF37,sF38)),v_s____),
inference(forward_demodulation,[],[f5080,f4807]) ).
fof(f5088,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),sF39),v_s____),
inference(forward_demodulation,[],[f5085,f4811]) ).
fof(f5090,plain,
v_pa____ = hAPP(hAPP(sF30,sF39),v_s____),
inference(forward_demodulation,[],[f5088,f4793]) ).
fof(f5091,plain,
v_pa____ = hAPP(sF40,v_s____),
inference(forward_demodulation,[],[f5090,f4813]) ).
fof(f5093,definition,
( spl61_1
<=> hAPP(sF59,v_na____) = sF60 ),
introduced(definition,[new_symbols(definition,[spl61_1])],[avatar_definition]) ).
fof(f5095,plain,
( hAPP(sF59,v_na____) = sF60
| ~ spl61_1 ),
inference(avatar_component_clause,[],[f5093]) ).
fof(f5096,plain,
spl61_1,
inference(avatar_split_clause,[],[f4857,f5093]) ).
fof(f5103,definition,
( spl61_3
<=> hAPP(sF49,sF57) = sF58 ),
introduced(definition,[new_symbols(definition,[spl61_3])],[avatar_definition]) ).
fof(f5105,plain,
( hAPP(sF49,sF57) = sF58
| ~ spl61_3 ),
inference(avatar_component_clause,[],[f5103]) ).
fof(f5106,plain,
spl61_3,
inference(avatar_split_clause,[],[f4852,f5103]) ).
fof(f5108,definition,
( spl61_4
<=> hAPP(sF30,v_pa____) = sF49 ),
introduced(definition,[new_symbols(definition,[spl61_4])],[avatar_definition]) ).
fof(f5110,plain,
( hAPP(sF30,v_pa____) = sF49
| ~ spl61_4 ),
inference(avatar_component_clause,[],[f5108]) ).
fof(f5111,plain,
spl61_4,
inference(avatar_split_clause,[],[f4834,f5108]) ).
fof(f5113,definition,
( spl61_5
<=> hAPP(sF31,v_r____) = sF44 ),
introduced(definition,[new_symbols(definition,[spl61_5])],[avatar_definition]) ).
fof(f5115,plain,
( hAPP(sF31,v_r____) = sF44
| ~ spl61_5 ),
inference(avatar_component_clause,[],[f5113]) ).
fof(f5116,plain,
spl61_5,
inference(avatar_split_clause,[],[f4823,f5113]) ).
fof(f5118,definition,
( spl61_6
<=> hAPP(sF30,v_s____) = sF47 ),
introduced(definition,[new_symbols(definition,[spl61_6])],[avatar_definition]) ).
fof(f5120,plain,
( hAPP(sF30,v_s____) = sF47
| ~ spl61_6 ),
inference(avatar_component_clause,[],[f5118]) ).
fof(f5121,plain,
spl61_6,
inference(avatar_split_clause,[],[f4829,f5118]) ).
fof(f5123,definition,
( spl61_7
<=> hAPP(sF31,v_qa____) = sF59 ),
introduced(definition,[new_symbols(definition,[spl61_7])],[avatar_definition]) ).
fof(f5125,plain,
( hAPP(sF31,v_qa____) = sF59
| ~ spl61_7 ),
inference(avatar_component_clause,[],[f5123]) ).
fof(f5126,plain,
spl61_7,
inference(avatar_split_clause,[],[f4855,f5123]) ).
fof(f5128,definition,
( spl61_8
<=> hAPP(sF30,v_u____) = sF50 ),
introduced(definition,[new_symbols(definition,[spl61_8])],[avatar_definition]) ).
fof(f5130,plain,
( hAPP(sF30,v_u____) = sF50
| ~ spl61_8 ),
inference(avatar_component_clause,[],[f5128]) ).
fof(f5131,plain,
spl61_8,
inference(avatar_split_clause,[],[f4836,f5128]) ).
fof(f5138,definition,
( spl61_10
<=> hAPP(sF31,sF36) = sF37 ),
introduced(definition,[new_symbols(definition,[spl61_10])],[avatar_definition]) ).
fof(f5140,plain,
( hAPP(sF31,sF36) = sF37
| ~ spl61_10 ),
inference(avatar_component_clause,[],[f5138]) ).
fof(f5141,plain,
spl61_10,
inference(avatar_split_clause,[],[f4807,f5138]) ).
fof(f5143,definition,
( spl61_11
<=> c_Polynomial_OpCons(tc_Complex_Ocomplex,sF32,sF35) = sF36 ),
introduced(definition,[new_symbols(definition,[spl61_11])],[avatar_definition]) ).
fof(f5145,plain,
( c_Polynomial_OpCons(tc_Complex_Ocomplex,sF32,sF35) = sF36
| ~ spl61_11 ),
inference(avatar_component_clause,[],[f5143]) ).
fof(f5146,plain,
spl61_11,
inference(avatar_split_clause,[],[f4805,f5143]) ).
fof(f5148,definition,
( spl61_12
<=> hAPP(sF44,sF45) = sF46 ),
introduced(definition,[new_symbols(definition,[spl61_12])],[avatar_definition]) ).
fof(f5150,plain,
( hAPP(sF44,sF45) = sF46
| ~ spl61_12 ),
inference(avatar_component_clause,[],[f5148]) ).
fof(f5151,plain,
spl61_12,
inference(avatar_split_clause,[],[f4827,f5148]) ).
fof(f5158,definition,
( spl61_14
<=> hAPP(sF30,sF53) = sF54 ),
introduced(definition,[new_symbols(definition,[spl61_14])],[avatar_definition]) ).
fof(f5160,plain,
( hAPP(sF30,sF53) = sF54
| ~ spl61_14 ),
inference(avatar_component_clause,[],[f5158]) ).
fof(f5161,plain,
spl61_14,
inference(avatar_split_clause,[],[f4844,f5158]) ).
fof(f5168,definition,
( spl61_16
<=> c_Polynomial_OpCons(tc_Complex_Ocomplex,sF33,sF34) = sF35 ),
introduced(definition,[new_symbols(definition,[spl61_16])],[avatar_definition]) ).
fof(f5170,plain,
( c_Polynomial_OpCons(tc_Complex_Ocomplex,sF33,sF34) = sF35
| ~ spl61_16 ),
inference(avatar_component_clause,[],[f5168]) ).
fof(f5171,plain,
spl61_16,
inference(avatar_split_clause,[],[f4803,f5168]) ).
fof(f5173,definition,
( spl61_17
<=> hAPP(sF30,sF39) = sF40 ),
introduced(definition,[new_symbols(definition,[spl61_17])],[avatar_definition]) ).
fof(f5175,plain,
( hAPP(sF30,sF39) = sF40
| ~ spl61_17 ),
inference(avatar_component_clause,[],[f5173]) ).
fof(f5176,plain,
spl61_17,
inference(avatar_split_clause,[],[f4813,f5173]) ).
fof(f5183,definition,
( spl61_19
<=> hAPP(sF30,sF36) = sF42 ),
introduced(definition,[new_symbols(definition,[spl61_19])],[avatar_definition]) ).
fof(f5185,plain,
( hAPP(sF30,sF36) = sF42
| ~ spl61_19 ),
inference(avatar_component_clause,[],[f5183]) ).
fof(f5186,plain,
spl61_19,
inference(avatar_split_clause,[],[f4818,f5183]) ).
fof(f5188,definition,
( spl61_20
<=> c_Groups_Otimes__class_Otimes(sF29) = sF30 ),
introduced(definition,[new_symbols(definition,[spl61_20])],[avatar_definition]) ).
fof(f5190,plain,
( c_Groups_Otimes__class_Otimes(sF29) = sF30
| ~ spl61_20 ),
inference(avatar_component_clause,[],[f5188]) ).
fof(f5191,plain,
spl61_20,
inference(avatar_split_clause,[],[f4793,f5188]) ).
fof(f5193,definition,
( spl61_21
<=> sP28(sF58) ),
introduced(definition,[new_symbols(definition,[spl61_21])],[avatar_definition]) ).
fof(f5195,plain,
( ~ sP28(sF58)
| spl61_21 ),
inference(avatar_component_clause,[],[f5193]) ).
fof(f5196,plain,
~ spl61_21,
inference(avatar_split_clause,[],[f4853,f5193]) ).
fof(f5198,definition,
( spl61_22
<=> hAPP(sF37,sF51) = sF52 ),
introduced(definition,[new_symbols(definition,[spl61_22])],[avatar_definition]) ).
fof(f5200,plain,
( hAPP(sF37,sF51) = sF52
| ~ spl61_22 ),
inference(avatar_component_clause,[],[f5198]) ).
fof(f5201,plain,
spl61_22,
inference(avatar_split_clause,[],[f4840,f5198]) ).
fof(f5203,definition,
( spl61_23
<=> hAPP(sF44,sF55) = sF56 ),
introduced(definition,[new_symbols(definition,[spl61_23])],[avatar_definition]) ).
fof(f5205,plain,
( hAPP(sF44,sF55) = sF56
| ~ spl61_23 ),
inference(avatar_component_clause,[],[f5203]) ).
fof(f5206,plain,
spl61_23,
inference(avatar_split_clause,[],[f4848,f5203]) ).
fof(f5208,definition,
( spl61_24
<=> hAPP(sF37,sF38) = sF39 ),
introduced(definition,[new_symbols(definition,[spl61_24])],[avatar_definition]) ).
fof(f5210,plain,
( hAPP(sF37,sF38) = sF39
| ~ spl61_24 ),
inference(avatar_component_clause,[],[f5208]) ).
fof(f5211,plain,
spl61_24,
inference(avatar_split_clause,[],[f4811,f5208]) ).
fof(f5213,definition,
( spl61_25
<=> c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = sF33 ),
introduced(definition,[new_symbols(definition,[spl61_25])],[avatar_definition]) ).
fof(f5215,plain,
( c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = sF33
| ~ spl61_25 ),
inference(avatar_component_clause,[],[f5213]) ).
fof(f5216,plain,
spl61_25,
inference(avatar_split_clause,[],[f4799,f5213]) ).
fof(f5218,definition,
( spl61_26
<=> c_Power_Opower__class_Opower(sF29) = sF31 ),
introduced(definition,[new_symbols(definition,[spl61_26])],[avatar_definition]) ).
fof(f5220,plain,
( c_Power_Opower__class_Opower(sF29) = sF31
| ~ spl61_26 ),
inference(avatar_component_clause,[],[f5218]) ).
fof(f5221,plain,
spl61_26,
inference(avatar_split_clause,[],[f4795,f5218]) ).
fof(f5223,definition,
( spl61_27
<=> c_Groups_Ozero__class_Ozero(sF29) = sF34 ),
introduced(definition,[new_symbols(definition,[spl61_27])],[avatar_definition]) ).
fof(f5225,plain,
( c_Groups_Ozero__class_Ozero(sF29) = sF34
| ~ spl61_27 ),
inference(avatar_component_clause,[],[f5223]) ).
fof(f5226,plain,
spl61_27,
inference(avatar_split_clause,[],[f4801,f5223]) ).
fof(f5228,definition,
( spl61_28
<=> hAPP(sF50,sF52) = sF53 ),
introduced(definition,[new_symbols(definition,[spl61_28])],[avatar_definition]) ).
fof(f5230,plain,
( hAPP(sF50,sF52) = sF53
| ~ spl61_28 ),
inference(avatar_component_clause,[],[f5228]) ).
fof(f5231,plain,
spl61_28,
inference(avatar_split_clause,[],[f4842,f5228]) ).
fof(f5238,definition,
( spl61_30
<=> hAPP(sF54,sF56) = sF57 ),
introduced(definition,[new_symbols(definition,[spl61_30])],[avatar_definition]) ).
fof(f5240,plain,
( hAPP(sF54,sF56) = sF57
| ~ spl61_30 ),
inference(avatar_component_clause,[],[f5238]) ).
fof(f5241,plain,
spl61_30,
inference(avatar_split_clause,[],[f4850,f5238]) ).
fof(f5243,definition,
( spl61_31
<=> c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____) = sF45 ),
introduced(definition,[new_symbols(definition,[spl61_31])],[avatar_definition]) ).
fof(f5245,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____) = sF45
| ~ spl61_31 ),
inference(avatar_component_clause,[],[f5243]) ).
fof(f5246,plain,
spl61_31,
inference(avatar_split_clause,[],[f4825,f5243]) ).
fof(f5253,definition,
( spl61_33
<=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF45) = sF55 ),
introduced(definition,[new_symbols(definition,[spl61_33])],[avatar_definition]) ).
fof(f5255,plain,
( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF45) = sF55
| ~ spl61_33 ),
inference(avatar_component_clause,[],[f5253]) ).
fof(f5256,plain,
spl61_33,
inference(avatar_split_clause,[],[f4846,f5253]) ).
fof(f5258,definition,
( spl61_34
<=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF38) = sF51 ),
introduced(definition,[new_symbols(definition,[spl61_34])],[avatar_definition]) ).
fof(f5260,plain,
( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF38) = sF51
| ~ spl61_34 ),
inference(avatar_component_clause,[],[f5258]) ).
fof(f5261,plain,
spl61_34,
inference(avatar_split_clause,[],[f4838,f5258]) ).
fof(f5268,definition,
( spl61_36
<=> v_pa____ = hAPP(sF40,v_s____) ),
introduced(definition,[new_symbols(definition,[spl61_36])],[avatar_definition]) ).
fof(f5270,plain,
( v_pa____ = hAPP(sF40,v_s____)
| ~ spl61_36 ),
inference(avatar_component_clause,[],[f5268]) ).
fof(f5271,plain,
spl61_36,
inference(avatar_split_clause,[],[f5091,f5268]) ).
fof(f5273,definition,
( spl61_37
<=> tc_Polynomial_Opoly(tc_Complex_Ocomplex) = sF29 ),
introduced(definition,[new_symbols(definition,[spl61_37])],[avatar_definition]) ).
fof(f5275,plain,
( tc_Polynomial_Opoly(tc_Complex_Ocomplex) = sF29
| ~ spl61_37 ),
inference(avatar_component_clause,[],[f5273]) ).
fof(f5276,plain,
spl61_37,
inference(avatar_split_clause,[],[f4791,f5273]) ).
fof(f5288,definition,
( spl61_40
<=> sP28(sF60) ),
introduced(definition,[new_symbols(definition,[spl61_40])],[avatar_definition]) ).
fof(f5290,plain,
( sP28(sF60)
| ~ spl61_40 ),
inference(avatar_component_clause,[],[f5288]) ).
fof(f5291,plain,
spl61_40,
inference(avatar_split_clause,[],[f4858,f5288]) ).
fof(f5293,definition,
( spl61_41
<=> v_qa____ = hAPP(sF42,v_r____) ),
introduced(definition,[new_symbols(definition,[spl61_41])],[avatar_definition]) ).
fof(f5295,plain,
( v_qa____ = hAPP(sF42,v_r____)
| ~ spl61_41 ),
inference(avatar_component_clause,[],[f5293]) ).
fof(f5296,plain,
spl61_41,
inference(avatar_split_clause,[],[f5081,f5293]) ).
fof(f5298,definition,
( spl61_42
<=> ! [X0,X1] :
( c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1))
| ~ class_Rings_Ocomm__semiring__1(X1) ) ),
introduced(definition,[new_symbols(definition,[spl61_42])],[avatar_definition]) ).
fof(f5299,plain,
( ! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X1)
| c_Groups_Ozero__class_Ozero(X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X0),c_Groups_Ozero__class_Ozero(X1)) )
| ~ spl61_42 ),
inference(avatar_component_clause,[],[f5298]) ).
fof(f5300,plain,
spl61_42,
inference(avatar_split_clause,[],[f3355,f5298]) ).
fof(f5302,definition,
( spl61_43
<=> sF46 = hAPP(sF47,v_u____) ),
introduced(definition,[new_symbols(definition,[spl61_43])],[avatar_definition]) ).
fof(f5304,plain,
( sF46 = hAPP(sF47,v_u____)
| ~ spl61_43 ),
inference(avatar_component_clause,[],[f5302]) ).
fof(f5305,plain,
spl61_43,
inference(avatar_split_clause,[],[f5077,f5302]) ).
fof(f5317,definition,
( spl61_46
<=> c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = v_na____ ),
introduced(definition,[new_symbols(definition,[spl61_46])],[avatar_definition]) ).
fof(f5319,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = v_na____
| ~ spl61_46 ),
inference(avatar_component_clause,[],[f5317]) ).
fof(f5320,plain,
spl61_46,
inference(avatar_split_clause,[],[f2785,f5317]) ).
fof(f5331,definition,
( spl61_49
<=> ! [X0,X3,X2,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ) ),
introduced(definition,[new_symbols(definition,[spl61_49])],[avatar_definition]) ).
fof(f5332,plain,
( ! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X3)
| hAPP(hAPP(c_Power_Opower__class_Opower(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X1),X0)) )
| ~ spl61_49 ),
inference(avatar_component_clause,[],[f5331]) ).
fof(f5333,plain,
spl61_49,
inference(avatar_split_clause,[],[f3358,f5331]) ).
fof(f5362,definition,
( spl61_56
<=> ! [X0,X3,X2,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0)
| ~ class_Rings_Ocomm__semiring__1(X3) ) ),
introduced(definition,[new_symbols(definition,[spl61_56])],[avatar_definition]) ).
fof(f5363,plain,
( ! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X3)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X1)),X0) )
| ~ spl61_56 ),
inference(avatar_component_clause,[],[f5362]) ).
fof(f5364,plain,
spl61_56,
inference(avatar_split_clause,[],[f3346,f5362]) ).
fof(f5370,definition,
( spl61_58
<=> ! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X1) = X0 ),
introduced(definition,[new_symbols(definition,[spl61_58])],[avatar_definition]) ).
fof(f5371,plain,
( ! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X1) = X0
| ~ spl61_58 ),
inference(avatar_component_clause,[],[f5370]) ).
fof(f5372,plain,
spl61_58,
inference(avatar_split_clause,[],[f3962,f5370]) ).
fof(f5374,definition,
( spl61_59
<=> ! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1 ),
introduced(definition,[new_symbols(definition,[spl61_59])],[avatar_definition]) ).
fof(f5375,plain,
( ! [X0,X1] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0),X0) = X1
| ~ spl61_59 ),
inference(avatar_component_clause,[],[f5374]) ).
fof(f5376,plain,
spl61_59,
inference(avatar_split_clause,[],[f3963,f5374]) ).
fof(f5378,definition,
( spl61_60
<=> v_pa____ = sF34 ),
introduced(definition,[new_symbols(definition,[spl61_60])],[avatar_definition]) ).
fof(f5381,plain,
~ spl61_60,
inference(avatar_split_clause,[],[f5028,f5378]) ).
fof(f5391,definition,
( spl61_63
<=> v_s____ = sF34 ),
introduced(definition,[new_symbols(definition,[spl61_63])],[avatar_definition]) ).
fof(f5393,plain,
( v_s____ != sF34
| spl61_63 ),
inference(avatar_component_clause,[],[f5391]) ).
fof(f5394,plain,
~ spl61_63,
inference(avatar_split_clause,[],[f5029,f5391]) ).
fof(f5400,definition,
( spl61_65
<=> ! [X2,X0,X1] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)
| ~ class_Rings_Ocomm__semiring__1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl61_65])],[avatar_definition]) ).
fof(f5401,plain,
( ! [X2,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X2)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X0),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0) )
| ~ spl61_65 ),
inference(avatar_component_clause,[],[f5400]) ).
fof(f5402,plain,
spl61_65,
inference(avatar_split_clause,[],[f3343,f5400]) ).
fof(f5448,definition,
( spl61_75
<=> class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl61_75])],[avatar_definition]) ).
fof(f5450,plain,
( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ spl61_75 ),
inference(avatar_component_clause,[],[f5448]) ).
fof(f5451,plain,
spl61_75,
inference(avatar_split_clause,[],[f4321,f5448]) ).
fof(f5498,definition,
( spl61_81
<=> class_Rings_Oidom(tc_Complex_Ocomplex) ),
introduced(definition,[new_symbols(definition,[spl61_81])],[avatar_definition]) ).
fof(f5500,plain,
( class_Rings_Oidom(tc_Complex_Ocomplex)
| ~ spl61_81 ),
inference(avatar_component_clause,[],[f5498]) ).
fof(f5501,plain,
spl61_81,
inference(avatar_split_clause,[],[f4343,f5498]) ).
fof(f5527,definition,
( spl61_86
<=> ! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Oidom(X2) ) ),
introduced(definition,[new_symbols(definition,[spl61_86])],[avatar_definition]) ).
fof(f5528,plain,
( ! [X2,X0,X1] :
( ~ class_Rings_Oidom(X2)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0)) )
| ~ spl61_86 ),
inference(avatar_component_clause,[],[f5527]) ).
fof(f5529,plain,
spl61_86,
inference(avatar_split_clause,[],[f4067,f5527]) ).
fof(f5530,plain,
( ! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1
| c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) )
| ~ spl61_81
| ~ spl61_86 ),
inference(resolution,[],[f5528,f5500]) ).
fof(f5531,plain,
( ! [X0,X1] :
( c_Groups_Ozero__class_Ozero(sF29) = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1
| c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) )
| ~ spl61_37
| ~ spl61_81
| ~ spl61_86 ),
inference(forward_demodulation,[],[f5530,f5275]) ).
fof(f5532,plain,
( ! [X0,X1] :
( sF34 = X0
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X1
| c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) )
| ~ spl61_27
| ~ spl61_37
| ~ spl61_81
| ~ spl61_86 ),
inference(forward_demodulation,[],[f5531,f5225]) ).
fof(f5533,plain,
( ! [X0,X1] :
( c_Groups_Ozero__class_Ozero(sF29) = X1
| sF34 = X0
| c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) )
| ~ spl61_27
| ~ spl61_37
| ~ spl61_81
| ~ spl61_86 ),
inference(forward_demodulation,[],[f5532,f5275]) ).
fof(f5534,plain,
( ! [X0,X1] :
( sF34 = X1
| sF34 = X0
| c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X0)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) )
| ~ spl61_27
| ~ spl61_37
| ~ spl61_81
| ~ spl61_86 ),
inference(forward_demodulation,[],[f5533,f5225]) ).
fof(f5535,plain,
( ! [X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X1),X0))
| sF34 = X1
| sF34 = X0 )
| ~ spl61_27
| ~ spl61_37
| ~ spl61_81
| ~ spl61_86 ),
inference(forward_demodulation,[],[f5534,f5275]) ).
fof(f5536,plain,
( ! [X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF30,X1),X0))
| sF34 = X1
| sF34 = X0 )
| ~ spl61_20
| ~ spl61_27
| ~ spl61_37
| ~ spl61_81
| ~ spl61_86 ),
inference(forward_demodulation,[],[f5535,f5190]) ).
fof(f5538,definition,
( spl61_87
<=> ! [X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF30,X1),X0))
| sF34 = X1
| sF34 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl61_87])],[avatar_definition]) ).
fof(f5539,plain,
( ! [X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X1),c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF30,X1),X0))
| sF34 = X1
| sF34 = X0 )
| ~ spl61_87 ),
inference(avatar_component_clause,[],[f5538]) ).
fof(f5540,plain,
( spl61_87
| ~ spl61_20
| ~ spl61_27
| ~ spl61_37
| ~ spl61_81
| ~ spl61_86 ),
inference(avatar_split_clause,[],[f5536,f5527,f5498,f5273,f5223,f5188,f5538]) ).
fof(f5545,plain,
( ! [X0] :
( c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF30,X0),v_s____)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X0),sF45)
| sF34 = X0
| v_s____ = sF34 )
| ~ spl61_31
| ~ spl61_87 ),
inference(superposition,[],[f5539,f5245]) ).
fof(f5552,plain,
( ! [X0] :
( c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF30,X0),v_s____)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,X0),sF45)
| sF34 = X0 )
| ~ spl61_31
| spl61_63
| ~ spl61_87 ),
inference(forward_subsumption_resolution,[],[f5545,f5393]) ).
fof(f5556,plain,
( ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF30,X0),v_s____))
| sF34 = X0 )
| ~ spl61_31
| spl61_63
| ~ spl61_87 ),
inference(forward_demodulation,[],[f5552,f4081]) ).
fof(f5615,definition,
( spl61_93
<=> ! [X0,X3,X2,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ) ),
introduced(definition,[new_symbols(definition,[spl61_93])],[avatar_definition]) ).
fof(f5616,plain,
( ! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X3)
| hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) )
| ~ spl61_93 ),
inference(avatar_component_clause,[],[f5615]) ).
fof(f5617,plain,
spl61_93,
inference(avatar_split_clause,[],[f3977,f5615]) ).
fof(f5678,definition,
( spl61_103
<=> ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF30,X0),v_s____))
| sF34 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl61_103])],[avatar_definition]) ).
fof(f5679,plain,
( ! [X0] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,c_Polynomial_Odegree(tc_Complex_Ocomplex,X0)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF30,X0),v_s____))
| sF34 = X0 )
| ~ spl61_103 ),
inference(avatar_component_clause,[],[f5678]) ).
fof(f5680,plain,
( spl61_103
| ~ spl61_31
| spl61_63
| ~ spl61_87 ),
inference(avatar_split_clause,[],[f5556,f5538,f5391,f5243,f5678]) ).
fof(f5686,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(sF40,v_s____))
| sF34 = sF39
| ~ spl61_17
| ~ spl61_103 ),
inference(superposition,[],[f5679,f5175]) ).
fof(f5694,plain,
( c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39))
| sF34 = sF39
| ~ spl61_17
| ~ spl61_36
| ~ spl61_103 ),
inference(forward_demodulation,[],[f5686,f5270]) ).
fof(f5697,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39))
| sF34 = sF39
| ~ spl61_17
| ~ spl61_36
| ~ spl61_46
| ~ spl61_103 ),
inference(forward_demodulation,[],[f5694,f5319]) ).
fof(f5766,definition,
( spl61_110
<=> ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl61_110])],[avatar_definition]) ).
fof(f5767,plain,
( ! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)
| ~ spl61_110 ),
inference(avatar_component_clause,[],[f5766]) ).
fof(f5768,plain,
spl61_110,
inference(avatar_split_clause,[],[f4081,f5766]) ).
fof(f6287,definition,
( spl61_160
<=> ! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl61_160])],[avatar_definition]) ).
fof(f6288,plain,
( ! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) )
| ~ spl61_160 ),
inference(avatar_component_clause,[],[f6287]) ).
fof(f6289,plain,
spl61_160,
inference(avatar_split_clause,[],[f4375,f6287]) ).
fof(f6300,plain,
( class_Rings_Ocomm__semiring__1(sF29)
| ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| ~ spl61_37
| ~ spl61_160 ),
inference(superposition,[],[f6288,f5275]) ).
fof(f6301,plain,
( class_Rings_Ocomm__semiring__1(sF29)
| ~ spl61_37
| ~ spl61_75
| ~ spl61_160 ),
inference(forward_subsumption_resolution,[],[f6300,f5450]) ).
fof(f6304,definition,
( spl61_161
<=> class_Rings_Ocomm__semiring__1(sF29) ),
introduced(definition,[new_symbols(definition,[spl61_161])],[avatar_definition]) ).
fof(f6306,plain,
( class_Rings_Ocomm__semiring__1(sF29)
| ~ spl61_161 ),
inference(avatar_component_clause,[],[f6304]) ).
fof(f6307,plain,
( spl61_161
| ~ spl61_37
| ~ spl61_75
| ~ spl61_160 ),
inference(avatar_split_clause,[],[f6301,f6287,f5448,f5273,f6304]) ).
fof(f6318,plain,
( ! [X0] : c_Groups_Ozero__class_Ozero(sF29) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X0),c_Groups_Ozero__class_Ozero(sF29))
| ~ spl61_42
| ~ spl61_161 ),
inference(resolution,[],[f6306,f5299]) ).
fof(f6320,plain,
( ! [X2,X0,X1] : hAPP(hAPP(c_Power_Opower__class_Opower(sF29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X0),X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),X0),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),X1),X2))
| ~ spl61_49
| ~ spl61_161 ),
inference(resolution,[],[f6306,f5332]) ).
fof(f6321,plain,
( ! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X1),X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X0),X1)),X2)
| ~ spl61_56
| ~ spl61_161 ),
inference(resolution,[],[f6306,f5363]) ).
fof(f6322,plain,
( ! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X0),X1)
| ~ spl61_65
| ~ spl61_161 ),
inference(resolution,[],[f6306,f5401]) ).
fof(f6325,plain,
( ! [X2,X0,X1] : hAPP(hAPP(c_Power_Opower__class_Opower(sF29),X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),X0),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(sF29),X0),X2))
| ~ spl61_93
| ~ spl61_161 ),
inference(resolution,[],[f6306,f5616]) ).
fof(f6328,plain,
( ! [X2,X0,X1] : hAPP(hAPP(sF31,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(sF31,X0),X1)),hAPP(hAPP(sF31,X0),X2))
| ~ spl61_26
| ~ spl61_93
| ~ spl61_161 ),
inference(forward_demodulation,[],[f6325,f5220]) ).
fof(f6331,plain,
( ! [X0,X1] : hAPP(hAPP(sF30,X1),X0) = hAPP(hAPP(sF30,X0),X1)
| ~ spl61_20
| ~ spl61_65
| ~ spl61_161 ),
inference(forward_demodulation,[],[f6322,f5190]) ).
fof(f6332,plain,
( ! [X2,X0,X1] : hAPP(hAPP(sF30,hAPP(hAPP(sF30,X0),X1)),X2) = hAPP(hAPP(sF30,X0),hAPP(hAPP(sF30,X1),X2))
| ~ spl61_20
| ~ spl61_56
| ~ spl61_161 ),
inference(forward_demodulation,[],[f6321,f5190]) ).
fof(f6333,plain,
( ! [X2,X0,X1] : hAPP(hAPP(sF31,hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X0),X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),hAPP(hAPP(sF31,X0),X2)),hAPP(hAPP(sF31,X1),X2))
| ~ spl61_26
| ~ spl61_49
| ~ spl61_161 ),
inference(forward_demodulation,[],[f6320,f5220]) ).
fof(f6335,plain,
( ! [X0] : sF34 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(sF29),X0),sF34)
| ~ spl61_27
| ~ spl61_42
| ~ spl61_161 ),
inference(forward_demodulation,[],[f6318,f5225]) ).
fof(f6345,plain,
( ! [X2,X0,X1] : hAPP(hAPP(sF31,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = hAPP(hAPP(sF30,hAPP(hAPP(sF31,X0),X1)),hAPP(hAPP(sF31,X0),X2))
| ~ spl61_20
| ~ spl61_26
| ~ spl61_93
| ~ spl61_161 ),
inference(forward_demodulation,[],[f6328,f5190]) ).
fof(f6357,plain,
( ! [X2,X0,X1] : hAPP(hAPP(sF31,hAPP(hAPP(sF30,X0),X1)),X2) = hAPP(hAPP(sF30,hAPP(hAPP(sF31,X0),X2)),hAPP(hAPP(sF31,X1),X2))
| ~ spl61_20
| ~ spl61_26
| ~ spl61_49
| ~ spl61_161 ),
inference(forward_demodulation,[],[f6333,f5190]) ).
fof(f6358,plain,
( ! [X0] : sF34 = hAPP(hAPP(sF30,X0),sF34)
| ~ spl61_20
| ~ spl61_27
| ~ spl61_42
| ~ spl61_161 ),
inference(forward_demodulation,[],[f6335,f5190]) ).
fof(f6368,definition,
( spl61_162
<=> ! [X2,X0,X1] : hAPP(hAPP(sF30,hAPP(hAPP(sF30,X0),X1)),X2) = hAPP(hAPP(sF30,X0),hAPP(hAPP(sF30,X1),X2)) ),
introduced(definition,[new_symbols(definition,[spl61_162])],[avatar_definition]) ).
fof(f6369,plain,
( ! [X2,X0,X1] : hAPP(hAPP(sF30,hAPP(hAPP(sF30,X0),X1)),X2) = hAPP(hAPP(sF30,X0),hAPP(hAPP(sF30,X1),X2))
| ~ spl61_162 ),
inference(avatar_component_clause,[],[f6368]) ).
fof(f6370,plain,
( spl61_162
| ~ spl61_20
| ~ spl61_56
| ~ spl61_161 ),
inference(avatar_split_clause,[],[f6332,f6304,f5362,f5188,f6368]) ).
fof(f6372,plain,
( ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF47,X0)),X1) = hAPP(sF47,hAPP(hAPP(sF30,X0),X1))
| ~ spl61_6
| ~ spl61_162 ),
inference(superposition,[],[f6369,f5120]) ).
fof(f6375,plain,
( ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF40,X0)),X1) = hAPP(sF40,hAPP(hAPP(sF30,X0),X1))
| ~ spl61_17
| ~ spl61_162 ),
inference(superposition,[],[f6369,f5175]) ).
fof(f6446,definition,
( spl61_166
<=> ! [X0,X1] : hAPP(hAPP(sF30,X1),X0) = hAPP(hAPP(sF30,X0),X1) ),
introduced(definition,[new_symbols(definition,[spl61_166])],[avatar_definition]) ).
fof(f6447,plain,
( ! [X0,X1] : hAPP(hAPP(sF30,X1),X0) = hAPP(hAPP(sF30,X0),X1)
| ~ spl61_166 ),
inference(avatar_component_clause,[],[f6446]) ).
fof(f6448,plain,
( spl61_166
| ~ spl61_20
| ~ spl61_65
| ~ spl61_161 ),
inference(avatar_split_clause,[],[f6331,f6304,f5400,f5188,f6446]) ).
fof(f6459,plain,
( ! [X0] : hAPP(hAPP(sF30,X0),v_s____) = hAPP(sF47,X0)
| ~ spl61_6
| ~ spl61_166 ),
inference(superposition,[],[f6447,f5120]) ).
fof(f6463,plain,
( ! [X0] : hAPP(sF54,X0) = hAPP(hAPP(sF30,X0),sF53)
| ~ spl61_14
| ~ spl61_166 ),
inference(superposition,[],[f6447,f5160]) ).
fof(f6528,definition,
( spl61_168
<=> ! [X0] : hAPP(hAPP(sF30,X0),v_s____) = hAPP(sF47,X0) ),
introduced(definition,[new_symbols(definition,[spl61_168])],[avatar_definition]) ).
fof(f6529,plain,
( ! [X0] : hAPP(hAPP(sF30,X0),v_s____) = hAPP(sF47,X0)
| ~ spl61_168 ),
inference(avatar_component_clause,[],[f6528]) ).
fof(f6530,plain,
( spl61_168
| ~ spl61_6
| ~ spl61_166 ),
inference(avatar_split_clause,[],[f6459,f6446,f5118,f6528]) ).
fof(f6585,plain,
( hAPP(sF40,v_s____) = hAPP(sF47,sF39)
| ~ spl61_17
| ~ spl61_168 ),
inference(superposition,[],[f6529,f5175]) ).
fof(f6612,plain,
( v_pa____ = hAPP(sF47,sF39)
| ~ spl61_17
| ~ spl61_36
| ~ spl61_168 ),
inference(forward_demodulation,[],[f6585,f5270]) ).
fof(f6708,definition,
( spl61_171
<=> ! [X0] : hAPP(sF54,X0) = hAPP(hAPP(sF30,X0),sF53) ),
introduced(definition,[new_symbols(definition,[spl61_171])],[avatar_definition]) ).
fof(f6709,plain,
( ! [X0] : hAPP(sF54,X0) = hAPP(hAPP(sF30,X0),sF53)
| ~ spl61_171 ),
inference(avatar_component_clause,[],[f6708]) ).
fof(f6710,plain,
( spl61_171
| ~ spl61_14
| ~ spl61_166 ),
inference(avatar_split_clause,[],[f6463,f6446,f5158,f6708]) ).
fof(f6789,definition,
( spl61_174
<=> ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF40,X0)),X1) = hAPP(sF40,hAPP(hAPP(sF30,X0),X1)) ),
introduced(definition,[new_symbols(definition,[spl61_174])],[avatar_definition]) ).
fof(f6790,plain,
( ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF40,X0)),X1) = hAPP(sF40,hAPP(hAPP(sF30,X0),X1))
| ~ spl61_174 ),
inference(avatar_component_clause,[],[f6789]) ).
fof(f6791,plain,
( spl61_174
| ~ spl61_17
| ~ spl61_162 ),
inference(avatar_split_clause,[],[f6375,f6368,f5173,f6789]) ).
fof(f6876,definition,
( spl61_176
<=> ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF47,X0)),X1) = hAPP(sF47,hAPP(hAPP(sF30,X0),X1)) ),
introduced(definition,[new_symbols(definition,[spl61_176])],[avatar_definition]) ).
fof(f6877,plain,
( ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF47,X0)),X1) = hAPP(sF47,hAPP(hAPP(sF30,X0),X1))
| ~ spl61_176 ),
inference(avatar_component_clause,[],[f6876]) ).
fof(f6878,plain,
( spl61_176
| ~ spl61_6
| ~ spl61_162 ),
inference(avatar_split_clause,[],[f6372,f6368,f5118,f6876]) ).
fof(f6888,definition,
( spl61_179
<=> ! [X0] : sF34 = hAPP(hAPP(sF30,X0),sF34) ),
introduced(definition,[new_symbols(definition,[spl61_179])],[avatar_definition]) ).
fof(f6889,plain,
( ! [X0] : sF34 = hAPP(hAPP(sF30,X0),sF34)
| ~ spl61_179 ),
inference(avatar_component_clause,[],[f6888]) ).
fof(f6890,plain,
( spl61_179
| ~ spl61_20
| ~ spl61_27
| ~ spl61_42
| ~ spl61_161 ),
inference(avatar_split_clause,[],[f6358,f6304,f5298,f5223,f5188,f6888]) ).
fof(f6892,plain,
( sF34 = hAPP(sF47,sF34)
| ~ spl61_6
| ~ spl61_179 ),
inference(superposition,[],[f6889,f5120]) ).
fof(f6980,plain,
( ! [X0] : hAPP(hAPP(sF30,v_pa____),X0) = hAPP(sF40,hAPP(hAPP(sF30,v_s____),X0))
| ~ spl61_36
| ~ spl61_174 ),
inference(superposition,[],[f6790,f5270]) ).
fof(f7002,plain,
( ! [X0] : hAPP(sF47,hAPP(sF40,X0)) = hAPP(sF40,hAPP(hAPP(sF30,X0),v_s____))
| ~ spl61_168
| ~ spl61_174 ),
inference(superposition,[],[f6529,f6790]) ).
fof(f7008,plain,
( ! [X0] : hAPP(sF54,hAPP(sF40,X0)) = hAPP(sF40,hAPP(hAPP(sF30,X0),sF53))
| ~ spl61_171
| ~ spl61_174 ),
inference(superposition,[],[f6709,f6790]) ).
fof(f7009,plain,
( ! [X0] : hAPP(sF54,hAPP(sF40,X0)) = hAPP(sF40,hAPP(sF54,X0))
| ~ spl61_171
| ~ spl61_174 ),
inference(forward_demodulation,[],[f7008,f6709]) ).
fof(f7013,plain,
( ! [X0] : hAPP(sF47,hAPP(sF40,X0)) = hAPP(sF40,hAPP(sF47,X0))
| ~ spl61_168
| ~ spl61_174 ),
inference(forward_demodulation,[],[f7002,f6529]) ).
fof(f7025,plain,
( ! [X0] : hAPP(hAPP(sF30,v_pa____),X0) = hAPP(sF40,hAPP(sF47,X0))
| ~ spl61_6
| ~ spl61_36
| ~ spl61_174 ),
inference(forward_demodulation,[],[f6980,f5120]) ).
fof(f7031,plain,
( ! [X0] : hAPP(sF49,X0) = hAPP(sF40,hAPP(sF47,X0))
| ~ spl61_4
| ~ spl61_6
| ~ spl61_36
| ~ spl61_174 ),
inference(forward_demodulation,[],[f7025,f5110]) ).
fof(f7033,plain,
( ! [X0] : hAPP(sF49,X0) = hAPP(sF47,hAPP(sF40,X0))
| ~ spl61_4
| ~ spl61_6
| ~ spl61_36
| ~ spl61_168
| ~ spl61_174 ),
inference(backward_demodulation,[],[f7013,f7031]) ).
fof(f7058,plain,
( ! [X0] : hAPP(hAPP(sF30,sF46),X0) = hAPP(sF47,hAPP(hAPP(sF30,v_u____),X0))
| ~ spl61_43
| ~ spl61_176 ),
inference(superposition,[],[f6877,f5304]) ).
fof(f7103,plain,
( ! [X0] : hAPP(hAPP(sF30,sF46),X0) = hAPP(sF47,hAPP(sF50,X0))
| ~ spl61_8
| ~ spl61_43
| ~ spl61_176 ),
inference(forward_demodulation,[],[f7058,f5130]) ).
fof(f7117,definition,
( spl61_182
<=> ! [X0] : hAPP(hAPP(sF30,sF46),X0) = hAPP(sF47,hAPP(sF50,X0)) ),
introduced(definition,[new_symbols(definition,[spl61_182])],[avatar_definition]) ).
fof(f7118,plain,
( ! [X0] : hAPP(hAPP(sF30,sF46),X0) = hAPP(sF47,hAPP(sF50,X0))
| ~ spl61_182 ),
inference(avatar_component_clause,[],[f7117]) ).
fof(f7119,plain,
( spl61_182
| ~ spl61_8
| ~ spl61_43
| ~ spl61_176 ),
inference(avatar_split_clause,[],[f7103,f6876,f5302,f5128,f7117]) ).
fof(f7139,plain,
( ! [X0] : hAPP(sF47,hAPP(sF50,X0)) = hAPP(hAPP(sF30,X0),sF46)
| ~ spl61_166
| ~ spl61_182 ),
inference(superposition,[],[f6447,f7118]) ).
fof(f7407,definition,
( spl61_190
<=> sF34 = hAPP(sF47,sF34) ),
introduced(definition,[new_symbols(definition,[spl61_190])],[avatar_definition]) ).
fof(f7410,plain,
( spl61_190
| ~ spl61_6
| ~ spl61_179 ),
inference(avatar_split_clause,[],[f6892,f6888,f5118,f7407]) ).
fof(f7427,definition,
( spl61_194
<=> v_pa____ = hAPP(sF47,sF39) ),
introduced(definition,[new_symbols(definition,[spl61_194])],[avatar_definition]) ).
fof(f7430,plain,
( spl61_194
| ~ spl61_17
| ~ spl61_36
| ~ spl61_168 ),
inference(avatar_split_clause,[],[f6612,f6528,f5268,f5173,f7427]) ).
fof(f7442,definition,
( spl61_195
<=> ! [X2,X0,X1] : hAPP(hAPP(sF31,hAPP(hAPP(sF30,X0),X1)),X2) = hAPP(hAPP(sF30,hAPP(hAPP(sF31,X0),X2)),hAPP(hAPP(sF31,X1),X2)) ),
introduced(definition,[new_symbols(definition,[spl61_195])],[avatar_definition]) ).
fof(f7443,plain,
( ! [X2,X0,X1] : hAPP(hAPP(sF31,hAPP(hAPP(sF30,X0),X1)),X2) = hAPP(hAPP(sF30,hAPP(hAPP(sF31,X0),X2)),hAPP(hAPP(sF31,X1),X2))
| ~ spl61_195 ),
inference(avatar_component_clause,[],[f7442]) ).
fof(f7444,plain,
( spl61_195
| ~ spl61_20
| ~ spl61_26
| ~ spl61_49
| ~ spl61_161 ),
inference(avatar_split_clause,[],[f6357,f6304,f5331,f5218,f5188,f7442]) ).
fof(f7445,plain,
( ! [X0,X1] : hAPP(hAPP(sF31,hAPP(hAPP(sF30,sF36),X0)),X1) = hAPP(hAPP(sF30,hAPP(sF37,X1)),hAPP(hAPP(sF31,X0),X1))
| ~ spl61_10
| ~ spl61_195 ),
inference(superposition,[],[f7443,f5140]) ).
fof(f7466,plain,
( ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF37,X1)),hAPP(hAPP(sF31,X0),X1)) = hAPP(hAPP(sF31,hAPP(sF42,X0)),X1)
| ~ spl61_10
| ~ spl61_19
| ~ spl61_195 ),
inference(forward_demodulation,[],[f7445,f5185]) ).
fof(f7469,definition,
( spl61_196
<=> ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF37,X1)),hAPP(hAPP(sF31,X0),X1)) = hAPP(hAPP(sF31,hAPP(sF42,X0)),X1) ),
introduced(definition,[new_symbols(definition,[spl61_196])],[avatar_definition]) ).
fof(f7470,plain,
( ! [X0,X1] : hAPP(hAPP(sF30,hAPP(sF37,X1)),hAPP(hAPP(sF31,X0),X1)) = hAPP(hAPP(sF31,hAPP(sF42,X0)),X1)
| ~ spl61_196 ),
inference(avatar_component_clause,[],[f7469]) ).
fof(f7471,plain,
( spl61_196
| ~ spl61_10
| ~ spl61_19
| ~ spl61_195 ),
inference(avatar_split_clause,[],[f7466,f7442,f5183,f5138,f7469]) ).
fof(f7475,plain,
( ! [X0] : hAPP(hAPP(sF31,hAPP(sF42,v_r____)),X0) = hAPP(hAPP(sF30,hAPP(sF37,X0)),hAPP(sF44,X0))
| ~ spl61_5
| ~ spl61_196 ),
inference(superposition,[],[f7470,f5115]) ).
fof(f7485,plain,
( ! [X0] : hAPP(hAPP(sF30,hAPP(sF37,X0)),hAPP(sF44,X0)) = hAPP(hAPP(sF31,v_qa____),X0)
| ~ spl61_5
| ~ spl61_41
| ~ spl61_196 ),
inference(forward_demodulation,[],[f7475,f5295]) ).
fof(f7487,plain,
( ! [X0] : hAPP(sF59,X0) = hAPP(hAPP(sF30,hAPP(sF37,X0)),hAPP(sF44,X0))
| ~ spl61_5
| ~ spl61_7
| ~ spl61_41
| ~ spl61_196 ),
inference(forward_demodulation,[],[f7485,f5125]) ).
fof(f7489,definition,
( spl61_197
<=> ! [X0] : hAPP(sF59,X0) = hAPP(hAPP(sF30,hAPP(sF37,X0)),hAPP(sF44,X0)) ),
introduced(definition,[new_symbols(definition,[spl61_197])],[avatar_definition]) ).
fof(f7490,plain,
( ! [X0] : hAPP(sF59,X0) = hAPP(hAPP(sF30,hAPP(sF37,X0)),hAPP(sF44,X0))
| ~ spl61_197 ),
inference(avatar_component_clause,[],[f7489]) ).
fof(f7491,plain,
( spl61_197
| ~ spl61_5
| ~ spl61_7
| ~ spl61_41
| ~ spl61_196 ),
inference(avatar_split_clause,[],[f7487,f7469,f5293,f5123,f5113,f7489]) ).
fof(f7493,plain,
( hAPP(sF59,sF38) = hAPP(hAPP(sF30,sF39),hAPP(sF44,sF38))
| ~ spl61_24
| ~ spl61_197 ),
inference(superposition,[],[f7490,f5210]) ).
fof(f7494,plain,
( hAPP(sF59,sF45) = hAPP(hAPP(sF30,hAPP(sF37,sF45)),sF46)
| ~ spl61_12
| ~ spl61_197 ),
inference(superposition,[],[f7490,f5150]) ).
fof(f7511,plain,
( hAPP(sF59,sF45) = hAPP(sF47,hAPP(sF50,hAPP(sF37,sF45)))
| ~ spl61_12
| ~ spl61_166
| ~ spl61_182
| ~ spl61_197 ),
inference(forward_demodulation,[],[f7494,f7139]) ).
fof(f7512,plain,
( hAPP(sF59,sF38) = hAPP(sF40,hAPP(sF44,sF38))
| ~ spl61_17
| ~ spl61_24
| ~ spl61_197 ),
inference(forward_demodulation,[],[f7493,f5175]) ).
fof(f7571,definition,
( spl61_201
<=> ! [X0] : hAPP(sF49,X0) = hAPP(sF47,hAPP(sF40,X0)) ),
introduced(definition,[new_symbols(definition,[spl61_201])],[avatar_definition]) ).
fof(f7572,plain,
( ! [X0] : hAPP(sF49,X0) = hAPP(sF47,hAPP(sF40,X0))
| ~ spl61_201 ),
inference(avatar_component_clause,[],[f7571]) ).
fof(f7573,plain,
( spl61_201
| ~ spl61_4
| ~ spl61_6
| ~ spl61_36
| ~ spl61_168
| ~ spl61_174 ),
inference(avatar_split_clause,[],[f7033,f6789,f6528,f5268,f5118,f5108,f7571]) ).
fof(f7585,definition,
( spl61_204
<=> hAPP(sF59,sF38) = hAPP(sF40,hAPP(sF44,sF38)) ),
introduced(definition,[new_symbols(definition,[spl61_204])],[avatar_definition]) ).
fof(f7587,plain,
( hAPP(sF59,sF38) = hAPP(sF40,hAPP(sF44,sF38))
| ~ spl61_204 ),
inference(avatar_component_clause,[],[f7585]) ).
fof(f7588,plain,
( spl61_204
| ~ spl61_17
| ~ spl61_24
| ~ spl61_197 ),
inference(avatar_split_clause,[],[f7512,f7489,f5208,f5173,f7585]) ).
fof(f7591,definition,
( spl61_205
<=> ! [X2,X0,X1] : hAPP(hAPP(sF31,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = hAPP(hAPP(sF30,hAPP(hAPP(sF31,X0),X1)),hAPP(hAPP(sF31,X0),X2)) ),
introduced(definition,[new_symbols(definition,[spl61_205])],[avatar_definition]) ).
fof(f7592,plain,
( ! [X2,X0,X1] : hAPP(hAPP(sF31,X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = hAPP(hAPP(sF30,hAPP(hAPP(sF31,X0),X1)),hAPP(hAPP(sF31,X0),X2))
| ~ spl61_205 ),
inference(avatar_component_clause,[],[f7591]) ).
fof(f7593,plain,
( spl61_205
| ~ spl61_20
| ~ spl61_26
| ~ spl61_93
| ~ spl61_161 ),
inference(avatar_split_clause,[],[f6345,f6304,f5615,f5218,f5188,f7591]) ).
fof(f8050,plain,
( ! [X0,X1] : hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) = hAPP(hAPP(sF30,hAPP(sF59,X0)),hAPP(sF59,X1))
| ~ spl61_7
| ~ spl61_205 ),
inference(superposition,[],[f7592,f5125]) ).
fof(f8568,definition,
( spl61_233
<=> sF34 = sF39 ),
introduced(definition,[new_symbols(definition,[spl61_233])],[avatar_definition]) ).
fof(f8572,definition,
( spl61_234
<=> v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39)) ),
introduced(definition,[new_symbols(definition,[spl61_234])],[avatar_definition]) ).
fof(f8574,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39))
| ~ spl61_234 ),
inference(avatar_component_clause,[],[f8572]) ).
fof(f8575,plain,
( spl61_233
| spl61_234
| ~ spl61_17
| ~ spl61_36
| ~ spl61_46
| ~ spl61_103 ),
inference(avatar_split_clause,[],[f5697,f5678,f5317,f5268,f5173,f8572,f8568]) ).
fof(f8576,plain,
( sF34 != sF39
| v_pa____ != hAPP(sF47,sF39)
| sF34 != hAPP(sF47,sF34)
| v_pa____ = sF34 ),
introduced(definition,[],[theory_tautology_sat_conflict]) ).
fof(f8579,plain,
( sF45 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39))
| ~ spl61_59
| ~ spl61_234 ),
inference(superposition,[],[f5375,f8574]) ).
fof(f8580,plain,
( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF45) = c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39)
| ~ spl61_58
| ~ spl61_234 ),
inference(superposition,[],[f5371,f8574]) ).
fof(f8581,plain,
( sF55 = c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39)
| ~ spl61_33
| ~ spl61_58
| ~ spl61_234 ),
inference(forward_demodulation,[],[f8580,f5255]) ).
fof(f8584,plain,
( sF45 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF55)
| ~ spl61_33
| ~ spl61_58
| ~ spl61_59
| ~ spl61_234 ),
inference(backward_demodulation,[],[f8579,f8581]) ).
fof(f8585,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,sF55)
| ~ spl61_33
| ~ spl61_58
| ~ spl61_234 ),
inference(backward_demodulation,[],[f8574,f8581]) ).
fof(f8591,definition,
( spl61_235
<=> sF45 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF55) ),
introduced(definition,[new_symbols(definition,[spl61_235])],[avatar_definition]) ).
fof(f8593,plain,
( sF45 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF55)
| ~ spl61_235 ),
inference(avatar_component_clause,[],[f8591]) ).
fof(f8594,plain,
( spl61_235
| ~ spl61_33
| ~ spl61_58
| ~ spl61_59
| ~ spl61_234 ),
inference(avatar_split_clause,[],[f8584,f8572,f5374,f5370,f5253,f8591]) ).
fof(f8596,definition,
( spl61_236
<=> sF55 = c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39) ),
introduced(definition,[new_symbols(definition,[spl61_236])],[avatar_definition]) ).
fof(f8598,plain,
( sF55 = c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39)
| ~ spl61_236 ),
inference(avatar_component_clause,[],[f8596]) ).
fof(f8599,plain,
( spl61_236
| ~ spl61_33
| ~ spl61_58
| ~ spl61_234 ),
inference(avatar_split_clause,[],[f8581,f8572,f5370,f5253,f8596]) ).
fof(f8618,definition,
( spl61_237
<=> v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,sF55) ),
introduced(definition,[new_symbols(definition,[spl61_237])],[avatar_definition]) ).
fof(f8620,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,sF55)
| ~ spl61_237 ),
inference(avatar_component_clause,[],[f8618]) ).
fof(f8621,plain,
( spl61_237
| ~ spl61_33
| ~ spl61_58
| ~ spl61_234 ),
inference(avatar_split_clause,[],[f8585,f8572,f5370,f5253,f8618]) ).
fof(f11516,definition,
( spl61_358
<=> ! [X0,X1] : hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) = hAPP(hAPP(sF30,hAPP(sF59,X0)),hAPP(sF59,X1)) ),
introduced(definition,[new_symbols(definition,[spl61_358])],[avatar_definition]) ).
fof(f11517,plain,
( ! [X0,X1] : hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1)) = hAPP(hAPP(sF30,hAPP(sF59,X0)),hAPP(sF59,X1))
| ~ spl61_358 ),
inference(avatar_component_clause,[],[f11516]) ).
fof(f11518,plain,
( spl61_358
| ~ spl61_7
| ~ spl61_205 ),
inference(avatar_split_clause,[],[f8050,f7591,f5123,f11516]) ).
fof(f13296,definition,
( spl61_432
<=> ! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0
| ~ class_Rings_Ocomm__semiring__1(X2) ) ),
introduced(definition,[new_symbols(definition,[spl61_432])],[avatar_definition]) ).
fof(f13297,plain,
( ! [X2,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X2)
| c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0 )
| ~ spl61_432 ),
inference(avatar_component_clause,[],[f13296]) ).
fof(f13298,plain,
spl61_432,
inference(avatar_split_clause,[],[f2802,f13296]) ).
fof(f13301,plain,
( ! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,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))))),X1)) = X1
| ~ spl61_75
| ~ spl61_432 ),
inference(resolution,[],[f13297,f5450]) ).
fof(f13305,plain,
( ! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(sF29)))),X1)) = X1
| ~ spl61_37
| ~ spl61_75
| ~ spl61_432 ),
inference(forward_demodulation,[],[f13301,f5275]) ).
fof(f13309,plain,
( ! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),sF34))),X1)) = X1
| ~ spl61_27
| ~ spl61_37
| ~ spl61_75
| ~ spl61_432 ),
inference(forward_demodulation,[],[f13305,f5225]) ).
fof(f13312,plain,
( ! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Polynomial_OpCons(tc_Complex_Ocomplex,sF33,sF34))),X1)) = X1
| ~ spl61_25
| ~ spl61_27
| ~ spl61_37
| ~ spl61_75
| ~ spl61_432 ),
inference(forward_demodulation,[],[f13309,f5215]) ).
fof(f13314,plain,
( ! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(sF29),c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,sF35)),X1)) = X1
| ~ spl61_16
| ~ spl61_25
| ~ spl61_27
| ~ spl61_37
| ~ spl61_75
| ~ spl61_432 ),
inference(forward_demodulation,[],[f13312,f5170]) ).
fof(f13316,plain,
( ! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF31,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,sF35)),X1)) = X1
| ~ spl61_16
| ~ spl61_25
| ~ spl61_26
| ~ spl61_27
| ~ spl61_37
| ~ spl61_75
| ~ spl61_432 ),
inference(forward_demodulation,[],[f13314,f5220]) ).
fof(f13319,definition,
( spl61_433
<=> ! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF31,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,sF35)),X1)) = X1 ),
introduced(definition,[new_symbols(definition,[spl61_433])],[avatar_definition]) ).
fof(f13320,plain,
( ! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF31,c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,sF35)),X1)) = X1
| ~ spl61_433 ),
inference(avatar_component_clause,[],[f13319]) ).
fof(f13321,plain,
( spl61_433
| ~ spl61_16
| ~ spl61_25
| ~ spl61_26
| ~ spl61_27
| ~ spl61_37
| ~ spl61_75
| ~ spl61_432 ),
inference(avatar_split_clause,[],[f13316,f13296,f5448,f5273,f5223,f5218,f5213,f5168,f13319]) ).
fof(f13323,plain,
( ! [X0] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(sF31,sF36),X0)) = X0
| ~ spl61_11
| ~ spl61_433 ),
inference(superposition,[],[f13320,f5145]) ).
fof(f13355,plain,
( ! [X0] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(sF37,X0)) = X0
| ~ spl61_10
| ~ spl61_11
| ~ spl61_433 ),
inference(forward_demodulation,[],[f13323,f5140]) ).
fof(f13372,definition,
( spl61_434
<=> ! [X0] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(sF37,X0)) = X0 ),
introduced(definition,[new_symbols(definition,[spl61_434])],[avatar_definition]) ).
fof(f13373,plain,
( ! [X0] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(sF37,X0)) = X0
| ~ spl61_434 ),
inference(avatar_component_clause,[],[f13372]) ).
fof(f13374,plain,
( spl61_434
| ~ spl61_10
| ~ spl61_11
| ~ spl61_433 ),
inference(avatar_split_clause,[],[f13355,f13319,f5143,f5138,f13372]) ).
fof(f13377,plain,
( sF38 = c_Polynomial_Odegree(tc_Complex_Ocomplex,sF39)
| ~ spl61_24
| ~ spl61_434 ),
inference(superposition,[],[f13373,f5210]) ).
fof(f13407,plain,
( sF38 = sF55
| ~ spl61_24
| ~ spl61_236
| ~ spl61_434 ),
inference(backward_demodulation,[],[f8598,f13377]) ).
fof(f13417,plain,
( sF56 = hAPP(sF44,sF38)
| ~ spl61_23
| ~ spl61_24
| ~ spl61_236
| ~ spl61_434 ),
inference(backward_demodulation,[],[f5205,f13407]) ).
fof(f13422,plain,
( sF45 = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,sF38)
| ~ spl61_24
| ~ spl61_235
| ~ spl61_236
| ~ spl61_434 ),
inference(backward_demodulation,[],[f8593,f13407]) ).
fof(f13425,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,sF38)
| ~ spl61_24
| ~ spl61_236
| ~ spl61_237
| ~ spl61_434 ),
inference(backward_demodulation,[],[f8620,f13407]) ).
fof(f13452,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF38,sF45)
| ~ spl61_24
| ~ spl61_110
| ~ spl61_236
| ~ spl61_237
| ~ spl61_434 ),
inference(forward_demodulation,[],[f13425,f5767]) ).
fof(f13453,plain,
( sF45 = sF51
| ~ spl61_24
| ~ spl61_34
| ~ spl61_235
| ~ spl61_236
| ~ spl61_434 ),
inference(backward_demodulation,[],[f5260,f13422]) ).
fof(f13459,plain,
( hAPP(sF59,sF38) = hAPP(sF40,sF56)
| ~ spl61_23
| ~ spl61_24
| ~ spl61_204
| ~ spl61_236
| ~ spl61_434 ),
inference(backward_demodulation,[],[f7587,f13417]) ).
fof(f13460,plain,
( sF52 = hAPP(sF37,sF45)
| ~ spl61_22
| ~ spl61_24
| ~ spl61_34
| ~ spl61_235
| ~ spl61_236
| ~ spl61_434 ),
inference(backward_demodulation,[],[f5200,f13453]) ).
fof(f13483,plain,
( hAPP(sF47,hAPP(sF50,sF52)) = hAPP(sF59,sF45)
| ~ spl61_12
| ~ spl61_22
| ~ spl61_24
| ~ spl61_34
| ~ spl61_166
| ~ spl61_182
| ~ spl61_197
| ~ spl61_235
| ~ spl61_236
| ~ spl61_434 ),
inference(backward_demodulation,[],[f7511,f13460]) ).
fof(f13489,plain,
( hAPP(sF47,sF53) = hAPP(sF59,sF45)
| ~ spl61_12
| ~ spl61_22
| ~ spl61_24
| ~ spl61_28
| ~ spl61_34
| ~ spl61_166
| ~ spl61_182
| ~ spl61_197
| ~ spl61_235
| ~ spl61_236
| ~ spl61_434 ),
inference(forward_demodulation,[],[f13483,f5230]) ).
fof(f13651,definition,
( spl61_442
<=> hAPP(sF59,sF38) = hAPP(sF40,sF56) ),
introduced(definition,[new_symbols(definition,[spl61_442])],[avatar_definition]) ).
fof(f13653,plain,
( hAPP(sF59,sF38) = hAPP(sF40,sF56)
| ~ spl61_442 ),
inference(avatar_component_clause,[],[f13651]) ).
fof(f13654,plain,
( spl61_442
| ~ spl61_23
| ~ spl61_24
| ~ spl61_204
| ~ spl61_236
| ~ spl61_434 ),
inference(avatar_split_clause,[],[f13459,f13372,f8596,f7585,f5208,f5203,f13651]) ).
fof(f13670,definition,
( spl61_443
<=> hAPP(sF47,sF53) = hAPP(sF59,sF45) ),
introduced(definition,[new_symbols(definition,[spl61_443])],[avatar_definition]) ).
fof(f13672,plain,
( hAPP(sF47,sF53) = hAPP(sF59,sF45)
| ~ spl61_443 ),
inference(avatar_component_clause,[],[f13670]) ).
fof(f13673,plain,
( spl61_443
| ~ spl61_12
| ~ spl61_22
| ~ spl61_24
| ~ spl61_28
| ~ spl61_34
| ~ spl61_166
| ~ spl61_182
| ~ spl61_197
| ~ spl61_235
| ~ spl61_236
| ~ spl61_434 ),
inference(avatar_split_clause,[],[f13489,f13372,f8596,f8591,f7489,f7117,f6446,f5258,f5228,f5208,f5198,f5148,f13670]) ).
fof(f13676,plain,
( ! [X0] : hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,X0)) = hAPP(hAPP(sF30,hAPP(sF47,sF53)),hAPP(sF59,X0))
| ~ spl61_358
| ~ spl61_443 ),
inference(superposition,[],[f11517,f13672]) ).
fof(f13679,plain,
( ! [X0] : hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,X0)) = hAPP(sF47,hAPP(hAPP(sF30,sF53),hAPP(sF59,X0)))
| ~ spl61_176
| ~ spl61_358
| ~ spl61_443 ),
inference(forward_demodulation,[],[f13676,f6877]) ).
fof(f13682,plain,
( ! [X0] : hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,X0)) = hAPP(sF47,hAPP(sF54,hAPP(sF59,X0)))
| ~ spl61_14
| ~ spl61_176
| ~ spl61_358
| ~ spl61_443 ),
inference(forward_demodulation,[],[f13679,f5160]) ).
fof(f13764,definition,
( spl61_446
<=> v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF38,sF45) ),
introduced(definition,[new_symbols(definition,[spl61_446])],[avatar_definition]) ).
fof(f13766,plain,
( v_na____ = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF38,sF45)
| ~ spl61_446 ),
inference(avatar_component_clause,[],[f13764]) ).
fof(f13767,plain,
( spl61_446
| ~ spl61_24
| ~ spl61_110
| ~ spl61_236
| ~ spl61_237
| ~ spl61_434 ),
inference(avatar_split_clause,[],[f13452,f13372,f8618,f8596,f5766,f5208,f13764]) ).
fof(f13852,definition,
( spl61_450
<=> ! [X0] : hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,X0)) = hAPP(sF47,hAPP(sF54,hAPP(sF59,X0))) ),
introduced(definition,[new_symbols(definition,[spl61_450])],[avatar_definition]) ).
fof(f13853,plain,
( ! [X0] : hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,X0)) = hAPP(sF47,hAPP(sF54,hAPP(sF59,X0)))
| ~ spl61_450 ),
inference(avatar_component_clause,[],[f13852]) ).
fof(f13854,plain,
( spl61_450
| ~ spl61_14
| ~ spl61_176
| ~ spl61_358
| ~ spl61_443 ),
inference(avatar_split_clause,[],[f13682,f13670,f11516,f6876,f5158,f13852]) ).
fof(f18482,plain,
( hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,sF38)) = hAPP(sF47,hAPP(sF54,hAPP(sF40,sF56)))
| ~ spl61_442
| ~ spl61_450 ),
inference(superposition,[],[f13853,f13653]) ).
fof(f18498,plain,
( hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,sF38)) = hAPP(sF47,hAPP(sF40,hAPP(sF54,sF56)))
| ~ spl61_171
| ~ spl61_174
| ~ spl61_442
| ~ spl61_450 ),
inference(forward_demodulation,[],[f18482,f7009]) ).
fof(f18501,plain,
( hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,sF38)) = hAPP(sF49,hAPP(sF54,sF56))
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_450 ),
inference(forward_demodulation,[],[f18498,f7572]) ).
fof(f18502,plain,
( hAPP(sF49,sF57) = hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF45,sF38))
| ~ spl61_30
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_450 ),
inference(forward_demodulation,[],[f18501,f5240]) ).
fof(f18503,plain,
( hAPP(sF49,sF57) = hAPP(sF59,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,sF38,sF45))
| ~ spl61_30
| ~ spl61_110
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_450 ),
inference(forward_demodulation,[],[f18502,f5767]) ).
fof(f18504,plain,
( hAPP(sF49,sF57) = hAPP(sF59,v_na____)
| ~ spl61_30
| ~ spl61_110
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_446
| ~ spl61_450 ),
inference(forward_demodulation,[],[f18503,f13766]) ).
fof(f18505,plain,
( hAPP(sF49,sF57) = sF60
| ~ spl61_1
| ~ spl61_30
| ~ spl61_110
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_446
| ~ spl61_450 ),
inference(forward_demodulation,[],[f18504,f5095]) ).
fof(f18506,plain,
( sF58 = sF60
| ~ spl61_1
| ~ spl61_3
| ~ spl61_30
| ~ spl61_110
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_446
| ~ spl61_450 ),
inference(forward_demodulation,[],[f18505,f5105]) ).
fof(f18508,plain,
( sP28(sF58)
| ~ spl61_1
| ~ spl61_3
| ~ spl61_30
| ~ spl61_40
| ~ spl61_110
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_446
| ~ spl61_450 ),
inference(backward_demodulation,[],[f5290,f18506]) ).
fof(f18516,plain,
( $false
| ~ spl61_1
| ~ spl61_3
| spl61_21
| ~ spl61_30
| ~ spl61_40
| ~ spl61_110
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_446
| ~ spl61_450 ),
inference(forward_subsumption_resolution,[],[f18508,f5195]) ).
fof(f18517,plain,
( ~ spl61_1
| ~ spl61_3
| spl61_21
| ~ spl61_30
| ~ spl61_40
| ~ spl61_110
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_446
| ~ spl61_450 ),
inference(avatar_contradiction_clause,[],[f18516]) ).
cnf(s1,plain,
spl61_1,
inference(sat_conversion,[],[f5096]) ).
cnf(s3,plain,
spl61_3,
inference(sat_conversion,[],[f5106]) ).
cnf(s4,plain,
spl61_4,
inference(sat_conversion,[],[f5111]) ).
cnf(s5,plain,
spl61_5,
inference(sat_conversion,[],[f5116]) ).
cnf(s6,plain,
spl61_6,
inference(sat_conversion,[],[f5121]) ).
cnf(s7,plain,
spl61_7,
inference(sat_conversion,[],[f5126]) ).
cnf(s8,plain,
spl61_8,
inference(sat_conversion,[],[f5131]) ).
cnf(s10,plain,
spl61_10,
inference(sat_conversion,[],[f5141]) ).
cnf(s11,plain,
spl61_11,
inference(sat_conversion,[],[f5146]) ).
cnf(s12,plain,
spl61_12,
inference(sat_conversion,[],[f5151]) ).
cnf(s14,plain,
spl61_14,
inference(sat_conversion,[],[f5161]) ).
cnf(s16,plain,
spl61_16,
inference(sat_conversion,[],[f5171]) ).
cnf(s17,plain,
spl61_17,
inference(sat_conversion,[],[f5176]) ).
cnf(s19,plain,
spl61_19,
inference(sat_conversion,[],[f5186]) ).
cnf(s20,plain,
spl61_20,
inference(sat_conversion,[],[f5191]) ).
cnf(s21,plain,
~ spl61_21,
inference(sat_conversion,[],[f5196]) ).
cnf(s22,plain,
spl61_22,
inference(sat_conversion,[],[f5201]) ).
cnf(s23,plain,
spl61_23,
inference(sat_conversion,[],[f5206]) ).
cnf(s24,plain,
spl61_24,
inference(sat_conversion,[],[f5211]) ).
cnf(s25,plain,
spl61_25,
inference(sat_conversion,[],[f5216]) ).
cnf(s26,plain,
spl61_26,
inference(sat_conversion,[],[f5221]) ).
cnf(s27,plain,
spl61_27,
inference(sat_conversion,[],[f5226]) ).
cnf(s28,plain,
spl61_28,
inference(sat_conversion,[],[f5231]) ).
cnf(s30,plain,
spl61_30,
inference(sat_conversion,[],[f5241]) ).
cnf(s31,plain,
spl61_31,
inference(sat_conversion,[],[f5246]) ).
cnf(s33,plain,
spl61_33,
inference(sat_conversion,[],[f5256]) ).
cnf(s34,plain,
spl61_34,
inference(sat_conversion,[],[f5261]) ).
cnf(s36,plain,
spl61_36,
inference(sat_conversion,[],[f5271]) ).
cnf(s37,plain,
spl61_37,
inference(sat_conversion,[],[f5276]) ).
cnf(s40,plain,
spl61_40,
inference(sat_conversion,[],[f5291]) ).
cnf(s41,plain,
spl61_41,
inference(sat_conversion,[],[f5296]) ).
cnf(s42,plain,
spl61_42,
inference(sat_conversion,[],[f5300]) ).
cnf(s43,plain,
spl61_43,
inference(sat_conversion,[],[f5305]) ).
cnf(s46,plain,
spl61_46,
inference(sat_conversion,[],[f5320]) ).
cnf(s49,plain,
spl61_49,
inference(sat_conversion,[],[f5333]) ).
cnf(s56,plain,
spl61_56,
inference(sat_conversion,[],[f5364]) ).
cnf(s58,plain,
spl61_58,
inference(sat_conversion,[],[f5372]) ).
cnf(s59,plain,
spl61_59,
inference(sat_conversion,[],[f5376]) ).
cnf(s60,plain,
~ spl61_60,
inference(sat_conversion,[],[f5381]) ).
cnf(s63,plain,
~ spl61_63,
inference(sat_conversion,[],[f5394]) ).
cnf(s65,plain,
spl61_65,
inference(sat_conversion,[],[f5402]) ).
cnf(s75,plain,
spl61_75,
inference(sat_conversion,[],[f5451]) ).
cnf(s81,plain,
spl61_81,
inference(sat_conversion,[],[f5501]) ).
cnf(s86,plain,
spl61_86,
inference(sat_conversion,[],[f5529]) ).
cnf(s87,plain,
( ~ spl61_20
| ~ spl61_27
| ~ spl61_37
| ~ spl61_81
| ~ spl61_86
| spl61_87 ),
inference(sat_conversion,[],[f5540]) ).
cnf(s93,plain,
spl61_93,
inference(sat_conversion,[],[f5617]) ).
cnf(s103,plain,
( ~ spl61_31
| spl61_63
| ~ spl61_87
| spl61_103 ),
inference(sat_conversion,[],[f5680]) ).
cnf(s110,plain,
spl61_110,
inference(sat_conversion,[],[f5768]) ).
cnf(s159,plain,
spl61_160,
inference(sat_conversion,[],[f6289]) ).
cnf(s160,plain,
( ~ spl61_37
| ~ spl61_75
| ~ spl61_160
| spl61_161 ),
inference(sat_conversion,[],[f6307]) ).
cnf(s161,plain,
( ~ spl61_20
| ~ spl61_56
| ~ spl61_161
| spl61_162 ),
inference(sat_conversion,[],[f6370]) ).
cnf(s165,plain,
( ~ spl61_20
| ~ spl61_65
| ~ spl61_161
| spl61_166 ),
inference(sat_conversion,[],[f6448]) ).
cnf(s167,plain,
( ~ spl61_6
| ~ spl61_166
| spl61_168 ),
inference(sat_conversion,[],[f6530]) ).
cnf(s170,plain,
( ~ spl61_14
| ~ spl61_166
| spl61_171 ),
inference(sat_conversion,[],[f6710]) ).
cnf(s173,plain,
( ~ spl61_17
| ~ spl61_162
| spl61_174 ),
inference(sat_conversion,[],[f6791]) ).
cnf(s175,plain,
( ~ spl61_6
| ~ spl61_162
| spl61_176 ),
inference(sat_conversion,[],[f6878]) ).
cnf(s178,plain,
( ~ spl61_20
| ~ spl61_27
| ~ spl61_42
| ~ spl61_161
| spl61_179 ),
inference(sat_conversion,[],[f6890]) ).
cnf(s181,plain,
( ~ spl61_8
| ~ spl61_43
| ~ spl61_176
| spl61_182 ),
inference(sat_conversion,[],[f7119]) ).
cnf(s189,plain,
( ~ spl61_6
| ~ spl61_179
| spl61_190 ),
inference(sat_conversion,[],[f7410]) ).
cnf(s193,plain,
( ~ spl61_17
| ~ spl61_36
| ~ spl61_168
| spl61_194 ),
inference(sat_conversion,[],[f7430]) ).
cnf(s194,plain,
( ~ spl61_20
| ~ spl61_26
| ~ spl61_49
| ~ spl61_161
| spl61_195 ),
inference(sat_conversion,[],[f7444]) ).
cnf(s195,plain,
( ~ spl61_10
| ~ spl61_19
| ~ spl61_195
| spl61_196 ),
inference(sat_conversion,[],[f7471]) ).
cnf(s196,plain,
( ~ spl61_5
| ~ spl61_7
| ~ spl61_41
| ~ spl61_196
| spl61_197 ),
inference(sat_conversion,[],[f7491]) ).
cnf(s200,plain,
( ~ spl61_4
| ~ spl61_6
| ~ spl61_36
| ~ spl61_168
| ~ spl61_174
| spl61_201 ),
inference(sat_conversion,[],[f7573]) ).
cnf(s203,plain,
( ~ spl61_17
| ~ spl61_24
| ~ spl61_197
| spl61_204 ),
inference(sat_conversion,[],[f7588]) ).
cnf(s204,plain,
( ~ spl61_20
| ~ spl61_26
| ~ spl61_93
| ~ spl61_161
| spl61_205 ),
inference(sat_conversion,[],[f7593]) ).
cnf(s232,plain,
( ~ spl61_17
| ~ spl61_36
| ~ spl61_46
| ~ spl61_103
| spl61_233
| spl61_234 ),
inference(sat_conversion,[],[f8575]) ).
cnf(s233,plain,
( spl61_60
| ~ spl61_190
| ~ spl61_194
| ~ spl61_233 ),
inference(sat_conversion,[],[f8576]) ).
cnf(s234,plain,
( ~ spl61_33
| ~ spl61_58
| ~ spl61_59
| ~ spl61_234
| spl61_235 ),
inference(sat_conversion,[],[f8594]) ).
cnf(s235,plain,
( ~ spl61_33
| ~ spl61_58
| ~ spl61_234
| spl61_236 ),
inference(sat_conversion,[],[f8599]) ).
cnf(s236,plain,
( ~ spl61_33
| ~ spl61_58
| ~ spl61_234
| spl61_237 ),
inference(sat_conversion,[],[f8621]) ).
cnf(s356,plain,
( ~ spl61_7
| ~ spl61_205
| spl61_358 ),
inference(sat_conversion,[],[f11518]) ).
cnf(s445,plain,
spl61_432,
inference(sat_conversion,[],[f13298]) ).
cnf(s446,plain,
( ~ spl61_16
| ~ spl61_25
| ~ spl61_26
| ~ spl61_27
| ~ spl61_37
| ~ spl61_75
| ~ spl61_432
| spl61_433 ),
inference(sat_conversion,[],[f13321]) ).
cnf(s447,plain,
( ~ spl61_10
| ~ spl61_11
| ~ spl61_433
| spl61_434 ),
inference(sat_conversion,[],[f13374]) ).
cnf(s455,plain,
( ~ spl61_23
| ~ spl61_24
| ~ spl61_204
| ~ spl61_236
| ~ spl61_434
| spl61_442 ),
inference(sat_conversion,[],[f13654]) ).
cnf(s456,plain,
( ~ spl61_12
| ~ spl61_22
| ~ spl61_24
| ~ spl61_28
| ~ spl61_34
| ~ spl61_166
| ~ spl61_182
| ~ spl61_197
| ~ spl61_235
| ~ spl61_236
| ~ spl61_434
| spl61_443 ),
inference(sat_conversion,[],[f13673]) ).
cnf(s459,plain,
( ~ spl61_24
| ~ spl61_110
| ~ spl61_236
| ~ spl61_237
| ~ spl61_434
| spl61_446 ),
inference(sat_conversion,[],[f13767]) ).
cnf(s463,plain,
( ~ spl61_14
| ~ spl61_176
| ~ spl61_358
| ~ spl61_443
| spl61_450 ),
inference(sat_conversion,[],[f13854]) ).
cnf(s516,plain,
( ~ spl61_1
| ~ spl61_3
| spl61_21
| ~ spl61_30
| ~ spl61_40
| ~ spl61_110
| ~ spl61_171
| ~ spl61_174
| ~ spl61_201
| ~ spl61_442
| ~ spl61_446
| ~ spl61_450 ),
inference(sat_conversion,[],[f18517]) ).
cnf(s547,plain,
spl61_161,
inference(rat,[],[s160,s75,s159,s37]) ).
cnf(s593,plain,
spl61_205,
inference(rat,[],[s204,s26,s547,s93,s20]) ).
cnf(s594,plain,
spl61_195,
inference(rat,[],[s194,s26,s547,s49,s20]) ).
cnf(s595,plain,
spl61_179,
inference(rat,[],[s178,s27,s547,s42,s20]) ).
cnf(s596,plain,
spl61_166,
inference(rat,[],[s165,s547,s65,s20]) ).
cnf(s600,plain,
spl61_162,
inference(rat,[],[s161,s547,s56,s20]) ).
cnf(s603,plain,
spl61_87,
inference(rat,[],[s87,s27,s86,s81,s37,s20]) ).
cnf(s610,plain,
spl61_103,
inference(rat,[],[s103,s31,s63,s603]) ).
cnf(s626,plain,
spl61_174,
inference(rat,[],[s173,s600,s17]) ).
cnf(s629,plain,
spl61_433,
inference(rat,[],[s446,s25,s445,s75,s37,s27,s26,s16]) ).
cnf(s656,plain,
spl61_171,
inference(rat,[],[s170,s596,s14]) ).
cnf(s664,plain,
spl61_434,
inference(rat,[],[s447,s11,s629,s10]) ).
cnf(s668,plain,
spl61_196,
inference(rat,[],[s195,s19,s594,s10]) ).
cnf(s690,plain,
spl61_358,
inference(rat,[],[s356,s593,s7]) ).
cnf(s699,plain,
spl61_190,
inference(rat,[],[s189,s595,s6]) ).
cnf(s700,plain,
spl61_176,
inference(rat,[],[s175,s600,s6]) ).
cnf(s701,plain,
spl61_168,
inference(rat,[],[s167,s596,s6]) ).
cnf(s708,plain,
spl61_182,
inference(rat,[],[s181,s8,s43,s700]) ).
cnf(s713,plain,
spl61_194,
inference(rat,[],[s193,s17,s36,s701]) ).
cnf(s725,plain,
~ spl61_233,
inference(rat,[],[s233,s699,s60,s713]) ).
cnf(s730,plain,
spl61_234,
inference(rat,[],[s232,s17,s610,s36,s46,s725]) ).
cnf(s731,plain,
spl61_237,
inference(rat,[],[s236,s33,s58,s730]) ).
cnf(s732,plain,
spl61_236,
inference(rat,[],[s235,s33,s58,s730]) ).
cnf(s733,plain,
spl61_235,
inference(rat,[],[s234,s33,s58,s59,s730]) ).
cnf(s735,plain,
spl61_446,
inference(rat,[],[s459,s731,s664,s24,s110,s732]) ).
cnf(s749,plain,
spl61_197,
inference(rat,[],[s196,s7,s668,s41,s5]) ).
cnf(s752,plain,
spl61_204,
inference(rat,[],[s203,s17,s24,s749]) ).
cnf(s753,plain,
spl61_443,
inference(rat,[],[s456,s733,s664,s732,s708,s12,s596,s22,s34,s28,s24,s749]) ).
cnf(s755,plain,
spl61_442,
inference(rat,[],[s455,s732,s664,s23,s24,s752]) ).
cnf(s756,plain,
spl61_450,
inference(rat,[],[s463,s700,s690,s14,s753]) ).
cnf(s763,plain,
spl61_201,
inference(rat,[],[s200,s701,s626,s6,s36,s4]) ).
cnf(s789,plain,
~ spl61_1,
inference(rat,[],[s516,s756,s735,s755,s763,s626,s656,s110,s40,s30,s21,s3]) ).
cnf(s792,plain,
$false,
inference(rat,[],[s1,s789]) ).
fof(f18518,plain,
$false,
inference(avatar_sat_refutation,[],[s792]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW279+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 % Computer : n019.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Mon Sep 28 13:29:19 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running first-order theorem proving
% 0.10/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.66/2.52 % (4000240)Detected formulas, will run a generic FOF schedule.
% 12.66/2.52 % (4000245)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1546781188:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.66/2.52 % (4000250)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1916475392:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.66/2.52 % (4000247)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3617744845:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.66/2.52 % (4000249)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=406397784:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.66/2.52 % (4000248)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1002069494:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.66/2.52 % (4000246)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=463284156:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.66/2.52 % (4000251)dis-21_1_sil=8000:lcm=predicate:random_seed=468901946:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 12.66/2.52 % (4000248)Refutation not found, incomplete strategy
% 12.66/2.52 % (4000248)------------------------------
% 12.66/2.52 % (4000248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.52 % (4000248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.52 % (4000248)CaDiCaL version: 2.1.3
% 12.66/2.52 % (4000248)Termination reason: Refutation not found, incomplete strategy
% 12.66/2.52 % (4000248)Time elapsed: 0.018 s
% 12.66/2.52 % (4000248)Peak memory usage: 90 MB
% 12.66/2.52 % (4000248)Instructions burned: 31 (million)
% 12.66/2.52 % (4000251)Instruction limit reached!
% 12.66/2.52 % (4000251)------------------------------
% 12.66/2.52 % (4000251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.52 % (4000251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.52 % (4000251)CaDiCaL version: 2.1.3
% 12.66/2.52 % (4000251)Termination reason: Instruction limit
% 12.66/2.52 % (4000251)Termination phase: Saturation
% 12.66/2.52 % (4000251)Time elapsed: 0.067 s
% 12.66/2.52 % (4000251)Peak memory usage: 91 MB
% 12.66/2.52 % (4000251)Instructions burned: 129 (million)
% 12.66/2.52 % (4000249)Instruction limit reached!
% 12.66/2.52 % (4000249)------------------------------
% 12.66/2.52 % (4000249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.52 % (4000249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.52 % (4000249)CaDiCaL version: 2.1.3
% 12.66/2.52 % (4000249)Termination reason: Instruction limit
% 12.66/2.52 % (4000249)Termination phase: Saturation
% 12.66/2.52 % (4000249)Time elapsed: 0.070 s
% 12.66/2.52 % (4000249)Peak memory usage: 90 MB
% 12.66/2.52 % (4000249)Instructions burned: 120 (million)
% 12.66/2.52 % (4000250)Instruction limit reached!
% 12.66/2.52 % (4000250)------------------------------
% 12.66/2.52 % (4000250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.52 % (4000250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.52 % (4000250)CaDiCaL version: 2.1.3
% 12.66/2.52 % (4000250)Termination reason: Instruction limit
% 12.66/2.52 % (4000250)Termination phase: Saturation
% 12.66/2.52 % (4000250)Time elapsed: 0.078 s
% 12.66/2.52 % (4000250)Peak memory usage: 91 MB
% 12.66/2.52 % (4000250)Instructions burned: 140 (million)
% 12.66/2.52 % (4000259)lrs+10_1_sil=8000:sp=occurrence:random_seed=4122331335:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.66/2.52 % (4000260)lrs+10_1_sil=32000:urr=on:br=off:random_seed=507737547:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.66/2.52 % (4000261)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2085549784:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 12.66/2.52 % (4000248)------------------------------
% 12.66/2.52 % (4000248)------------------------------
% 12.66/2.52 % (4000260)Instruction limit reached!
% 12.66/2.52 % (4000260)------------------------------
% 12.66/2.52 % (4000260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.86/3.62 % (4000260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.62 % (4000260)CaDiCaL version: 2.1.3
% 19.86/3.62 % (4000260)Termination reason: Instruction limit
% 19.86/3.62 % (4000260)Termination phase: Saturation
% 19.86/3.62 % (4000260)Time elapsed: 0.093 s
% 19.86/3.62 % (4000260)Peak memory usage: 91 MB
% 19.86/3.62 % (4000260)Instructions burned: 159 (million)
% 19.86/3.62 % (4000265)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1889940786:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.86/3.62 % (4000259)Instruction limit reached!
% 19.86/3.62 % (4000259)------------------------------
% 19.86/3.62 % (4000259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.86/3.62 % (4000259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.62 % (4000259)CaDiCaL version: 2.1.3
% 19.86/3.62 % (4000259)Termination reason: Instruction limit
% 19.86/3.62 % (4000259)Termination phase: Saturation
% 19.86/3.62 % (4000259)Time elapsed: 0.182 s
% 19.86/3.62 % (4000259)Peak memory usage: 92 MB
% 19.86/3.62 % (4000259)Instructions burned: 286 (million)
% 19.86/3.62 % (4000261)Instruction limit reached!
% 19.86/3.62 % (4000261)------------------------------
% 19.86/3.62 % (4000261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.86/3.62 % (4000261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.62 % (4000261)CaDiCaL version: 2.1.3
% 19.86/3.62 % (4000261)Termination reason: Instruction limit
% 19.86/3.62 % (4000261)Termination phase: Saturation
% 19.86/3.62 % (4000261)Time elapsed: 0.201 s
% 19.86/3.62 % (4000261)Peak memory usage: 93 MB
% 19.86/3.62 % (4000261)Instructions burned: 325 (million)
% 19.86/3.62 % (4000266)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1297581209:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.86/3.62 % (4000265)Instruction limit reached!
% 19.86/3.62 % (4000265)------------------------------
% 19.86/3.62 % (4000265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.86/3.62 % (4000265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.62 % (4000265)CaDiCaL version: 2.1.3
% 19.86/3.62 % (4000265)Termination reason: Instruction limit
% 19.86/3.62 % (4000265)Termination phase: Saturation
% 19.86/3.62 % (4000265)Time elapsed: 0.073 s
% 19.86/3.62 % (4000265)Peak memory usage: 94 MB
% 19.86/3.62 % (4000265)Instructions burned: 251 (million)
% 19.86/3.62 % (4000268)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1797370719:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.86/3.62 % (4000271)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=420782632:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 19.86/3.62 % (4000269)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=947486175:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.86/3.62 % (4000271)Refutation not found, incomplete strategy
% 19.86/3.62 % (4000271)------------------------------
% 19.86/3.62 % (4000271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.86/3.62 % (4000271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.62 % (4000271)CaDiCaL version: 2.1.3
% 19.86/3.62 % (4000271)Termination reason: Refutation not found, incomplete strategy
% 19.86/3.62 % (4000271)Time elapsed: 0.030 s
% 19.86/3.62 % (4000271)Peak memory usage: 90 MB
% 19.86/3.62 % (4000271)Instructions burned: 117 (million)
% 19.86/3.62 % (4000266)Instruction limit reached!
% 19.86/3.62 % (4000266)------------------------------
% 19.86/3.62 % (4000266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.86/3.62 % (4000266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.62 % (4000266)CaDiCaL version: 2.1.3
% 19.86/3.62 % (4000266)Termination reason: Instruction limit
% 19.86/3.62 % (4000266)Termination phase: Saturation
% 19.86/3.62 % (4000266)Time elapsed: 0.168 s
% 19.86/3.62 % (4000266)Peak memory usage: 92 MB
% 19.86/3.62 % (4000266)Instructions burned: 294 (million)
% 19.86/3.62 % (4000269)Instruction limit reached!
% 19.86/3.62 % (4000269)------------------------------
% 19.86/3.62 % (4000269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.86/3.62 % (4000269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.62 % (4000269)CaDiCaL version: 2.1.3
% 34.59/5.68 % (4000269)Termination reason: Instruction limit
% 34.59/5.68 % (4000269)Termination phase: Saturation
% 34.59/5.68 % (4000269)Time elapsed: 0.058 s
% 34.59/5.68 % (4000269)Peak memory usage: 90 MB
% 34.59/5.68 % (4000269)Instructions burned: 113 (million)
% 34.59/5.68 % (4000271)------------------------------
% 34.59/5.68 % (4000271)------------------------------
% 34.59/5.68 % (4000275)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=398577746:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 34.59/5.68 % (4000276)lrs+10_1_sil=8000:sp=occurrence:random_seed=2512915987:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 34.59/5.68 % (4000275)Instruction limit reached!
% 34.59/5.68 % (4000275)------------------------------
% 34.59/5.68 % (4000275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.59/5.68 % (4000275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.59/5.68 % (4000275)CaDiCaL version: 2.1.3
% 34.59/5.68 % (4000275)Termination reason: Instruction limit
% 34.59/5.68 % (4000275)Termination phase: Saturation
% 34.59/5.68 % (4000275)Time elapsed: 0.059 s
% 34.59/5.68 % (4000275)Peak memory usage: 90 MB
% 34.59/5.68 % (4000275)Instructions burned: 116 (million)
% 34.59/5.68 % (4000277)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=223816975:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 34.59/5.68 % (4000277)Instruction limit reached!
% 34.59/5.68 % (4000277)------------------------------
% 34.59/5.68 % (4000277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.59/5.68 % (4000277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.59/5.68 % (4000277)CaDiCaL version: 2.1.3
% 34.59/5.68 % (4000277)Termination reason: Instruction limit
% 34.59/5.68 % (4000277)Termination phase: Saturation
% 34.59/5.68 % (4000277)Time elapsed: 0.124 s
% 34.59/5.68 % (4000277)Peak memory usage: 93 MB
% 34.59/5.68 % (4000277)Instructions burned: 438 (million)
% 34.59/5.68 % (4000280)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4159127111:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 34.59/5.68 % (4000282)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2112434450:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 34.59/5.68 % (4000282)Instruction limit reached!
% 34.59/5.68 % (4000282)------------------------------
% 34.59/5.68 % (4000282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.59/5.68 % (4000282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.59/5.68 % (4000282)CaDiCaL version: 2.1.3
% 34.59/5.68 % (4000282)Termination reason: Instruction limit
% 34.59/5.68 % (4000282)Termination phase: Saturation
% 34.59/5.68 % (4000282)Time elapsed: 0.040 s
% 34.59/5.68 % (4000282)Peak memory usage: 92 MB
% 34.59/5.68 % (4000282)Instructions burned: 137 (million)
% 34.59/5.68 % (4000285)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2301616851:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 34.59/5.68 % (4000276)Instruction limit reached!
% 34.59/5.68 % (4000276)------------------------------
% 34.59/5.68 % (4000276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.59/5.68 % (4000276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.59/5.68 % (4000276)CaDiCaL version: 2.1.3
% 34.59/5.68 % (4000276)Termination reason: Instruction limit
% 34.59/5.68 % (4000276)Termination phase: Saturation
% 34.59/5.68 % (4000276)Time elapsed: 0.577 s
% 34.59/5.68 % (4000276)Peak memory usage: 97 MB
% 34.59/5.68 % (4000276)Instructions burned: 908 (million)
% 34.59/5.68 % (4000285)Instruction limit reached!
% 34.59/5.68 % (4000285)------------------------------
% 34.59/5.68 % (4000285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.59/5.68 % (4000285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.59/5.68 % (4000285)CaDiCaL version: 2.1.3
% 34.59/5.68 % (4000285)Termination reason: Instruction limit
% 34.59/5.68 % (4000285)Termination phase: Saturation
% 34.59/5.68 % (4000285)Time elapsed: 0.172 s
% 34.59/5.68 % (4000285)Peak memory usage: 99 MB
% 34.59/5.68 % (4000285)Instructions burned: 595 (million)
% 34.59/5.68 % (4000287)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1192378519:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 34.59/5.68 % (4000288)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3927437695:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 66.94/10.28 % (4000288)Instruction limit reached!
% 66.94/10.28 % (4000288)------------------------------
% 66.94/10.28 % (4000288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.94/10.28 % (4000288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.94/10.28 % (4000288)CaDiCaL version: 2.1.3
% 66.94/10.28 % (4000288)Termination reason: Instruction limit
% 66.94/10.28 % (4000288)Termination phase: Saturation
% 66.94/10.28 % (4000288)Time elapsed: 0.033 s
% 66.94/10.28 % (4000288)Peak memory usage: 90 MB
% 66.94/10.28 % (4000288)Instructions burned: 126 (million)
% 66.94/10.28 % (4000291)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3331571512:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 66.94/10.28 % (4000291)Instruction limit reached!
% 66.94/10.28 % (4000291)------------------------------
% 66.94/10.28 % (4000291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.94/10.28 % (4000291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.94/10.28 % (4000291)CaDiCaL version: 2.1.3
% 66.94/10.28 % (4000291)Termination reason: Instruction limit
% 66.94/10.28 % (4000291)Termination phase: Saturation
% 66.94/10.28 % (4000291)Time elapsed: 0.035 s
% 66.94/10.28 % (4000291)Peak memory usage: 90 MB
% 66.94/10.28 % (4000291)Instructions burned: 138 (million)
% 66.94/10.28 % (4000293)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3089861088:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 66.94/10.28 % (4000293)Refutation not found, incomplete strategy
% 66.94/10.28 % (4000293)------------------------------
% 66.94/10.28 % (4000293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.94/10.28 % (4000293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.94/10.28 % (4000293)CaDiCaL version: 2.1.3
% 66.94/10.28 % (4000293)Termination reason: Refutation not found, incomplete strategy
% 66.94/10.28 % (4000293)Time elapsed: 0.005 s
% 66.94/10.28 % (4000293)Peak memory usage: 89 MB
% 66.94/10.28 % (4000293)Instructions burned: 16 (million)
% 66.94/10.28 % (4000268)Instruction limit reached!
% 66.94/10.28 % (4000268)------------------------------
% 66.94/10.28 % (4000268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.94/10.28 % (4000268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.94/10.28 % (4000268)CaDiCaL version: 2.1.3
% 66.94/10.28 % (4000268)Termination reason: Instruction limit
% 66.94/10.28 % (4000268)Termination phase: Saturation
% 66.94/10.28 % (4000268)Time elapsed: 1.461 s
% 66.94/10.28 % (4000268)Peak memory usage: 147 MB
% 66.94/10.28 % (4000268)Instructions burned: 2351 (million)
% 66.94/10.28 % (4000293)------------------------------
% 66.94/10.28 % (4000293)------------------------------
% 66.94/10.28 % (4000295)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1470490593:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 66.94/10.28 % (4000296)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=127934559:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 66.94/10.28 % (4000295)Instruction limit reached!
% 66.94/10.28 % (4000295)------------------------------
% 66.94/10.28 % (4000295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.94/10.28 % (4000295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.94/10.28 % (4000295)CaDiCaL version: 2.1.3
% 66.94/10.28 % (4000295)Termination reason: Instruction limit
% 66.94/10.28 % (4000295)Termination phase: Saturation
% 66.94/10.28 % (4000295)Time elapsed: 0.260 s
% 66.94/10.28 % (4000295)Peak memory usage: 93 MB
% 66.94/10.28 % (4000295)Instructions burned: 432 (million)
% 66.94/10.28 % (4000299)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1236804496:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 66.94/10.28 % (4000299)Instruction limit reached!
% 66.94/10.28 % (4000299)------------------------------
% 66.94/10.28 % (4000299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 66.94/10.28 % (4000299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.15/15.04 % (4000299)CaDiCaL version: 2.1.3
% 100.15/15.04 % (4000299)Termination reason: Instruction limit
% 100.15/15.04 % (4000299)Termination phase: Saturation
% 100.15/15.04 % (4000299)Time elapsed: 0.080 s
% 100.15/15.04 % (4000299)Peak memory usage: 91 MB
% 100.15/15.04 % (4000299)Instructions burned: 150 (million)
% 100.15/15.04 % (4000301)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=111019182:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 100.15/15.04 % (4000280)Instruction limit reached!
% 100.15/15.04 % (4000280)------------------------------
% 100.15/15.04 % (4000280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 100.15/15.04 % (4000280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.15/15.04 % (4000280)CaDiCaL version: 2.1.3
% 100.15/15.04 % (4000280)Termination reason: Instruction limit
% 100.15/15.04 % (4000280)Termination phase: Saturation
% 100.15/15.04 % (4000280)Time elapsed: 3.028 s
% 100.15/15.04 % (4000280)Peak memory usage: 164 MB
% 100.15/15.04 % (4000280)Instructions burned: 5203 (million)
% 100.15/15.04 % (4000303)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1844954044:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 100.15/15.04 % (4000303)Refutation not found, incomplete strategy
% 100.15/15.04 % (4000303)------------------------------
% 100.15/15.04 % (4000303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 100.15/15.04 % (4000303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.15/15.04 % (4000303)CaDiCaL version: 2.1.3
% 100.15/15.04 % (4000303)Termination reason: Refutation not found, incomplete strategy
% 100.15/15.04 % (4000303)Time elapsed: 0.065 s
% 100.15/15.04 % (4000303)Peak memory usage: 91 MB
% 100.15/15.04 % (4000303)Instructions burned: 130 (million)
% 100.15/15.04 % (4000296)Instruction limit reached!
% 100.15/15.04 % (4000296)------------------------------
% 100.15/15.04 % (4000296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 100.15/15.04 % (4000296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.15/15.04 % (4000296)CaDiCaL version: 2.1.3
% 100.15/15.04 % (4000296)Termination reason: Instruction limit
% 100.15/15.04 % (4000296)Termination phase: Saturation
% 100.15/15.04 % (4000296)Time elapsed: 2.107 s
% 100.15/15.04 % (4000296)Peak memory usage: 183 MB
% 100.15/15.04 % (4000296)Instructions burned: 6063 (million)
% 100.15/15.04 % (4000305)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2486967084:s2a=on:i=185:s2at=1.8:fdi=4_2954 on theBenchmark for (2954ds/185Mi)
% 100.15/15.04 % (4000305)Instruction limit reached!
% 100.15/15.04 % (4000305)------------------------------
% 100.15/15.04 % (4000305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 100.15/15.04 % (4000305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.15/15.04 % (4000305)CaDiCaL version: 2.1.3
% 100.15/15.04 % (4000305)Termination reason: Instruction limit
% 100.15/15.04 % (4000305)Termination phase: Saturation
% 100.15/15.04 % (4000305)Time elapsed: 0.052 s
% 100.15/15.04 % (4000305)Peak memory usage: 92 MB
% 100.15/15.04 % (4000305)Instructions burned: 187 (million)
% 100.15/15.04 % (4000303)------------------------------
% 100.15/15.04 % (4000303)------------------------------
% 100.15/15.04 % (4000307)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1055782378:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2952 on theBenchmark for (2952ds/193Mi)
% 100.15/15.04 % (4000307)Instruction limit reached!
% 100.15/15.04 % (4000307)------------------------------
% 100.15/15.04 % (4000307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 100.15/15.04 % (4000307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 100.15/15.04 % (4000307)CaDiCaL version: 2.1.3
% 100.15/15.04 % (4000307)Termination reason: Instruction limit
% 100.15/15.04 % (4000307)Termination phase: Saturation
% 100.15/15.04 % (4000307)Time elapsed: 0.065 s
% 100.15/15.04 % (4000307)Peak memory usage: 93 MB
% 100.15/15.04 % (4000307)Instructions burned: 195 (million)
% 100.15/15.04 % (4000308)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=267411261:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2952 on theBenchmark for (2952ds/4850Mi)
% 100.15/15.04 % (4000308)Refutation not found, incomplete strategy
% 100.15/15.04 % (4000308)------------------------------
% 100.15/15.04 % (4000308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.92/20.38 % (4000308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.92/20.38 % (4000308)CaDiCaL version: 2.1.3
% 138.92/20.38 % (4000308)Termination reason: Refutation not found, incomplete strategy
% 138.92/20.38 % (4000308)Time elapsed: 0.049 s
% 138.92/20.38 % (4000308)Peak memory usage: 91 MB
% 138.92/20.38 % (4000308)Instructions burned: 97 (million)
% 138.92/20.38 % (4000310)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3571618940:i=12111:sd=1:ss=included_2950 on theBenchmark for (2950ds/12111Mi)
% 138.92/20.38 % (4000308)------------------------------
% 138.92/20.38 % (4000308)------------------------------
% 138.92/20.38 % (4000313)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=445141648:i=319:kws=precedence:fsr=off_2947 on theBenchmark for (2947ds/319Mi)
% 138.92/20.38 % (4000313)Instruction limit reached!
% 138.92/20.38 % (4000313)------------------------------
% 138.92/20.38 % (4000313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.92/20.38 % (4000313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.92/20.38 % (4000313)CaDiCaL version: 2.1.3
% 138.92/20.38 % (4000313)Termination reason: Instruction limit
% 138.92/20.38 % (4000313)Termination phase: Saturation
% 138.92/20.38 % (4000313)Time elapsed: 0.183 s
% 138.92/20.38 % (4000313)Peak memory usage: 94 MB
% 138.92/20.38 % (4000313)Instructions burned: 319 (million)
% 138.92/20.38 % (4000315)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2319235857:i=2064:ep=RST_2944 on theBenchmark for (2944ds/2064Mi)
% 138.92/20.38 % (4000315)Instruction limit reached!
% 138.92/20.38 % (4000315)------------------------------
% 138.92/20.38 % (4000315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.92/20.38 % (4000315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.92/20.38 % (4000315)CaDiCaL version: 2.1.3
% 138.92/20.38 % (4000315)Termination reason: Instruction limit
% 138.92/20.38 % (4000315)Termination phase: Saturation
% 138.92/20.38 % (4000315)Time elapsed: 1.190 s
% 138.92/20.38 % (4000315)Peak memory usage: 106 MB
% 138.92/20.38 % (4000315)Instructions burned: 2065 (million)
% 138.92/20.38 % (4000317)dis-1011_128_sil=32000:random_seed=3802015520:i=3706:ep=RST:av=off_2930 on theBenchmark for (2930ds/3706Mi)
% 138.92/20.38 % (4000310)Instruction limit reached!
% 138.92/20.38 % (4000310)------------------------------
% 138.92/20.38 % (4000310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.92/20.38 % (4000310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.92/20.38 % (4000310)CaDiCaL version: 2.1.3
% 138.92/20.38 % (4000310)Termination reason: Instruction limit
% 138.92/20.38 % (4000310)Termination phase: Saturation
% 138.92/20.38 % (4000310)Time elapsed: 3.934 s
% 138.92/20.38 % (4000310)Peak memory usage: 214 MB
% 138.92/20.38 % (4000310)Instructions burned: 12114 (million)
% 138.92/20.38 % (4000319)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1078874204:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2910 on theBenchmark for (2910ds/757Mi)
% 138.92/20.38 % (4000319)Instruction limit reached!
% 138.92/20.38 % (4000319)------------------------------
% 138.92/20.38 % (4000319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.92/20.38 % (4000319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.92/20.38 % (4000319)CaDiCaL version: 2.1.3
% 138.92/20.38 % (4000319)Termination reason: Instruction limit
% 138.92/20.38 % (4000319)Termination phase: Saturation
% 138.92/20.38 % (4000319)Time elapsed: 0.213 s
% 138.92/20.38 % (4000319)Peak memory usage: 96 MB
% 138.92/20.38 % (4000319)Instructions burned: 759 (million)
% 138.92/20.38 % (4000317)Instruction limit reached!
% 138.92/20.38 % (4000317)------------------------------
% 138.92/20.38 % (4000317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.92/20.38 % (4000317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.92/20.38 % (4000317)CaDiCaL version: 2.1.3
% 138.92/20.38 % (4000317)Termination reason: Instruction limit
% 138.92/20.38 % (4000317)Termination phase: Saturation
% 138.92/20.38 % (4000317)Time elapsed: 1.951 s
% 138.92/20.38 % (4000317)Peak memory usage: 127 MB
% 138.92/20.38 % (4000317)Instructions burned: 3706 (million)
% 138.92/20.38 % (4000321)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=881997141:i=13913:ss=axioms:sgt=8_2906 on theBenchmark for (2906ds/13913Mi)
% 138.92/20.38 % (4000322)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3046398462:i=9925:aac=none_2905 on theBenchmark for (2905ds/9925Mi)
% 157.23/22.91 % (4000287)Instruction limit reached!
% 157.23/22.91 % (4000287)------------------------------
% 157.23/22.91 % (4000287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.23/22.91 % (4000287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.23/22.91 % (4000287)CaDiCaL version: 2.1.3
% 157.23/22.91 % (4000287)Termination reason: Instruction limit
% 157.23/22.91 % (4000287)Termination phase: Saturation
% 157.23/22.91 % (4000287)Time elapsed: 8.122 s
% 157.23/22.91 % (4000287)Peak memory usage: 230 MB
% 157.23/22.91 % (4000287)Instructions burned: 13195 (million)
% 157.23/22.91 % (4000325)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=1188126997:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2900 on theBenchmark for (2900ds/2479Mi)
% 157.23/22.91 % (4000325)Instruction limit reached!
% 157.23/22.91 % (4000325)------------------------------
% 157.23/22.91 % (4000325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.23/22.91 % (4000325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.23/22.91 % (4000325)CaDiCaL version: 2.1.3
% 157.23/22.91 % (4000325)Termination reason: Instruction limit
% 157.23/22.91 % (4000325)Termination phase: Saturation
% 157.23/22.91 % (4000325)Time elapsed: 1.362 s
% 157.23/22.91 % (4000325)Peak memory usage: 104 MB
% 157.23/22.91 % (4000325)Instructions burned: 2480 (million)
% 157.23/22.91 % (4000327)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=550650618:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2885 on theBenchmark for (2885ds/440Mi)
% 157.23/22.91 % (4000301)Instruction limit reached!
% 157.23/22.91 % (4000301)------------------------------
% 157.23/22.91 % (4000301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.23/22.91 % (4000301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.23/22.91 % (4000301)CaDiCaL version: 2.1.3
% 157.23/22.91 % (4000301)Termination reason: Instruction limit
% 157.23/22.91 % (4000301)Termination phase: Saturation
% 157.23/22.91 % (4000301)Time elapsed: 8.532 s
% 157.23/22.91 % (4000301)Peak memory usage: 201 MB
% 157.23/22.91 % (4000301)Instructions burned: 14155 (million)
% 157.23/22.91 % (4000329)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=876007274:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2883 on theBenchmark for (2883ds/11145Mi)
% 157.23/22.91 % (4000327)Instruction limit reached!
% 157.23/22.91 % (4000327)------------------------------
% 157.23/22.91 % (4000327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.23/22.91 % (4000327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.23/22.91 % (4000327)CaDiCaL version: 2.1.3
% 157.23/22.91 % (4000327)Termination reason: Instruction limit
% 157.23/22.91 % (4000327)Termination phase: Saturation
% 157.23/22.91 % (4000327)Time elapsed: 0.235 s
% 157.23/22.91 % (4000327)Peak memory usage: 93 MB
% 157.23/22.91 % (4000327)Instructions burned: 440 (million)
% 157.23/22.91 % (4000331)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2083184381:cts=off:i=3034:av=off:er=known:fsd=on_2881 on theBenchmark for (2881ds/3034Mi)
% 157.23/22.91 % (4000331)Instruction limit reached!
% 157.23/22.91 % (4000331)------------------------------
% 157.23/22.91 % (4000331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.23/22.91 % (4000331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.23/22.91 % (4000331)CaDiCaL version: 2.1.3
% 157.23/22.91 % (4000331)Termination reason: Instruction limit
% 157.23/22.91 % (4000331)Termination phase: Saturation
% 157.23/22.91 % (4000331)Time elapsed: 1.728 s
% 157.23/22.91 % (4000331)Peak memory usage: 146 MB
% 157.23/22.91 % (4000331)Instructions burned: 3035 (million)
% 157.23/22.91 % (4000593)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=3371480521:st=2:s2a=on:i=524:s2at=2:ss=axioms_2862 on theBenchmark for (2862ds/524Mi)
% 157.23/22.91 % (4000321)Instruction limit reached!
% 157.23/22.91 % (4000321)------------------------------
% 157.23/22.91 % (4000321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 157.23/22.91 % (4000321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 157.23/22.91 % (4000321)CaDiCaL version: 2.1.3
% 157.23/22.91 % (4000321)Termination reason: Instruction limit
% 157.23/22.91 % (4000321)Termination phase: Saturation
% 157.23/22.91 % (4000321)Time elapsed: 4.897 s
% 189.31/27.43 % (4000321)Peak memory usage: 222 MB
% 189.31/27.43 % (4000321)Instructions burned: 13914 (million)
% 189.31/27.43 % (4000593)Instruction limit reached!
% 189.31/27.43 % (4000593)------------------------------
% 189.31/27.43 % (4000593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 189.31/27.43 % (4000593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.31/27.43 % (4000593)CaDiCaL version: 2.1.3
% 189.31/27.43 % (4000593)Termination reason: Instruction limit
% 189.31/27.43 % (4000593)Termination phase: Saturation
% 189.31/27.43 % (4000593)Time elapsed: 0.359 s
% 189.31/27.43 % (4000593)Peak memory usage: 97 MB
% 189.31/27.43 % (4000593)Instructions burned: 525 (million)
% 189.31/27.43 % (4000607)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2771739448:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2856 on theBenchmark for (2856ds/1016Mi)
% 189.31/27.43 % (4000608)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=1457086043:i=14123:bd=preordered:ins=4_2856 on theBenchmark for (2856ds/14123Mi)
% 189.31/27.43 % (4000607)Instruction limit reached!
% 189.31/27.43 % (4000607)------------------------------
% 189.31/27.43 % (4000607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 189.31/27.43 % (4000607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.31/27.43 % (4000607)CaDiCaL version: 2.1.3
% 189.31/27.43 % (4000607)Termination reason: Instruction limit
% 189.31/27.43 % (4000607)Termination phase: Saturation
% 189.31/27.43 % (4000607)Time elapsed: 0.471 s
% 189.31/27.43 % (4000607)Peak memory usage: 101 MB
% 189.31/27.43 % (4000607)Instructions burned: 1016 (million)
% 189.31/27.43 % (4000619)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=872159300:i=5781:kws=precedence:bd=all:rawr=on_2849 on theBenchmark for (2849ds/5781Mi)
% 189.31/27.43 % (4000322)Instruction limit reached!
% 189.31/27.43 % (4000322)------------------------------
% 189.31/27.43 % (4000322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 189.31/27.43 % (4000322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.31/27.43 % (4000322)CaDiCaL version: 2.1.3
% 189.31/27.43 % (4000322)Termination reason: Instruction limit
% 189.31/27.43 % (4000322)Termination phase: Saturation
% 189.31/27.43 % (4000322)Time elapsed: 6.141 s
% 189.31/27.43 % (4000322)Peak memory usage: 172 MB
% 189.31/27.43 % (4000322)Instructions burned: 9925 (million)
% 189.31/27.43 % (4000629)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=1632435537:i=2448:gtgl=5:bd=preordered:gtg=all_2842 on theBenchmark for (2842ds/2448Mi)
% 189.31/27.43 % (4000619)Instruction limit reached!
% 189.31/27.43 % (4000619)------------------------------
% 189.31/27.43 % (4000619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 189.31/27.43 % (4000619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.31/27.43 % (4000619)CaDiCaL version: 2.1.3
% 189.31/27.43 % (4000619)Termination reason: Instruction limit
% 189.31/27.43 % (4000619)Termination phase: Saturation
% 189.31/27.43 % (4000619)Time elapsed: 3.110 s
% 189.31/27.43 % (4000619)Peak memory usage: 124 MB
% 189.31/27.43 % (4000619)Instructions burned: 5782 (million)
% 189.31/27.43 % (4000629)Instruction limit reached!
% 189.31/27.43 % (4000629)------------------------------
% 189.31/27.43 % (4000629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 189.31/27.43 % (4000629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 189.31/27.43 % (4000629)CaDiCaL version: 2.1.3
% 189.31/27.43 % (4000629)Termination reason: Instruction limit
% 189.31/27.43 % (4000629)Termination phase: Saturation
% 189.31/27.43 % (4000629)Time elapsed: 2.367 s
% 189.31/27.43 % (4000629)Peak memory usage: 150 MB
% 189.31/27.43 % (4000629)Instructions burned: 2449 (million)
% 189.31/27.43 % (4000641)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=1840349442:i=3223:kws=precedence:fgj=on:av=off_2815 on theBenchmark for (2815ds/3223Mi)
% 189.31/27.43 % (4000642)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=3392739328:st=5.6:i=2033:sd=3:ss=axioms_2815 on theBenchmark for (2815ds/2033Mi)
% 189.31/27.43 % (4000642)Instruction limit reached!
% 189.31/27.43 % (4000642)------------------------------
% 189.31/27.43 % (4000642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 189.31/27.43 % (4000642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 246.01/35.49 % (4000642)CaDiCaL version: 2.1.3
% 246.01/35.49 % (4000642)Termination reason: Instruction limit
% 246.01/35.49 % (4000642)Termination phase: Saturation
% 246.01/35.49 % (4000642)Time elapsed: 1.026 s
% 246.01/35.49 % (4000642)Peak memory usage: 141 MB
% 246.01/35.49 % (4000642)Instructions burned: 2037 (million)
% 246.01/35.49 % (4000648)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2981546625:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2803 on theBenchmark for (2803ds/2055Mi)
% 246.01/35.49 % (4000648)Instruction limit reached!
% 246.01/35.49 % (4000648)------------------------------
% 246.01/35.49 % (4000648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 246.01/35.49 % (4000648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 246.01/35.49 % (4000648)CaDiCaL version: 2.1.3
% 246.01/35.49 % (4000648)Termination reason: Instruction limit
% 246.01/35.49 % (4000648)Termination phase: Saturation
% 246.01/35.49 % (4000648)Time elapsed: 0.706 s
% 246.01/35.49 % (4000648)Peak memory usage: 138 MB
% 246.01/35.49 % (4000648)Instructions burned: 2056 (million)
% 246.01/35.49 % (4000802)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3197411766:i=21611:sd=3:ss=axioms_2794 on theBenchmark for (2794ds/21611Mi)
% 246.01/35.49 % (4000329)Instruction limit reached!
% 246.01/35.49 % (4000329)------------------------------
% 246.01/35.49 % (4000329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 246.01/35.49 % (4000329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 246.01/35.49 % (4000329)CaDiCaL version: 2.1.3
% 246.01/35.49 % (4000329)Termination reason: Instruction limit
% 246.01/35.49 % (4000329)Termination phase: Saturation
% 246.01/35.49 % (4000329)Time elapsed: 9.060 s
% 246.01/35.49 % (4000329)Peak memory usage: 217 MB
% 246.01/35.49 % (4000329)Instructions burned: 11147 (million)
% 246.01/35.49 % (4000641)Instruction limit reached!
% 246.01/35.49 % (4000641)------------------------------
% 246.01/35.49 % (4000641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 246.01/35.49 % (4000641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 246.01/35.49 % (4000641)CaDiCaL version: 2.1.3
% 246.01/35.49 % (4000641)Termination reason: Instruction limit
% 246.01/35.49 % (4000641)Termination phase: Saturation
% 246.01/35.49 % (4000641)Time elapsed: 2.330 s
% 246.01/35.49 % (4000641)Peak memory usage: 152 MB
% 246.01/35.49 % (4000641)Instructions burned: 3223 (million)
% 246.01/35.49 % (4000804)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=168914521:i=4835:sd=13:ss=axioms:sgt=23_2791 on theBenchmark for (2791ds/4835Mi)
% 246.01/35.49 % (4000805)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=3456910200:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2790 on theBenchmark for (2790ds/797Mi)
% 246.01/35.49 % (4000805)Instruction limit reached!
% 246.01/35.49 % (4000805)------------------------------
% 246.01/35.49 % (4000805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 246.01/35.49 % (4000805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 246.01/35.49 % (4000805)CaDiCaL version: 2.1.3
% 246.01/35.49 % (4000805)Termination reason: Instruction limit
% 246.01/35.49 % (4000805)Termination phase: Saturation
% 246.01/35.49 % (4000805)Time elapsed: 0.468 s
% 246.01/35.49 % (4000805)Peak memory usage: 95 MB
% 246.01/35.49 % (4000805)Instructions burned: 798 (million)
% 246.01/35.49 % (4000808)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1033476016:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2784 on theBenchmark for (2784ds/2326Mi)
% 246.01/35.49 % (4000808)Refutation not found, incomplete strategy
% 246.01/35.49 % (4000808)------------------------------
% 246.01/35.49 % (4000808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 246.01/35.49 % (4000808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 246.01/35.49 % (4000808)CaDiCaL version: 2.1.3
% 246.01/35.49 % (4000808)Termination reason: Refutation not found, incomplete strategy
% 246.01/35.49 % (4000808)Time elapsed: 0.102 s
% 246.01/35.49 % (4000808)Peak memory usage: 93 MB
% 246.01/35.49 % (4000808)Instructions burned: 179 (million)
% 246.01/35.49 % (4000808)------------------------------
% 246.01/35.49 % (4000808)------------------------------
% 246.01/35.49 % (4000810)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=195232925:i=6038:nm=6_2779 on theBenchmark for (2779ds/6038Mi)
% 126.06/36.30 % (4000804)Instruction limit reached!
% 126.06/36.30 % (4000804)------------------------------
% 126.06/36.30 % (4000804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000804)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000804)Termination reason: Instruction limit
% 126.06/36.30 % (4000804)Termination phase: Saturation
% 126.06/36.30 % (4000804)Time elapsed: 2.620 s
% 126.06/36.30 % (4000804)Peak memory usage: 113 MB
% 126.06/36.30 % (4000804)Instructions burned: 4836 (million)
% 126.06/36.30 % (4000812)lrs+10_1_sil=32000:sp=occurrence:random_seed=2835770867:st=2:i=33334:sd=3:ss=included:sgt=32_2763 on theBenchmark for (2763ds/33334Mi)
% 126.06/36.30 % (4000608)Instruction limit reached!
% 126.06/36.30 % (4000608)------------------------------
% 126.06/36.30 % (4000608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000608)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000608)Termination reason: Instruction limit
% 126.06/36.30 % (4000608)Termination phase: Saturation
% 126.06/36.30 % (4000608)Time elapsed: 9.909 s
% 126.06/36.30 % (4000608)Peak memory usage: 205 MB
% 126.06/36.30 % (4000608)Instructions burned: 14124 (million)
% 126.06/36.30 % (4000814)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1771731043:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2754 on theBenchmark for (2754ds/1008Mi)
% 126.06/36.30 % (4000810)Instruction limit reached!
% 126.06/36.30 % (4000810)------------------------------
% 126.06/36.30 % (4000810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000810)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000810)Termination reason: Instruction limit
% 126.06/36.30 % (4000810)Termination phase: Saturation
% 126.06/36.30 % (4000810)Time elapsed: 2.837 s
% 126.06/36.30 % (4000810)Peak memory usage: 155 MB
% 126.06/36.30 % (4000810)Instructions burned: 6038 (million)
% 126.06/36.30 % (4000816)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=30979547:i=8327:s2at=5:bd=preordered_2749 on theBenchmark for (2749ds/8327Mi)
% 126.06/36.30 % (4000814)Instruction limit reached!
% 126.06/36.30 % (4000814)------------------------------
% 126.06/36.30 % (4000814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000814)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000814)Termination reason: Instruction limit
% 126.06/36.30 % (4000814)Termination phase: Saturation
% 126.06/36.30 % (4000814)Time elapsed: 0.528 s
% 126.06/36.30 % (4000814)Peak memory usage: 97 MB
% 126.06/36.30 % (4000814)Instructions burned: 1008 (million)
% 126.06/36.30 % (4000818)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=743065011:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2747 on theBenchmark for (2747ds/1083Mi)
% 126.06/36.30 % (4000818)Instruction limit reached!
% 126.06/36.30 % (4000818)------------------------------
% 126.06/36.30 % (4000818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000818)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000818)Termination reason: Instruction limit
% 126.06/36.30 % (4000818)Termination phase: Saturation
% 126.06/36.30 % (4000818)Time elapsed: 0.478 s
% 126.06/36.30 % (4000818)Peak memory usage: 99 MB
% 126.06/36.30 % (4000818)Instructions burned: 1084 (million)
% 126.06/36.30 % (4000820)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=2054581568:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2740 on theBenchmark for (2740ds/1084Mi)
% 126.06/36.30 % (4000820)Instruction limit reached!
% 126.06/36.30 % (4000820)------------------------------
% 126.06/36.30 % (4000820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000820)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000820)Termination reason: Instruction limit
% 126.06/36.30 % (4000820)Termination phase: Saturation
% 126.06/36.30 % (4000820)Time elapsed: 0.640 s
% 126.06/36.30 % (4000820)Peak memory usage: 98 MB
% 126.06/36.30 % (4000820)Instructions burned: 1084 (million)
% 126.06/36.30 % (4000802)Instruction limit reached!
% 126.06/36.30 % (4000802)------------------------------
% 126.06/36.30 % (4000802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000802)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000802)Termination reason: Instruction limit
% 126.06/36.30 % (4000802)Termination phase: Saturation
% 126.06/36.30 % (4000802)Time elapsed: 6.140 s
% 126.06/36.30 % (4000802)Peak memory usage: 305 MB
% 126.06/36.30 % (4000802)Instructions burned: 21613 (million)
% 126.06/36.30 % (4000822)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=2014834274:i=6995:s2at=5:gtg=all_2732 on theBenchmark for (2732ds/6995Mi)
% 126.06/36.30 % (4000823)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1069936209:st=2:i=6225:sd=15:ss=axioms_2731 on theBenchmark for (2731ds/6225Mi)
% 126.06/36.30 % (4000823)Instruction limit reached!
% 126.06/36.30 % (4000823)------------------------------
% 126.06/36.30 % (4000823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000823)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000823)Termination reason: Instruction limit
% 126.06/36.30 % (4000823)Termination phase: Saturation
% 126.06/36.30 % (4000823)Time elapsed: 1.482 s
% 126.06/36.30 % (4000823)Peak memory usage: 118 MB
% 126.06/36.30 % (4000823)Instructions burned: 6230 (million)
% 126.06/36.30 % (4001041)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=4175313770:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2715 on theBenchmark for (2715ds/3372Mi)
% 126.06/36.30 % (4001041)Instruction limit reached!
% 126.06/36.30 % (4001041)------------------------------
% 126.06/36.30 % (4001041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4001041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4001041)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4001041)Termination reason: Instruction limit
% 126.06/36.30 % (4001041)Termination phase: Saturation
% 126.06/36.30 % (4001041)Time elapsed: 1.683 s
% 126.06/36.30 % (4001041)Peak memory usage: 149 MB
% 126.06/36.30 % (4001041)Instructions burned: 3373 (million)
% 126.06/36.30 % (4001098)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=3968529356:st=2.3:i=26457:sd=10:ss=included:sgt=8_2697 on theBenchmark for (2697ds/26457Mi)
% 126.06/36.30 % (4000816)Instruction limit reached!
% 126.06/36.30 % (4000816)------------------------------
% 126.06/36.30 % (4000816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000816)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000816)Termination reason: Instruction limit
% 126.06/36.30 % (4000816)Termination phase: Saturation
% 126.06/36.30 % (4000816)Time elapsed: 5.910 s
% 126.06/36.30 % (4000816)Peak memory usage: 182 MB
% 126.06/36.30 % (4000816)Instructions burned: 8327 (million)
% 126.06/36.30 % (4001114)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=2021021181:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2688 on theBenchmark for (2688ds/13494Mi)
% 126.06/36.30 % (4000822)Instruction limit reached!
% 126.06/36.30 % (4000822)------------------------------
% 126.06/36.30 % (4000822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4000822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4000822)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4000822)Termination reason: Instruction limit
% 126.06/36.30 % (4000822)Termination phase: Saturation
% 126.06/36.30 % (4000822)Time elapsed: 5.072 s
% 126.06/36.30 % (4000822)Peak memory usage: 187 MB
% 126.06/36.30 % (4000822)Instructions burned: 6995 (million)
% 126.06/36.30 % (4001121)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=3602411942:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2680 on theBenchmark for (2680ds/2503Mi)
% 126.06/36.30 % (4001121)Instruction limit reached!
% 126.06/36.30 % (4001121)------------------------------
% 126.06/36.30 % (4001121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 126.06/36.30 % (4001121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.06/36.30 % (4001121)CaDiCaL version: 2.1.3
% 126.06/36.30 % (4001121)Termination reason: Instruction limit
% 126.06/36.30 % (4001121)Termination phase: Saturation
% 126.06/36.30 % (4001121)Time elapsed: 2.493 s
% 126.06/36.30 % (4001121)Peak memory usage: 146 MB
% 126.06/36.30 % (4001121)Instructions burned: 2504 (million)
% 126.06/36.30 % (4001139)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=2734681251:i=2559:sd=1:ep=RSTC:ss=axioms_2651 on theBenchmark for (2651ds/2559Mi)
% 126.06/36.30 % (4001114)First to succeed.
% 126.06/36.30 % (4001114)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4000240"
% 126.06/36.30 % (4001114)Refutation found. Thanks to Tanya!
% 126.06/36.30 % SZS status Theorem for theBenchmark
% 126.06/36.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/36.51 % (4001114)------------------------------
% 0.20/36.51 % (4001114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/36.51 % (4001114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/36.51 % (4001114)CaDiCaL version: 2.1.3
% 0.20/36.51 % (4001114)Termination reason: Refutation
% 0.20/36.51 % (4001114)Time elapsed: 3.773 s
% 0.20/36.51 % (4001114)Peak memory usage: 160 MB
% 0.20/36.51 % (4001114)Instructions burned: 3960 (million)
% 0.20/36.51 % (4001114)------------------------------
% 0.20/36.51 % (4001114)------------------------------
% 0.20/36.51 % (4000240)Success in time 35.606 s
% 0.20/36.51 % Vampire exiting
%------------------------------------------------------------------------------