%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW183+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 : n001.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 01:29:47 PM UTC 2026
% Result : Theorem 129.56s 29.58s
% Output : Refutation 204.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 137 ( 80 unt; 0 def)
% Number of atoms : 194 ( 122 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 101 ( 44 ~; 40 |; 0 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 323 ( 323 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,hAPP(c_Polynomial_Opoly(X3,X2),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__add) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( class_Groups_Ocomm__monoid__add(X4)
=> c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_OpCons(X4,X3,X2),c_Polynomial_OpCons(X4,X1,X0)) = c_Polynomial_OpCons(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),X2,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__pCons) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( class_Groups_Oab__semigroup__add(X3)
=> c_Groups_Oplus__class_Oplus(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ab__semigroup__add__class_Oadd__ac_I1_J) ).
fof(f19,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__pCons) ).
fof(f20,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Polynomial_OpCons(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__pCons) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Opcompose(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__pcompose) ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__smult) ).
fof(f68,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__mult) ).
fof(f70,axiom,
! [X0] :
( class_Groups_Ozero(X0)
=> c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons__0__0) ).
fof(f71,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__0) ).
fof(f82,axiom,
! [X0,X1] :
( class_Groups_Ocomm__monoid__add(X1)
=> c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0) ).
fof(f86,axiom,
! [X0,X1] :
( class_Groups_Ocomm__monoid__add(X1)
=> c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add_Ocomm__neutral) ).
fof(f98,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),c_Groups_Oplus__class_Oplus(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__class_Odistrib) ).
fof(f997,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Oab__semigroup__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Oab__semigroup__add) ).
fof(f998,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add) ).
fof(f999,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Rings_Ocomm__semiring(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Rings_Ocomm__semiring) ).
fof(f1004,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__0(X0)
=> class_Groups_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Ozero) ).
fof(f1171,axiom,
hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),v_x) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1172,conjecture,
hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h)),v_x) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1173,negated_conjecture,
hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h)),v_x) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(negated_conjecture,[status(cth)],[f1172]) ).
fof(f1174,axiom,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
fof(f1177,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h)),v_x) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(flattening,[],[f1173]) ).
fof(f1179,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,hAPP(c_Polynomial_Opoly(X3,X2),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f2]) ).
fof(f1180,plain,
! [X0,X1,X2,X3,X4] :
( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_OpCons(X4,X3,X2),c_Polynomial_OpCons(X4,X1,X0)) = c_Polynomial_OpCons(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),X2,X0))
| ~ class_Groups_Ocomm__monoid__add(X4) ),
inference(ennf_transformation,[],[f3]) ).
fof(f1188,plain,
! [X0,X1,X2,X3] :
( c_Groups_Oplus__class_Oplus(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Groups_Oab__semigroup__add(X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f1200,plain,
! [X0,X1,X2,X3] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f1201,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_OpCons(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0)))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f1202,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Opcompose(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),hAPP(c_Polynomial_Opoly(X3,X1),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f21]) ).
fof(f1253,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(c_Polynomial_Opoly(X3,X1),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f67]) ).
fof(f1254,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f68]) ).
fof(f1256,plain,
! [X0] :
( c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))
| ~ class_Groups_Ozero(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f1257,plain,
! [X0,X1] :
( hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) = c_Groups_Ozero__class_Ozero(X1)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f1268,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0
| ~ class_Groups_Ocomm__monoid__add(X1) ),
inference(ennf_transformation,[],[f82]) ).
fof(f1272,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0
| ~ class_Groups_Ocomm__monoid__add(X1) ),
inference(ennf_transformation,[],[f86]) ).
fof(f1285,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),c_Groups_Oplus__class_Oplus(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0))
| ~ class_Rings_Ocomm__semiring(X3) ),
inference(ennf_transformation,[],[f98]) ).
fof(f2365,plain,
! [X0] :
( class_Groups_Oab__semigroup__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f997]) ).
fof(f2366,plain,
! [X0] :
( class_Groups_Ocomm__monoid__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f998]) ).
fof(f2367,plain,
! [X0] :
( class_Rings_Ocomm__semiring(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f999]) ).
fof(f2372,plain,
! [X0] :
( class_Groups_Ozero(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(ennf_transformation,[],[f1004]) ).
fof(f2785,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(c_Polynomial_Opoly(X3,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,hAPP(c_Polynomial_Opoly(X3,X2),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
inference(cnf_transformation,[],[f1179]) ).
fof(f2786,plain,
! [X2,X3,X0,X1,X4] :
( ~ class_Groups_Ocomm__monoid__add(X4)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),c_Polynomial_OpCons(X4,X3,X2),c_Polynomial_OpCons(X4,X1,X0)) = c_Polynomial_OpCons(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4),X2,X0)) ),
inference(cnf_transformation,[],[f1180]) ).
fof(f2796,plain,
! [X2,X3,X0,X1] :
( ~ class_Groups_Oab__semigroup__add(X3)
| c_Groups_Oplus__class_Oplus(X3,X2,c_Groups_Oplus__class_Oplus(X3,X1,X0)) = c_Groups_Oplus__class_Oplus(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),X0) ),
inference(cnf_transformation,[],[f1188]) ).
fof(f2807,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,c_Polynomial_OpCons(X3,X2,X1),X0) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3),c_Polynomial_Osmult(X3,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0)),c_Polynomial_OpCons(X3,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X0))) ),
inference(cnf_transformation,[],[f1200]) ).
fof(f2808,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(c_Polynomial_Opoly(X3,c_Polynomial_OpCons(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X0),hAPP(c_Polynomial_Opoly(X3,X1),X0))) ),
inference(cnf_transformation,[],[f1201]) ).
fof(f2809,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Opcompose(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
inference(cnf_transformation,[],[f1202]) ).
fof(f2864,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(c_Polynomial_Opoly(X3,c_Polynomial_Osmult(X3,X2,X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
inference(cnf_transformation,[],[f1253]) ).
fof(f2865,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X3)
| hAPP(c_Polynomial_Opoly(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3)),X2),X1)),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(c_Polynomial_Opoly(X3,X2),X0)),hAPP(c_Polynomial_Opoly(X3,X1),X0)) ),
inference(cnf_transformation,[],[f1254]) ).
fof(f2869,plain,
! [X0] :
( ~ class_Groups_Ozero(X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
inference(cnf_transformation,[],[f1256]) ).
fof(f2870,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X1)
| c_Groups_Ozero__class_Ozero(X1) = hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X0) ),
inference(cnf_transformation,[],[f1257]) ).
fof(f2885,plain,
! [X0,X1] :
( ~ class_Groups_Ocomm__monoid__add(X1)
| c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X0) = X0 ),
inference(cnf_transformation,[],[f1268]) ).
fof(f2890,plain,
! [X0,X1] :
( ~ class_Groups_Ocomm__monoid__add(X1)
| c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
inference(cnf_transformation,[],[f1272]) ).
fof(f2908,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring(X3)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),c_Groups_Oplus__class_Oplus(X3,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X0),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X0)) ),
inference(cnf_transformation,[],[f1285]) ).
fof(f4209,plain,
! [X0] :
( class_Groups_Oab__semigroup__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2365]) ).
fof(f4210,plain,
! [X0] :
( class_Groups_Ocomm__monoid__add(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2366]) ).
fof(f4211,plain,
! [X0] :
( class_Rings_Ocomm__semiring(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2367]) ).
fof(f4216,plain,
! [X0] :
( class_Groups_Ozero(X0)
| ~ class_Rings_Ocomm__semiring__0(X0) ),
inference(cnf_transformation,[],[f2372]) ).
fof(f4383,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),v_x) = hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(cnf_transformation,[],[f1171]) ).
fof(f4384,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p),v_h)),v_x) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(cnf_transformation,[],[f1177]) ).
fof(f4385,plain,
class_Rings_Ocomm__semiring__0(t_a),
inference(cnf_transformation,[],[f1174]) ).
fof(f4776,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X1)),X2) = c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X2),hAPP(c_Polynomial_Opoly(t_a,X1),X2))),
inference(resolution,[],[f2808,f4385]) ).
fof(f4777,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x),hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)))),
inference(superposition,[],[f4776,f4383]) ).
fof(f4778,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X0),hAPP(c_Polynomial_Opoly(t_a,X1),X2)),
inference(resolution,[],[f2864,f4385]) ).
fof(f4779,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X0),hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x))),
inference(superposition,[],[f4778,f4383]) ).
fof(f4780,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(t_a,X2,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,X1)),X0)),
inference(superposition,[],[f4776,f4778]) ).
fof(f4781,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,v_x,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x))),
inference(superposition,[],[f4777,f4778]) ).
fof(f4782,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(forward_demodulation,[],[f4779,f4778]) ).
fof(f4783,plain,
! [X2,X0,X1] : c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,X1),X2) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2)),c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,X1,X2))),
inference(resolution,[],[f2807,f4385]) ).
fof(f4789,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X0),X1)),X2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(c_Polynomial_Opoly(t_a,X0),X2)),hAPP(c_Polynomial_Opoly(t_a,X1),X2)),
inference(resolution,[],[f2865,f4385]) ).
fof(f4790,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X0),X1)),X2) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,hAPP(c_Polynomial_Opoly(t_a,X0),X2),X1)),X2),
inference(forward_demodulation,[],[f4789,f4778]) ).
fof(f4833,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,X0,X1)),X2) = hAPP(c_Polynomial_Opoly(t_a,X0),hAPP(c_Polynomial_Opoly(t_a,X1),X2)),
inference(resolution,[],[f2809,f4385]) ).
fof(f4879,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oplus__class_Oplus(X0,X2,X3)) = c_Groups_Oplus__class_Oplus(X0,c_Groups_Oplus__class_Oplus(X0,X1,X2),X3) ),
inference(resolution,[],[f4209,f2796]) ).
fof(f4880,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(t_a,X0,c_Groups_Oplus__class_Oplus(t_a,X1,X2)) = c_Groups_Oplus__class_Oplus(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X1),X2),
inference(resolution,[],[f4879,f4385]) ).
fof(f4892,plain,
! [X2,X3,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X1),X3)),X2) = c_Groups_Oplus__class_Oplus(t_a,X0,c_Groups_Oplus__class_Oplus(t_a,X1,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X2,X3)),X2))),
inference(superposition,[],[f4780,f4880]) ).
fof(f4893,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X1),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = c_Groups_Oplus__class_Oplus(t_a,X0,c_Groups_Oplus__class_Oplus(t_a,X1,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,v_x,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)))),
inference(superposition,[],[f4781,f4880]) ).
fof(f4894,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X1),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x)),
inference(forward_demodulation,[],[f4893,f4781]) ).
fof(f4895,plain,
! [X2,X3,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X1),X3)),X2) = c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X1,X3)),X2)),
inference(forward_demodulation,[],[f4892,f4780]) ).
fof(f4922,plain,
! [X2,X3,X0,X1,X4] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),c_Polynomial_OpCons(X0,X1,X2),c_Polynomial_OpCons(X0,X3,X4)) = c_Polynomial_OpCons(X0,c_Groups_Oplus__class_Oplus(X0,X1,X3),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X0),X2,X4)) ),
inference(resolution,[],[f2786,f4210]) ).
fof(f4923,plain,
! [X2,X3,X0,X1] : c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_OpCons(t_a,X0,X1),c_Polynomial_OpCons(t_a,X2,X3)) = c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X2),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X1,X3)),
inference(resolution,[],[f4922,f4385]) ).
fof(f4980,plain,
! [X0] : c_Groups_Ozero__class_Ozero(t_a) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X0),
inference(resolution,[],[f2870,f4385]) ).
fof(f4985,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X0),c_Groups_Ozero__class_Ozero(t_a)),
inference(superposition,[],[f4778,f4980]) ).
fof(f4986,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X1) = c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X1),c_Groups_Ozero__class_Ozero(t_a))),
inference(superposition,[],[f4776,f4980]) ).
fof(f4987,plain,
! [X0,X1] : c_Groups_Ozero__class_Ozero(t_a) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X0)),X1),
inference(superposition,[],[f4833,f4980]) ).
fof(f5110,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,X1)),X2) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,X0),X2),hAPP(c_Polynomial_Opoly(t_a,X1),X2)),
inference(resolution,[],[f2785,f4385]) ).
fof(f5118,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h),X0)),v_x) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),hAPP(c_Polynomial_Opoly(t_a,X0),v_x)),
inference(superposition,[],[f5110,f4383]) ).
fof(f5142,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,X0),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Polynomial_Osmult(t_a,v_x,v_p))),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(superposition,[],[f4781,f5110]) ).
fof(f5144,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,X0),v_x),X1),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Polynomial_OpCons(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))),v_x),
inference(superposition,[],[f4894,f5110]) ).
fof(f5381,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Groups_Oplus__class_Oplus(X0,c_Groups_Ozero__class_Ozero(X0),X1) = X1 ),
inference(resolution,[],[f2885,f4210]) ).
fof(f5382,plain,
! [X0] : c_Groups_Oplus__class_Oplus(t_a,c_Groups_Ozero__class_Ozero(t_a),X0) = X0,
inference(resolution,[],[f5381,f4385]) ).
fof(f5393,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,X1)),X0) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Ozero__class_Ozero(t_a),X1)),X0),
inference(superposition,[],[f4780,f5382]) ).
fof(f5471,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Ozero__class_Ozero(X0)) = X1 ),
inference(resolution,[],[f2890,f4210]) ).
fof(f5472,plain,
! [X0] : c_Groups_Oplus__class_Oplus(t_a,X0,c_Groups_Ozero__class_Ozero(t_a)) = X0,
inference(resolution,[],[f5471,f4385]) ).
fof(f5479,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),c_Groups_Oplus__class_Oplus(X0,X1,X2)),X3) = c_Groups_Oplus__class_Oplus(X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X2),X3)) ),
inference(resolution,[],[f2908,f4211]) ).
fof(f5480,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Oplus__class_Oplus(t_a,X0,X1)),X2) = c_Groups_Oplus__class_Oplus(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X0),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X1),X2)),
inference(resolution,[],[f5479,f4385]) ).
fof(f5487,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X0),hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x))),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),c_Groups_Oplus__class_Oplus(t_a,X0,v_x)),hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x))),
inference(superposition,[],[f4777,f5480]) ).
fof(f5491,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X0),hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x))),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,v_x),v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(forward_demodulation,[],[f5487,f4778]) ).
fof(f5497,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,v_x),v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x),
inference(forward_demodulation,[],[f5491,f4778]) ).
fof(f5503,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,v_x),v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,v_p),c_Polynomial_Osmult(t_a,v_x,v_p))),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(forward_demodulation,[],[f5497,f5142]) ).
fof(f5594,plain,
! [X0] :
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(X0,c_Groups_Ozero__class_Ozero(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
inference(resolution,[],[f2869,f4216]) ).
fof(f5595,plain,
c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) = c_Polynomial_OpCons(t_a,c_Groups_Ozero__class_Ozero(t_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),
inference(resolution,[],[f5594,f4385]) ).
fof(f5599,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X1) = c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))),X1)),
inference(superposition,[],[f4895,f5595]) ).
fof(f5606,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(t_a,X0,c_Groups_Ozero__class_Ozero(t_a)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,c_Groups_Ozero__class_Ozero(t_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X1),
inference(forward_demodulation,[],[f5599,f4980]) ).
fof(f5608,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X1) = X0,
inference(forward_demodulation,[],[f5606,f5472]) ).
fof(f6001,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1))),X2) = c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X2),c_Groups_Ozero__class_Ozero(t_a))),
inference(superposition,[],[f4776,f4987]) ).
fof(f6002,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X0),c_Groups_Ozero__class_Ozero(t_a)) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1))),X2),
inference(superposition,[],[f4778,f4987]) ).
fof(f6008,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,X0),X2),c_Groups_Ozero__class_Ozero(t_a)) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1))),X2),
inference(superposition,[],[f5110,f4987]) ).
fof(f6026,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,X0),X2) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1))),X2),
inference(forward_demodulation,[],[f6008,f5472]) ).
fof(f6028,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X2) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1))),X2),
inference(forward_demodulation,[],[f6001,f4986]) ).
fof(f6030,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1))),X2) = X0,
inference(forward_demodulation,[],[f6028,f5608]) ).
fof(f6214,plain,
! [X2,X3,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X1,c_Polynomial_OpCons(t_a,X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X2)))),X3) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,X1),X3),X0),
inference(superposition,[],[f5110,f6030]) ).
fof(f6766,plain,
! [X0,X1] : c_Groups_Ozero__class_Ozero(t_a) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X1))),X0),
inference(superposition,[],[f6030,f5393]) ).
fof(f6796,plain,
! [X0] : c_Groups_Ozero__class_Ozero(t_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X0),c_Groups_Ozero__class_Ozero(t_a)),
inference(forward_demodulation,[],[f6766,f6002]) ).
fof(f7058,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X1) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),hAPP(c_Polynomial_Opoly(t_a,X0),X1)),c_Groups_Ozero__class_Ozero(t_a)),
inference(superposition,[],[f4790,f4985]) ).
fof(f7101,plain,
! [X0,X1] : c_Groups_Ozero__class_Ozero(t_a) = hAPP(c_Polynomial_Opoly(t_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X1),
inference(forward_demodulation,[],[f7058,f6796]) ).
fof(f7132,plain,
! [X2,X0,X1] : c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X2),c_Groups_Ozero__class_Ozero(t_a))) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),X2),
inference(superposition,[],[f4776,f7101]) ).
fof(f7151,plain,
! [X0] : c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),c_Groups_Ozero__class_Ozero(t_a)) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),v_x),
inference(superposition,[],[f5118,f7101]) ).
fof(f7155,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),v_x),
inference(forward_demodulation,[],[f7151,f5472]) ).
fof(f7165,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))),X2) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),X2),
inference(forward_demodulation,[],[f7132,f4986]) ).
fof(f7172,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))))),X2) = X0,
inference(forward_demodulation,[],[f7165,f5608]) ).
fof(f7250,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),v_x),hAPP(c_Polynomial_Opoly(t_a,v_p),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)))) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),v_x),
inference(superposition,[],[f4776,f7155]) ).
fof(f7267,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),v_x),
inference(forward_demodulation,[],[f7250,f4777]) ).
fof(f7413,plain,
! [X2,X3,X0,X1] : c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,X1),X3),X0) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X1,c_Polynomial_OpCons(t_a,X0,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),X3),
inference(superposition,[],[f5110,f7172]) ).
fof(f7509,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X1),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(t_a)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)))))),v_x),
inference(superposition,[],[f7267,f4923]) ).
fof(f7546,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x),X1) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X1),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x),
inference(forward_demodulation,[],[f7509,f7413]) ).
fof(f7555,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,X0),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),X1),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Polynomial_Osmult(t_a,v_x,v_p))),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),X1),
inference(superposition,[],[f7546,f5142]) ).
fof(f20027,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))),v_x) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),X1),c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))),v_x),
inference(superposition,[],[f5144,f4782]) ).
fof(f20186,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))),v_x) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,v_p),c_Polynomial_Osmult(t_a,v_x,v_p))),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),X1),
inference(forward_demodulation,[],[f20027,f7555]) ).
fof(f20376,plain,
! [X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)))),v_x) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,v_x),v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),X1),
inference(forward_demodulation,[],[f20186,f5503]) ).
fof(f23575,plain,
! [X2,X3,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X2,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X3)))),X1) = c_Groups_Oplus__class_Oplus(t_a,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(t_a),X1),hAPP(c_Polynomial_Opoly(t_a,X0),X1))),
inference(superposition,[],[f4776,f6026]) ).
fof(f23654,plain,
! [X2,X3,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X2,X0)),X1) = hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X2,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),X0,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X3)))),X1),
inference(forward_demodulation,[],[f23575,f4776]) ).
fof(f23684,plain,
! [X2,X3,X0,X1,X4] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X2),X1)),X4) = hAPP(c_Polynomial_Opoly(t_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_OpCons(t_a,X0,X1),c_Polynomial_OpCons(t_a,X2,c_Polynomial_Opcompose(t_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),X3)))),X4),
inference(superposition,[],[f23654,f4923]) ).
fof(f23767,plain,
! [X2,X0,X1,X4] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,X0,X2),X1)),X4) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,X1)),X4),X2),
inference(forward_demodulation,[],[f23684,f6214]) ).
fof(f23789,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,c_Groups_Oplus__class_Oplus(t_a,c_Groups_Ozero__class_Ozero(t_a),X2),X1)),X0) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,X1)),X0),X2),
inference(superposition,[],[f23767,f5393]) ).
fof(f24009,plain,
! [X2,X0,X1] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X2,X1)),X0) = c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,X0,X1)),X0),X2),
inference(forward_demodulation,[],[f23789,f5382]) ).
fof(f276786,plain,
! [X0] : c_Groups_Oplus__class_Oplus(t_a,hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_Osmult(t_a,c_Groups_Oplus__class_Oplus(t_a,v_h,v_x),v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),X0) = hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,v_p),v_h)),v_x),
inference(superposition,[],[f20376,f4783]) ).
fof(f276915,plain,
! [X0] : hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,X0,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)) = hAPP(c_Polynomial_Opoly(t_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,c_Polynomial_OpCons(t_a,X0,v_p),v_h)),v_x),
inference(forward_demodulation,[],[f276786,f24009]) ).
fof(f277025,plain,
hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)) != hAPP(c_Polynomial_Opoly(t_a,c_Polynomial_OpCons(t_a,v_a,v_p)),c_Groups_Oplus__class_Oplus(t_a,v_h,v_x)),
inference(superposition,[],[f4384,f276915]) ).
fof(f277102,plain,
$false,
inference(trivial_inequality_removal,[],[f277025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW183+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n001.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 13:18:33 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 13.30/2.66 % (346741)Detected formulas, will run a generic FOF schedule.
% 13.30/2.66 % (346748)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=1841495181:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.30/2.66 % (346751)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3217721923:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.30/2.66 % (346749)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3718559609:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.30/2.66 % (346750)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3169576115:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.30/2.66 % (346747)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=2855979006:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.30/2.66 % (346746)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=2164998997:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.30/2.66 % (346752)dis-21_1_sil=8000:lcm=predicate:random_seed=148298077: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)
% 13.30/2.66 % (346749)Instruction limit reached!
% 13.30/2.66 % (346749)------------------------------
% 13.30/2.66 % (346749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.66 % (346749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.66 % (346749)CaDiCaL version: 2.1.3
% 13.30/2.66 % (346749)Termination reason: Instruction limit
% 13.30/2.66 % (346749)Termination phase: Saturation
% 13.30/2.66 % (346749)Time elapsed: 0.058 s
% 13.30/2.66 % (346749)Peak memory usage: 90 MB
% 13.30/2.66 % (346749)Instructions burned: 110 (million)
% 13.30/2.66 % (346750)Instruction limit reached!
% 13.30/2.66 % (346750)------------------------------
% 13.30/2.66 % (346750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.66 % (346750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.66 % (346750)CaDiCaL version: 2.1.3
% 13.30/2.66 % (346750)Termination reason: Instruction limit
% 13.30/2.66 % (346750)Termination phase: Saturation
% 13.30/2.66 % (346750)Time elapsed: 0.071 s
% 13.30/2.66 % (346750)Peak memory usage: 89 MB
% 13.30/2.66 % (346750)Instructions burned: 119 (million)
% 13.30/2.66 % (346751)Instruction limit reached!
% 13.30/2.66 % (346751)------------------------------
% 13.30/2.66 % (346751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.66 % (346751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.66 % (346751)CaDiCaL version: 2.1.3
% 13.30/2.66 % (346751)Termination reason: Instruction limit
% 13.30/2.66 % (346751)Termination phase: Saturation
% 13.30/2.66 % (346751)Time elapsed: 0.081 s
% 13.30/2.66 % (346751)Peak memory usage: 91 MB
% 13.30/2.66 % (346751)Instructions burned: 140 (million)
% 13.30/2.66 % (346752)Instruction limit reached!
% 13.30/2.66 % (346752)------------------------------
% 13.30/2.66 % (346752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.30/2.66 % (346752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.30/2.66 % (346752)CaDiCaL version: 2.1.3
% 13.30/2.66 % (346752)Termination reason: Instruction limit
% 13.30/2.66 % (346752)Termination phase: Saturation
% 13.30/2.66 % (346752)Time elapsed: 0.069 s
% 13.30/2.66 % (346752)Peak memory usage: 91 MB
% 13.30/2.66 % (346752)Instructions burned: 130 (million)
% 13.30/2.66 % (346760)lrs+10_1_sil=8000:sp=occurrence:random_seed=467286831:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.30/2.66 % (346762)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3369182960:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.30/2.66 % (346761)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2794429053:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.30/2.66 % (346763)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=850691954:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 13.30/2.66 % (346761)Instruction limit reached!
% 13.30/2.66 % (346761)------------------------------
% 13.30/2.66 % (346761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/3.63 % (346761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/3.63 % (346761)CaDiCaL version: 2.1.3
% 20.40/3.63 % (346761)Termination reason: Instruction limit
% 20.40/3.63 % (346761)Termination phase: Saturation
% 20.40/3.63 % (346761)Time elapsed: 0.086 s
% 20.40/3.63 % (346761)Peak memory usage: 90 MB
% 20.40/3.63 % (346761)Instructions burned: 158 (million)
% 20.40/3.63 % (346763)Instruction limit reached!
% 20.40/3.63 % (346763)------------------------------
% 20.40/3.63 % (346763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/3.63 % (346763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/3.63 % (346763)CaDiCaL version: 2.1.3
% 20.40/3.63 % (346763)Termination reason: Instruction limit
% 20.40/3.63 % (346763)Termination phase: Saturation
% 20.40/3.63 % (346763)Time elapsed: 0.133 s
% 20.40/3.63 % (346763)Peak memory usage: 92 MB
% 20.40/3.63 % (346763)Instructions burned: 249 (million)
% 20.40/3.63 % (346760)Instruction limit reached!
% 20.40/3.63 % (346760)------------------------------
% 20.40/3.63 % (346760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/3.63 % (346760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/3.63 % (346760)CaDiCaL version: 2.1.3
% 20.40/3.63 % (346760)Termination reason: Instruction limit
% 20.40/3.63 % (346760)Termination phase: Saturation
% 20.40/3.63 % (346760)Time elapsed: 0.184 s
% 20.40/3.63 % (346760)Peak memory usage: 92 MB
% 20.40/3.63 % (346760)Instructions burned: 286 (million)
% 20.40/3.63 % (346762)Instruction limit reached!
% 20.40/3.63 % (346762)------------------------------
% 20.40/3.63 % (346762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/3.63 % (346762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/3.63 % (346762)CaDiCaL version: 2.1.3
% 20.40/3.63 % (346762)Termination reason: Instruction limit
% 20.40/3.63 % (346762)Termination phase: Saturation
% 20.40/3.63 % (346762)Time elapsed: 0.187 s
% 20.40/3.63 % (346762)Peak memory usage: 91 MB
% 20.40/3.63 % (346762)Instructions burned: 326 (million)
% 20.40/3.63 % (346768)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3113448438:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 20.40/3.63 % (346769)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3026933518:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 20.40/3.63 % (346770)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2753997701:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 20.40/3.63 % (346771)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3824244675:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 20.40/3.63 % (346770)Instruction limit reached!
% 20.40/3.63 % (346770)------------------------------
% 20.40/3.63 % (346770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/3.63 % (346770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/3.63 % (346770)CaDiCaL version: 2.1.3
% 20.40/3.63 % (346770)Termination reason: Instruction limit
% 20.40/3.63 % (346770)Termination phase: Saturation
% 20.40/3.63 % (346770)Time elapsed: 0.061 s
% 20.40/3.63 % (346770)Peak memory usage: 91 MB
% 20.40/3.63 % (346770)Instructions burned: 115 (million)
% 20.40/3.63 % (346771)Instruction limit reached!
% 20.40/3.63 % (346771)------------------------------
% 20.40/3.63 % (346771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/3.63 % (346771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/3.63 % (346771)CaDiCaL version: 2.1.3
% 20.40/3.63 % (346771)Termination reason: Instruction limit
% 20.40/3.63 % (346771)Termination phase: Saturation
% 20.40/3.63 % (346771)Time elapsed: 0.062 s
% 20.40/3.63 % (346771)Peak memory usage: 90 MB
% 20.40/3.63 % (346771)Instructions burned: 127 (million)
% 20.40/3.63 % (346768)Instruction limit reached!
% 20.40/3.63 % (346768)------------------------------
% 20.40/3.63 % (346768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/3.63 % (346768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/3.63 % (346768)CaDiCaL version: 2.1.3
% 20.40/3.63 % (346768)Termination reason: Instruction limit
% 20.40/3.63 % (346768)Termination phase: Saturation
% 20.40/3.63 % (346768)Time elapsed: 0.162 s
% 20.40/3.63 % (346768)Peak memory usage: 93 MB
% 20.40/3.63 % (346768)Instructions burned: 295 (million)
% 56.45/8.66 % (346776)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3230783011:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 56.45/8.66 % (346777)lrs+10_1_sil=8000:sp=occurrence:random_seed=1249575495:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 56.45/8.66 % (346778)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=946216247:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 56.45/8.66 % (346776)Instruction limit reached!
% 56.45/8.66 % (346776)------------------------------
% 56.45/8.66 % (346776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.45/8.66 % (346776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.45/8.66 % (346776)CaDiCaL version: 2.1.3
% 56.45/8.66 % (346776)Termination reason: Instruction limit
% 56.45/8.66 % (346776)Termination phase: Saturation
% 56.45/8.66 % (346776)Time elapsed: 0.060 s
% 56.45/8.66 % (346776)Peak memory usage: 89 MB
% 56.45/8.66 % (346776)Instructions burned: 116 (million)
% 56.45/8.66 % (346782)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2743738968:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 56.45/8.66 % (346778)Instruction limit reached!
% 56.45/8.66 % (346778)------------------------------
% 56.45/8.66 % (346778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.45/8.66 % (346778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.45/8.66 % (346778)CaDiCaL version: 2.1.3
% 56.45/8.66 % (346778)Termination reason: Instruction limit
% 56.45/8.66 % (346778)Termination phase: Saturation
% 56.45/8.66 % (346778)Time elapsed: 0.235 s
% 56.45/8.66 % (346778)Peak memory usage: 94 MB
% 56.45/8.66 % (346778)Instructions burned: 438 (million)
% 56.45/8.66 % (346784)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4053354907:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 56.45/8.66 % (346784)Instruction limit reached!
% 56.45/8.66 % (346784)------------------------------
% 56.45/8.66 % (346784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.45/8.66 % (346784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.45/8.66 % (346784)CaDiCaL version: 2.1.3
% 56.45/8.66 % (346784)Termination reason: Instruction limit
% 56.45/8.66 % (346784)Termination phase: Saturation
% 56.45/8.66 % (346784)Time elapsed: 0.076 s
% 56.45/8.66 % (346784)Peak memory usage: 91 MB
% 56.45/8.66 % (346784)Instructions burned: 134 (million)
% 56.45/8.66 % (346786)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=571364189:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 56.45/8.66 % (346777)Instruction limit reached!
% 56.45/8.66 % (346777)------------------------------
% 56.45/8.66 % (346777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.45/8.66 % (346777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.45/8.66 % (346777)CaDiCaL version: 2.1.3
% 56.45/8.66 % (346777)Termination reason: Instruction limit
% 56.45/8.66 % (346777)Termination phase: Saturation
% 56.45/8.66 % (346777)Time elapsed: 0.586 s
% 56.45/8.66 % (346777)Peak memory usage: 96 MB
% 56.45/8.66 % (346777)Instructions burned: 908 (million)
% 56.45/8.66 % (346788)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=426788575:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 56.45/8.66 % (346786)Instruction limit reached!
% 56.45/8.66 % (346786)------------------------------
% 56.45/8.66 % (346786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.45/8.66 % (346786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.45/8.66 % (346786)CaDiCaL version: 2.1.3
% 56.45/8.66 % (346786)Termination reason: Instruction limit
% 56.45/8.66 % (346786)Termination phase: Saturation
% 56.45/8.66 % (346786)Time elapsed: 0.327 s
% 56.45/8.66 % (346786)Peak memory usage: 95 MB
% 56.45/8.66 % (346786)Instructions burned: 593 (million)
% 56.45/8.66 % (346790)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=2778208677:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 56.45/8.66 % (346790)Instruction limit reached!
% 56.45/8.66 % (346790)------------------------------
% 56.45/8.66 % (346790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.47/12.17 % (346790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.47/12.17 % (346790)CaDiCaL version: 2.1.3
% 81.47/12.17 % (346790)Termination reason: Instruction limit
% 81.47/12.17 % (346790)Termination phase: Saturation
% 81.47/12.17 % (346790)Time elapsed: 0.063 s
% 81.47/12.17 % (346790)Peak memory usage: 91 MB
% 81.47/12.17 % (346790)Instructions burned: 125 (million)
% 81.47/12.17 % (346769)Instruction limit reached!
% 81.47/12.17 % (346769)------------------------------
% 81.47/12.17 % (346769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.47/12.17 % (346769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.47/12.17 % (346769)CaDiCaL version: 2.1.3
% 81.47/12.17 % (346769)Termination reason: Instruction limit
% 81.47/12.17 % (346769)Termination phase: Saturation
% 81.47/12.17 % (346769)Time elapsed: 1.397 s
% 81.47/12.17 % (346769)Peak memory usage: 146 MB
% 81.47/12.17 % (346769)Instructions burned: 2352 (million)
% 81.47/12.17 % (346792)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=411085701:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 81.47/12.17 % (346792)Instruction limit reached!
% 81.47/12.17 % (346792)------------------------------
% 81.47/12.17 % (346792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.47/12.17 % (346792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.47/12.17 % (346792)CaDiCaL version: 2.1.3
% 81.47/12.17 % (346792)Termination reason: Instruction limit
% 81.47/12.17 % (346792)Termination phase: Saturation
% 81.47/12.17 % (346792)Time elapsed: 0.067 s
% 81.47/12.17 % (346792)Peak memory usage: 90 MB
% 81.47/12.17 % (346792)Instructions burned: 134 (million)
% 81.47/12.17 % (346793)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1692639353:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 81.47/12.17 % (346793)Refutation not found, incomplete strategy
% 81.47/12.17 % (346793)------------------------------
% 81.47/12.17 % (346793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.47/12.17 % (346793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.47/12.17 % (346793)CaDiCaL version: 2.1.3
% 81.47/12.17 % (346793)Termination reason: Refutation not found, incomplete strategy
% 81.47/12.17 % (346793)Time elapsed: 0.006 s
% 81.47/12.17 % (346793)Peak memory usage: 89 MB
% 81.47/12.17 % (346793)Instructions burned: 7 (million)
% 81.47/12.17 % (346795)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2114904310:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 81.47/12.17 % (346795)Refutation not found, incomplete strategy
% 81.47/12.17 % (346795)------------------------------
% 81.47/12.17 % (346795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.47/12.17 % (346795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.47/12.17 % (346795)CaDiCaL version: 2.1.3
% 81.47/12.17 % (346795)Termination reason: Refutation not found, incomplete strategy
% 81.47/12.17 % (346795)Time elapsed: 0.008 s
% 81.47/12.17 % (346795)Peak memory usage: 89 MB
% 81.47/12.17 % (346795)Instructions burned: 11 (million)
% 81.47/12.17 % (346793)------------------------------
% 81.47/12.17 % (346793)------------------------------
% 81.47/12.17 % (346795)------------------------------
% 81.47/12.17 % (346795)------------------------------
% 81.47/12.17 % (346798)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=2239387103:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 81.47/12.17 % (346800)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=639013239:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 81.47/12.17 % (346800)Instruction limit reached!
% 81.47/12.17 % (346800)------------------------------
% 81.47/12.17 % (346800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.47/12.17 % (346800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.47/12.17 % (346800)CaDiCaL version: 2.1.3
% 81.47/12.17 % (346800)Termination reason: Instruction limit
% 81.47/12.17 % (346800)Termination phase: Saturation
% 81.47/12.17 % (346800)Time elapsed: 0.086 s
% 81.47/12.17 % (346800)Peak memory usage: 92 MB
% 81.47/12.17 % (346800)Instructions burned: 150 (million)
% 81.47/12.17 % (346802)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=189076544:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 116.33/17.06 % (346782)Instruction limit reached!
% 116.33/17.06 % (346782)------------------------------
% 116.33/17.06 % (346782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.33/17.06 % (346782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.33/17.06 % (346782)CaDiCaL version: 2.1.3
% 116.33/17.06 % (346782)Termination reason: Instruction limit
% 116.33/17.06 % (346782)Termination phase: Saturation
% 116.33/17.06 % (346782)Time elapsed: 3.076 s
% 116.33/17.06 % (346782)Peak memory usage: 170 MB
% 116.33/17.06 % (346782)Instructions burned: 5203 (million)
% 116.33/17.06 % (346804)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=4170582716:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 116.33/17.06 % (346804)Instruction limit reached!
% 116.33/17.06 % (346804)------------------------------
% 116.33/17.06 % (346804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.33/17.06 % (346804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.33/17.06 % (346804)CaDiCaL version: 2.1.3
% 116.33/17.06 % (346804)Termination reason: Instruction limit
% 116.33/17.06 % (346804)Termination phase: Saturation
% 116.33/17.06 % (346804)Time elapsed: 0.329 s
% 116.33/17.06 % (346804)Peak memory usage: 107 MB
% 116.33/17.06 % (346804)Instructions burned: 668 (million)
% 116.33/17.06 % (346806)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=2527525491:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 116.33/17.06 % (346806)Instruction limit reached!
% 116.33/17.06 % (346806)------------------------------
% 116.33/17.06 % (346806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.33/17.06 % (346806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.33/17.06 % (346806)CaDiCaL version: 2.1.3
% 116.33/17.06 % (346806)Termination reason: Instruction limit
% 116.33/17.06 % (346806)Termination phase: Saturation
% 116.33/17.06 % (346806)Time elapsed: 0.100 s
% 116.33/17.06 % (346806)Peak memory usage: 92 MB
% 116.33/17.06 % (346806)Instructions burned: 185 (million)
% 116.33/17.06 % (346808)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=534548772:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 116.33/17.06 % (346808)Instruction limit reached!
% 116.33/17.06 % (346808)------------------------------
% 116.33/17.06 % (346808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.33/17.06 % (346808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.33/17.06 % (346808)CaDiCaL version: 2.1.3
% 116.33/17.06 % (346808)Termination reason: Instruction limit
% 116.33/17.06 % (346808)Termination phase: Saturation
% 116.33/17.06 % (346808)Time elapsed: 0.121 s
% 116.33/17.06 % (346808)Peak memory usage: 92 MB
% 116.33/17.06 % (346808)Instructions burned: 194 (million)
% 116.33/17.06 % (346810)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=29310805:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2949 on theBenchmark for (2949ds/4850Mi)
% 116.33/17.06 % (346798)Instruction limit reached!
% 116.33/17.06 % (346798)------------------------------
% 116.33/17.06 % (346798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.33/17.06 % (346798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.33/17.06 % (346798)CaDiCaL version: 2.1.3
% 116.33/17.06 % (346798)Termination reason: Instruction limit
% 116.33/17.06 % (346798)Termination phase: Saturation
% 116.33/17.06 % (346798)Time elapsed: 3.560 s
% 116.33/17.06 % (346798)Peak memory usage: 186 MB
% 116.33/17.06 % (346798)Instructions burned: 6060 (million)
% 116.33/17.06 % (346812)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3657901344:i=12111:sd=1:ss=included_2938 on theBenchmark for (2938ds/12111Mi)
% 116.33/17.06 % (346810)Instruction limit reached!
% 116.33/17.06 % (346810)------------------------------
% 116.33/17.06 % (346810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 116.33/17.06 % (346810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 116.33/17.06 % (346810)CaDiCaL version: 2.1.3
% 116.33/17.06 % (346810)Termination reason: Instruction limit
% 116.33/17.06 % (346810)Termination phase: Saturation
% 116.33/17.06 % (346810)Time elapsed: 2.766 s
% 116.33/17.06 % (346810)Peak memory usage: 115 MB
% 144.70/21.11 % (346810)Instructions burned: 4851 (million)
% 144.70/21.11 % (346814)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1557593467:i=319:kws=precedence:fsr=off_2919 on theBenchmark for (2919ds/319Mi)
% 144.70/21.11 % (346814)Instruction limit reached!
% 144.70/21.11 % (346814)------------------------------
% 144.70/21.11 % (346814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.70/21.11 % (346814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.70/21.11 % (346814)CaDiCaL version: 2.1.3
% 144.70/21.11 % (346814)Termination reason: Instruction limit
% 144.70/21.11 % (346814)Termination phase: Saturation
% 144.70/21.11 % (346814)Time elapsed: 0.190 s
% 144.70/21.11 % (346814)Peak memory usage: 94 MB
% 144.70/21.11 % (346814)Instructions burned: 320 (million)
% 144.70/21.11 % (346816)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=1798743001:i=2064:ep=RST_2916 on theBenchmark for (2916ds/2064Mi)
% 144.70/21.11 % (346788)Instruction limit reached!
% 144.70/21.11 % (346788)------------------------------
% 144.70/21.11 % (346788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.70/21.11 % (346788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.70/21.11 % (346788)CaDiCaL version: 2.1.3
% 144.70/21.11 % (346788)Termination reason: Instruction limit
% 144.70/21.11 % (346788)Termination phase: Saturation
% 144.70/21.11 % (346788)Time elapsed: 7.641 s
% 144.70/21.11 % (346788)Peak memory usage: 230 MB
% 144.70/21.11 % (346788)Instructions burned: 13194 (million)
% 144.70/21.11 % (346818)dis-1011_128_sil=32000:random_seed=3253023967:i=3706:ep=RST:av=off_2907 on theBenchmark for (2907ds/3706Mi)
% 144.70/21.11 % (346816)Instruction limit reached!
% 144.70/21.11 % (346816)------------------------------
% 144.70/21.11 % (346816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.70/21.11 % (346816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.70/21.11 % (346816)CaDiCaL version: 2.1.3
% 144.70/21.11 % (346816)Termination reason: Instruction limit
% 144.70/21.11 % (346816)Termination phase: Saturation
% 144.70/21.11 % (346816)Time elapsed: 1.157 s
% 144.70/21.11 % (346816)Peak memory usage: 98 MB
% 144.70/21.11 % (346816)Instructions burned: 2065 (million)
% 144.70/21.11 % (346820)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3447900269:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2903 on theBenchmark for (2903ds/757Mi)
% 144.70/21.11 % (346820)Instruction limit reached!
% 144.70/21.11 % (346820)------------------------------
% 144.70/21.11 % (346820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.70/21.11 % (346820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.70/21.11 % (346820)CaDiCaL version: 2.1.3
% 144.70/21.11 % (346820)Termination reason: Instruction limit
% 144.70/21.11 % (346820)Termination phase: Saturation
% 144.70/21.11 % (346820)Time elapsed: 0.412 s
% 144.70/21.11 % (346820)Peak memory usage: 107 MB
% 144.70/21.11 % (346820)Instructions burned: 757 (million)
% 144.70/21.11 % (346822)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=525895456:i=13913:ss=axioms:sgt=8_2898 on theBenchmark for (2898ds/13913Mi)
% 144.70/21.11 % (346818)Instruction limit reached!
% 144.70/21.11 % (346818)------------------------------
% 144.70/21.11 % (346818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.70/21.11 % (346818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.70/21.11 % (346818)CaDiCaL version: 2.1.3
% 144.70/21.11 % (346818)Termination reason: Instruction limit
% 144.70/21.11 % (346818)Termination phase: Saturation
% 144.70/21.11 % (346818)Time elapsed: 1.956 s
% 144.70/21.11 % (346818)Peak memory usage: 114 MB
% 144.70/21.11 % (346818)Instructions burned: 3707 (million)
% 144.70/21.11 % (346824)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3826790072:i=9925:aac=none_2886 on theBenchmark for (2886ds/9925Mi)
% 144.70/21.11 % (346802)Instruction limit reached!
% 144.70/21.11 % (346802)------------------------------
% 144.70/21.11 % (346802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.70/21.11 % (346802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.70/21.11 % (346802)CaDiCaL version: 2.1.3
% 144.70/21.11 % (346802)Termination reason: Instruction limit
% 144.70/21.11 % (346802)Termination phase: Saturation
% 144.70/21.11 % (346802)Time elapsed: 8.537 s
% 144.70/21.11 % (346802)Peak memory usage: 223 MB
% 144.70/21.11 % (346802)Instructions burned: 14155 (million)
% 175.00/25.33 % (346826)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=135991204:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2884 on theBenchmark for (2884ds/2479Mi)
% 175.00/25.33 % (346826)Refutation not found, incomplete strategy
% 175.00/25.33 % (346826)------------------------------
% 175.00/25.33 % (346826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.00/25.33 % (346826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.00/25.33 % (346826)CaDiCaL version: 2.1.3
% 175.00/25.33 % (346826)Termination reason: Refutation not found, incomplete strategy
% 175.00/25.33 % (346826)Time elapsed: 0.041 s
% 175.00/25.33 % (346826)Peak memory usage: 90 MB
% 175.00/25.33 % (346826)Instructions burned: 71 (million)
% 175.00/25.33 % (346826)------------------------------
% 175.00/25.33 % (346826)------------------------------
% 175.00/25.33 % (346828)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=420922752:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2880 on theBenchmark for (2880ds/440Mi)
% 175.00/25.33 % (346828)Instruction limit reached!
% 175.00/25.33 % (346828)------------------------------
% 175.00/25.33 % (346828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.00/25.33 % (346828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.00/25.33 % (346828)CaDiCaL version: 2.1.3
% 175.00/25.33 % (346828)Termination reason: Instruction limit
% 175.00/25.33 % (346828)Termination phase: Saturation
% 175.00/25.33 % (346828)Time elapsed: 0.242 s
% 175.00/25.33 % (346828)Peak memory usage: 93 MB
% 175.00/25.33 % (346828)Instructions burned: 440 (million)
% 175.00/25.33 % (346830)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1547710259:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2876 on theBenchmark for (2876ds/11145Mi)
% 175.00/25.33 % (346812)Instruction limit reached!
% 175.00/25.33 % (346812)------------------------------
% 175.00/25.33 % (346812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.00/25.33 % (346812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.00/25.33 % (346812)CaDiCaL version: 2.1.3
% 175.00/25.33 % (346812)Termination reason: Instruction limit
% 175.00/25.33 % (346812)Termination phase: Saturation
% 175.00/25.33 % (346812)Time elapsed: 7.126 s
% 175.00/25.33 % (346812)Peak memory usage: 238 MB
% 175.00/25.33 % (346812)Instructions burned: 12111 (million)
% 175.00/25.33 % (346832)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=3714582766:cts=off:i=3034:av=off:er=known:fsd=on_2865 on theBenchmark for (2865ds/3034Mi)
% 175.00/25.33 % (346832)Instruction limit reached!
% 175.00/25.33 % (346832)------------------------------
% 175.00/25.33 % (346832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.00/25.33 % (346832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.00/25.33 % (346832)CaDiCaL version: 2.1.3
% 175.00/25.33 % (346832)Termination reason: Instruction limit
% 175.00/25.33 % (346832)Termination phase: Saturation
% 175.00/25.33 % (346832)Time elapsed: 1.737 s
% 175.00/25.33 % (346832)Peak memory usage: 146 MB
% 175.00/25.33 % (346832)Instructions burned: 3035 (million)
% 175.00/25.33 % (346834)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1618512436:st=2:s2a=on:i=524:s2at=2:ss=axioms_2846 on theBenchmark for (2846ds/524Mi)
% 175.00/25.33 % (346834)Instruction limit reached!
% 175.00/25.33 % (346834)------------------------------
% 175.00/25.33 % (346834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.00/25.33 % (346834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.00/25.33 % (346834)CaDiCaL version: 2.1.3
% 175.00/25.33 % (346834)Termination reason: Instruction limit
% 175.00/25.33 % (346834)Termination phase: Saturation
% 175.00/25.33 % (346834)Time elapsed: 0.259 s
% 175.00/25.33 % (346834)Peak memory usage: 93 MB
% 175.00/25.33 % (346834)Instructions burned: 526 (million)
% 175.00/25.33 % (346836)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=24566780:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2842 on theBenchmark for (2842ds/1016Mi)
% 175.00/25.33 % (346836)Instruction limit reached!
% 175.00/25.33 % (346836)------------------------------
% 175.00/25.33 % (346836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 175.00/25.33 % (346836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 175.00/25.33 % (346836)CaDiCaL version: 2.1.3
% 175.00/25.33 % (346836)Termination reason: Instruction limit
% 129.56/29.58 % (346836)Termination phase: Saturation
% 129.56/29.58 % (346836)Time elapsed: 0.569 s
% 129.56/29.58 % (346836)Peak memory usage: 99 MB
% 129.56/29.58 % (346836)Instructions burned: 1017 (million)
% 129.56/29.58 % (346838)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=3494979251:i=14123:bd=preordered:ins=4_2835 on theBenchmark for (2835ds/14123Mi)
% 129.56/29.58 % (346824)Instruction limit reached!
% 129.56/29.58 % (346824)------------------------------
% 129.56/29.58 % (346824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346824)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346824)Termination reason: Instruction limit
% 129.56/29.58 % (346824)Termination phase: Saturation
% 129.56/29.58 % (346824)Time elapsed: 5.619 s
% 129.56/29.58 % (346824)Peak memory usage: 197 MB
% 129.56/29.58 % (346824)Instructions burned: 9925 (million)
% 129.56/29.58 % (346840)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1631662753:i=5781:kws=precedence:bd=all:rawr=on_2828 on theBenchmark for (2828ds/5781Mi)
% 129.56/29.58 % (346822)Instruction limit reached!
% 129.56/29.58 % (346822)------------------------------
% 129.56/29.58 % (346822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346822)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346822)Termination reason: Instruction limit
% 129.56/29.58 % (346822)Termination phase: Saturation
% 129.56/29.58 % (346822)Time elapsed: 7.819 s
% 129.56/29.58 % (346822)Peak memory usage: 245 MB
% 129.56/29.58 % (346822)Instructions burned: 13914 (million)
% 129.56/29.58 % (346842)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=2227797262:i=2448:gtgl=5:bd=preordered:gtg=all_2818 on theBenchmark for (2818ds/2448Mi)
% 129.56/29.58 % (346830)Instruction limit reached!
% 129.56/29.58 % (346830)------------------------------
% 129.56/29.58 % (346830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346830)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346830)Termination reason: Instruction limit
% 129.56/29.58 % (346830)Termination phase: Saturation
% 129.56/29.58 % (346830)Time elapsed: 5.923 s
% 129.56/29.58 % (346830)Peak memory usage: 218 MB
% 129.56/29.58 % (346830)Instructions burned: 11145 (million)
% 129.56/29.58 % (346844)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=4088923741:i=3223:kws=precedence:fgj=on:av=off_2816 on theBenchmark for (2816ds/3223Mi)
% 129.56/29.58 % (346842)Instruction limit reached!
% 129.56/29.58 % (346842)------------------------------
% 129.56/29.58 % (346842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346842)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346842)Termination reason: Instruction limit
% 129.56/29.58 % (346842)Termination phase: Saturation
% 129.56/29.58 % (346842)Time elapsed: 1.400 s
% 129.56/29.58 % (346842)Peak memory usage: 146 MB
% 129.56/29.58 % (346842)Instructions burned: 2449 (million)
% 129.56/29.58 % (346846)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=818447772:st=5.6:i=2033:sd=3:ss=axioms_2803 on theBenchmark for (2803ds/2033Mi)
% 129.56/29.58 % (346840)Instruction limit reached!
% 129.56/29.58 % (346840)------------------------------
% 129.56/29.58 % (346840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346840)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346840)Termination reason: Instruction limit
% 129.56/29.58 % (346840)Termination phase: Saturation
% 129.56/29.58 % (346840)Time elapsed: 3.015 s
% 129.56/29.58 % (346840)Peak memory usage: 113 MB
% 129.56/29.58 % (346840)Instructions burned: 5781 (million)
% 129.56/29.58 % (346848)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=7089262:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2797 on theBenchmark for (2797ds/2055Mi)
% 129.56/29.58 % (346844)Instruction limit reached!
% 129.56/29.58 % (346844)------------------------------
% 129.56/29.58 % (346844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346844)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346844)Termination reason: Instruction limit
% 129.56/29.58 % (346844)Termination phase: Saturation
% 129.56/29.58 % (346844)Time elapsed: 1.950 s
% 129.56/29.58 % (346844)Peak memory usage: 153 MB
% 129.56/29.58 % (346844)Instructions burned: 3224 (million)
% 129.56/29.58 % (346850)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=1114858549:i=21611:sd=3:ss=axioms_2795 on theBenchmark for (2795ds/21611Mi)
% 129.56/29.58 % (346846)Instruction limit reached!
% 129.56/29.58 % (346846)------------------------------
% 129.56/29.58 % (346846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346846)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346846)Termination reason: Instruction limit
% 129.56/29.58 % (346846)Termination phase: Saturation
% 129.56/29.58 % (346846)Time elapsed: 1.216 s
% 129.56/29.58 % (346846)Peak memory usage: 143 MB
% 129.56/29.58 % (346846)Instructions burned: 2034 (million)
% 129.56/29.58 % (346852)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=4175578512:i=4835:sd=13:ss=axioms:sgt=23_2789 on theBenchmark for (2789ds/4835Mi)
% 129.56/29.58 % (346848)Instruction limit reached!
% 129.56/29.58 % (346848)------------------------------
% 129.56/29.58 % (346848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346848)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346848)Termination reason: Instruction limit
% 129.56/29.58 % (346848)Termination phase: Saturation
% 129.56/29.58 % (346848)Time elapsed: 1.199 s
% 129.56/29.58 % (346848)Peak memory usage: 137 MB
% 129.56/29.58 % (346848)Instructions burned: 2057 (million)
% 129.56/29.58 % (346854)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=4495942:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2783 on theBenchmark for (2783ds/797Mi)
% 129.56/29.58 % (346854)Instruction limit reached!
% 129.56/29.58 % (346854)------------------------------
% 129.56/29.58 % (346854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346854)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346854)Termination reason: Instruction limit
% 129.56/29.58 % (346854)Termination phase: Saturation
% 129.56/29.58 % (346854)Time elapsed: 0.459 s
% 129.56/29.58 % (346854)Peak memory usage: 95 MB
% 129.56/29.58 % (346854)Instructions burned: 798 (million)
% 129.56/29.58 % (346856)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=1045574662:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2777 on theBenchmark for (2777ds/2326Mi)
% 129.56/29.58 % (346856)Instruction limit reached!
% 129.56/29.58 % (346856)------------------------------
% 129.56/29.58 % (346856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346856)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346856)Termination reason: Instruction limit
% 129.56/29.58 % (346856)Termination phase: Saturation
% 129.56/29.58 % (346856)Time elapsed: 1.386 s
% 129.56/29.58 % (346856)Peak memory usage: 104 MB
% 129.56/29.58 % (346856)Instructions burned: 2328 (million)
% 129.56/29.58 % (346858)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=9881087:i=6038:nm=6_2762 on theBenchmark for (2762ds/6038Mi)
% 129.56/29.58 % (346852)Instruction limit reached!
% 129.56/29.58 % (346852)------------------------------
% 129.56/29.58 % (346852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346852)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346852)Termination reason: Instruction limit
% 129.56/29.58 % (346852)Termination phase: Saturation
% 129.56/29.58 % (346852)Time elapsed: 2.794 s
% 129.56/29.58 % (346852)Peak memory usage: 116 MB
% 129.56/29.58 % (346852)Instructions burned: 4836 (million)
% 129.56/29.58 % (346860)lrs+10_1_sil=32000:sp=occurrence:random_seed=1057622836:st=2:i=33334:sd=3:ss=included:sgt=32_2760 on theBenchmark for (2760ds/33334Mi)
% 129.56/29.58 % (346838)Instruction limit reached!
% 129.56/29.58 % (346838)------------------------------
% 129.56/29.58 % (346838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346838)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346838)Termination reason: Instruction limit
% 129.56/29.58 % (346838)Termination phase: Saturation
% 129.56/29.58 % (346838)Time elapsed: 8.142 s
% 129.56/29.58 % (346838)Peak memory usage: 248 MB
% 129.56/29.58 % (346838)Instructions burned: 14124 (million)
% 129.56/29.58 % (346862)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=3686978123:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2753 on theBenchmark for (2753ds/1008Mi)
% 129.56/29.58 % (346862)Instruction limit reached!
% 129.56/29.58 % (346862)------------------------------
% 129.56/29.58 % (346862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346862)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346862)Termination reason: Instruction limit
% 129.56/29.58 % (346862)Termination phase: Saturation
% 129.56/29.58 % (346862)Time elapsed: 0.524 s
% 129.56/29.58 % (346862)Peak memory usage: 97 MB
% 129.56/29.58 % (346862)Instructions burned: 1009 (million)
% 129.56/29.58 % (346864)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=1446035225:i=8327:s2at=5:bd=preordered_2746 on theBenchmark for (2746ds/8327Mi)
% 129.56/29.58 % (346858)Instruction limit reached!
% 129.56/29.58 % (346858)------------------------------
% 129.56/29.58 % (346858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346858)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346858)Termination reason: Instruction limit
% 129.56/29.58 % (346858)Termination phase: Saturation
% 129.56/29.58 % (346858)Time elapsed: 3.102 s
% 129.56/29.58 % (346858)Peak memory usage: 159 MB
% 129.56/29.58 % (346858)Instructions burned: 6040 (million)
% 129.56/29.58 % (346866)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=3976555474:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2730 on theBenchmark for (2730ds/1083Mi)
% 129.56/29.58 % (346866)Instruction limit reached!
% 129.56/29.58 % (346866)------------------------------
% 129.56/29.58 % (346866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346866)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346866)Termination reason: Instruction limit
% 129.56/29.58 % (346866)Termination phase: Saturation
% 129.56/29.58 % (346866)Time elapsed: 0.511 s
% 129.56/29.58 % (346866)Peak memory usage: 99 MB
% 129.56/29.58 % (346866)Instructions burned: 1085 (million)
% 129.56/29.58 % (346868)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=867625515:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2723 on theBenchmark for (2723ds/1084Mi)
% 129.56/29.58 % (346868)Instruction limit reached!
% 129.56/29.58 % (346868)------------------------------
% 129.56/29.58 % (346868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.56/29.58 % (346868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.56/29.58 % (346868)CaDiCaL version: 2.1.3
% 129.56/29.58 % (346868)Termination reason: Instruction limit
% 129.56/29.58 % (346868)Termination phase: Saturation
% 129.56/29.58 % (346868)Time elapsed: 0.581 s
% 129.56/29.58 % (346868)Peak memory usage: 97 MB
% 129.56/29.58 % (346868)Instructions burned: 1084 (million)
% 129.56/29.58 % (346747)First to succeed.
% 129.56/29.58 % (346870)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=559840536:i=6995:s2at=5:gtg=all_2716 on theBenchmark for (2716ds/6995Mi)
% 129.56/29.58 % (346747)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-346741"
% 129.56/29.58 % (346747)Refutation found. Thanks to Tanya!
% 129.56/29.58 % SZS status Theorem for theBenchmark
% 129.56/29.58 % SZS output start Proof for theBenchmark
% See solution above
% 204.94/29.78 % (346747)------------------------------
% 204.94/29.78 % (346747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 204.94/29.78 % (346747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 204.94/29.78 % (346747)CaDiCaL version: 2.1.3
% 204.94/29.78 % (346747)Termination reason: Refutation
% 204.94/29.78 % (346747)Time elapsed: 28.294 s
% 204.94/29.78 % (346747)Peak memory usage: 544 MB
% 204.94/29.78 % (346747)Instructions burned: 49978 (million)
% 204.94/29.78 % (346747)------------------------------
% 204.94/29.78 % (346747)------------------------------
% 204.94/29.78 % (346741)Success in time 28.918 s
% 204.94/29.78 % Vampire exiting
%------------------------------------------------------------------------------