%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW275+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:39:44 PM UTC 2026
% Result : Theorem 121.94s 32.53s
% Output : Refutation 121.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 84 ( 37 unt; 3 def)
% Number of atoms : 146 ( 54 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 114 ( 52 ~; 45 |; 5 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),v_na____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096order_Aa_Ap_A_060_061_An_096) ).
fof(f11,axiom,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_s) ).
fof(f14,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____) = v_na____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dpn) ).
fof(f27,axiom,
c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ds0) ).
fof(f74,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
=> X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__antisym) ).
fof(f97,axiom,
! [X0] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_diff__self__eq__0) ).
fof(f141,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__linear__power) ).
fof(f321,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__1(X0)
=> c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_one__poly__def) ).
fof(f802,axiom,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Nat_Oadd__0__right) ).
fof(f860,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__1(X3)
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) = hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J) ).
fof(f911,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__mult__le) ).
fof(f915,axiom,
! [X0,X1] :
( ( X1 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = X0 )
& ( X1 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
=> c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__eq__if) ).
fof(f922,axiom,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_nat__add__commute) ).
fof(f1125,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1126,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1179,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__1(X0)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(f1214,conjecture,
( ( v_r____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_na____) )
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1215,negated_conjecture,
~ ( ( v_r____ = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
& c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_na____) )
| hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))) ),
inference(negated_conjecture,[status(cth)],[f1214]) ).
fof(f1275,plain,
! [X0,X1] :
( X1 = X0
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f1276,plain,
! [X0,X1] :
( X1 = X0
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0) ),
inference(flattening,[],[f1275]) ).
fof(f1353,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f141]) ).
fof(f1560,plain,
! [X0] :
( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0)))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(ennf_transformation,[],[f321]) ).
fof(f2203,plain,
! [X0,X1,X2,X3] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) = hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0))
| ~ class_Rings_Ocomm__semiring__1(X3) ),
inference(ennf_transformation,[],[f860]) ).
fof(f2234,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0)))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f911]) ).
fof(f2239,plain,
! [X0,X1] :
( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = X0
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 )
& ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X0))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X1 ) ),
inference(ennf_transformation,[],[f915]) ).
fof(f2386,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(ennf_transformation,[],[f1179]) ).
fof(f2419,plain,
( ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != v_r____
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),v_na____) )
& hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))) ),
inference(ennf_transformation,[],[f1215]) ).
fof(f2790,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____),v_na____),
inference(cnf_transformation,[],[f10]) ).
fof(f2791,plain,
v_pa____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),v_s____),
inference(cnf_transformation,[],[f11]) ).
fof(f2794,plain,
v_na____ = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),
inference(cnf_transformation,[],[f14]) ).
fof(f2809,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),
inference(cnf_transformation,[],[f27]) ).
fof(f2889,plain,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f1276]) ).
fof(f2919,plain,
! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X0),
inference(cnf_transformation,[],[f97]) ).
fof(f2975,plain,
! [X2,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X2)
| c_Polynomial_Odegree(X2,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X2)),c_Polynomial_OpCons(X2,X1,c_Polynomial_OpCons(X2,c_Groups_Oone__class_Oone(X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))))),X0)) = X0 ),
inference(cnf_transformation,[],[f1353]) ).
fof(f3236,plain,
! [X0] :
( ~ class_Rings_Ocomm__semiring__1(X0)
| c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X0)) = c_Polynomial_OpCons(X0,c_Groups_Oone__class_Oone(X0),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
inference(cnf_transformation,[],[f1560]) ).
fof(f3899,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = X0,
inference(cnf_transformation,[],[f802]) ).
fof(f3971,plain,
! [X2,X3,X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X3)
| hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X2),X0)) ),
inference(cnf_transformation,[],[f2203]) ).
fof(f4060,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X1),X0)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Polynomial_Odegree(X2,X0)))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f2234]) ).
fof(f4065,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = X0
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != X1 ),
inference(cnf_transformation,[],[f2239]) ).
fof(f4075,plain,
! [X0,X1] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,X1),
inference(cnf_transformation,[],[f922]) ).
fof(f4319,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1125]) ).
fof(f4320,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1126]) ).
fof(f4373,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f2386]) ).
fof(f4408,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)))),
inference(cnf_transformation,[],[f2419]) ).
fof(f4771,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X0) = X0,
inference(equality_resolution,[],[f4065]) ).
fof(f5415,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))
| v_na____ = c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____) ),
inference(resolution,[],[f2889,f2790]) ).
fof(f5420,definition,
( spl28_7
<=> v_na____ = c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____) ),
introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).
fof(f5422,plain,
( v_na____ = c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f5420]) ).
fof(f5424,definition,
( spl28_8
<=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)) ),
introduced(definition,[new_symbols(definition,[spl28_8])],[avatar_definition]) ).
fof(f5426,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))
| spl28_8 ),
inference(avatar_component_clause,[],[f5424]) ).
fof(f5427,plain,
( spl28_7
| ~ spl28_8 ),
inference(avatar_split_clause,[],[f5415,f5424,f5420]) ).
fof(f7084,plain,
c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(resolution,[],[f3236,f4319]) ).
fof(f12377,definition,
( spl28_49
<=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl28_49])],[avatar_definition]) ).
fof(f12378,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl28_49 ),
inference(avatar_component_clause,[],[f12377]) ).
fof(f12379,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl28_49 ),
inference(avatar_component_clause,[],[f12377]) ).
fof(f24668,plain,
! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X1)) = X1,
inference(resolution,[],[f2975,f4319]) ).
fof(f24672,plain,
! [X0,X1] : c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),X1)) = X1,
inference(forward_demodulation,[],[f24668,f7084]) ).
fof(f38073,plain,
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____)))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(superposition,[],[f4060,f2791]) ).
fof(f38198,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____))),
inference(forward_subsumption_resolution,[],[f38073,f4320]) ).
fof(f38207,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),
inference(forward_demodulation,[],[f38198,f4075]) ).
fof(f38216,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Polynomial_Odegree(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))))),
inference(forward_demodulation,[],[f38207,f7084]) ).
fof(f38247,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_s____),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),
inference(forward_demodulation,[],[f38216,f24672]) ).
fof(f38280,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____))),
inference(forward_demodulation,[],[f38247,f2809]) ).
fof(f38281,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_pa____),c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)),
inference(forward_demodulation,[],[f38280,f4771]) ).
fof(f38282,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,v_na____,c_Polynomial_Oorder(tc_Complex_Ocomplex,v_a____,v_pa____)),
inference(forward_demodulation,[],[f38281,f2794]) ).
fof(f38283,plain,
( $false
| spl28_8 ),
inference(forward_subsumption_resolution,[],[f38282,f5426]) ).
fof(f38284,plain,
spl28_8,
inference(avatar_contradiction_clause,[],[f38283]) ).
fof(f48975,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| spl28_49 ),
inference(resolution,[],[f12379,f4373]) ).
fof(f48976,plain,
( $false
| spl28_49 ),
inference(forward_subsumption_resolution,[],[f48975,f4319]) ).
fof(f48977,plain,
spl28_49,
inference(avatar_contradiction_clause,[],[f48976]) ).
fof(f49081,plain,
( ! [X2,X0,X1] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X1)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),X2))
| ~ spl28_49 ),
inference(resolution,[],[f12378,f3971]) ).
fof(f52815,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,v_na____)))
| ~ spl28_7 ),
inference(superposition,[],[f4408,f5422]) ).
fof(f52827,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_na____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_na____,v_na____)))
| ~ spl28_7
| ~ spl28_49 ),
inference(forward_demodulation,[],[f52815,f49081]) ).
fof(f52836,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_na____,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
| ~ spl28_7
| ~ spl28_49 ),
inference(forward_demodulation,[],[f52827,f2919]) ).
fof(f52845,plain,
( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____) != hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_na____)
| ~ spl28_7
| ~ spl28_49 ),
inference(forward_demodulation,[],[f52836,f3899]) ).
fof(f52846,plain,
( $false
| ~ spl28_7
| ~ spl28_49 ),
inference(trivial_inequality_removal,[],[f52845]) ).
fof(f52847,plain,
( ~ spl28_7
| ~ spl28_49 ),
inference(avatar_contradiction_clause,[],[f52846]) ).
cnf(s1380,plain,
( spl28_7
| ~ spl28_8 ),
inference(sat_conversion,[],[f5427]) ).
cnf(s10241,plain,
spl28_8,
inference(sat_conversion,[],[f38284]) ).
cnf(s13244,plain,
spl28_49,
inference(sat_conversion,[],[f48977]) ).
cnf(s14353,plain,
( ~ spl28_7
| ~ spl28_49 ),
inference(sat_conversion,[],[f52847]) ).
cnf(s14357,plain,
~ spl28_7,
inference(rat,[],[s14353,s13244]) ).
cnf(s14383,plain,
$false,
inference(rat,[],[s1380,s10241,s14357]) ).
fof(f52859,plain,
$false,
inference(avatar_sat_refutation,[],[s14383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW275+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n013.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 13:28:51 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.85/2.34 % (1178189)Will run a generic schedule for satisfiability detection.
% 13.85/2.34 % (1178198)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=971471564:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.85/2.34 % (1178195)% WARNING: option uhcvi not known.
% 13.85/2.34 % (1178195)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3464699417:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.85/2.34 % (1178194)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=714804952_2999 on theBenchmark for (2999ds/0Mi)
% 13.85/2.34 % (1178196)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1063042312:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.85/2.34 % (1178197)dis+10_1_sil=32000:sp=arity:random_seed=3262894668:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.85/2.34 % (1178200)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1919970767:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.85/2.34 % (1178199)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2320106152:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.85/2.34 % (1178198)Instruction limit reached!
% 13.85/2.34 % (1178198)------------------------------
% 13.85/2.34 % (1178198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.34 % (1178198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.34 % (1178198)CaDiCaL version: 2.1.3
% 13.85/2.34 % (1178198)Termination reason: Instruction limit
% 13.85/2.34 % (1178198)Termination phase: Saturation
% 13.85/2.34 % (1178198)Time elapsed: 0.056 s
% 13.85/2.34 % (1178198)Peak memory usage: 14 MB
% 13.85/2.34 % (1178198)Instructions burned: 118 (million)
% 13.85/2.34 % (1178208)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4099152481:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 13.85/2.34 % (1178197)Instruction limit reached!
% 13.85/2.34 % (1178197)------------------------------
% 13.85/2.34 % (1178197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.34 % (1178197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.34 % (1178197)CaDiCaL version: 2.1.3
% 13.85/2.34 % (1178197)Termination reason: Instruction limit
% 13.85/2.34 % (1178197)Termination phase: Saturation
% 13.85/2.34 % (1178197)Time elapsed: 0.096 s
% 13.85/2.34 % (1178197)Peak memory usage: 14 MB
% 13.85/2.34 % (1178197)Instructions burned: 103 (million)
% 13.85/2.34 % (1178199)Instruction limit reached!
% 13.85/2.34 % (1178199)------------------------------
% 13.85/2.34 % (1178199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.34 % (1178199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.34 % (1178199)CaDiCaL version: 2.1.3
% 13.85/2.34 % (1178199)Termination reason: Instruction limit
% 13.85/2.34 % (1178199)Termination phase: Saturation
% 13.85/2.34 % (1178199)Time elapsed: 0.123 s
% 13.85/2.34 % (1178199)Peak memory usage: 14 MB
% 13.85/2.34 % (1178199)Instructions burned: 131 (million)
% 13.85/2.34 % (1178210)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=988668146:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 13.85/2.34 % (1178200)Instruction limit reached!
% 13.85/2.34 % (1178200)------------------------------
% 13.85/2.34 % (1178200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.34 % (1178200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.34 % (1178200)CaDiCaL version: 2.1.3
% 13.85/2.34 % (1178200)Termination reason: Instruction limit
% 13.85/2.34 % (1178200)Termination phase: Saturation
% 13.85/2.34 % (1178200)Time elapsed: 0.161 s
% 13.85/2.34 % (1178200)Peak memory usage: 16 MB
% 13.85/2.34 % (1178200)Instructions burned: 159 (million)
% 13.85/2.34 % (1178211)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3054766360:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 13.85/2.34 % (1178213)ott-21_1_sil=16000:fs=off:random_seed=3700816441:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 13.85/2.34 % (1178210)Instruction limit reached!
% 13.85/2.34 % (1178210)------------------------------
% 13.85/2.34 % (1178210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.85/2.34 % (1178210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/2.34 % (1178210)CaDiCaL version: 2.1.3
% 42.97/6.44 % (1178210)Termination reason: Instruction limit
% 42.97/6.44 % (1178210)Termination phase: Saturation
% 42.97/6.44 % (1178210)Time elapsed: 0.118 s
% 42.97/6.44 % (1178210)Peak memory usage: 14 MB
% 42.97/6.44 % (1178210)Instructions burned: 131 (million)
% 42.97/6.44 % (1178216)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2109146562:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 42.97/6.44 % TRYING [1]
% 42.97/6.44 % TRYING [2]
% 42.97/6.44 % (1178208)Instruction limit reached!
% 42.97/6.44 % (1178208)------------------------------
% 42.97/6.44 % (1178208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.97/6.44 % (1178208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.97/6.44 % (1178208)CaDiCaL version: 2.1.3
% 42.97/6.44 % (1178208)Termination reason: Instruction limit
% 42.97/6.44 % (1178208)Termination phase: Finite model building constraint generation
% 42.97/6.44 % (1178208)Time elapsed: 0.268 s
% 42.97/6.44 % (1178208)Peak memory usage: 24 MB
% 42.97/6.44 % (1178208)Instructions burned: 718 (million)
% 42.97/6.44 % (1178218)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1658064789:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 42.97/6.45 % (1178213)Instruction limit reached!
% 42.97/6.45 % (1178213)------------------------------
% 42.97/6.45 % (1178213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.97/6.45 % (1178213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.97/6.45 % (1178213)CaDiCaL version: 2.1.3
% 42.97/6.45 % (1178213)Termination reason: Instruction limit
% 42.97/6.45 % (1178213)Termination phase: Saturation
% 42.97/6.45 % (1178213)Time elapsed: 0.165 s
% 42.97/6.45 % (1178213)Peak memory usage: 14 MB
% 42.97/6.45 % (1178213)Instructions burned: 180 (million)
% 42.97/6.45 % (1178220)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2190337732:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 42.97/6.45 % TRYING [1]
% 42.97/6.45 % TRYING [2]
% 42.97/6.45 % TRYING [1]
% 42.97/6.45 % TRYING [2]
% 42.97/6.45 % (1178218)Instruction limit reached!
% 42.97/6.45 % (1178218)------------------------------
% 42.97/6.45 % (1178218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.97/6.45 % (1178218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.97/6.45 % (1178218)CaDiCaL version: 2.1.3
% 42.97/6.45 % (1178218)Termination reason: Instruction limit
% 42.97/6.45 % (1178218)Termination phase: Finite model building constraint generation
% 42.97/6.45 % (1178218)Time elapsed: 0.216 s
% 42.97/6.45 % (1178218)Peak memory usage: 34 MB
% 42.97/6.45 % (1178218)Instructions burned: 867 (million)
% 42.97/6.45 % (1178222)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3104974385:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 42.97/6.45 % (1178216)Instruction limit reached!
% 42.97/6.45 % (1178216)------------------------------
% 42.97/6.45 % (1178216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.97/6.45 % (1178216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.97/6.45 % (1178216)CaDiCaL version: 2.1.3
% 42.97/6.45 % (1178216)Termination reason: Instruction limit
% 42.97/6.45 % (1178216)Termination phase: Saturation
% 42.97/6.45 % (1178216)Time elapsed: 0.354 s
% 42.97/6.45 % (1178216)Peak memory usage: 16 MB
% 42.97/6.45 % (1178216)Instructions burned: 477 (million)
% 42.97/6.45 % (1178211)Instruction limit reached!
% 42.97/6.45 % (1178211)------------------------------
% 42.97/6.45 % (1178211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.97/6.45 % (1178211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.97/6.45 % (1178211)CaDiCaL version: 2.1.3
% 42.97/6.45 % (1178211)Termination reason: Instruction limit
% 42.97/6.45 % (1178211)Termination phase: Saturation
% 42.97/6.45 % (1178211)Time elapsed: 0.479 s
% 42.97/6.45 % (1178211)Peak memory usage: 20 MB
% 42.97/6.45 % (1178211)Instructions burned: 684 (million)
% 42.97/6.45 % (1178224)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2147170058:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 42.97/6.45 % TRYING [3]
% 42.97/6.45 % (1178225)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4184007774:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 42.97/6.45 % (1178222)Instruction limit reached!
% 42.97/6.45 % (1178222)------------------------------
% 42.97/6.45 % (1178222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.91/10.26 % (1178222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.91/10.26 % (1178222)CaDiCaL version: 2.1.3
% 69.91/10.26 % (1178222)Termination reason: Instruction limit
% 69.91/10.26 % (1178222)Termination phase: Finite model building constraint generation
% 69.91/10.26 % (1178222)Time elapsed: 0.237 s
% 69.91/10.26 % (1178222)Peak memory usage: 54 MB
% 69.91/10.26 % (1178222)Instructions burned: 889 (million)
% 69.91/10.26 % (1178228)fmb+10_1_sil=64000:random_seed=674432260:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 69.91/10.26 % TRYING [1]
% 69.91/10.26 % TRYING [2]
% 69.91/10.26 % (1178224)Instruction limit reached!
% 69.91/10.26 % (1178224)------------------------------
% 69.91/10.26 % (1178224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.91/10.26 % (1178224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.91/10.26 % (1178224)CaDiCaL version: 2.1.3
% 69.91/10.26 % (1178224)Termination reason: Instruction limit
% 69.91/10.26 % (1178224)Termination phase: Saturation
% 69.91/10.26 % (1178224)Time elapsed: 0.451 s
% 69.91/10.26 % (1178224)Peak memory usage: 21 MB
% 69.91/10.26 % (1178224)Instructions burned: 693 (million)
% 69.91/10.26 % (1178225)Instruction limit reached!
% 69.91/10.26 % (1178225)------------------------------
% 69.91/10.26 % (1178225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.91/10.26 % (1178225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.91/10.26 % (1178225)CaDiCaL version: 2.1.3
% 69.91/10.26 % (1178225)Termination reason: Instruction limit
% 69.91/10.26 % (1178225)Termination phase: Saturation
% 69.91/10.26 % (1178225)Time elapsed: 0.452 s
% 69.91/10.26 % (1178225)Peak memory usage: 21 MB
% 69.91/10.26 % (1178225)Instructions burned: 880 (million)
% 69.91/10.26 % (1178230)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=141068581:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 69.91/10.26 % (1178231)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3762008826:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 69.91/10.26 % (1178220)Instruction limit reached!
% 69.91/10.26 % (1178220)------------------------------
% 69.91/10.26 % (1178220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.91/10.26 % (1178220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.91/10.26 % (1178220)CaDiCaL version: 2.1.3
% 69.91/10.26 % (1178220)Termination reason: Instruction limit
% 69.91/10.26 % (1178220)Termination phase: Saturation
% 69.91/10.26 % (1178220)Time elapsed: 0.753 s
% 69.91/10.26 % (1178220)Peak memory usage: 22 MB
% 69.91/10.26 % (1178220)Instructions burned: 1180 (million)
% 69.91/10.26 % (1178234)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3033757277:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 69.91/10.26 % TRYING [3]
% 69.91/10.26 % (1178230)Cannot represent all propositional literals internally
% 69.91/10.26 % (1178230)Refutation not found, incomplete strategy
% 69.91/10.26 % (1178230)------------------------------
% 69.91/10.26 % (1178230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.91/10.26 % (1178230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.91/10.26 % (1178230)CaDiCaL version: 2.1.3
% 69.91/10.26 % (1178230)Termination reason: Refutation not found, incomplete strategy
% 69.91/10.26 % (1178230)Time elapsed: 0.317 s
% 69.91/10.26 % (1178230)Peak memory usage: 23 MB
% 69.91/10.26 % (1178230)Instructions burned: 639 (million)
% 69.91/10.26 % (1178230)------------------------------
% 69.91/10.26 % (1178230)------------------------------
% 69.91/10.26 % TRYING [8]
% 69.91/10.26 % (1178236)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2944156240:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 69.91/10.26 % (1178231)Instruction limit reached!
% 69.91/10.26 % (1178231)------------------------------
% 69.91/10.26 % (1178231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.91/10.26 % (1178231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.91/10.26 % (1178231)CaDiCaL version: 2.1.3
% 69.91/10.26 % (1178231)Termination reason: Instruction limit
% 69.91/10.26 % (1178231)Termination phase: Finite model building constraint generation
% 69.91/10.26 % (1178231)Time elapsed: 0.411 s
% 69.91/10.26 % (1178231)Peak memory usage: 41 MB
% 69.91/10.26 % (1178231)Instructions burned: 920 (million)
% 69.91/10.26 % (1178238)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2680105476:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 69.91/10.26 % TRYING [4]
% 69.91/10.26 % (1178238)Cannot represent all propositional literals internally
% 186.27/26.64 % (1178238)Refutation not found, incomplete strategy
% 186.27/26.64 % (1178238)------------------------------
% 186.27/26.64 % (1178238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.27/26.64 % (1178238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.27/26.64 % (1178238)CaDiCaL version: 2.1.3
% 186.27/26.64 % (1178238)Termination reason: Refutation not found, incomplete strategy
% 186.27/26.64 % (1178238)Time elapsed: 0.335 s
% 186.27/26.64 % (1178238)Peak memory usage: 23 MB
% 186.27/26.64 % (1178238)Instructions burned: 680 (million)
% 186.27/26.64 % (1178238)------------------------------
% 186.27/26.64 % (1178238)------------------------------
% 186.27/26.64 % (1178240)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1705728003:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 186.27/26.64 % (1178236)Instruction limit reached!
% 186.27/26.64 % (1178236)------------------------------
% 186.27/26.64 % (1178236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.27/26.64 % (1178236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.27/26.64 % (1178236)CaDiCaL version: 2.1.3
% 186.27/26.64 % (1178236)Termination reason: Instruction limit
% 186.27/26.64 % (1178236)Termination phase: Saturation
% 186.27/26.64 % (1178236)Time elapsed: 0.732 s
% 186.27/26.64 % (1178236)Peak memory usage: 26 MB
% 186.27/26.64 % (1178236)Instructions burned: 1474 (million)
% 186.27/26.64 % (1178242)ott-2_1_sil=16000:newcnf=on:random_seed=2807560624:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2976 on theBenchmark for (2976ds/869Mi)
% 186.27/26.64 % (1178242)Instruction limit reached!
% 186.27/26.64 % (1178242)------------------------------
% 186.27/26.64 % (1178242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.27/26.64 % (1178242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.27/26.64 % (1178242)CaDiCaL version: 2.1.3
% 186.27/26.64 % (1178242)Termination reason: Instruction limit
% 186.27/26.64 % (1178242)Termination phase: Saturation
% 186.27/26.64 % (1178242)Time elapsed: 0.529 s
% 186.27/26.64 % (1178242)Peak memory usage: 19 MB
% 186.27/26.64 % (1178242)Instructions burned: 870 (million)
% 186.27/26.64 % (1178244)ott+10_1_sil=32000:tgt=ground:random_seed=419354016:i=5114:av=off_2971 on theBenchmark for (2971ds/5114Mi)
% 186.27/26.64 % (1178240)Instruction limit reached!
% 186.27/26.64 % (1178240)------------------------------
% 186.27/26.64 % (1178240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.27/26.64 % (1178240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.27/26.64 % (1178240)CaDiCaL version: 2.1.3
% 186.27/26.64 % (1178240)Termination reason: Instruction limit
% 186.27/26.64 % (1178240)Termination phase: Finite model building preprocessing
% 186.27/26.64 % (1178240)Time elapsed: 1.080 s
% 186.27/26.64 % (1178240)Peak memory usage: 42 MB
% 186.27/26.64 % (1178240)Instructions burned: 2176 (million)
% 186.27/26.64 % (1178246)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2935014014:i=54282_2968 on theBenchmark for (2968ds/54282Mi)
% 186.27/26.64 % TRYING [1]
% 186.27/26.64 % TRYING [2]
% 186.27/26.64 % TRYING [3]
% 186.27/26.64 % TRYING [4]
% 186.27/26.64 % (1178234)Instruction limit reached!
% 186.27/26.64 % (1178234)------------------------------
% 186.27/26.64 % (1178234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.27/26.64 % (1178234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.27/26.64 % (1178234)CaDiCaL version: 2.1.3
% 186.27/26.64 % (1178234)Termination reason: Instruction limit
% 186.27/26.64 % (1178234)Termination phase: Saturation
% 186.27/26.64 % (1178234)Time elapsed: 3.010 s
% 186.27/26.64 % (1178234)Peak memory usage: 38 MB
% 186.27/26.64 % (1178234)Instructions burned: 5132 (million)
% 186.27/26.64 % (1178248)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=60057959:i=3512:aac=none_2956 on theBenchmark for (2956ds/3512Mi)
% 186.27/26.64 % TRYING [4]
% 186.27/26.64 % (1178244)Instruction limit reached!
% 186.27/26.64 % (1178244)------------------------------
% 186.27/26.64 % (1178244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 186.27/26.64 % (1178244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 186.27/26.64 % (1178244)CaDiCaL version: 2.1.3
% 186.27/26.64 % (1178244)Termination reason: Instruction limit
% 186.27/26.64 % (1178244)Termination phase: Saturation
% 186.27/26.64 % (1178244)Time elapsed: 3.226 s
% 186.27/26.64 % (1178244)Peak memory usage: 40 MB
% 186.27/26.64 % (1178244)Instructions burned: 5115 (million)
% 186.27/26.64 % (1178250)dis+21_1_sil=32000:sas=cadical:random_seed=3329308116:i=3773:amm=off_2938 on theBenchmark for (2938ds/3773Mi)
% 121.94/32.53 % (1178228)Instruction limit reached!
% 121.94/32.53 % (1178228)------------------------------
% 121.94/32.53 % (1178228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178228)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178228)Termination reason: Instruction limit
% 121.94/32.53 % (1178228)Termination phase: Finite model building SAT solving
% 121.94/32.53 % (1178228)Time elapsed: 5.399 s
% 121.94/32.53 % (1178228)Peak memory usage: 595 MB
% 121.94/32.53 % (1178228)Instructions burned: 22064 (million)
% 121.94/32.53 % (1178252)ott+11_1_sil=16000:gs=on:random_seed=4000672414:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2935 on theBenchmark for (2935ds/2251Mi)
% 121.94/32.53 % (1178248)Instruction limit reached!
% 121.94/32.53 % (1178248)------------------------------
% 121.94/32.53 % (1178248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178248)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178248)Termination reason: Instruction limit
% 121.94/32.53 % (1178248)Termination phase: Saturation
% 121.94/32.53 % (1178248)Time elapsed: 2.086 s
% 121.94/32.53 % (1178248)Peak memory usage: 35 MB
% 121.94/32.53 % (1178248)Instructions burned: 3513 (million)
% 121.94/32.53 % (1178254)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1394046852:fmbsr=1.6:i=67534_2935 on theBenchmark for (2935ds/67534Mi)
% 121.94/32.53 % TRYING [5]
% 121.94/32.53 % (1178252)Instruction limit reached!
% 121.94/32.53 % (1178252)------------------------------
% 121.94/32.53 % (1178252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178252)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178252)Termination reason: Instruction limit
% 121.94/32.53 % (1178252)Termination phase: Saturation
% 121.94/32.53 % (1178252)Time elapsed: 0.696 s
% 121.94/32.53 % (1178252)Peak memory usage: 27 MB
% 121.94/32.53 % (1178252)Instructions burned: 2252 (million)
% 121.94/32.53 % (1178256)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2693206686:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2928 on theBenchmark for (2928ds/4591Mi)
% 121.94/32.53 % (1178250)Instruction limit reached!
% 121.94/32.53 % (1178250)------------------------------
% 121.94/32.53 % (1178250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178250)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178250)Termination reason: Instruction limit
% 121.94/32.53 % (1178250)Termination phase: Saturation
% 121.94/32.53 % (1178250)Time elapsed: 2.229 s
% 121.94/32.53 % (1178250)Peak memory usage: 38 MB
% 121.94/32.53 % (1178250)Instructions burned: 3774 (million)
% 121.94/32.53 % (1178258)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1560542775:i=29340_2916 on theBenchmark for (2916ds/29340Mi)
% 121.94/32.53 % (1178256)Instruction limit reached!
% 121.94/32.53 % (1178256)------------------------------
% 121.94/32.53 % (1178256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178256)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178256)Termination reason: Instruction limit
% 121.94/32.53 % (1178256)Termination phase: Saturation
% 121.94/32.53 % (1178256)Time elapsed: 1.401 s
% 121.94/32.53 % (1178256)Peak memory usage: 71 MB
% 121.94/32.53 % (1178256)Instructions burned: 4593 (million)
% 121.94/32.53 % (1178260)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=241423032:i=5211_2914 on theBenchmark for (2914ds/5211Mi)
% 121.94/32.53 % (1178260)Instruction limit reached!
% 121.94/32.53 % (1178260)------------------------------
% 121.94/32.53 % (1178260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178260)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178260)Termination reason: Instruction limit
% 121.94/32.53 % (1178260)Termination phase: Saturation
% 121.94/32.53 % (1178260)Time elapsed: 1.404 s
% 121.94/32.53 % (1178260)Peak memory usage: 44 MB
% 121.94/32.53 % (1178260)Instructions burned: 5213 (million)
% 121.94/32.53 % TRYING [5]
% 121.94/32.53 % (1178262)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=3692071195:i=5497:nm=2_2900 on theBenchmark for (2900ds/5497Mi)
% 121.94/32.53 % (1178262)Cannot represent all propositional literals internally
% 121.94/32.53 % (1178262)Refutation not found, incomplete strategy
% 121.94/32.53 % (1178262)------------------------------
% 121.94/32.53 % (1178262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178262)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178262)Termination reason: Refutation not found, incomplete strategy
% 121.94/32.53 % (1178262)Time elapsed: 0.172 s
% 121.94/32.53 % (1178262)Peak memory usage: 23 MB
% 121.94/32.53 % (1178262)Instructions burned: 654 (million)
% 121.94/32.53 % (1178262)------------------------------
% 121.94/32.53 % (1178262)------------------------------
% 121.94/32.53 % (1178264)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1478884879:fmbsr=2:i=46332_2898 on theBenchmark for (2898ds/46332Mi)
% 121.94/32.53 % TRYING [15]
% 121.94/32.53 % TRYING [7]
% 121.94/32.53 % (1178264)Instruction limit reached!
% 121.94/32.53 % (1178264)------------------------------
% 121.94/32.53 % (1178264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178264)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178264)Termination reason: Instruction limit
% 121.94/32.53 % (1178264)Termination phase: Finite model building constraint generation
% 121.94/32.53 % (1178264)Time elapsed: 8.419 s
% 121.94/32.53 % (1178264)Peak memory usage: 2294 MB
% 121.94/32.53 % (1178264)Instructions burned: 46335 (million)
% 121.94/32.53 % (1178266)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=1581422484:i=14071_2812 on theBenchmark for (2812ds/14071Mi)
% 121.94/32.53 % TRYING [12]
% 121.94/32.53 % (1178266)Instruction limit reached!
% 121.94/32.53 % (1178266)------------------------------
% 121.94/32.53 % (1178266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178266)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178266)Termination reason: Instruction limit
% 121.94/32.53 % (1178266)Termination phase: Finite model building constraint generation
% 121.94/32.53 % (1178266)Time elapsed: 2.618 s
% 121.94/32.53 % (1178266)Peak memory usage: 706 MB
% 121.94/32.53 % (1178266)Instructions burned: 14074 (million)
% 121.94/32.53 % (1178268)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1730841012:i=22565:add=on:rawr=on_2785 on theBenchmark for (2785ds/22565Mi)
% 121.94/32.53 % (1178258)Instruction limit reached!
% 121.94/32.53 % (1178258)------------------------------
% 121.94/32.53 % (1178258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178258)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178258)Termination reason: Instruction limit
% 121.94/32.53 % (1178258)Termination phase: Saturation
% 121.94/32.53 % (1178258)Time elapsed: 14.234 s
% 121.94/32.53 % (1178258)Peak memory usage: 203 MB
% 121.94/32.53 % (1178258)Instructions burned: 29341 (million)
% 121.94/32.53 % (1178270)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3275298138:i=8173:av=off_2773 on theBenchmark for (2773ds/8173Mi)
% 121.94/32.53 % (1178246)Instruction limit reached!
% 121.94/32.53 % (1178246)------------------------------
% 121.94/32.53 % (1178246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178246)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178246)Termination reason: Instruction limit
% 121.94/32.53 % (1178246)Termination phase: Finite model building constraint generation
% 121.94/32.53 % (1178246)Time elapsed: 20.908 s
% 121.94/32.53 % (1178246)Peak memory usage: 2313 MB
% 121.94/32.53 % (1178246)Instructions burned: 54284 (million)
% 121.94/32.53 % (1178272)dis+10_16:1_sil=16000:random_seed=2643153215:i=9155:fsr=off_2755 on theBenchmark for (2755ds/9155Mi)
% 121.94/32.53 % (1178268)Instruction limit reached!
% 121.94/32.53 % (1178268)------------------------------
% 121.94/32.53 % (1178268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178268)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178268)Termination reason: Instruction limit
% 121.94/32.53 % (1178268)Termination phase: Saturation
% 121.94/32.53 % (1178268)Time elapsed: 4.898 s
% 121.94/32.53 % (1178268)Peak memory usage: 58 MB
% 121.94/32.53 % (1178268)Instructions burned: 22568 (million)
% 121.94/32.53 % (1178274)ott-3_8_sil=64000:random_seed=534284027:i=20139:bs=on_2736 on theBenchmark for (2736ds/20139Mi)
% 121.94/32.53 % (1178270)Instruction limit reached!
% 121.94/32.53 % (1178270)------------------------------
% 121.94/32.53 % (1178270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178270)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178270)Termination reason: Instruction limit
% 121.94/32.53 % (1178270)Termination phase: Saturation
% 121.94/32.53 % (1178270)Time elapsed: 5.367 s
% 121.94/32.53 % (1178270)Peak memory usage: 61 MB
% 121.94/32.53 % (1178270)Instructions burned: 8173 (million)
% 121.94/32.53 % (1178276)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=3521341923:fmbsr=2:i=32576_2719 on theBenchmark for (2719ds/32576Mi)
% 121.94/32.53 % TRYING [9]
% 121.94/32.53 % (1178272)Instruction limit reached!
% 121.94/32.53 % (1178272)------------------------------
% 121.94/32.53 % (1178272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178272)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178272)Termination reason: Instruction limit
% 121.94/32.53 % (1178272)Termination phase: Saturation
% 121.94/32.53 % (1178272)Time elapsed: 4.822 s
% 121.94/32.53 % (1178272)Peak memory usage: 74 MB
% 121.94/32.53 % (1178272)Instructions burned: 9156 (million)
% 121.94/32.53 % (1178278)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=900754264:i=11404_2707 on theBenchmark for (2707ds/11404Mi)
% 121.94/32.53 % (1178254)Instruction limit reached!
% 121.94/32.53 % (1178254)------------------------------
% 121.94/32.53 % (1178254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178254)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178254)Termination reason: Instruction limit
% 121.94/32.53 % (1178254)Termination phase: Finite model building constraint generation
% 121.94/32.53 % (1178254)Time elapsed: 23.033 s
% 121.94/32.53 % (1178254)Peak memory usage: 3446 MB
% 121.94/32.53 % (1178254)Instructions burned: 67534 (million)
% 121.94/32.53 % (1178280)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=3241190737:i=14134_2700 on theBenchmark for (2700ds/14134Mi)
% 121.94/32.53 % (1178278) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1178189-1178278"...
% 121.94/32.53 % (1178278)...printing done.
% 121.94/32.53 % (1178278)Refutation found. Thanks to Tanya!
% 121.94/32.53 % SZS status Theorem for theBenchmark
% 121.94/32.53 % SZS output start Proof for theBenchmark
% See solution above
% 121.94/32.53 % (1178278)------------------------------
% 121.94/32.53 % (1178278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 121.94/32.53 % (1178278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 121.94/32.53 % (1178278)CaDiCaL version: 2.1.3
% 121.94/32.53 % (1178278)Termination reason: Refutation
% 121.94/32.53 % (1178278)Time elapsed: 2.585 s
% 121.94/32.53 % (1178278)Peak memory usage: 44 MB
% 121.94/32.53 % (1178278)Instructions burned: 3885 (million)
% 121.94/32.53 % (1178189)Success in time 32.246 s
% 121.94/32.53 % Vampire exiting
%------------------------------------------------------------------------------