%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW285+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:39:45 PM UTC 2026
% Result : ContradictoryAxioms 3.29s 0.76s
% Output : Refutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 122 ( 34 unt; 3 def)
% Number of atoms : 250 ( 97 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 230 ( 102 ~; 96 |; 10 &)
% ( 7 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-3 aty)
% Number of variables : 136 ( 0 sgn 136 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pe) ).
fof(f31,axiom,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_r) ).
fof(f67,axiom,
! [X0] :
( class_Groups_Ozero(X0)
=> c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_degree__0) ).
fof(f90,axiom,
! [X0,X1] :
( class_Groups_Ozero(X1)
=> c_Polynomial_Omonom(X1,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_monom__0) ).
fof(f141,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> ( c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
=> X0 = c_Groups_Ozero__class_Ozero(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__0__left) ).
fof(f150,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_dvd__triv__left) ).
fof(f195,axiom,
! [X0,X1] :
( class_Groups_Ozero(X1)
=> ( ( X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
=> c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
& ( X0 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
=> c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) = c_Nat_OSuc(c_Polynomial_Odegree(X1,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_psize__def) ).
fof(f232,axiom,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(f234,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/sandbox2/benchmark/theBenchmark.p',fact_one__poly__def) ).
fof(f278,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__1(X1)
=> hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) ).
fof(f419,axiom,
! [X0,X1,X2] :
( class_Fields_Ofield(X2)
=> ( c_Polynomial_Opoly__gcd(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__gcd__zero__iff) ).
fof(f423,axiom,
! [X0,X1] :
( class_Fields_Ofield(X1)
=> c_Polynomial_Opoly__gcd(X1,X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__gcd__1__right) ).
fof(f492,axiom,
! [X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
<=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_not__less__eq) ).
fof(f503,axiom,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__imp__diff__less) ).
fof(f509,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
=> X1 != X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__not__refl3) ).
fof(f633,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
<=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__bin__lemma) ).
fof(f1101,axiom,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).
fof(f1118,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Fields_Ofield) ).
fof(f1120,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(f1151,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__1(X0)
=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ocomm__semiring__1) ).
fof(f1297,plain,
! [X0] :
( c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| ~ class_Groups_Ozero(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f1327,plain,
! [X0,X1] :
( c_Polynomial_Omonom(X1,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))
| ~ class_Groups_Ozero(X1) ),
inference(ennf_transformation,[],[f90]) ).
fof(f1387,plain,
! [X0,X1] :
( X0 = c_Groups_Ozero__class_Ozero(X1)
| ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f141]) ).
fof(f1388,plain,
! [X0,X1] :
( X0 = c_Groups_Ozero__class_Ozero(X1)
| ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(flattening,[],[f1387]) ).
fof(f1404,plain,
! [X0,X1,X2] :
( c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f150]) ).
fof(f1429,plain,
! [X0,X1] :
( ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0 )
& ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) = c_Nat_OSuc(c_Polynomial_Odegree(X1,X0))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0 ) )
| ~ class_Groups_Ozero(X1) ),
inference(ennf_transformation,[],[f195]) ).
fof(f1477,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,[],[f234]) ).
fof(f1502,plain,
! [X0,X1] :
( hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(X1)
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(ennf_transformation,[],[f278]) ).
fof(f1614,plain,
! [X0,X1,X2] :
( ( c_Polynomial_Opoly__gcd(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) )
| ~ class_Fields_Ofield(X2) ),
inference(ennf_transformation,[],[f419]) ).
fof(f1619,plain,
! [X0,X1] :
( c_Polynomial_Opoly__gcd(X1,X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))
| ~ class_Fields_Ofield(X1) ),
inference(ennf_transformation,[],[f423]) ).
fof(f1693,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),X1)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(ennf_transformation,[],[f503]) ).
fof(f1697,plain,
! [X0,X1] :
( X1 != X0
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
inference(ennf_transformation,[],[f509]) ).
fof(f2318,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(ennf_transformation,[],[f1151]) ).
fof(f2472,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_Opoly__gcd(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0 )
& ( ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) )
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_Opoly__gcd(X2,X1,X0) ) )
| ~ class_Fields_Ofield(X2) ),
inference(nnf_transformation,[],[f1614]) ).
fof(f2473,plain,
! [X0,X1,X2] :
( ( ( c_Polynomial_Opoly__gcd(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X0 )
& ( ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
& X0 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) )
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_Opoly__gcd(X2,X1,X0) ) )
| ~ class_Fields_Ofield(X2) ),
inference(flattening,[],[f2472]) ).
fof(f2494,plain,
! [X0,X1] :
( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1)) )
& ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ) ),
inference(nnf_transformation,[],[f492]) ).
fof(f2559,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
& ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
| ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ) ),
inference(nnf_transformation,[],[f633]) ).
fof(f2643,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(cnf_transformation,[],[f2]) ).
fof(f2694,plain,
hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____),
inference(cnf_transformation,[],[f31]) ).
fof(f2735,plain,
! [X0] :
( ~ class_Groups_Ozero(X0)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X0))) ),
inference(cnf_transformation,[],[f1297]) ).
fof(f2762,plain,
! [X0,X1] :
( ~ class_Groups_Ozero(X1)
| c_Polynomial_OpCons(X1,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) = c_Polynomial_Omonom(X1,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
inference(cnf_transformation,[],[f1327]) ).
fof(f2831,plain,
! [X0,X1] :
( ~ c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| c_Groups_Ozero__class_Ozero(X1) = X0
| ~ class_Rings_Ocomm__semiring__1(X1) ),
inference(cnf_transformation,[],[f1388]) ).
fof(f2840,plain,
! [X2,X0,X1] :
( c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f1404]) ).
fof(f2904,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) != X0
| ~ class_Groups_Ozero(X1) ),
inference(cnf_transformation,[],[f1429]) ).
fof(f2961,plain,
! [X0] : c_Nat_OSuc(X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X0,c_Groups_Oone__class_Oone(tc_Nat_Onat)),
inference(cnf_transformation,[],[f232]) ).
fof(f2963,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,[],[f1477]) ).
fof(f3028,plain,
! [X0,X1] :
( ~ class_Rings_Ocomm__semiring__1(X1)
| c_Groups_Oone__class_Oone(X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ),
inference(cnf_transformation,[],[f1502]) ).
fof(f3208,plain,
! [X2,X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != c_Polynomial_Opoly__gcd(X2,X1,X0)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Fields_Ofield(X2) ),
inference(cnf_transformation,[],[f2473]) ).
fof(f3215,plain,
! [X0,X1] :
( ~ class_Fields_Ofield(X1)
| c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)) = c_Polynomial_Opoly__gcd(X1,X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))) ),
inference(cnf_transformation,[],[f1619]) ).
fof(f3310,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Nat_OSuc(X1))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
inference(cnf_transformation,[],[f2494]) ).
fof(f3323,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X0),X1)
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1) ),
inference(cnf_transformation,[],[f1693]) ).
fof(f3331,plain,
! [X0,X1] :
( X0 != X1
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
inference(cnf_transformation,[],[f1697]) ).
fof(f3525,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X0),c_Groups_Ozero__class_Ozero(tc_Int_Oint))
| ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X0) ),
inference(cnf_transformation,[],[f2559]) ).
fof(f4081,plain,
class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1101]) ).
fof(f4098,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1118]) ).
fof(f4100,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1120]) ).
fof(f4131,plain,
! [X0] :
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f2318]) ).
fof(f4245,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) ),
inference(definition_unfolding,[],[f3310,f2961]) ).
fof(f4338,plain,
! [X1] :
( ~ class_Groups_Ozero(X1)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))) ),
inference(equality_resolution,[],[f2904]) ).
fof(f4423,plain,
! [X1] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1),
inference(equality_resolution,[],[f3331]) ).
fof(f4642,definition,
( spl29_7
<=> class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f4643,plain,
( class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f4642]) ).
fof(f4644,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl29_7 ),
inference(avatar_component_clause,[],[f4642]) ).
fof(f4649,plain,
( ~ class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
| spl29_7 ),
inference(resolution,[],[f4644,f4131]) ).
fof(f4650,plain,
( $false
| spl29_7 ),
inference(forward_subsumption_resolution,[],[f4649,f4081]) ).
fof(f4651,plain,
spl29_7,
inference(avatar_contradiction_clause,[],[f4650]) ).
fof(f4884,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(resolution,[],[f2735,f4100]) ).
fof(f4888,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),
inference(forward_demodulation,[],[f4884,f2643]) ).
fof(f4990,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(resolution,[],[f4338,f4100]) ).
fof(f4994,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p),
inference(forward_demodulation,[],[f4990,f2643]) ).
fof(f5071,plain,
! [X0] :
( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0)
| v_p = X0
| ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(superposition,[],[f2831,f2643]) ).
fof(f5076,plain,
( ! [X0] :
( ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,X0)
| v_p = X0 )
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f5071,f4643]) ).
fof(f5094,plain,
( ! [X0] :
( ~ class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X0) )
| ~ spl29_7 ),
inference(resolution,[],[f2840,f5076]) ).
fof(f5104,plain,
( ! [X0] : v_p = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X0)
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f5094,f4643]) ).
fof(f5299,plain,
! [X0,X1] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X0,X1)),
inference(resolution,[],[f3323,f4423]) ).
fof(f5946,plain,
( ! [X0] : c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
| ~ spl29_7 ),
inference(resolution,[],[f3028,f4643]) ).
fof(f5952,plain,
( ! [X0] : c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X0),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p))
| ~ spl29_7 ),
inference(forward_demodulation,[],[f5946,f4994]) ).
fof(f6179,plain,
! [X0] : c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_Opoly__gcd(tc_Complex_Ocomplex,X0,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))),
inference(resolution,[],[f3215,f4098]) ).
fof(f6844,plain,
c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = 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))),
inference(resolution,[],[f2963,f4081]) ).
fof(f6851,plain,
c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_p),
inference(forward_demodulation,[],[f6844,f2643]) ).
fof(f8302,plain,
! [X0] : c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Polynomial_Omonom(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(resolution,[],[f2762,f4100]) ).
fof(f8309,plain,
! [X0] : c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) = c_Polynomial_Omonom(tc_Complex_Ocomplex,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)),
inference(forward_demodulation,[],[f8302,f4994]) ).
fof(f8310,plain,
! [X0] : c_Polynomial_OpCons(tc_Complex_Ocomplex,X0,v_p) = c_Polynomial_Omonom(tc_Complex_Ocomplex,X0,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)),
inference(forward_demodulation,[],[f8309,f2643]) ).
fof(f12185,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0
| ~ class_Fields_Ofield(tc_Complex_Ocomplex) ),
inference(superposition,[],[f3208,f6179]) ).
fof(f12190,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 ),
inference(forward_subsumption_resolution,[],[f12185,f4098]) ).
fof(f12195,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_p)
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 ),
inference(forward_demodulation,[],[f12190,f6851]) ).
fof(f12197,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 ),
inference(forward_demodulation,[],[f12195,f8310]) ).
fof(f12199,plain,
! [X0] :
( v_p != c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = X0 ),
inference(forward_demodulation,[],[f12197,f2643]) ).
fof(f12200,plain,
! [X0] :
( v_p = X0
| v_p != c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)) ),
inference(forward_demodulation,[],[f12199,f2643]) ).
fof(f12202,definition,
( spl29_184
<=> v_p = c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)) ),
introduced(definition,[new_symbols(definition,[spl29_184])],[avatar_definition]) ).
fof(f12204,plain,
( v_p != c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p))
| spl29_184 ),
inference(avatar_component_clause,[],[f12202]) ).
fof(f12206,definition,
( spl29_185
<=> ! [X0] : v_p = X0 ),
introduced(definition,[new_symbols(definition,[spl29_185])],[avatar_definition]) ).
fof(f12207,plain,
( ! [X0] : v_p = X0
| ~ spl29_185 ),
inference(avatar_component_clause,[],[f12206]) ).
fof(f12208,plain,
( ~ spl29_184
| spl29_185 ),
inference(avatar_split_clause,[],[f12200,f12206,f12202]) ).
fof(f17408,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
inference(superposition,[],[f2694,f4888]) ).
fof(f17413,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)),
inference(forward_demodulation,[],[f17408,f4994]) ).
fof(f17417,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl29_7 ),
inference(forward_demodulation,[],[f17413,f5952]) ).
fof(f17421,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____) = c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),v_p)
| ~ spl29_7 ),
inference(forward_demodulation,[],[f17417,f6851]) ).
fof(f17424,plain,
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____) = c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p))
| ~ spl29_7 ),
inference(forward_demodulation,[],[f17421,f8310]) ).
fof(f17427,plain,
( v_p = c_Polynomial_Omonom(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p))
| ~ spl29_7 ),
inference(forward_demodulation,[],[f17424,f5104]) ).
fof(f17431,plain,
( $false
| ~ spl29_7
| spl29_184 ),
inference(forward_subsumption_resolution,[],[f17427,f12204]) ).
fof(f17432,plain,
( ~ spl29_7
| spl29_184 ),
inference(avatar_contradiction_clause,[],[f17431]) ).
fof(f19216,plain,
( ! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,v_p))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) )
| ~ spl29_185 ),
inference(superposition,[],[f4245,f12207]) ).
fof(f19325,plain,
( ! [X0,X1] :
( c_Orderings_Oord__class_Oless(v_p,c_Groups_Ominus__class_Ominus(v_p,X0,X1),c_Groups_Ozero__class_Ozero(v_p))
| ~ c_Orderings_Oord__class_Oless(v_p,X0,X1) )
| ~ spl29_185 ),
inference(superposition,[],[f3525,f12207]) ).
fof(f19709,plain,
( ! [X0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,v_p)
| ~ spl29_185 ),
inference(superposition,[],[f5299,f12207]) ).
fof(f19887,plain,
( ! [X0] : ~ c_Orderings_Oord__class_Oless(v_p,X0,v_p)
| ~ spl29_185 ),
inference(forward_demodulation,[],[f19709,f12207]) ).
fof(f20168,plain,
( ! [X0,X1] :
( c_Orderings_Oord__class_Oless(v_p,c_Groups_Ominus__class_Ominus(v_p,X0,X1),v_p)
| ~ c_Orderings_Oord__class_Oless(v_p,X0,X1) )
| ~ spl29_185 ),
inference(forward_demodulation,[],[f19325,f12207]) ).
fof(f20271,plain,
( ! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X0,v_p)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) )
| ~ spl29_185 ),
inference(forward_demodulation,[],[f19216,f12207]) ).
fof(f21655,plain,
( ! [X0,X1] : ~ c_Orderings_Oord__class_Oless(v_p,X0,X1)
| ~ spl29_185 ),
inference(forward_subsumption_resolution,[],[f20168,f19887]) ).
fof(f21714,plain,
( ! [X0,X1] :
( c_Orderings_Oord__class_Oless(v_p,X0,v_p)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0) )
| ~ spl29_185 ),
inference(forward_demodulation,[],[f20271,f12207]) ).
fof(f22061,plain,
( ! [X0,X1] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X0)
| ~ spl29_185 ),
inference(forward_subsumption_resolution,[],[f21714,f21655]) ).
fof(f22151,plain,
( ! [X0,X1] : c_Orderings_Oord__class_Oless(v_p,X1,X0)
| ~ spl29_185 ),
inference(forward_demodulation,[],[f22061,f12207]) ).
fof(f22174,plain,
( $false
| ~ spl29_185 ),
inference(forward_subsumption_resolution,[],[f22151,f21655]) ).
fof(f22175,plain,
~ spl29_185,
inference(avatar_contradiction_clause,[],[f22174]) ).
cnf(s7,plain,
spl29_7,
inference(sat_conversion,[],[f4651]) ).
cnf(s149,plain,
( ~ spl29_184
| spl29_185 ),
inference(sat_conversion,[],[f12208]) ).
cnf(s229,plain,
( ~ spl29_7
| spl29_184 ),
inference(sat_conversion,[],[f17432]) ).
cnf(s448,plain,
~ spl29_185,
inference(sat_conversion,[],[f22175]) ).
cnf(s457,plain,
~ spl29_184,
inference(rat,[],[s149,s448]) ).
cnf(s458,plain,
~ spl29_7,
inference(rat,[],[s229,s457]) ).
cnf(s482,plain,
$false,
inference(rat,[],[s7,s458]) ).
fof(f22187,plain,
$false,
inference(avatar_sat_refutation,[],[s482]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW285+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n015.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 13:33:17 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.29/0.76 % (2628593)Will run a generic schedule for satisfiability detection.
% 3.29/0.76 % (2628604)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3344991931:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.29/0.76 % (2628599)% WARNING: option uhcvi not known.
% 3.29/0.76 % (2628599)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1833594015:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.29/0.76 % (2628598)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3918585969_2999 on theBenchmark for (2999ds/0Mi)
% 3.29/0.76 % (2628601)dis+10_1_sil=32000:sp=arity:random_seed=1713833523:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.29/0.76 % (2628600)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4182389401:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.29/0.76 % (2628602)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2731626027:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.29/0.76 % (2628603)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2457901803:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.29/0.76 % (2628604)Instruction limit reached!
% 3.29/0.76 % (2628604)------------------------------
% 3.29/0.76 % (2628604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.76 % (2628604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.76 % (2628604)CaDiCaL version: 2.1.3
% 3.29/0.76 % (2628604)Termination reason: Instruction limit
% 3.29/0.76 % (2628604)Termination phase: Saturation
% 3.29/0.76 % (2628604)Time elapsed: 0.049 s
% 3.29/0.76 % (2628604)Peak memory usage: 15 MB
% 3.29/0.76 % (2628604)Instructions burned: 159 (million)
% 3.29/0.76 % (2628612)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2399586740:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.29/0.76 % (2628601)Instruction limit reached!
% 3.29/0.76 % (2628601)------------------------------
% 3.29/0.76 % (2628601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.76 % (2628601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.76 % (2628601)CaDiCaL version: 2.1.3
% 3.29/0.76 % (2628601)Termination reason: Instruction limit
% 3.29/0.76 % (2628601)Termination phase: Saturation
% 3.29/0.76 % (2628601)Time elapsed: 0.054 s
% 3.29/0.76 % (2628601)Peak memory usage: 14 MB
% 3.29/0.76 % (2628601)Instructions burned: 104 (million)
% 3.29/0.76 % (2628602)Instruction limit reached!
% 3.29/0.76 % (2628602)------------------------------
% 3.29/0.76 % (2628602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.76 % (2628602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.76 % (2628602)CaDiCaL version: 2.1.3
% 3.29/0.76 % (2628602)Termination reason: Instruction limit
% 3.29/0.76 % (2628602)Termination phase: Saturation
% 3.29/0.76 % (2628602)Time elapsed: 0.057 s
% 3.29/0.76 % (2628602)Peak memory usage: 14 MB
% 3.29/0.76 % (2628602)Instructions burned: 117 (million)
% 3.29/0.76 % (2628603)Instruction limit reached!
% 3.29/0.76 % (2628603)------------------------------
% 3.29/0.76 % (2628603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.76 % (2628603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.76 % (2628603)CaDiCaL version: 2.1.3
% 3.29/0.76 % (2628603)Termination reason: Instruction limit
% 3.29/0.76 % (2628603)Termination phase: Saturation
% 3.29/0.76 % (2628603)Time elapsed: 0.067 s
% 3.29/0.76 % (2628603)Peak memory usage: 15 MB
% 3.29/0.76 % (2628603)Instructions burned: 132 (million)
% 3.29/0.76 % (2628614)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1802733242:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 3.29/0.76 % (2628615)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=897079150:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 3.29/0.76 % (2628616)ott-21_1_sil=16000:fs=off:random_seed=481493771:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 3.29/0.76 % (2628614)Instruction limit reached!
% 3.29/0.76 % (2628614)------------------------------
% 3.29/0.76 % (2628614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.76 % (2628614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.76 % (2628614)CaDiCaL version: 2.1.3
% 3.29/0.76 % (2628614)Termination reason: Instruction limit
% 3.29/0.76 % (2628614)Termination phase: Saturation
% 3.29/0.76 % (2628614)Time elapsed: 0.065 s
% 3.29/0.76 % (2628614)Peak memory usage: 14 MB
% 3.29/0.76 % (2628614)Instructions burned: 132 (million)
% 3.29/0.76 % (2628620)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1454120324:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.29/0.76 % (2628616)Instruction limit reached!
% 3.29/0.76 % (2628616)------------------------------
% 3.29/0.76 % (2628616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.76 % (2628616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.76 % (2628616)CaDiCaL version: 2.1.3
% 3.29/0.76 % (2628616)Termination reason: Instruction limit
% 3.29/0.76 % (2628616)Termination phase: Saturation
% 3.29/0.76 % (2628616)Time elapsed: 0.090 s
% 3.29/0.76 % (2628616)Peak memory usage: 15 MB
% 3.29/0.76 % (2628616)Instructions burned: 181 (million)
% 3.29/0.76 % (2628622)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4135039896:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 3.29/0.76 % TRYING [1]
% 3.29/0.76 % TRYING [2]
% 3.29/0.76 % (2628612)Instruction limit reached!
% 3.29/0.76 % (2628612)------------------------------
% 3.29/0.76 % (2628612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.76 % (2628612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.76 % (2628612)CaDiCaL version: 2.1.3
% 3.29/0.76 % (2628612)Termination reason: Instruction limit
% 3.29/0.76 % (2628612)Termination phase: Finite model building constraint generation
% 3.29/0.76 % (2628612)Time elapsed: 0.178 s
% 3.29/0.76 % (2628612)Peak memory usage: 25 MB
% 3.29/0.76 % (2628612)Instructions burned: 718 (million)
% 3.29/0.76 % (2628624)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4061699743:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 3.29/0.76 % TRYING [1]
% 3.29/0.76 % TRYING [2]
% 3.29/0.76 % (2628620)Instruction limit reached!
% 3.29/0.76 % (2628620)------------------------------
% 3.29/0.76 % (2628620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.76 % (2628620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.76 % (2628620)CaDiCaL version: 2.1.3
% 3.29/0.76 % (2628620)Termination reason: Instruction limit
% 3.29/0.76 % (2628620)Termination phase: Saturation
% 3.29/0.76 % (2628620)Time elapsed: 0.289 s
% 3.29/0.76 % (2628620)Peak memory usage: 16 MB
% 3.29/0.76 % (2628620)Instructions burned: 477 (million)
% 3.29/0.76 % (2628626)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1838310352:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.29/0.76 % (2628624) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2628593-2628624"...
% 3.29/0.76 % (2628624)...printing done.
% 3.29/0.76 % (2628624)Refutation found. Thanks to Tanya!
% 3.29/0.76 % SZS status ContradictoryAxioms for theBenchmark
% 3.29/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 3.29/0.77 % (2628624)------------------------------
% 3.29/0.77 % (2628624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.29/0.77 % (2628624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/0.77 % (2628624)CaDiCaL version: 2.1.3
% 3.29/0.77 % (2628624)Termination reason: Refutation
% 3.29/0.77 % (2628624)Time elapsed: 0.233 s
% 3.29/0.77 % (2628624)Peak memory usage: 21 MB
% 3.29/0.77 % (2628624)Instructions burned: 664 (million)
% 3.29/0.77 % (2628593)Success in time 0.544 s
% 3.29/0.77 % Vampire exiting
%------------------------------------------------------------------------------