%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW189+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 01:29:48 PM UTC 2026
% Result : Theorem 5.86s 1.67s
% Output : Refutation 7.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 83 ( 14 unt; 4 def)
% Number of atoms : 188 ( 81 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 191 ( 86 ~; 87 |; 5 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 65 ( 0 sgn 62 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( class_Rings_Ocomm__semiring__0(X3)
=> hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_poly__offset__poly) ).
fof(f25,axiom,
! [X0,X1] :
( class_Rings_Ocomm__semiring__0(X1)
=> c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_offset__poly__0) ).
fof(f26,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_offset__poly__eq__0__iff) ).
fof(f183,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(f210,axiom,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__0(X2)
=> c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) = c_Polynomial_Odegree(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_degree__offset__poly) ).
fof(f229,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/sandbox/benchmark/theBenchmark.p',fact_psize__def) ).
fof(f572,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/sandbox/benchmark/theBenchmark.p',fact_Suc__eq__plus1) ).
fof(f1066,axiom,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
fof(f1085,axiom,
class_Groups_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ozero) ).
fof(f1150,conjecture,
? [X0] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
& ! [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1151,negated_conjecture,
~ ? [X0] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
& ! [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X1)) ),
inference(negated_conjecture,[status(cth)],[f1150]) ).
fof(f1215,plain,
! [X0] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
| ? [X1] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),X1) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,X1)) ),
inference(ennf_transformation,[],[f1151]) ).
fof(f1342,plain,
! [X0,X1,X2,X3] :
( hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f1343,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,[],[f229]) ).
fof(f1815,plain,
! [X0,X1,X2] :
( c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0)) = c_Polynomial_Odegree(X2,X1)
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f210]) ).
fof(f1818,plain,
! [X0,X1,X2] :
( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
<=> X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) )
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f1819,plain,
! [X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f1860,plain,
! [X0] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK3(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK3(X0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f1215]) ).
fof(f2038,plain,
! [X0,X1,X2] :
( ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) != X1 )
& ( X1 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ) )
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(nnf_transformation,[],[f1818]) ).
fof(f2044,plain,
! [X0] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK3(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK3(X0)))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,X0) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) ),
inference(cnf_transformation,[],[f1860]) ).
fof(f2075,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,[],[f183]) ).
fof(f2177,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,[],[f572]) ).
fof(f2281,plain,
! [X2,X3,X0,X1] :
( hAPP(c_Polynomial_Opoly(X3,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X1)),X0) = hAPP(c_Polynomial_Opoly(X3,X2),c_Groups_Oplus__class_Oplus(X3,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X3) ),
inference(cnf_transformation,[],[f1342]) ).
fof(f2282,plain,
! [X0,X1] :
( 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(cnf_transformation,[],[f1343]) ).
fof(f2287,plain,
class_Groups_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1085]) ).
fof(f2293,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1066]) ).
fof(f2860,plain,
! [X2,X0,X1] :
( c_Polynomial_Odegree(X2,X1) = c_Polynomial_Odegree(X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0))
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f1815]) ).
fof(f2863,plain,
! [X2,X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X0) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) = X1
| ~ class_Rings_Ocomm__semiring__0(X2) ),
inference(cnf_transformation,[],[f2038]) ).
fof(f2865,plain,
! [X0,X1] :
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X0)
| ~ class_Rings_Ocomm__semiring__0(X1) ),
inference(cnf_transformation,[],[f1819]) ).
fof(f2935,plain,
! [X0,X1] :
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X0) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X1,X0),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) = X0
| ~ class_Groups_Ozero(X1) ),
inference(definition_unfolding,[],[f2282,f2177]) ).
fof(f3217,plain,
! [X0,X1] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,sK3(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK3(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(superposition,[],[f2044,f2281]) ).
fof(f3232,plain,
! [X0,X1] :
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,sK3(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK3(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1))))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,X0,X1)) ),
inference(forward_subsumption_resolution,[],[f3217,f2293]) ).
fof(f3330,definition,
( spl16_11
<=> c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) ),
introduced(definition,[new_symbols(definition,[spl16_11])],[avatar_definition]) ).
fof(f3331,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f3332,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| spl16_11 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f3468,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)),
inference(equality_resolution,[],[f3232]) ).
fof(f3941,definition,
( spl16_47
<=> v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(definition,[new_symbols(definition,[spl16_47])],[avatar_definition]) ).
fof(f3942,plain,
( v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| spl16_47 ),
inference(avatar_component_clause,[],[f3941]) ).
fof(f3943,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ spl16_47 ),
inference(avatar_component_clause,[],[f3941]) ).
fof(f3953,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)
| ~ class_Groups_Ozero(tc_Complex_Ocomplex) ),
inference(superposition,[],[f3468,f2935]) ).
fof(f3954,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) ),
inference(forward_subsumption_resolution,[],[f3953,f2287]) ).
fof(f3955,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)))
| c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) ),
inference(forward_demodulation,[],[f3954,f2075]) ).
fof(f3957,definition,
( spl16_49
<=> c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a) ),
introduced(definition,[new_symbols(definition,[spl16_49])],[avatar_definition]) ).
fof(f3958,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)
| spl16_49 ),
inference(avatar_component_clause,[],[f3957]) ).
fof(f3959,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)
| ~ spl16_49 ),
inference(avatar_component_clause,[],[f3957]) ).
fof(f3961,definition,
( spl16_50
<=> c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a))) ),
introduced(definition,[new_symbols(definition,[spl16_50])],[avatar_definition]) ).
fof(f3963,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_a)))
| spl16_50 ),
inference(avatar_component_clause,[],[f3961]) ).
fof(f3964,plain,
( spl16_49
| ~ spl16_50 ),
inference(avatar_split_clause,[],[f3955,f3961,f3957]) ).
fof(f4034,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| spl16_50 ),
inference(superposition,[],[f3963,f2860]) ).
fof(f4035,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))
| spl16_50 ),
inference(forward_subsumption_resolution,[],[f4034,f2293]) ).
fof(f4071,plain,
( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p),c_Groups_Oone__class_Oone(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))
| v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Groups_Ozero(tc_Complex_Ocomplex)
| spl16_50 ),
inference(superposition,[],[f4035,f2935]) ).
fof(f4072,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Groups_Ozero(tc_Complex_Ocomplex)
| spl16_50 ),
inference(forward_subsumption_resolution,[],[f4071,f2075]) ).
fof(f4073,plain,
( ~ class_Groups_Ozero(tc_Complex_Ocomplex)
| spl16_47
| spl16_50 ),
inference(forward_subsumption_resolution,[],[f4072,f3942]) ).
fof(f4074,plain,
( $false
| spl16_47
| spl16_50 ),
inference(forward_subsumption_resolution,[],[f4073,f2287]) ).
fof(f4075,plain,
( spl16_47
| spl16_50 ),
inference(avatar_contradiction_clause,[],[f4074]) ).
fof(f4092,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| spl16_11
| ~ spl16_47 ),
inference(superposition,[],[f3332,f3943]) ).
fof(f4101,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_a)
| ~ spl16_47
| spl16_49 ),
inference(superposition,[],[f3958,f3943]) ).
fof(f4104,plain,
( $false
| spl16_11
| ~ spl16_47 ),
inference(trivial_inequality_removal,[],[f4092]) ).
fof(f4105,plain,
( spl16_11
| ~ spl16_47 ),
inference(avatar_contradiction_clause,[],[f4104]) ).
fof(f4251,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| ~ spl16_47
| spl16_49 ),
inference(superposition,[],[f4101,f2865]) ).
fof(f4254,plain,
( ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| ~ spl16_47
| spl16_49 ),
inference(trivial_inequality_removal,[],[f4251]) ).
fof(f4257,plain,
( $false
| ~ spl16_47
| spl16_49 ),
inference(forward_subsumption_resolution,[],[f4254,f2293]) ).
fof(f4258,plain,
( ~ spl16_47
| spl16_49 ),
inference(avatar_contradiction_clause,[],[f4257]) ).
fof(f4369,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK3(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a,sK3(c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))))
| c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ spl16_49 ),
inference(superposition,[],[f3232,f3959]) ).
fof(f4370,plain,
( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| ~ spl16_49 ),
inference(superposition,[],[f2863,f3959]) ).
fof(f4373,plain,
( v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| ~ spl16_49 ),
inference(trivial_inequality_removal,[],[f4370]) ).
fof(f4374,plain,
( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_p) != c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))
| ~ spl16_49 ),
inference(trivial_inequality_removal,[],[f4369]) ).
fof(f4377,plain,
( ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| spl16_47
| ~ spl16_49 ),
inference(forward_subsumption_resolution,[],[f4373,f3942]) ).
fof(f4378,plain,
( $false
| ~ spl16_11
| ~ spl16_49 ),
inference(forward_subsumption_resolution,[],[f4374,f3331]) ).
fof(f4379,plain,
( ~ spl16_11
| ~ spl16_49 ),
inference(avatar_contradiction_clause,[],[f4378]) ).
fof(f4382,plain,
( $false
| spl16_47
| ~ spl16_49 ),
inference(forward_subsumption_resolution,[],[f4377,f2293]) ).
fof(f4383,plain,
( spl16_47
| ~ spl16_49 ),
inference(avatar_contradiction_clause,[],[f4382]) ).
cnf(s65,plain,
( spl16_49
| ~ spl16_50 ),
inference(sat_conversion,[],[f3964]) ).
cnf(s66,plain,
( spl16_47
| spl16_50 ),
inference(sat_conversion,[],[f4075]) ).
cnf(s67,plain,
( spl16_11
| ~ spl16_47 ),
inference(sat_conversion,[],[f4105]) ).
cnf(s69,plain,
( ~ spl16_47
| spl16_49 ),
inference(sat_conversion,[],[f4258]) ).
cnf(s78,plain,
( ~ spl16_11
| ~ spl16_49 ),
inference(sat_conversion,[],[f4379]) ).
cnf(s80,plain,
( spl16_47
| ~ spl16_49 ),
inference(sat_conversion,[],[f4383]) ).
cnf(s104,plain,
spl16_47,
inference(rat,[],[s65,s66,s80]) ).
cnf(s105,plain,
spl16_49,
inference(rat,[],[s69,s104]) ).
cnf(s106,plain,
spl16_11,
inference(rat,[],[s67,s104]) ).
cnf(s107,plain,
$false,
inference(rat,[],[s78,s105,s106]) ).
fof(f4384,plain,
$false,
inference(avatar_sat_refutation,[],[s107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW189+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 13:17:16 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.86/1.67 % (2621133)Detected formulas, will run a generic FOF schedule.
% 5.86/1.67 % (2621138)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2981332906:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.86/1.67 % (2621141)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3676341638:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.86/1.67 % (2621142)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4073468212:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.86/1.67 % (2621143)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1913817901:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.86/1.67 % (2621140)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3312822556:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.86/1.67 % (2621139)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2389694186:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.86/1.67 % (2621144)dis-21_1_sil=8000:lcm=predicate:random_seed=3626876516:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.86/1.67 % (2621141)Refutation not found, incomplete strategy
% 5.86/1.67 % (2621141)------------------------------
% 5.86/1.67 % (2621141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621141)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621141)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.67 % (2621141)Time elapsed: 0.006 s
% 5.86/1.67 % (2621141)Peak memory usage: 89 MB
% 5.86/1.67 % (2621141)Instructions burned: 7 (million)
% 5.86/1.67 % (2621144)Instruction limit reached!
% 5.86/1.67 % (2621144)------------------------------
% 5.86/1.67 % (2621144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621144)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621144)Termination reason: Instruction limit
% 5.86/1.67 % (2621144)Termination phase: Saturation
% 5.86/1.67 % (2621144)Time elapsed: 0.070 s
% 5.86/1.67 % (2621144)Peak memory usage: 90 MB
% 5.86/1.67 % (2621144)Instructions burned: 130 (million)
% 5.86/1.67 % (2621142)Instruction limit reached!
% 5.86/1.67 % (2621142)------------------------------
% 5.86/1.67 % (2621142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621142)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621142)Termination reason: Instruction limit
% 5.86/1.67 % (2621142)Termination phase: Saturation
% 5.86/1.67 % (2621142)Time elapsed: 0.072 s
% 5.86/1.67 % (2621142)Peak memory usage: 89 MB
% 5.86/1.67 % (2621142)Instructions burned: 119 (million)
% 5.86/1.67 % (2621143)Instruction limit reached!
% 5.86/1.67 % (2621143)------------------------------
% 5.86/1.67 % (2621143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621143)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621143)Termination reason: Instruction limit
% 5.86/1.67 % (2621143)Termination phase: Saturation
% 5.86/1.67 % (2621143)Time elapsed: 0.082 s
% 5.86/1.67 % (2621143)Peak memory usage: 91 MB
% 5.86/1.67 % (2621143)Instructions burned: 139 (million)
% 5.86/1.67 % (2621152)lrs+10_1_sil=8000:sp=occurrence:random_seed=926702597:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.86/1.67 % (2621153)lrs+10_1_sil=32000:urr=on:br=off:random_seed=84436432:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.86/1.67 % (2621154)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1079636074:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.86/1.67 % (2621141)------------------------------
% 5.86/1.67 % (2621141)------------------------------
% 5.86/1.67 % (2621153)Instruction limit reached!
% 5.86/1.67 % (2621153)------------------------------
% 5.86/1.67 % (2621153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621153)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621153)Termination reason: Instruction limit
% 5.86/1.67 % (2621153)Termination phase: Saturation
% 5.86/1.67 % (2621153)Time elapsed: 0.092 s
% 5.86/1.67 % (2621153)Peak memory usage: 90 MB
% 5.86/1.67 % (2621153)Instructions burned: 158 (million)
% 5.86/1.67 % (2621152)Instruction limit reached!
% 5.86/1.67 % (2621152)------------------------------
% 5.86/1.67 % (2621152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621152)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621152)Termination reason: Instruction limit
% 5.86/1.67 % (2621152)Termination phase: Saturation
% 5.86/1.67 % (2621152)Time elapsed: 0.185 s
% 5.86/1.67 % (2621152)Peak memory usage: 92 MB
% 5.86/1.67 % (2621152)Instructions burned: 286 (million)
% 5.86/1.67 % (2621154)Instruction limit reached!
% 5.86/1.67 % (2621154)------------------------------
% 5.86/1.67 % (2621154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621154)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621154)Termination reason: Instruction limit
% 5.86/1.67 % (2621154)Termination phase: Saturation
% 5.86/1.67 % (2621154)Time elapsed: 0.182 s
% 5.86/1.67 % (2621154)Peak memory usage: 91 MB
% 5.86/1.67 % (2621154)Instructions burned: 325 (million)
% 5.86/1.67 % (2621158)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=232897655:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.86/1.67 % (2621159)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1406582741:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.86/1.67 % (2621159)First to succeed.
% 5.86/1.67 % (2621159)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2621133"
% 5.86/1.67 % (2621160)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1410412956:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.86/1.67 % (2621162)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=43370544:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.86/1.67 % (2621158)Instruction limit reached!
% 5.86/1.67 % (2621158)------------------------------
% 5.86/1.67 % (2621158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621158)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621158)Termination reason: Instruction limit
% 5.86/1.67 % (2621158)Termination phase: Saturation
% 5.86/1.67 % (2621158)Time elapsed: 0.149 s
% 5.86/1.67 % (2621158)Peak memory usage: 92 MB
% 5.86/1.67 % (2621158)Instructions burned: 248 (million)
% 5.86/1.67 % (2621162)Instruction limit reached!
% 5.86/1.67 % (2621162)------------------------------
% 5.86/1.67 % (2621162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621162)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621162)Termination reason: Instruction limit
% 5.86/1.67 % (2621162)Termination phase: Saturation
% 5.86/1.67 % (2621162)Time elapsed: 0.061 s
% 5.86/1.67 % (2621162)Peak memory usage: 91 MB
% 5.86/1.67 % (2621162)Instructions burned: 114 (million)
% 5.86/1.67 % (2621166)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4222322311:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.86/1.67 % (2621166)Refutation not found, incomplete strategy
% 5.86/1.67 % (2621166)------------------------------
% 5.86/1.67 % (2621166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.86/1.67 % (2621166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.86/1.67 % (2621166)CaDiCaL version: 2.1.3
% 5.86/1.67 % (2621166)Termination reason: Refutation not found, incomplete strategy
% 5.86/1.67 % (2621166)Time elapsed: 0.044 s
% 5.86/1.67 % (2621166)Peak memory usage: 90 MB
% 5.86/1.67 % (2621166)Instructions burned: 89 (million)
% 5.86/1.67 % (2621159)Refutation found. Thanks to Tanya!
% 5.86/1.67 % SZS status Theorem for theBenchmark
% 5.86/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 7.44/1.87 % (2621159)------------------------------
% 7.44/1.87 % (2621159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.44/1.87 % (2621159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.44/1.87 % (2621159)CaDiCaL version: 2.1.3
% 7.44/1.87 % (2621159)Termination reason: Refutation
% 7.44/1.87 % (2621159)Time elapsed: 0.074 s
% 7.44/1.87 % (2621159)Peak memory usage: 92 MB
% 7.44/1.87 % (2621159)Instructions burned: 135 (million)
% 7.44/1.87 % (2621159)------------------------------
% 7.44/1.87 % (2621159)------------------------------
% 7.44/1.87 % (2621133)Success in time 1.004 s
% 7.44/1.87 % Vampire exiting
%------------------------------------------------------------------------------