%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW180+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:29:47 PM UTC 2026
% Result : Theorem 7.32s 2.03s
% Output : Refutation 9.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 90 ( 28 unt; 4 def)
% Number of atoms : 220 ( 11 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 221 ( 91 ~; 97 |; 13 &)
% ( 7 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 103 ( 0 sgn 103 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,axiom,
! [X0,X1,X2,X3] :
( class_Groups_Oordered__comm__monoid__add(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing) ).
fof(f161,axiom,
! [X0,X1,X2,X3,X4] :
( class_Groups_Oordered__ab__semigroup__add(X4)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__mono) ).
fof(f181,axiom,
! [X0,X1,X2] :
( class_Groups_Oordered__ab__group__add__abs(X2)
=> ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
=> c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_abs__le__D1) ).
fof(f199,axiom,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__refl) ).
fof(f200,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(f202,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
=> X1 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__antisym) ).
fof(f211,axiom,
! [X0] :
( class_Rings_Ozero__neq__one(X0)
=> c_Groups_Ozero__class_Ozero(X0) != c_Groups_Oone__class_Oone(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__neq__one) ).
fof(f223,axiom,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__1) ).
fof(f226,axiom,
! [X0,X1,X2] :
( class_Rings_Olinordered__ring__strict(X2)
=> ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
<=> ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
& c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0) )
| ( c_Orderings_Oord__class_Oless__eq(X2,X1,c_Groups_Ozero__class_Ozero(X2))
& c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Ozero__class_Ozero(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__le__mult__iff) ).
fof(f963,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__eq__diff) ).
fof(f1037,axiom,
class_Rings_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int__Oint__Rings_Ocomm__semiring__1) ).
fof(f1118,axiom,
class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add) ).
fof(f1119,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(f1121,axiom,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
fof(f1127,axiom,
class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__ring__strict) ).
fof(f1247,axiom,
! [X0] :
( class_Rings_Ocomm__semiring__1(X0)
=> class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Polynomial__Opoly__Rings_Ozero__neq__one) ).
fof(f1275,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1276,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(negated_conjecture,[status(cth)],[f1275]) ).
fof(f1282,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(flattening,[],[f1276]) ).
fof(f1438,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(ennf_transformation,[],[f107]) ).
fof(f1439,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(flattening,[],[f1438]) ).
fof(f1517,plain,
! [X0,X1,X2,X3,X4] :
( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
| ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
inference(ennf_transformation,[],[f161]) ).
fof(f1518,plain,
! [X0,X1,X2,X3,X4] :
( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
| ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
inference(flattening,[],[f1517]) ).
fof(f1540,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
| ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
inference(ennf_transformation,[],[f181]) ).
fof(f1541,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
| ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
inference(flattening,[],[f1540]) ).
fof(f1564,plain,
! [X0,X1] :
( X1 = X0
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(ennf_transformation,[],[f202]) ).
fof(f1565,plain,
! [X0,X1] :
( X1 = X0
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(flattening,[],[f1564]) ).
fof(f1574,plain,
! [X0] :
( c_Groups_Ozero__class_Ozero(X0) != c_Groups_Oone__class_Oone(X0)
| ~ class_Rings_Ozero__neq__one(X0) ),
inference(ennf_transformation,[],[f211]) ).
fof(f1584,plain,
! [X0,X1,X2] :
( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
<=> ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
& c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0) )
| ( c_Orderings_Oord__class_Oless__eq(X2,X1,c_Groups_Ozero__class_Ozero(X2))
& c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Ozero__class_Ozero(X2)) ) ) )
| ~ class_Rings_Olinordered__ring__strict(X2) ),
inference(ennf_transformation,[],[f226]) ).
fof(f2382,plain,
! [X0] :
( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(ennf_transformation,[],[f1247]) ).
fof(f2469,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
| ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,c_Groups_Ozero__class_Ozero(X2))
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Ozero__class_Ozero(X2)) ) ) )
& ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
& c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0) )
| ( c_Orderings_Oord__class_Oless__eq(X2,X1,c_Groups_Ozero__class_Ozero(X2))
& c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Ozero__class_Ozero(X2)) )
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) ) )
| ~ class_Rings_Olinordered__ring__strict(X2) ),
inference(nnf_transformation,[],[f1584]) ).
fof(f2470,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
| ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X2,X1,c_Groups_Ozero__class_Ozero(X2))
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Ozero__class_Ozero(X2)) ) ) )
& ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
& c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0) )
| ( c_Orderings_Oord__class_Oless__eq(X2,X1,c_Groups_Ozero__class_Ozero(X2))
& c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Ozero__class_Ozero(X2)) )
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) ) )
| ~ class_Rings_Olinordered__ring__strict(X2) ),
inference(flattening,[],[f2469]) ).
fof(f2768,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )
& ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f963]) ).
fof(f2911,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(cnf_transformation,[],[f1439]) ).
fof(f2977,plain,
! [X2,X3,X0,X1,X4] :
( c_Orderings_Oord__class_Oless__eq(X4,c_Groups_Oplus__class_Oplus(X4,X3,X1),c_Groups_Oplus__class_Oplus(X4,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X4,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X4,X3,X2)
| ~ class_Groups_Oordered__ab__semigroup__add(X4) ),
inference(cnf_transformation,[],[f1518]) ).
fof(f3003,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
| ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
inference(cnf_transformation,[],[f1541]) ).
fof(f3028,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f199]) ).
fof(f3029,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f200]) ).
fof(f3031,plain,
! [X0,X1] :
( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f1565]) ).
fof(f3042,plain,
! [X0] :
( c_Groups_Oone__class_Oone(X0) != c_Groups_Ozero__class_Ozero(X0)
| ~ class_Rings_Ozero__neq__one(X0) ),
inference(cnf_transformation,[],[f1574]) ).
fof(f3060,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0) = X0,
inference(cnf_transformation,[],[f223]) ).
fof(f3065,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Ozero__class_Ozero(X2))
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0))
| ~ class_Rings_Olinordered__ring__strict(X2) ),
inference(cnf_transformation,[],[f2470]) ).
fof(f4145,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cnf_transformation,[],[f2768]) ).
fof(f4227,plain,
class_Rings_Ocomm__semiring__1(tc_Int_Oint),
inference(cnf_transformation,[],[f1037]) ).
fof(f4308,plain,
class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1118]) ).
fof(f4309,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1119]) ).
fof(f4311,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1121]) ).
fof(f4317,plain,
class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1127]) ).
fof(f4437,plain,
! [X0] :
( class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X0))
| ~ class_Rings_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[],[f2382]) ).
fof(f4465,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(cnf_transformation,[],[f1282]) ).
fof(f4833,definition,
( spl46_1
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))) ),
introduced(definition,[new_symbols(definition,[spl46_1])],[avatar_definition]) ).
fof(f4835,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))))
| spl46_1 ),
inference(avatar_component_clause,[],[f4833]) ).
fof(f4836,plain,
~ spl46_1,
inference(avatar_split_clause,[],[f4465,f4833]) ).
fof(f4846,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
| ~ class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal)
| spl46_1 ),
inference(resolution,[],[f4835,f2977]) ).
fof(f4942,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
| spl46_1 ),
inference(forward_subsumption_resolution,[],[f4846,f4308]) ).
fof(f4948,definition,
( spl46_2
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))) ),
introduced(definition,[new_symbols(definition,[spl46_2])],[avatar_definition]) ).
fof(f4950,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)))
| spl46_2 ),
inference(avatar_component_clause,[],[f4948]) ).
fof(f4952,definition,
( spl46_3
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))) ),
introduced(definition,[new_symbols(definition,[spl46_3])],[avatar_definition]) ).
fof(f4954,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
| spl46_3 ),
inference(avatar_component_clause,[],[f4952]) ).
fof(f4955,plain,
( ~ spl46_2
| ~ spl46_3
| spl46_1 ),
inference(avatar_split_clause,[],[f4942,f4833,f4952,f4948]) ).
fof(f4965,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
| spl46_2 ),
inference(resolution,[],[f4950,f2911]) ).
fof(f5033,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
| spl46_2 ),
inference(forward_subsumption_resolution,[],[f4965,f3028]) ).
fof(f5034,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl46_2 ),
inference(forward_subsumption_resolution,[],[f5033,f4311]) ).
fof(f5036,definition,
( spl46_4
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
introduced(definition,[new_symbols(definition,[spl46_4])],[avatar_definition]) ).
fof(f5038,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl46_4 ),
inference(avatar_component_clause,[],[f5036]) ).
fof(f5039,plain,
( ~ spl46_4
| spl46_2 ),
inference(avatar_split_clause,[],[f5034,f4948,f5036]) ).
fof(f5054,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0))
| ~ class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )
| spl46_4 ),
inference(resolution,[],[f5038,f3065]) ).
fof(f5236,plain,
( ! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)) )
| spl46_4 ),
inference(forward_subsumption_resolution,[],[f5054,f4317]) ).
fof(f5252,plain,
( ! [X0] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )
| spl46_4 ),
inference(forward_demodulation,[],[f5236,f3060]) ).
fof(f5257,plain,
( ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| spl46_4 ),
inference(forward_subsumption_resolution,[],[f5252,f3029]) ).
fof(f5301,plain,
( ! [X0,X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| spl46_4 ),
inference(backward_subsumption_resolution,[],[f4145,f5257]) ).
fof(f5348,plain,
( ! [X0,X1] :
( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) )
| spl46_4 ),
inference(backward_subsumption_resolution,[],[f3031,f5301]) ).
fof(f5559,plain,
( ! [X0,X1] : X0 = X1
| spl46_4 ),
inference(forward_subsumption_resolution,[],[f5348,f5301]) ).
fof(f5830,plain,
( ! [X0] : ~ class_Rings_Ozero__neq__one(X0)
| spl46_4 ),
inference(backward_subsumption_resolution,[],[f3042,f5559]) ).
fof(f5977,plain,
( ! [X0] : ~ class_Rings_Ocomm__semiring__1(X0)
| spl46_4 ),
inference(backward_subsumption_resolution,[],[f4437,f5830]) ).
fof(f6050,plain,
( $false
| spl46_4 ),
inference(backward_subsumption_resolution,[],[f4227,f5977]) ).
fof(f6054,plain,
spl46_4,
inference(avatar_contradiction_clause,[],[f6050]) ).
fof(f6214,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))
| ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
| spl46_3 ),
inference(resolution,[],[f4954,f3003]) ).
fof(f6252,plain,
( ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
| spl46_3 ),
inference(forward_subsumption_resolution,[],[f6214,f3028]) ).
fof(f6284,plain,
( $false
| spl46_3 ),
inference(forward_subsumption_resolution,[],[f6252,f4309]) ).
fof(f6285,plain,
spl46_3,
inference(avatar_contradiction_clause,[],[f6284]) ).
cnf(s1,plain,
~ spl46_1,
inference(sat_conversion,[],[f4836]) ).
cnf(s2,plain,
( spl46_1
| ~ spl46_2
| ~ spl46_3 ),
inference(sat_conversion,[],[f4955]) ).
cnf(s3,plain,
( spl46_2
| ~ spl46_4 ),
inference(sat_conversion,[],[f5039]) ).
cnf(s104,plain,
spl46_4,
inference(sat_conversion,[],[f6054]) ).
cnf(s107,plain,
spl46_3,
inference(sat_conversion,[],[f6285]) ).
cnf(s108,plain,
spl46_2,
inference(rat,[],[s3,s104]) ).
cnf(s109,plain,
spl46_1,
inference(rat,[],[s2,s107,s108]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s1,s109]) ).
fof(f6286,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW180+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % 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 13:13:01 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 7.32/2.03 % (3377622)Detected formulas, will run a generic FOF schedule.
% 7.32/2.03 % (3377631)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2596220854:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.32/2.03 % (3377630)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1952971912:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.32/2.03 % (3377628)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=2761282925:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.32/2.03 % (3377627)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=2056869382:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.32/2.03 % (3377629)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=2532898094:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.32/2.03 % (3377631)Instruction limit reached!
% 7.32/2.03 % (3377631)------------------------------
% 7.32/2.03 % (3377631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377631)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377631)Termination reason: Instruction limit
% 7.32/2.03 % (3377631)Termination phase: Saturation
% 7.32/2.03 % (3377631)Time elapsed: 0.038 s
% 7.32/2.03 % (3377631)Peak memory usage: 89 MB
% 7.32/2.03 % (3377631)Instructions burned: 121 (million)
% 7.32/2.03 % (3377633)dis-21_1_sil=8000:lcm=predicate:random_seed=3231415674: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)
% 7.32/2.03 % (3377632)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3028645087:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.32/2.03 % (3377630)Instruction limit reached!
% 7.32/2.03 % (3377630)------------------------------
% 7.32/2.03 % (3377630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377630)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377630)Termination reason: Instruction limit
% 7.32/2.03 % (3377630)Termination phase: Saturation
% 7.32/2.03 % (3377630)Time elapsed: 0.067 s
% 7.32/2.03 % (3377630)Peak memory usage: 90 MB
% 7.32/2.03 % (3377630)Instructions burned: 110 (million)
% 7.32/2.03 % (3377633)Instruction limit reached!
% 7.32/2.03 % (3377633)------------------------------
% 7.32/2.03 % (3377633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377633)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377633)Termination reason: Instruction limit
% 7.32/2.03 % (3377633)Termination phase: Saturation
% 7.32/2.03 % (3377633)Time elapsed: 0.069 s
% 7.32/2.03 % (3377633)Peak memory usage: 91 MB
% 7.32/2.03 % (3377633)Instructions burned: 130 (million)
% 7.32/2.03 % (3377632)Instruction limit reached!
% 7.32/2.03 % (3377632)------------------------------
% 7.32/2.03 % (3377632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377632)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377632)Termination reason: Instruction limit
% 7.32/2.03 % (3377632)Termination phase: Saturation
% 7.32/2.03 % (3377632)Time elapsed: 0.079 s
% 7.32/2.03 % (3377632)Peak memory usage: 91 MB
% 7.32/2.03 % (3377632)Instructions burned: 140 (million)
% 7.32/2.03 % (3377641)lrs+10_1_sil=8000:sp=occurrence:random_seed=3086469275:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.32/2.03 % (3377642)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2667413178:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.32/2.03 % (3377641)Instruction limit reached!
% 7.32/2.03 % (3377641)------------------------------
% 7.32/2.03 % (3377641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377641)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377641)Termination reason: Instruction limit
% 7.32/2.03 % (3377641)Termination phase: Saturation
% 7.32/2.03 % (3377641)Time elapsed: 0.102 s
% 7.32/2.03 % (3377641)Peak memory usage: 92 MB
% 7.32/2.03 % (3377641)Instructions burned: 287 (million)
% 7.32/2.03 % (3377643)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3858570482:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.32/2.03 % (3377644)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=3206136424:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.32/2.03 % (3377642)Instruction limit reached!
% 7.32/2.03 % (3377642)------------------------------
% 7.32/2.03 % (3377642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377642)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377642)Termination reason: Instruction limit
% 7.32/2.03 % (3377642)Termination phase: Saturation
% 7.32/2.03 % (3377642)Time elapsed: 0.091 s
% 7.32/2.03 % (3377642)Peak memory usage: 90 MB
% 7.32/2.03 % (3377642)Instructions burned: 157 (million)
% 7.32/2.03 % (3377647)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1814480908:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.32/2.03 % (3377644)Instruction limit reached!
% 7.32/2.03 % (3377644)------------------------------
% 7.32/2.03 % (3377644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377644)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377644)Termination reason: Instruction limit
% 7.32/2.03 % (3377644)Termination phase: Saturation
% 7.32/2.03 % (3377644)Time elapsed: 0.146 s
% 7.32/2.03 % (3377644)Peak memory usage: 92 MB
% 7.32/2.03 % (3377644)Instructions burned: 250 (million)
% 7.32/2.03 % (3377647)Instruction limit reached!
% 7.32/2.03 % (3377647)------------------------------
% 7.32/2.03 % (3377647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377647)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377647)Termination reason: Instruction limit
% 7.32/2.03 % (3377647)Termination phase: Saturation
% 7.32/2.03 % (3377647)Time elapsed: 0.086 s
% 7.32/2.03 % (3377647)Peak memory usage: 92 MB
% 7.32/2.03 % (3377647)Instructions burned: 295 (million)
% 7.32/2.03 % (3377643)Instruction limit reached!
% 7.32/2.03 % (3377643)------------------------------
% 7.32/2.03 % (3377643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377643)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377643)Termination reason: Instruction limit
% 7.32/2.03 % (3377643)Termination phase: Saturation
% 7.32/2.03 % (3377643)Time elapsed: 0.204 s
% 7.32/2.03 % (3377643)Peak memory usage: 92 MB
% 7.32/2.03 % (3377643)Instructions burned: 326 (million)
% 7.32/2.03 % (3377650)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2126522275:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.32/2.03 % (3377653)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1708741694:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 7.32/2.03 % (3377652)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3728544127:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.32/2.03 % (3377653)Instruction limit reached!
% 7.32/2.03 % (3377653)------------------------------
% 7.32/2.03 % (3377653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377653)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377653)Termination reason: Instruction limit
% 7.32/2.03 % (3377653)Termination phase: Saturation
% 7.32/2.03 % (3377653)Time elapsed: 0.033 s
% 7.32/2.03 % (3377653)Peak memory usage: 90 MB
% 7.32/2.03 % (3377653)Instructions burned: 130 (million)
% 7.32/2.03 % (3377652)Instruction limit reached!
% 7.32/2.03 % (3377652)------------------------------
% 7.32/2.03 % (3377652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377652)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377652)Termination reason: Instruction limit
% 7.32/2.03 % (3377652)Termination phase: Saturation
% 7.32/2.03 % (3377652)Time elapsed: 0.060 s
% 7.32/2.03 % (3377652)Peak memory usage: 90 MB
% 7.32/2.03 % (3377652)Instructions burned: 115 (million)
% 7.32/2.03 % (3377654)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3284678098:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 7.32/2.03 % (3377654)Instruction limit reached!
% 7.32/2.03 % (3377654)------------------------------
% 7.32/2.03 % (3377654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377654)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377654)Termination reason: Instruction limit
% 7.32/2.03 % (3377654)Termination phase: Saturation
% 7.32/2.03 % (3377654)Time elapsed: 0.061 s
% 7.32/2.03 % (3377654)Peak memory usage: 89 MB
% 7.32/2.03 % (3377654)Instructions burned: 114 (million)
% 7.32/2.03 % (3377658)lrs+10_1_sil=8000:sp=occurrence:random_seed=1503135636:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.32/2.03 % (3377660)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3054456783:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.32/2.03 % (3377661)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3877738824:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 7.32/2.03 % (3377629)First to succeed.
% 7.32/2.03 % (3377629)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3377622"
% 7.32/2.03 % (3377660)Instruction limit reached!
% 7.32/2.03 % (3377660)------------------------------
% 7.32/2.03 % (3377660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.32/2.03 % (3377660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/2.03 % (3377660)CaDiCaL version: 2.1.3
% 7.32/2.03 % (3377660)Termination reason: Instruction limit
% 7.32/2.03 % (3377660)Termination phase: Saturation
% 7.32/2.03 % (3377660)Time elapsed: 0.229 s
% 7.32/2.03 % (3377660)Peak memory usage: 94 MB
% 7.32/2.03 % (3377660)Instructions burned: 437 (million)
% 7.32/2.03 % (3377629)Refutation found. Thanks to Tanya!
% 7.32/2.03 % SZS status Theorem for theBenchmark
% 7.32/2.03 % SZS output start Proof for theBenchmark
% See solution above
% 9.91/2.23 % (3377629)------------------------------
% 9.91/2.23 % (3377629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.91/2.23 % (3377629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.91/2.23 % (3377629)CaDiCaL version: 2.1.3
% 9.91/2.23 % (3377629)Termination reason: Refutation
% 9.91/2.23 % (3377629)Time elapsed: 0.880 s
% 9.91/2.23 % (3377629)Peak memory usage: 146 MB
% 9.91/2.23 % (3377629)Instructions burned: 1394 (million)
% 9.91/2.23 % (3377629)------------------------------
% 9.91/2.23 % (3377629)------------------------------
% 9.91/2.23 % (3377622)Success in time 1.351 s
% 9.91/2.23 % Vampire exiting
%------------------------------------------------------------------------------