%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW179+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 : n014.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 01:39:34 PM UTC 2026
% Result : Theorem 1.73s 0.80s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 61 ( 34 unt; 2 def)
% Number of atoms : 105 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 82 ( 38 ~; 36 |; 0 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__0960_A_060_061_Acmod_Ac_096) ).
fof(f4,axiom,
! [X0] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__add__one__gt__zero) ).
fof(f22,axiom,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f44,axiom,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__ge__zero) ).
fof(f135,axiom,
! [X0,X1,X2,X3] :
( class_Groups_Oordered__comm__monoid__add(X3)
=> ( c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
=> c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__strict__increasing) ).
fof(f155,axiom,
! [X0,X1] :
( class_Groups_Omonoid__add(X1)
=> c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__0__right) ).
fof(f175,axiom,
! [X0] :
( class_Groups_Oordered__ab__group__add__abs(X0)
=> c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__zero) ).
fof(f1122,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(f1124,axiom,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
fof(f1129,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f1158,axiom,
class_Groups_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Omonoid__add) ).
fof(f1275,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1276,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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(f1285,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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(f1338,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f1469,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(ennf_transformation,[],[f135]) ).
fof(f1470,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(flattening,[],[f1469]) ).
fof(f1496,plain,
! [X0,X1] :
( c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0
| ~ class_Groups_Omonoid__add(X1) ),
inference(ennf_transformation,[],[f155]) ).
fof(f1526,plain,
! [X0] :
( c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) = c_Groups_Ozero__class_Ozero(X0)
| ~ class_Groups_Oordered__ab__group__add__abs(X0) ),
inference(ennf_transformation,[],[f175]) ).
fof(f2402,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),
inference(cnf_transformation,[],[f2]) ).
fof(f2404,plain,
! [X0] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
inference(cnf_transformation,[],[f4]) ).
fof(f2432,plain,
! [X0] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f2466,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(cnf_transformation,[],[f1338]) ).
fof(f2587,plain,
! [X2,X3,X0,X1] :
( ~ class_Groups_Oordered__comm__monoid__add(X3)
| ~ c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0)) ),
inference(cnf_transformation,[],[f1470]) ).
fof(f2610,plain,
! [X0,X1] :
( ~ class_Groups_Omonoid__add(X1)
| c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Ozero__class_Ozero(X1)) = X0 ),
inference(cnf_transformation,[],[f1496]) ).
fof(f2634,plain,
! [X0] :
( ~ class_Groups_Oordered__ab__group__add__abs(X0)
| c_Groups_Ozero__class_Ozero(X0) = c_Groups_Oabs__class_Oabs(X0,c_Groups_Ozero__class_Ozero(X0)) ),
inference(cnf_transformation,[],[f1526]) ).
fof(f3974,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1122]) ).
fof(f3976,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1124]) ).
fof(f3981,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1129]) ).
fof(f4010,plain,
class_Groups_Omonoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1158]) ).
fof(f4127,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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,[],[f1285]) ).
fof(f4473,plain,
! [X0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))),
inference(consistent_polarity_flipping,[],[f2404]) ).
fof(f4601,plain,
! [X2,X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X3,X1,c_Groups_Oplus__class_Oplus(X3,X2,X0))
| c_Orderings_Oord__class_Oless(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| class_Groups_Oordered__comm__monoid__add(X3) ),
inference(consistent_polarity_flipping,[],[f2587]) ).
fof(f5379,plain,
~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f3976]) ).
fof(f5464,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),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(consistent_polarity_flipping,[],[f4127]) ).
fof(f5473,definition,
( spl73_2
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
introduced(definition,[new_symbols(definition,[spl73_2])],[avatar_definition]) ).
fof(f5474,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl73_2 ),
inference(avatar_component_clause,[],[f5473]) ).
fof(f5536,plain,
! [X0] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
| ~ class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
inference(superposition,[],[f2466,f2432]) ).
fof(f5537,plain,
! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),
inference(forward_subsumption_resolution,[],[f5536,f3981]) ).
fof(f5554,plain,
! [X0] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = X0,
inference(resolution,[],[f2610,f4010]) ).
fof(f5567,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(resolution,[],[f2634,f3974]) ).
fof(f6404,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(superposition,[],[f4473,f5567]) ).
fof(f6408,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(forward_demodulation,[],[f6404,f5554]) ).
fof(f6409,plain,
~ spl73_2,
inference(avatar_split_clause,[],[f6408,f5473]) ).
fof(f10342,definition,
( spl73_96
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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____))) ),
introduced(definition,[new_symbols(definition,[spl73_96])],[avatar_definition]) ).
fof(f10344,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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____)))
| ~ spl73_96 ),
inference(avatar_component_clause,[],[f10342]) ).
fof(f17491,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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____)))
| class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(resolution,[],[f4601,f5464]) ).
fof(f17668,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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____)))
| class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f17491,f5537]) ).
fof(f17681,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(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____))),
inference(forward_subsumption_resolution,[],[f17668,f5379]) ).
fof(f17682,plain,
spl73_96,
inference(avatar_split_clause,[],[f17681,f10342]) ).
fof(f19766,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))
| class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
| ~ spl73_96 ),
inference(resolution,[],[f10344,f4601]) ).
fof(f19781,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))
| class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
| spl73_2
| ~ spl73_96 ),
inference(forward_subsumption_resolution,[],[f19766,f5474]) ).
fof(f19797,plain,
( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
| spl73_2
| ~ spl73_96 ),
inference(forward_subsumption_resolution,[],[f19781,f2402]) ).
fof(f19800,plain,
( $false
| spl73_2
| ~ spl73_96 ),
inference(forward_subsumption_resolution,[],[f19797,f5379]) ).
fof(f19801,plain,
( spl73_2
| ~ spl73_96 ),
inference(avatar_contradiction_clause,[],[f19800]) ).
cnf(s9,plain,
~ spl73_2,
inference(sat_conversion,[],[f6409]) ).
cnf(s242,plain,
spl73_96,
inference(sat_conversion,[],[f17682]) ).
cnf(s283,plain,
( spl73_2
| ~ spl73_96 ),
inference(sat_conversion,[],[f19801]) ).
cnf(s284,plain,
spl73_2,
inference(rat,[],[s283,s242]) ).
cnf(s285,plain,
$false,
inference(rat,[],[s9,s284]) ).
fof(f19802,plain,
$false,
inference(avatar_sat_refutation,[],[s285]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW179+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n014.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 13:12:46 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 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
% 1.73/0.80 % (1770096)Will run a generic schedule for satisfiability detection.
% 1.73/0.80 % (1770105)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=138653131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.73/0.80 % (1770102)% WARNING: option uhcvi not known.
% 1.73/0.80 % (1770101)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3084820306_2999 on theBenchmark for (2999ds/0Mi)
% 1.73/0.80 % (1770103)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3988636796:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.73/0.80 % (1770104)dis+10_1_sil=32000:sp=arity:random_seed=1249082935:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.73/0.80 % (1770106)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=24012669:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.73/0.80 % (1770107)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1391139209:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.73/0.80 % (1770102)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3086556250:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.73/0.80 % (1770105)Instruction limit reached!
% 1.73/0.80 % (1770105)------------------------------
% 1.73/0.80 % (1770105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770105)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770105)Termination reason: Instruction limit
% 1.73/0.80 % (1770105)Termination phase: Saturation
% 1.73/0.80 % (1770105)Time elapsed: 0.030 s
% 1.73/0.80 % (1770105)Peak memory usage: 14 MB
% 1.73/0.80 % (1770105)Instructions burned: 118 (million)
% 1.73/0.80 % (1770115)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2273030806:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.73/0.80 % (1770104)Instruction limit reached!
% 1.73/0.80 % (1770104)------------------------------
% 1.73/0.80 % (1770104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770104)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770104)Termination reason: Instruction limit
% 1.73/0.80 % (1770104)Termination phase: Saturation
% 1.73/0.80 % (1770104)Time elapsed: 0.051 s
% 1.73/0.80 % (1770104)Peak memory usage: 14 MB
% 1.73/0.80 % (1770104)Instructions burned: 103 (million)
% 1.73/0.80 % (1770106)Instruction limit reached!
% 1.73/0.80 % (1770106)------------------------------
% 1.73/0.80 % (1770106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770106)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770106)Termination reason: Instruction limit
% 1.73/0.80 % (1770106)Termination phase: Saturation
% 1.73/0.80 % (1770106)Time elapsed: 0.067 s
% 1.73/0.80 % (1770106)Peak memory usage: 14 MB
% 1.73/0.80 % (1770106)Instructions burned: 133 (million)
% 1.73/0.80 % (1770117)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4227545528:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.73/0.80 % (1770118)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=1258834001:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.73/0.80 % (1770107)Instruction limit reached!
% 1.73/0.80 % (1770107)------------------------------
% 1.73/0.80 % (1770107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770107)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770107)Termination reason: Instruction limit
% 1.73/0.80 % (1770107)Termination phase: Saturation
% 1.73/0.80 % (1770107)Time elapsed: 0.088 s
% 1.73/0.80 % (1770107)Peak memory usage: 15 MB
% 1.73/0.80 % (1770107)Instructions burned: 160 (million)
% 1.73/0.80 % (1770121)ott-21_1_sil=16000:fs=off:random_seed=3495442865:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.73/0.80 % (1770117)Instruction limit reached!
% 1.73/0.80 % (1770117)------------------------------
% 1.73/0.80 % (1770117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770117)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770117)Termination reason: Instruction limit
% 1.73/0.80 % (1770117)Termination phase: Saturation
% 1.73/0.80 % (1770117)Time elapsed: 0.061 s
% 1.73/0.80 % (1770117)Peak memory usage: 14 MB
% 1.73/0.80 % (1770117)Instructions burned: 132 (million)
% 1.73/0.80 % (1770123)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2886586143:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.73/0.80 % (1770121)Instruction limit reached!
% 1.73/0.80 % (1770121)------------------------------
% 1.73/0.80 % (1770121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770121)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770121)Termination reason: Instruction limit
% 1.73/0.80 % (1770121)Termination phase: Saturation
% 1.73/0.80 % (1770121)Time elapsed: 0.090 s
% 1.73/0.80 % (1770121)Peak memory usage: 14 MB
% 1.73/0.80 % (1770121)Instructions burned: 182 (million)
% 1.73/0.80 % TRYING [1]
% 1.73/0.80 % TRYING [2]
% 1.73/0.80 % (1770125)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=503414588:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.73/0.80 % (1770115)Instruction limit reached!
% 1.73/0.80 % (1770115)------------------------------
% 1.73/0.80 % (1770115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770115)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770115)Termination reason: Instruction limit
% 1.73/0.80 % (1770115)Termination phase: Finite model building constraint generation
% 1.73/0.80 % (1770115)Time elapsed: 0.185 s
% 1.73/0.80 % (1770115)Peak memory usage: 25 MB
% 1.73/0.80 % (1770115)Instructions burned: 736 (million)
% 1.73/0.80 % (1770127)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4187041792:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.73/0.80 % TRYING [1]
% 1.73/0.80 % TRYING [2]
% 1.73/0.80 % (1770123)Instruction limit reached!
% 1.73/0.80 % (1770123)------------------------------
% 1.73/0.80 % (1770123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770123)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770123)Termination reason: Instruction limit
% 1.73/0.80 % (1770123)Termination phase: Saturation
% 1.73/0.80 % (1770123)Time elapsed: 0.275 s
% 1.73/0.80 % (1770123)Peak memory usage: 16 MB
% 1.73/0.80 % (1770123)Instructions burned: 479 (million)
% 1.73/0.80 % (1770129)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4149801414:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 1.73/0.80 % (1770102) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1770096-1770102"...
% 1.73/0.80 % (1770102)...printing done.
% 1.73/0.80 % (1770102)Refutation found. Thanks to Tanya!
% 1.73/0.80 % SZS status Theorem for theBenchmark
% 1.73/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.80 % (1770102)------------------------------
% 1.73/0.80 % (1770102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.80 % (1770102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.80 % (1770102)CaDiCaL version: 2.1.3
% 1.73/0.80 % (1770102)Termination reason: Refutation
% 1.73/0.80 % (1770102)Time elapsed: 0.465 s
% 1.73/0.80 % (1770102)Peak memory usage: 20 MB
% 1.73/0.80 % (1770102)Instructions burned: 734 (million)
% 1.73/0.80 % (1770096)Success in time 0.555 s
% 1.73/0.80 % Vampire exiting
%------------------------------------------------------------------------------