%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW258+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:39:43 PM UTC 2026
% Result : Theorem 15.21s 5.35s
% Output : Refutation 15.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 68 ( 32 unt; 2 def)
% Number of atoms : 127 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 114 ( 55 ~; 46 |; 1 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_m_I1_J) ).
fof(f3,axiom,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_w0) ).
fof(f4,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_w____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__0960_A_060_061_Acmod_Aw_096) ).
fof(f11,axiom,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
<=> X0 != c_Groups_Ozero__class_Ozero(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__norm__iff) ).
fof(f146,axiom,
! [X0,X1,X2] :
( class_Rings_Olinordered__semidom(X2)
=> ( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)
=> c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_zero__less__power) ).
fof(f160,axiom,
! [X0,X1] :
( class_Fields_Olinordered__field(X1)
=> ( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
=> c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_positive__imp__inverse__positive) ).
fof(f208,axiom,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__commute) ).
fof(f235,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f256,axiom,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1)
=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__mult__order) ).
fof(f1133,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(f1137,axiom,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Fields_Olinordered__field) ).
fof(f1181,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1272,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1273,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(negated_conjecture,[status(cth)],[f1272]) ).
fof(f1276,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(flattening,[],[f1273]) ).
fof(f1291,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
<=> X0 != c_Groups_Ozero__class_Ozero(X1) )
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f1500,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0))
| ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ class_Rings_Olinordered__semidom(X2) ),
inference(ennf_transformation,[],[f146]) ).
fof(f1501,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0))
| ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ class_Rings_Olinordered__semidom(X2) ),
inference(flattening,[],[f1500]) ).
fof(f1527,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X0))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Fields_Olinordered__field(X1) ),
inference(ennf_transformation,[],[f160]) ).
fof(f1528,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X0))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| ~ class_Fields_Olinordered__field(X1) ),
inference(flattening,[],[f1527]) ).
fof(f1649,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(ennf_transformation,[],[f256]) ).
fof(f1650,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(flattening,[],[f1649]) ).
fof(f2421,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(cnf_transformation,[],[f2]) ).
fof(f2422,plain,
v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f3]) ).
fof(f2423,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_w____)),
inference(cnf_transformation,[],[f4]) ).
fof(f2430,plain,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_Groups_Ozero__class_Ozero(X1) = X0
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ),
inference(cnf_transformation,[],[f1291]) ).
fof(f2613,plain,
! [X2,X0,X1] :
( ~ class_Rings_Olinordered__semidom(X2)
| ~ c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X0)) ),
inference(cnf_transformation,[],[f1501]) ).
fof(f2630,plain,
! [X0,X1] :
( ~ class_Fields_Olinordered__field(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X0)) ),
inference(cnf_transformation,[],[f1528]) ).
fof(f2688,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(cnf_transformation,[],[f208]) ).
fof(f2720,plain,
! [X0,X1] :
( X0 != X1
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f2722,plain,
! [X0,X1] :
( X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f2758,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X1) ),
inference(cnf_transformation,[],[f1650]) ).
fof(f3926,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1133]) ).
fof(f3930,plain,
class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1137]) ).
fof(f3974,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1181]) ).
fof(f4065,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),
inference(cnf_transformation,[],[f1276]) ).
fof(f4211,plain,
! [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f2720]) ).
fof(f4395,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_w____)),
inference(consistent_polarity_flipping,[],[f2423]) ).
fof(f4398,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| c_Groups_Ozero__class_Ozero(X1) = X0
| class_RealVector_Oreal__normed__vector(X1) ),
inference(consistent_polarity_flipping,[],[f2430]) ).
fof(f4522,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X0))
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X0)
| class_Fields_Olinordered__field(X1) ),
inference(consistent_polarity_flipping,[],[f2630]) ).
fof(f4583,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(consistent_polarity_flipping,[],[f2722]) ).
fof(f5228,plain,
~ class_Fields_Olinordered__field(tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f3930]) ).
fof(f5249,plain,
~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f3974]) ).
fof(f6019,plain,
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
inference(resolution,[],[f4583,f4395]) ).
fof(f6027,definition,
( spl35_7
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
introduced(definition,[new_symbols(definition,[spl35_7])],[avatar_definition]) ).
fof(f6029,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| ~ spl35_7 ),
inference(avatar_component_clause,[],[f6027]) ).
fof(f6031,definition,
( spl35_8
<=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____) ),
introduced(definition,[new_symbols(definition,[spl35_8])],[avatar_definition]) ).
fof(f6033,plain,
( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)
| ~ spl35_8 ),
inference(avatar_component_clause,[],[f6031]) ).
fof(f6034,plain,
( spl35_7
| spl35_8 ),
inference(avatar_split_clause,[],[f6019,f6031,f6027]) ).
fof(f8999,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))
| class_Fields_Olinordered__field(tc_RealDef_Oreal) ),
inference(resolution,[],[f4522,f4065]) ).
fof(f9088,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)),
inference(forward_subsumption_resolution,[],[f8999,f5228]) ).
fof(f9097,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_m____),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),
inference(forward_demodulation,[],[f9088,f2688]) ).
fof(f13766,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),X0),X1))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(resolution,[],[f2613,f3926]) ).
fof(f17746,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ),
inference(resolution,[],[f2758,f9097]) ).
fof(f17778,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),
inference(forward_subsumption_resolution,[],[f17746,f2421]) ).
fof(f33091,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| v_w____ = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ~ spl35_8 ),
inference(superposition,[],[f4398,f6033]) ).
fof(f33118,plain,
( v_w____ = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
| class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f33091,f4211]) ).
fof(f33140,plain,
( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f33118,f2422]) ).
fof(f33152,plain,
( $false
| ~ spl35_8 ),
inference(forward_subsumption_resolution,[],[f33140,f5249]) ).
fof(f33153,plain,
~ spl35_8,
inference(avatar_contradiction_clause,[],[f33152]) ).
fof(f94709,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(resolution,[],[f13766,f17778]) ).
fof(f94755,plain,
( $false
| ~ spl35_7 ),
inference(forward_subsumption_resolution,[],[f94709,f6029]) ).
fof(f94756,plain,
~ spl35_7,
inference(avatar_contradiction_clause,[],[f94755]) ).
cnf(s7,plain,
( spl35_7
| spl35_8 ),
inference(sat_conversion,[],[f6034]) ).
cnf(s534,plain,
~ spl35_8,
inference(sat_conversion,[],[f33153]) ).
cnf(s1483,plain,
~ spl35_7,
inference(sat_conversion,[],[f94756]) ).
cnf(s1533,plain,
$false,
inference(rat,[],[s7,s534,s1483]) ).
fof(f94764,plain,
$false,
inference(avatar_sat_refutation,[],[s1533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW258+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n016.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 13:30:03 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28 Running first-order model finding
% 0.24/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.00/2.91 % (3622209)Will run a generic schedule for satisfiability detection.
% 17.00/2.91 % (3622220)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2804146703:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.00/2.91 % (3622215)% WARNING: option uhcvi not known.
% 17.00/2.91 % (3622215)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=37917551:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.00/2.91 % (3622216)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2318316956:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.00/2.91 % (3622218)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3791388581:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.00/2.91 % (3622219)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4153208510:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.00/2.91 % (3622214)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2321372226_2999 on theBenchmark for (2999ds/0Mi)
% 17.00/2.91 % (3622217)dis+10_1_sil=32000:sp=arity:random_seed=4294804360:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.00/2.91 % (3622220)Instruction limit reached!
% 17.00/2.91 % (3622220)------------------------------
% 17.00/2.91 % (3622220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.91 % (3622220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.91 % (3622220)CaDiCaL version: 2.1.3
% 17.00/2.91 % (3622220)Termination reason: Instruction limit
% 17.00/2.91 % (3622220)Termination phase: Saturation
% 17.00/2.91 % (3622220)Time elapsed: 0.085 s
% 17.00/2.91 % (3622220)Peak memory usage: 16 MB
% 17.00/2.91 % (3622220)Instructions burned: 159 (million)
% 17.00/2.91 % (3622228)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1388294446:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 17.00/2.91 % (3622217)Instruction limit reached!
% 17.00/2.91 % (3622217)------------------------------
% 17.00/2.91 % (3622217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.91 % (3622217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.91 % (3622217)CaDiCaL version: 2.1.3
% 17.00/2.91 % (3622217)Termination reason: Instruction limit
% 17.00/2.91 % (3622217)Termination phase: Saturation
% 17.00/2.91 % (3622217)Time elapsed: 0.095 s
% 17.00/2.91 % (3622217)Peak memory usage: 14 MB
% 17.00/2.91 % (3622217)Instructions burned: 103 (million)
% 17.00/2.91 % (3622218)Instruction limit reached!
% 17.00/2.91 % (3622218)------------------------------
% 17.00/2.91 % (3622218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.91 % (3622218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.91 % (3622218)CaDiCaL version: 2.1.3
% 17.00/2.91 % (3622218)Termination reason: Instruction limit
% 17.00/2.91 % (3622218)Termination phase: Saturation
% 17.00/2.91 % (3622218)Time elapsed: 0.102 s
% 17.00/2.91 % (3622218)Peak memory usage: 14 MB
% 17.00/2.91 % (3622218)Instructions burned: 116 (million)
% 17.00/2.91 % (3622219)Instruction limit reached!
% 17.00/2.91 % (3622219)------------------------------
% 17.00/2.91 % (3622219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.91 % (3622219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.91 % (3622219)CaDiCaL version: 2.1.3
% 17.00/2.91 % (3622219)Termination reason: Instruction limit
% 17.00/2.91 % (3622219)Termination phase: Saturation
% 17.00/2.91 % (3622219)Time elapsed: 0.118 s
% 17.00/2.91 % (3622219)Peak memory usage: 14 MB
% 17.00/2.91 % (3622219)Instructions burned: 131 (million)
% 17.00/2.91 % (3622230)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=555740061:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.00/2.91 % (3622231)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=1141052289:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.00/2.91 % (3622232)ott-21_1_sil=16000:fs=off:random_seed=3671098270:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 17.00/2.91 % (3622230)Instruction limit reached!
% 17.00/2.91 % (3622230)------------------------------
% 17.00/2.91 % (3622230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.91 % (3622230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.91 % (3622230)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622230)Termination reason: Instruction limit
% 15.21/5.35 % (3622230)Termination phase: Saturation
% 15.21/5.35 % (3622230)Time elapsed: 0.126 s
% 15.21/5.35 % (3622230)Peak memory usage: 14 MB
% 15.21/5.35 % (3622230)Instructions burned: 131 (million)
% 15.21/5.35 % (3622236)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1273260293:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 15.21/5.35 % TRYING [1]
% 15.21/5.35 % (3622232)Instruction limit reached!
% 15.21/5.35 % (3622232)------------------------------
% 15.21/5.35 % (3622232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622232)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622232)Termination reason: Instruction limit
% 15.21/5.35 % (3622232)Termination phase: Saturation
% 15.21/5.35 % (3622232)Time elapsed: 0.170 s
% 15.21/5.35 % (3622232)Peak memory usage: 14 MB
% 15.21/5.35 % (3622232)Instructions burned: 180 (million)
% 15.21/5.35 % TRYING [2]
% 15.21/5.35 % (3622238)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=93255382:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 15.21/5.35 % (3622228)Instruction limit reached!
% 15.21/5.35 % (3622228)------------------------------
% 15.21/5.35 % (3622228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622228)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622228)Termination reason: Instruction limit
% 15.21/5.35 % (3622228)Termination phase: Finite model building constraint generation
% 15.21/5.35 % (3622228)Time elapsed: 0.276 s
% 15.21/5.35 % (3622228)Peak memory usage: 24 MB
% 15.21/5.35 % (3622228)Instructions burned: 715 (million)
% 15.21/5.35 % (3622240)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=744121173:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 15.21/5.35 % (3622236)Instruction limit reached!
% 15.21/5.35 % (3622236)------------------------------
% 15.21/5.35 % (3622236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622236)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622236)Termination reason: Instruction limit
% 15.21/5.35 % (3622236)Termination phase: Saturation
% 15.21/5.35 % (3622236)Time elapsed: 0.269 s
% 15.21/5.35 % (3622236)Peak memory usage: 16 MB
% 15.21/5.35 % (3622236)Instructions burned: 477 (million)
% 15.21/5.35 % (3622242)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1413220897:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 15.21/5.35 % TRYING [1]
% 15.21/5.35 % TRYING [2]
% 15.21/5.35 % (3622231)Instruction limit reached!
% 15.21/5.35 % (3622231)------------------------------
% 15.21/5.35 % (3622231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622231)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622231)Termination reason: Instruction limit
% 15.21/5.35 % (3622231)Termination phase: Saturation
% 15.21/5.35 % (3622231)Time elapsed: 0.667 s
% 15.21/5.35 % (3622231)Peak memory usage: 19 MB
% 15.21/5.35 % (3622231)Instructions burned: 685 (million)
% 15.21/5.35 % (3622244)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4196827680:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 15.21/5.35 % TRYING [1]
% 15.21/5.35 % TRYING [3]
% 15.21/5.35 % TRYING [2]
% 15.21/5.35 % (3622240)Instruction limit reached!
% 15.21/5.35 % (3622240)------------------------------
% 15.21/5.35 % (3622240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622240)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622240)Termination reason: Instruction limit
% 15.21/5.35 % (3622240)Termination phase: Saturation
% 15.21/5.35 % (3622240)Time elapsed: 0.615 s
% 15.21/5.35 % (3622240)Peak memory usage: 21 MB
% 15.21/5.35 % (3622240)Instructions burned: 1179 (million)
% 15.21/5.35 % (3622246)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1951443305:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 15.21/5.35 % (3622238)Instruction limit reached!
% 15.21/5.35 % (3622238)------------------------------
% 15.21/5.35 % (3622238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622238)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622238)Termination reason: Instruction limit
% 15.21/5.35 % (3622238)Termination phase: Finite model building constraint generation
% 15.21/5.35 % (3622238)Time elapsed: 0.748 s
% 15.21/5.35 % (3622238)Peak memory usage: 34 MB
% 15.21/5.35 % (3622238)Instructions burned: 866 (million)
% 15.21/5.35 % (3622248)fmb+10_1_sil=64000:random_seed=3643449025:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 15.21/5.35 % (3622242)Instruction limit reached!
% 15.21/5.35 % (3622242)------------------------------
% 15.21/5.35 % (3622242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622242)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622242)Termination reason: Instruction limit
% 15.21/5.35 % (3622242)Termination phase: Finite model building constraint generation
% 15.21/5.35 % (3622242)Time elapsed: 0.796 s
% 15.21/5.35 % (3622242)Peak memory usage: 54 MB
% 15.21/5.35 % (3622242)Instructions burned: 889 (million)
% 15.21/5.35 % (3622250)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2936720810:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 15.21/5.35 % (3622246)Instruction limit reached!
% 15.21/5.35 % (3622246)------------------------------
% 15.21/5.35 % (3622246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622246)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622246)Termination reason: Instruction limit
% 15.21/5.35 % (3622246)Termination phase: Saturation
% 15.21/5.35 % (3622246)Time elapsed: 0.404 s
% 15.21/5.35 % (3622246)Peak memory usage: 21 MB
% 15.21/5.35 % (3622246)Instructions burned: 879 (million)
% 15.21/5.35 % (3622252)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1242071308:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 15.21/5.35 % (3622244)Instruction limit reached!
% 15.21/5.35 % (3622244)------------------------------
% 15.21/5.35 % (3622244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622244)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622244)Termination reason: Instruction limit
% 15.21/5.35 % (3622244)Termination phase: Saturation
% 15.21/5.35 % (3622244)Time elapsed: 0.752 s
% 15.21/5.35 % (3622244)Peak memory usage: 21 MB
% 15.21/5.35 % (3622244)Instructions burned: 692 (million)
% 15.21/5.35 % (3622254)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2371247238:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 15.21/5.35 % TRYING [1]
% 15.21/5.35 % TRYING [8]
% 15.21/5.35 % TRYING [2]
% 15.21/5.35 % (3622252)Instruction limit reached!
% 15.21/5.35 % (3622252)------------------------------
% 15.21/5.35 % (3622252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622252)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622252)Termination reason: Instruction limit
% 15.21/5.35 % (3622252)Termination phase: Finite model building constraint generation
% 15.21/5.35 % (3622252)Time elapsed: 0.415 s
% 15.21/5.35 % (3622252)Peak memory usage: 42 MB
% 15.21/5.35 % (3622252)Instructions burned: 921 (million)
% 15.21/5.35 % (3622256)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2925939055:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 15.21/5.35 % (3622250)Cannot represent all propositional literals internally
% 15.21/5.35 % (3622250)Refutation not found, incomplete strategy
% 15.21/5.35 % (3622250)------------------------------
% 15.21/5.35 % (3622250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622250)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622250)Termination reason: Refutation not found, incomplete strategy
% 15.21/5.35 % (3622250)Time elapsed: 0.506 s
% 15.21/5.35 % (3622250)Peak memory usage: 23 MB
% 15.21/5.35 % (3622250)Instructions burned: 628 (million)
% 15.21/5.35 % (3622250)------------------------------
% 15.21/5.35 % (3622250)------------------------------
% 15.21/5.35 % (3622258)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1557205371:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 15.21/5.35 % (3622258)Cannot represent all propositional literals internally
% 15.21/5.35 % (3622258)Refutation not found, incomplete strategy
% 15.21/5.35 % (3622258)------------------------------
% 15.21/5.35 % (3622258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622258)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622258)Termination reason: Refutation not found, incomplete strategy
% 15.21/5.35 % (3622258)Time elapsed: 0.578 s
% 15.21/5.35 % (3622258)Peak memory usage: 23 MB
% 15.21/5.35 % (3622258)Instructions burned: 663 (million)
% 15.21/5.35 % (3622258)------------------------------
% 15.21/5.35 % (3622258)------------------------------
% 15.21/5.35 % (3622260)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=975096732:fmbsr=2.30978:i=2174_2973 on theBenchmark for (2973ds/2174Mi)
% 15.21/5.35 % (3622256)Instruction limit reached!
% 15.21/5.35 % (3622256)------------------------------
% 15.21/5.35 % (3622256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622256)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622256)Termination reason: Instruction limit
% 15.21/5.35 % (3622256)Termination phase: Saturation
% 15.21/5.35 % (3622256)Time elapsed: 0.701 s
% 15.21/5.35 % (3622256)Peak memory usage: 27 MB
% 15.21/5.35 % (3622256)Instructions burned: 1473 (million)
% 15.21/5.35 % (3622262)ott-2_1_sil=16000:newcnf=on:random_seed=2482794243:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2973 on theBenchmark for (2973ds/869Mi)
% 15.21/5.35 % TRYING [4]
% 15.21/5.35 % (3622262)Instruction limit reached!
% 15.21/5.35 % (3622262)------------------------------
% 15.21/5.35 % (3622262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622262)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622262)Termination reason: Instruction limit
% 15.21/5.35 % (3622262)Termination phase: Saturation
% 15.21/5.35 % (3622262)Time elapsed: 0.803 s
% 15.21/5.35 % (3622262)Peak memory usage: 17 MB
% 15.21/5.35 % (3622262)Instructions burned: 870 (million)
% 15.21/5.35 % TRYING [3]
% 15.21/5.35 % (3622264)ott+10_1_sil=32000:tgt=ground:random_seed=2709743579:i=5114:av=off_2964 on theBenchmark for (2964ds/5114Mi)
% 15.21/5.35 % (3622260)Instruction limit reached!
% 15.21/5.35 % (3622260)------------------------------
% 15.21/5.35 % (3622260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622260)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622260)Termination reason: Instruction limit
% 15.21/5.35 % (3622260)Termination phase: Finite model building preprocessing
% 15.21/5.35 % (3622260)Time elapsed: 1.023 s
% 15.21/5.35 % (3622260)Peak memory usage: 41 MB
% 15.21/5.35 % (3622260)Instructions burned: 2176 (million)
% 15.21/5.35 % (3622268)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=187292852:i=54282_2963 on theBenchmark for (2963ds/54282Mi)
% 15.21/5.35 % TRYING [1]
% 15.21/5.35 % TRYING [2]
% 15.21/5.35 % TRYING [3]
% 15.21/5.35 % (3622215) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3622209-3622215"...
% 15.21/5.35 % (3622215)...printing done.
% 15.21/5.35 % (3622215)Refutation found. Thanks to Tanya!
% 15.21/5.35 % SZS status Theorem for theBenchmark
% 15.21/5.35 % SZS output start Proof for theBenchmark
% See solution above
% 15.21/5.35 % (3622215)------------------------------
% 15.21/5.35 % (3622215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/5.35 % (3622215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/5.35 % (3622215)CaDiCaL version: 2.1.3
% 15.21/5.35 % (3622215)Termination reason: Refutation
% 15.21/5.35 % (3622215)Time elapsed: 4.909 s
% 15.21/5.35 % (3622215)Peak memory usage: 41 MB
% 15.21/5.35 % (3622215)Instructions burned: 4859 (million)
% 15.21/5.35 % (3622209)Success in time 5.06 s
% 15.21/5.35 % Vampire exiting
%------------------------------------------------------------------------------