%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP023^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 : Wed Sep 30 08:07:56 AM UTC 2026
% Result : Theorem 1.40s 0.50s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 97 ( 31 unt; 0 typ; 5 def)
% Number of atoms : 669 ( 155 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 1591 ( 159 ~; 129 |; 3 &;1280 @)
% ( 5 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 5 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 53 ( 50 usr; 15 con; 0-3 aty)
% Number of variables : 122 ( 0 sgn 120 !; 2 ?; 122 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
del: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_7,type,
tp__ty_2Erealax_2Ereal: $tType ).
thf(type_def_8,type,
tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $tType ).
thf(func_def_0,type,
bool: del ).
thf(func_def_1,type,
ind: del ).
thf(func_def_2,type,
arr: del > del > del ).
thf(func_def_3,type,
mem: $i > del > $o ).
thf(func_def_4,type,
ap: $i > $i > $i ).
thf(func_def_5,type,
lam: del > ( $i > $i ) > $i ).
thf(func_def_6,type,
p: $i > $o ).
thf(func_def_7,type,
inj__o: $o > $i ).
thf(func_def_10,type,
c_2Ebool_2E_3F: del > $i ).
thf(func_def_11,type,
ty_2Erealax_2Ereal: del ).
thf(func_def_12,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
thf(func_def_13,type,
surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).
thf(func_def_14,type,
ty_2Epair_2Eprod: del > del > del ).
thf(func_def_15,type,
inj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal > $i ).
thf(func_def_16,type,
surj__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal: $i > tp__c_ty_2Epair_2Eprod_ty_2Erealax_2Ereal_ty_2Erealax_2Ereal ).
thf(func_def_18,type,
c_2Epred__set_2ESUBSET: del > $i ).
thf(func_def_19,type,
c_2Epair_2E_2C: del > del > $i ).
thf(func_def_27,type,
c_2Emin_2E_3D: del > $i ).
thf(func_def_28,type,
c_2Ebool_2E_21: del > $i ).
thf(func_def_31,type,
sP0: $i > $i > $i > $o ).
thf(func_def_32,type,
sP1: $i > $i > $i > $o ).
thf(func_def_33,type,
sP2: $i > $i > $i > $o ).
thf(func_def_34,type,
sP3: $i > $i > $i > $o ).
thf(func_def_35,type,
sP4: $i > $i > $i > $o ).
thf(func_def_36,type,
sP5: $i > $i > $i > $o ).
thf(func_def_37,type,
sP6: $i > $i > $i > $o ).
thf(func_def_38,type,
sP7: $i > $i > $i > $o ).
thf(func_def_39,type,
sP8: $i > $i > $i > $o ).
thf(func_def_40,type,
sP9: $i > $i > $i > $o ).
thf(func_def_41,type,
sP10: $i > $i > $i > $o ).
thf(func_def_42,type,
sP11: $i > $i > $o ).
thf(func_def_43,type,
sP12: $i > $i > $o ).
thf(func_def_44,type,
sP13: $i > $i > $i > $o ).
thf(func_def_45,type,
sP14: $i > $i > $i > $o ).
thf(func_def_46,type,
sP15: $i > $i > $i > $o ).
thf(func_def_47,type,
sK16: $i > del > $i ).
thf(func_def_48,type,
sK17: $i > del > $i ).
thf(func_def_49,type,
sK18: $i > del > $i > $i ).
thf(func_def_50,type,
sK19: tp__ty_2Erealax_2Ereal ).
thf(func_def_51,type,
sK20: tp__ty_2Erealax_2Ereal ).
thf(func_def_52,type,
vNOT: $o > $o ).
thf(f4,axiom,
! [X0: del,X2: $i,X1: del] :
( ( mem @ X2 @ ( arr @ X0 @ X1 ) )
=> ! [X3: $i] :
( ( mem @ X3 @ X0 )
=> ( mem @ ( ap @ X2 @ X3 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/ITP001/ITP001^2.ax',ap_tp) ).
thf(f13,axiom,
! [X0: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_inj_mem_ty_2Erealax_2Ereal) ).
thf(f18,axiom,
mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ereal__topology_2Eball) ).
thf(f20,axiom,
! [X0: del,X1: del] : ( mem @ ( c_2Epair_2E_2C @ X0 @ X1 ) @ ( arr @ X0 @ ( arr @ X1 @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Epair_2E_2C) ).
thf(f21,axiom,
mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ereal__topology_2Ecball) ).
thf(f49,axiom,
! [X1: tp__ty_2Erealax_2Ereal,X0: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBALL__SUBSET__CBALL) ).
thf(f50,axiom,
! [X0: $i] :
( ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ! [X1: $i] :
( ( mem @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X0 ) @ X1 ) )
& ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X1 ) ) )
=> ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__SUBSET) ).
thf(f51,axiom,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__CBALL) ).
thf(f62,conjecture,
! [X1: tp__ty_2Erealax_2Ereal,X0: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ereal__topology_2EBOUNDED__BALL) ).
thf(f63,negated_conjecture,
~ ! [X1: tp__ty_2Erealax_2Ereal,X0: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
thf(f68,plain,
! [X0: del,X1: $i,X2: del] :
( ( mem @ X1 @ ( arr @ X0 @ X2 ) )
=> ! [X3: $i] :
( ( mem @ X3 @ X0 )
=> ( mem @ ( ap @ X1 @ X3 ) @ X2 ) ) ),
inference(rectify,[],[f4]) ).
thf(f69,plain,
! [X2: del,X1: $i,X0: del] :
( ( $true
= ( mem @ X1 @ ( arr @ X0 @ X2 ) ) )
=> ! [X3: $i] :
( ( ( mem @ X3 @ X0 )
= $true )
=> ( $true
= ( mem @ ( ap @ X1 @ X3 ) @ X2 ) ) ) ),
inference(fool_elimination,[],[f68]) ).
thf(f76,plain,
mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
inference(rectify,[],[f18]) ).
thf(f77,plain,
( ( mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
= $true ),
inference(fool_elimination,[],[f76]) ).
thf(f80,plain,
! [X0: $i] :
( ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ! [X1: $i] :
( ( mem @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
=> ( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X0 ) @ X1 ) )
& ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X1 ) ) )
=> ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) ) ) ) ),
inference(rectify,[],[f50]) ).
thf(f81,plain,
! [X0: $i] :
( ( ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
= $true )
=> ! [X1: $i] :
( ( ( mem @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
= $true )
=> ( ( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X1 ) )
= $true )
& ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X0 ) @ X1 ) )
= $true ) )
=> ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) )
= $true ) ) ) ),
inference(fool_elimination,[],[f80]) ).
thf(f88,plain,
~ ! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) ),
inference(rectify,[],[f63]) ).
thf(f89,plain,
~ ! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f88]) ).
thf(f122,plain,
! [X0: del,X1: del] : ( mem @ ( c_2Epair_2E_2C @ X0 @ X1 ) @ ( arr @ X0 @ ( arr @ X1 @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f20]) ).
thf(f123,plain,
! [X0: del,X1: del] :
( ( mem @ ( c_2Epair_2E_2C @ X0 @ X1 ) @ ( arr @ X0 @ ( arr @ X1 @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) )
= $true ),
inference(fool_elimination,[],[f122]) ).
thf(f140,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) ),
inference(rectify,[],[f49]) ).
thf(f141,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( $true
= ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) ) ),
inference(fool_elimination,[],[f140]) ).
thf(f146,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] : ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) ),
inference(rectify,[],[f51]) ).
thf(f147,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f146]) ).
thf(f158,plain,
mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ),
inference(rectify,[],[f21]) ).
thf(f159,plain,
( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
= $true ),
inference(fool_elimination,[],[f158]) ).
thf(f166,plain,
! [X0: tp__ty_2Erealax_2Ereal] : ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal ),
inference(rectify,[],[f13]) ).
thf(f167,plain,
! [X0: tp__ty_2Erealax_2Ereal] :
( ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal )
= $true ),
inference(fool_elimination,[],[f166]) ).
thf(f215,plain,
! [X0: $i] :
( ! [X1: $i] :
( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) )
= $true )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X1 ) )
!= $true )
| ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X0 ) @ X1 ) )
!= $true )
| ( ( mem @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true ) )
| ( ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true ) ),
inference(ennf_transformation,[],[f81]) ).
thf(f216,plain,
! [X0: $i] :
( ( ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true )
| ! [X1: $i] :
( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X1 ) )
!= $true )
| ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X0 ) @ X1 ) )
!= $true )
| ( ( mem @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) )
= $true ) ) ),
inference(flattening,[],[f215]) ).
thf(f226,plain,
! [X1: $i,X2: del,X0: del] :
( ( $true
!= ( mem @ X1 @ ( arr @ X0 @ X2 ) ) )
| ! [X3: $i] :
( ( $true
= ( mem @ ( ap @ X1 @ X3 ) @ X2 ) )
| ( ( mem @ X3 @ X0 )
!= $true ) ) ),
inference(ennf_transformation,[],[f69]) ).
thf(f236,plain,
? [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) )
!= $true ),
inference(ennf_transformation,[],[f89]) ).
thf(f292,plain,
! [X0: $i,X1: del,X2: del] :
( ( $true
!= ( mem @ X0 @ ( arr @ X2 @ X1 ) ) )
| ! [X3: $i] :
( ( $true
= ( mem @ ( ap @ X0 @ X3 ) @ X1 ) )
| ( ( mem @ X3 @ X2 )
!= $true ) ) ),
inference(rectify,[],[f226]) ).
thf(f299,plain,
( $true
!= ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20]),skolemize(X0,sK19),skolemize(X1,sK20)],[f236]) ).
thf(f347,plain,
! [X0: tp__ty_2Erealax_2Ereal] :
( ( mem @ ( inj__ty_2Erealax_2Ereal @ X0 ) @ ty_2Erealax_2Ereal )
= $true ),
inference(cnf_transformation,[],[f167]) ).
thf(f348,plain,
! [X0: $i,X1: $i] :
( ( ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ X0 ) @ X1 ) )
!= $true )
| ( ( mem @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X0 ) )
= $true )
| ( ( mem @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ X1 ) )
!= $true ) ),
inference(cnf_transformation,[],[f216]) ).
thf(f349,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( $true
= ( p @ ( ap @ ( ap @ ( c_2Epred__set_2ESUBSET @ ty_2Erealax_2Ereal ) @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f141]) ).
thf(f398,plain,
( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
= $true ),
inference(cnf_transformation,[],[f159]) ).
thf(f406,plain,
! [X2: del,X3: $i,X0: $i,X1: del] :
( ( $true
= ( mem @ ( ap @ X0 @ X3 ) @ X1 ) )
| ( ( mem @ X3 @ X2 )
!= $true )
| ( $true
!= ( mem @ X0 @ ( arr @ X2 @ X1 ) ) ) ),
inference(cnf_transformation,[],[f292]) ).
thf(f407,plain,
! [X0: del,X1: del] :
( ( mem @ ( c_2Epair_2E_2C @ X0 @ X1 ) @ ( arr @ X0 @ ( arr @ X1 @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) )
= $true ),
inference(cnf_transformation,[],[f123]) ).
thf(f415,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f147]) ).
thf(f416,plain,
( ( mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
= $true ),
inference(cnf_transformation,[],[f77]) ).
thf(f423,plain,
( $true
!= ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) ) ) ) ),
inference(cnf_transformation,[],[f299]) ).
thf(f519,definition,
( spl21_1
<=> ( $true
= ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl21_1])],[avatar_definition]) ).
thf(f521,plain,
( ( $true
!= ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) ) ) ) )
| spl21_1 ),
inference(avatar_component_clause,[],[f519]) ).
thf(f522,plain,
~ spl21_1,
inference(avatar_split_clause,[],[f423,f519]) ).
thf(f524,definition,
( spl21_2
<=> ( ( mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl21_2])],[avatar_definition]) ).
thf(f526,plain,
( ( ( mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
= $true )
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f524]) ).
thf(f527,plain,
spl21_2,
inference(avatar_split_clause,[],[f416,f524]) ).
thf(f539,definition,
( spl21_5
<=> ( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl21_5])],[avatar_definition]) ).
thf(f541,plain,
( ( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
= $true )
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f539]) ).
thf(f542,plain,
spl21_5,
inference(avatar_split_clause,[],[f398,f539]) ).
thf(f640,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true )
| ( ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true )
| ( $true != $true )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
!= $true )
| ( $true
!= ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) ),
inference(superposition,[],[f348,f349]) ).
thf(f643,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
!= $true )
| ( $true
!= ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
| ( ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f640]) ).
thf(f644,plain,
! [X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( $true
!= ( mem @ ( ap @ c_2Ereal__topology_2Ecball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true )
| ( ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f643,f415]) ).
thf(f645,plain,
! [X2: del,X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true )
| ( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X2 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ X2 ) ) ),
inference(superposition,[],[f644,f406]) ).
thf(f648,plain,
! [X2: del,X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( ( mem @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) )
!= $true )
| ( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X2 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
!= $true )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ X2 ) )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f645]) ).
thf(f649,plain,
! [X2: del,X3: del,X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ X2 ) )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ X3 ) )
| ( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X2 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
!= $true )
| ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X3 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f648,f406]) ).
thf(f651,plain,
! [X2: del,X3: del,X0: tp__ty_2Erealax_2Ereal,X1: tp__ty_2Erealax_2Ereal] :
( ( ( p @ ( ap @ c_2Ereal__topology_2Ebounded__def @ ( ap @ c_2Ereal__topology_2Eball @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) ) ) )
= $true )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ X3 ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X3 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ X0 ) ) @ ( inj__ty_2Erealax_2Ereal @ X1 ) ) @ X2 ) )
| ( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X2 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f649]) ).
thf(f655,plain,
( ! [X0: del,X1: del] :
( ( $true
!= ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) @ X0 ) )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) @ X1 ) )
| ( $true != $true ) )
| spl21_1 ),
inference(superposition,[],[f521,f651]) ).
thf(f656,plain,
( ! [X0: del,X1: del] :
( ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) @ X0 ) )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) @ X1 ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) ) )
| spl21_1 ),
inference(trivial_inequality_removal,[],[f655]) ).
thf(f660,definition,
( spl21_7
<=> ! [X1: del] :
( ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) @ X1 ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl21_7])],[avatar_definition]) ).
thf(f661,plain,
( ! [X1: del] :
( ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) @ X1 ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) ) )
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f660]) ).
thf(f663,definition,
( spl21_8
<=> ! [X0: del] :
( ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl21_8])],[avatar_definition]) ).
thf(f664,plain,
( ! [X0: del] :
( ( $true
!= ( mem @ ( ap @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( inj__ty_2Erealax_2Ereal @ sK19 ) ) @ X0 ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) ) )
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f663]) ).
thf(f665,plain,
( spl21_7
| spl21_8
| spl21_1 ),
inference(avatar_split_clause,[],[f656,f519,f663,f660]) ).
thf(f668,plain,
( ! [X0: del,X1: del] :
( ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( mem @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( arr @ X1 @ X0 ) ) ) )
| ~ spl21_8 ),
inference(superposition,[],[f664,f406]) ).
thf(f671,plain,
( ! [X0: del,X1: del] :
( ( $true
!= ( mem @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( arr @ X1 @ X0 ) ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ X1 )
!= $true ) )
| ~ spl21_8 ),
inference(trivial_inequality_removal,[],[f668]) ).
thf(f673,plain,
( ! [X2: del,X0: del,X1: del] :
( ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ X0 ) )
| ( ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( mem @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ X2 @ ( arr @ X0 @ X1 ) ) ) ) )
| ~ spl21_8 ),
inference(superposition,[],[f671,f406]) ).
thf(f676,plain,
( ! [X2: del,X0: del,X1: del] :
( ( $true
!= ( mem @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ X2 @ ( arr @ X0 @ X1 ) ) ) )
| ( ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ X2 )
!= $true )
| ( $true
!= ( mem @ c_2Ereal__topology_2Eball @ ( arr @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ X0 ) ) )
| ~ spl21_8 ),
inference(trivial_inequality_removal,[],[f673]) ).
thf(f686,plain,
( ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ ty_2Erealax_2Ereal ) )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ ty_2Erealax_2Ereal ) )
| ( ( mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
!= $true )
| ( $true != $true )
| ~ spl21_8 ),
inference(superposition,[],[f676,f407]) ).
thf(f689,plain,
( ( ( mem @ c_2Ereal__topology_2Eball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
!= $true )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ ty_2Erealax_2Ereal ) )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ ty_2Erealax_2Ereal ) )
| ~ spl21_8 ),
inference(trivial_inequality_removal,[],[f686]) ).
thf(f690,plain,
( ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ ty_2Erealax_2Ereal ) )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ ty_2Erealax_2Ereal ) )
| ~ spl21_2
| ~ spl21_8 ),
inference(forward_subsumption_resolution,[],[f689,f526]) ).
thf(f691,plain,
( ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ ty_2Erealax_2Ereal ) )
| ~ spl21_2
| ~ spl21_8 ),
inference(forward_subsumption_resolution,[],[f690,f347]) ).
thf(f692,plain,
( $false
| ~ spl21_2
| ~ spl21_8 ),
inference(forward_subsumption_resolution,[],[f691,f347]) ).
thf(f693,plain,
( ~ spl21_2
| ~ spl21_8 ),
inference(avatar_contradiction_clause,[],[f692]) ).
thf(f694,plain,
( ! [X0: del,X1: del] :
( ( $true != $true )
| ( ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ X1 )
!= $true )
| ( $true
!= ( mem @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( arr @ X1 @ X0 ) ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) ) )
| ~ spl21_7 ),
inference(superposition,[],[f661,f406]) ).
thf(f698,plain,
( ! [X0: del,X1: del] :
( ( $true
!= ( mem @ ( ap @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( inj__ty_2Erealax_2Ereal @ sK20 ) ) @ ( arr @ X1 @ X0 ) ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X0 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ X1 )
!= $true ) )
| ~ spl21_7 ),
inference(trivial_inequality_removal,[],[f694]) ).
thf(f699,plain,
( ! [X2: del,X0: del,X1: del] :
( ( $true != $true )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ X0 ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( $true
!= ( mem @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ X2 @ ( arr @ X0 @ X1 ) ) ) )
| ( ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ X2 )
!= $true ) )
| ~ spl21_7 ),
inference(superposition,[],[f698,f406]) ).
thf(f702,plain,
( ! [X2: del,X0: del,X1: del] :
( ( $true
!= ( mem @ ( c_2Epair_2E_2C @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ X2 @ ( arr @ X0 @ X1 ) ) ) )
| ( $true
!= ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ X1 @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) ) )
| ( ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ X2 )
!= $true )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ X0 ) ) )
| ~ spl21_7 ),
inference(trivial_inequality_removal,[],[f699]) ).
thf(f712,plain,
( ( $true != $true )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ ty_2Erealax_2Ereal ) )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ ty_2Erealax_2Ereal ) )
| ( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
!= $true )
| ~ spl21_7 ),
inference(superposition,[],[f702,f407]) ).
thf(f715,plain,
( ( ( mem @ c_2Ereal__topology_2Ecball @ ( arr @ ( ty_2Epair_2Eprod @ ty_2Erealax_2Ereal @ ty_2Erealax_2Ereal ) @ ( arr @ ty_2Erealax_2Ereal @ bool ) ) )
!= $true )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ ty_2Erealax_2Ereal ) )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ ty_2Erealax_2Ereal ) )
| ~ spl21_7 ),
inference(trivial_inequality_removal,[],[f712]) ).
thf(f716,plain,
( ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK20 ) @ ty_2Erealax_2Ereal ) )
| ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ ty_2Erealax_2Ereal ) )
| ~ spl21_5
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f715,f541]) ).
thf(f717,plain,
( ( $true
!= ( mem @ ( inj__ty_2Erealax_2Ereal @ sK19 ) @ ty_2Erealax_2Ereal ) )
| ~ spl21_5
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f716,f347]) ).
thf(f718,plain,
( $false
| ~ spl21_5
| ~ spl21_7 ),
inference(forward_subsumption_resolution,[],[f717,f347]) ).
thf(f719,plain,
( ~ spl21_5
| ~ spl21_7 ),
inference(avatar_contradiction_clause,[],[f718]) ).
cnf(s1,plain,
~ spl21_1,
inference(sat_conversion,[],[f522]) ).
cnf(s2,plain,
spl21_2,
inference(sat_conversion,[],[f527]) ).
cnf(s5,plain,
spl21_5,
inference(sat_conversion,[],[f542]) ).
cnf(s7,plain,
( spl21_1
| spl21_7
| spl21_8 ),
inference(sat_conversion,[],[f665]) ).
cnf(s10,plain,
( ~ spl21_2
| ~ spl21_8 ),
inference(sat_conversion,[],[f693]) ).
cnf(s11,plain,
( ~ spl21_5
| ~ spl21_7 ),
inference(sat_conversion,[],[f719]) ).
cnf(s12,plain,
~ spl21_7,
inference(rat,[],[s11,s5]) ).
cnf(s13,plain,
~ spl21_8,
inference(rat,[],[s10,s2]) ).
cnf(s15,plain,
spl21_1,
inference(rat,[],[s7,s12,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s15]) ).
thf(f720,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP023^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n004.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:35:23 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.37 % (1732259)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.68/0.37 % (1732268)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2462050257:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.68/0.37 % (1732270)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.68/0.37 % (1732270)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.68/0.37 % (1732268)Instruction limit reached!
% 0.68/0.37 % (1732268)------------------------------
% 0.68/0.37 % (1732268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.37 % (1732268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.37 % (1732268)CaDiCaL version: 2.1.3
% 0.68/0.37 % (1732268)Termination reason: Instruction limit
% 0.68/0.37 % (1732268)Termination phase: Property scanning
% 0.68/0.37 % (1732268)Time elapsed: 0.006 s
% 0.68/0.37 % (1732268)Peak memory usage: 10 MB
% 0.68/0.37 % (1732268)Instructions burned: 29 (million)
% 0.68/0.37 % (1732264)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1200148654:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.68/0.37 % (1732265)lrs+10_16_si=on:nwc=1.5:random_seed=3498413215:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.68/0.37 % (1732266)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2512229208:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.68/0.37 % (1732267)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3284026371:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.68/0.37 % (1732269)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4027995580:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.68/0.37 % (1732270)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=952886952:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.68/0.37 % (1732266)Instruction limit reached!
% 0.68/0.37 % (1732266)------------------------------
% 0.68/0.37 % (1732266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.37 % (1732266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.37 % (1732266)CaDiCaL version: 2.1.3
% 0.68/0.37 % (1732266)Termination reason: Instruction limit
% 0.68/0.37 % (1732266)Termination phase: shuffling
% 0.68/0.37 % (1732266)Time elapsed: 0.002 s
% 0.68/0.37 % (1732266)Peak memory usage: 9 MB
% 0.68/0.37 % (1732266)Instructions burned: 4 (million)
% 0.68/0.37 % (1732265)Instruction limit reached!
% 0.68/0.37 % (1732265)------------------------------
% 0.68/0.37 % (1732265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.37 % (1732265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.37 % (1732265)CaDiCaL version: 2.1.3
% 0.68/0.37 % (1732265)Termination reason: Instruction limit
% 0.68/0.37 % (1732265)Termination phase: Property scanning
% 0.68/0.37 % (1732265)Time elapsed: 0.008 s
% 0.68/0.37 % (1732265)Peak memory usage: 10 MB
% 0.68/0.37 % (1732265)Instructions burned: 19 (million)
% 0.68/0.37 % (1732273)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3590134818:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.68/0.37 % (1732273)Instruction limit reached!
% 0.68/0.37 % (1732273)------------------------------
% 0.68/0.37 % (1732273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.37 % (1732273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.37 % (1732273)CaDiCaL version: 2.1.3
% 0.68/0.37 % (1732273)Termination reason: Instruction limit
% 0.68/0.37 % (1732273)Termination phase: shuffling
% 0.68/0.37 % (1732273)Time elapsed: 0.001 s
% 0.68/0.37 % (1732273)Peak memory usage: 9 MB
% 0.68/0.37 % (1732273)Instructions burned: 4 (million)
% 0.68/0.37 % (1732279)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2831849970:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.68/0.41 % (1732282)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2709453549:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.68/0.41 % (1732280)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.68/0.41 % (1732279)Instruction limit reached!
% 0.68/0.41 % (1732279)------------------------------
% 0.68/0.41 % (1732279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.41 % (1732279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.41 % (1732279)CaDiCaL version: 2.1.3
% 0.68/0.41 % (1732279)Termination reason: Instruction limit
% 0.68/0.41 % (1732279)Termination phase: Property scanning
% 0.68/0.41 % (1732279)Time elapsed: 0.003 s
% 0.68/0.41 % (1732279)Peak memory usage: 10 MB
% 0.68/0.41 % (1732279)Instructions burned: 7 (million)
% 0.68/0.41 % (1732282)Instruction limit reached!
% 0.68/0.41 % (1732282)------------------------------
% 0.68/0.41 % (1732282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.41 % (1732282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.41 % (1732282)CaDiCaL version: 2.1.3
% 0.68/0.41 % (1732282)Termination reason: Instruction limit
% 0.68/0.41 % (1732282)Termination phase: Preprocessing 3
% 0.68/0.41 % (1732282)Time elapsed: 0.003 s
% 0.68/0.41 % (1732282)Peak memory usage: 10 MB
% 0.68/0.41 % (1732282)Instructions burned: 13 (million)
% 0.68/0.41 % (1732280)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=417713362:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.68/0.41 % (1732280)Instruction limit reached!
% 0.68/0.41 % (1732280)------------------------------
% 0.68/0.41 % (1732280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.41 % (1732280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.41 % (1732280)CaDiCaL version: 2.1.3
% 0.68/0.41 % (1732280)Termination reason: Instruction limit
% 0.68/0.41 % (1732280)Termination phase: Property scanning
% 0.68/0.41 % (1732280)Time elapsed: 0.007 s
% 0.68/0.41 % (1732280)Peak memory usage: 10 MB
% 0.68/0.41 % (1732280)Instructions burned: 14 (million)
% 0.68/0.41 % (1732286)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=2589123998:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.68/0.41 % (1732269)Instruction limit reached!
% 0.68/0.41 % (1732269)------------------------------
% 0.68/0.41 % (1732269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.41 % (1732269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.41 % (1732269)CaDiCaL version: 2.1.3
% 0.68/0.41 % (1732269)Termination reason: Instruction limit
% 0.68/0.41 % (1732269)Termination phase: Saturation
% 0.68/0.41 % (1732269)Time elapsed: 0.037 s
% 0.68/0.41 % (1732269)Peak memory usage: 12 MB
% 0.68/0.41 % (1732269)Instructions burned: 76 (million)
% 0.68/0.41 % (1732285)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.68/0.41 % (1732285)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.68/0.41 % (1732264)Instruction limit reached!
% 0.68/0.41 % (1732264)------------------------------
% 0.68/0.41 % (1732264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.41 % (1732264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.41 % (1732264)CaDiCaL version: 2.1.3
% 0.68/0.41 % (1732264)Termination reason: Instruction limit
% 0.68/0.41 % (1732264)Termination phase: Saturation
% 0.68/0.41 % (1732264)Time elapsed: 0.042 s
% 0.68/0.41 % (1732264)Peak memory usage: 12 MB
% 0.68/0.41 % (1732264)Instructions burned: 89 (million)
% 0.68/0.41 % (1732285)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=715443650:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.68/0.41 % (1732290)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.68/0.44 % (1732288)lrs+10_1_si=on:cs=on:random_seed=645918382:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.68/0.44 % (1732285)Instruction limit reached!
% 0.68/0.44 % (1732285)------------------------------
% 0.68/0.44 % (1732285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.44 % (1732285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.44 % (1732285)CaDiCaL version: 2.1.3
% 0.68/0.44 % (1732285)Termination reason: Instruction limit
% 0.68/0.44 % (1732285)Termination phase: Property scanning
% 0.68/0.44 % (1732285)Time elapsed: 0.012 s
% 0.68/0.44 % (1732285)Peak memory usage: 10 MB
% 0.68/0.44 % (1732285)Instructions burned: 29 (million)
% 0.68/0.44 % (1732290)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2857599038:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.68/0.44 % (1732288)Instruction limit reached!
% 0.68/0.44 % (1732288)------------------------------
% 0.68/0.44 % (1732288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.44 % (1732288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.44 % (1732288)CaDiCaL version: 2.1.3
% 0.68/0.44 % (1732290)Instruction limit reached!
% 0.68/0.44 % (1732290)------------------------------
% 0.68/0.44 % (1732290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.44 % (1732288)Termination reason: Instruction limit
% 0.68/0.44 % (1732288)Termination phase: Naming
% 0.68/0.44 % (1732288)Time elapsed: 0.004 s
% 0.68/0.44 % (1732288)Peak memory usage: 10 MB
% 0.68/0.44 % (1732288)Instructions burned: 9 (million)
% 0.68/0.44 % (1732290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.44 % (1732290)CaDiCaL version: 2.1.3
% 0.68/0.44 % (1732290)Termination reason: Instruction limit
% 0.68/0.44 % (1732290)Termination phase: shuffling
% 0.68/0.44 % (1732290)Time elapsed: 0.002 s
% 0.68/0.44 % (1732290)Peak memory usage: 10 MB
% 0.68/0.44 % (1732290)Instructions burned: 4 (million)
% 0.68/0.44 % (1732286)Instruction limit reached!
% 0.68/0.44 % (1732286)------------------------------
% 0.68/0.44 % (1732286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.44 % (1732286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.44 % (1732286)CaDiCaL version: 2.1.3
% 0.68/0.44 % (1732286)Termination reason: Instruction limit
% 0.68/0.44 % (1732286)Termination phase: Saturation
% 0.68/0.44 % (1732286)Time elapsed: 0.024 s
% 0.68/0.44 % (1732286)Peak memory usage: 12 MB
% 0.68/0.44 % (1732286)Instructions burned: 86 (million)
% 0.68/0.44 % (1732291)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2276808774:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.68/0.44 % (1732297)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2663663754:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.68/0.44 % (1732297)Instruction limit reached!
% 0.68/0.44 % (1732297)------------------------------
% 0.68/0.44 % (1732297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.44 % (1732297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.44 % (1732297)CaDiCaL version: 2.1.3
% 0.68/0.44 % (1732297)Termination reason: Instruction limit
% 0.68/0.44 % (1732297)Termination phase: Property scanning
% 0.68/0.44 % (1732297)Time elapsed: 0.004 s
% 0.68/0.44 % (1732297)Peak memory usage: 10 MB
% 0.68/0.44 % (1732297)Instructions burned: 18 (million)
% 0.68/0.44 % (1732294)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=895055407:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.68/0.44 % (1732296)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3106431149:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.68/0.44 % (1732298)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4158891143:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.68/0.44 % (1732291)Instruction limit reached!
% 0.68/0.44 % (1732291)------------------------------
% 0.68/0.44 % (1732291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.44 % (1732291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.47 % (1732291)CaDiCaL version: 2.1.3
% 1.40/0.47 % (1732291)Termination reason: Instruction limit
% 1.40/0.47 % (1732291)Termination phase: Saturation
% 1.40/0.47 % (1732291)Time elapsed: 0.017 s
% 1.40/0.47 % (1732291)Peak memory usage: 12 MB
% 1.40/0.47 % (1732291)Instructions burned: 38 (million)
% 1.40/0.47 % (1732270)Instruction limit reached!
% 1.40/0.47 % (1732270)------------------------------
% 1.40/0.47 % (1732270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.47 % (1732270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.47 % (1732270)CaDiCaL version: 2.1.3
% 1.40/0.47 % (1732270)Termination reason: Instruction limit
% 1.40/0.47 % (1732270)Termination phase: Saturation
% 1.40/0.47 % (1732270)Time elapsed: 0.079 s
% 1.40/0.47 % (1732270)Peak memory usage: 12 MB
% 1.40/0.47 % (1732270)Instructions burned: 158 (million)
% 1.40/0.47 % (1732296)Instruction limit reached!
% 1.40/0.47 % (1732296)------------------------------
% 1.40/0.47 % (1732296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.47 % (1732296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.47 % (1732296)CaDiCaL version: 2.1.3
% 1.40/0.47 % (1732296)Termination reason: Instruction limit
% 1.40/0.47 % (1732296)Termination phase: Saturation
% 1.40/0.47 % (1732296)Time elapsed: 0.012 s
% 1.40/0.47 % (1732296)Peak memory usage: 11 MB
% 1.40/0.47 % (1732296)Instructions burned: 27 (million)
% 1.40/0.47 % (1732294)Refutation not found, incomplete strategy
% 1.40/0.47 % (1732294)------------------------------
% 1.40/0.47 % (1732294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.47 % (1732294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.47 % (1732294)CaDiCaL version: 2.1.3
% 1.40/0.47 % (1732294)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.47 % (1732294)Time elapsed: 0.016 s
% 1.40/0.47 % (1732294)Peak memory usage: 13 MB
% 1.40/0.47 % (1732294)Instructions burned: 35 (million)
% 1.40/0.47 % (1732294)------------------------------
% 1.40/0.47 % (1732294)------------------------------
% 1.40/0.47 % (1732302)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=541464843:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.40/0.47 % (1732305)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2264212360:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.40/0.47 % (1732306)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1221526633:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.40/0.47 % (1732305)Instruction limit reached!
% 1.40/0.47 % (1732305)------------------------------
% 1.40/0.47 % (1732305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.47 % (1732305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.47 % (1732305)CaDiCaL version: 2.1.3
% 1.40/0.47 % (1732305)Termination reason: Instruction limit
% 1.40/0.47 % (1732305)Termination phase: shuffling
% 1.40/0.47 % (1732305)Time elapsed: 0.001 s
% 1.40/0.47 % (1732305)Peak memory usage: 9 MB
% 1.40/0.47 % (1732305)Instructions burned: 2 (million)
% 1.40/0.47 % (1732302)Instruction limit reached!
% 1.40/0.47 % (1732302)------------------------------
% 1.40/0.47 % (1732302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.47 % (1732302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.47 % (1732302)CaDiCaL version: 2.1.3
% 1.40/0.47 % (1732302)Termination reason: Instruction limit
% 1.40/0.47 % (1732302)Termination phase: Property scanning
% 1.40/0.47 % (1732302)Time elapsed: 0.007 s
% 1.40/0.47 % (1732302)Peak memory usage: 10 MB
% 1.40/0.47 % (1732302)Instructions burned: 16 (million)
% 1.40/0.47 % (1732307)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=860748301:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.40/0.47 % (1732308)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2580135176:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.40/0.47 % (1732306)Instruction limit reached!
% 1.40/0.47 % (1732306)------------------------------
% 1.40/0.47 % (1732306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.47 % (1732306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732306)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732306)Termination reason: Instruction limit
% 1.40/0.50 % (1732306)Termination phase: Saturation
% 1.40/0.50 % (1732306)Time elapsed: 0.012 s
% 1.40/0.50 % (1732306)Peak memory usage: 11 MB
% 1.40/0.50 % (1732306)Instructions burned: 27 (million)
% 1.40/0.50 % (1732312)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.40/0.50 % (1732312)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.40/0.50 % (1732313)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.40/0.50 % (1732312)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=859924974:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.40/0.50 % (1732307)Instruction limit reached!
% 1.40/0.50 % (1732307)------------------------------
% 1.40/0.50 % (1732307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732307)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732307)Termination reason: Instruction limit
% 1.40/0.50 % (1732307)Termination phase: Property scanning
% 1.40/0.50 % (1732307)Time elapsed: 0.010 s
% 1.40/0.50 % (1732307)Peak memory usage: 10 MB
% 1.40/0.50 % (1732307)Instructions burned: 24 (million)
% 1.40/0.50 % (1732313)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1082317030:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.40/0.50 % (1732312)Instruction limit reached!
% 1.40/0.50 % (1732312)------------------------------
% 1.40/0.50 % (1732312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732312)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732312)Termination reason: Instruction limit
% 1.40/0.50 % (1732312)Termination phase: Property scanning
% 1.40/0.50 % (1732312)Time elapsed: 0.006 s
% 1.40/0.50 % (1732312)Peak memory usage: 10 MB
% 1.40/0.50 % (1732312)Instructions burned: 15 (million)
% 1.40/0.50 % (1732313)Instruction limit reached!
% 1.40/0.50 % (1732313)------------------------------
% 1.40/0.50 % (1732313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732313)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732313)Termination reason: Instruction limit
% 1.40/0.50 % (1732313)Termination phase: Preprocessing 1
% 1.40/0.50 % (1732313)Time elapsed: 0.004 s
% 1.40/0.50 % (1732313)Peak memory usage: 10 MB
% 1.40/0.50 % (1732313)Instructions burned: 9 (million)
% 1.40/0.50 % (1732316)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=2604274338:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.40/0.50 % (1732319)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2168396023:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.40/0.50 % (1732308)Instruction limit reached!
% 1.40/0.50 % (1732308)------------------------------
% 1.40/0.50 % (1732308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732308)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732308)Termination reason: Instruction limit
% 1.40/0.50 % (1732308)Termination phase: Saturation
% 1.40/0.50 % (1732308)Time elapsed: 0.028 s
% 1.40/0.50 % (1732308)Peak memory usage: 12 MB
% 1.40/0.50 % (1732308)Instructions burned: 60 (million)
% 1.40/0.50 % (1732321)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3441857912:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.40/0.50 % (1732319)Instruction limit reached!
% 1.40/0.50 % (1732319)------------------------------
% 1.40/0.50 % (1732319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732319)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732319)Termination reason: Instruction limit
% 1.40/0.50 % (1732319)Termination phase: shuffling
% 1.40/0.50 % (1732319)Time elapsed: 0.004 s
% 1.40/0.50 % (1732319)Peak memory usage: 10 MB
% 1.40/0.50 % (1732319)Instructions burned: 8 (million)
% 1.40/0.50 % (1732320)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1224536221:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.40/0.50 % (1732316)Instruction limit reached!
% 1.40/0.50 % (1732316)------------------------------
% 1.40/0.50 % (1732316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732316)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732316)Termination reason: Instruction limit
% 1.40/0.50 % (1732316)Termination phase: Saturation
% 1.40/0.50 % (1732316)Time elapsed: 0.014 s
% 1.40/0.50 % (1732316)Peak memory usage: 11 MB
% 1.40/0.50 % (1732316)Instructions burned: 34 (million)
% 1.40/0.50 % (1732321)Instruction limit reached!
% 1.40/0.50 % (1732321)------------------------------
% 1.40/0.50 % (1732321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732321)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732321)Termination reason: Instruction limit
% 1.40/0.50 % (1732321)Termination phase: Property scanning
% 1.40/0.50 % (1732321)Time elapsed: 0.005 s
% 1.40/0.50 % (1732321)Peak memory usage: 11 MB
% 1.40/0.50 % (1732321)Instructions burned: 23 (million)
% 1.40/0.50 % (1732320)Instruction limit reached!
% 1.40/0.50 % (1732320)------------------------------
% 1.40/0.50 % (1732320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732320)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732320)Termination reason: Instruction limit
% 1.40/0.50 % (1732320)Termination phase: Saturation
% 1.40/0.50 % (1732320)Time elapsed: 0.011 s
% 1.40/0.50 % (1732320)Peak memory usage: 11 MB
% 1.40/0.50 % (1732320)Instructions burned: 24 (million)
% 1.40/0.50 % (1732329)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3761847721:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.40/0.50 % (1732324)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3948855405:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.40/0.50 % (1732327)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=902664133:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.40/0.50 % (1732328)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2371972284:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.40/0.50 % (1732329)Instruction limit reached!
% 1.40/0.50 % (1732329)------------------------------
% 1.40/0.50 % (1732329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732329)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732329)Termination reason: Instruction limit
% 1.40/0.50 % (1732329)Termination phase: Saturation
% 1.40/0.50 % (1732329)Time elapsed: 0.011 s
% 1.40/0.50 % (1732329)Peak memory usage: 12 MB
% 1.40/0.50 % (1732329)Instructions burned: 43 (million)
% 1.40/0.50 % (1732330)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.40/0.50 % (1732330)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2712368477:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.40/0.50 % (1732330)Instruction limit reached!
% 1.40/0.50 % (1732330)------------------------------
% 1.40/0.50 % (1732330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732330)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732330)Termination reason: Instruction limit
% 1.40/0.50 % (1732330)Termination phase: Property scanning
% 1.40/0.50 % (1732330)Time elapsed: 0.004 s
% 1.40/0.50 % (1732330)Peak memory usage: 10 MB
% 1.40/0.50 % (1732330)Instructions burned: 9 (million)
% 1.40/0.50 % (1732335)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1239169660:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.40/0.50 % (1732328) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1732259-1732328"...
% 1.40/0.50 % (1732337)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2658632143:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 1.40/0.50 % (1732328)...printing done.
% 1.40/0.50 % (1732328)Refutation found. Thanks to Tanya!
% 1.40/0.50 % SZS status Theorem for theBenchmark
% 1.40/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.50 % (1732328)------------------------------
% 1.40/0.50 % (1732328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.50 % (1732328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.50 % (1732328)CaDiCaL version: 2.1.3
% 1.40/0.50 % (1732328)Termination reason: Refutation
% 1.40/0.50 % (1732328)Time elapsed: 0.036 s
% 1.40/0.50 % (1732328)Peak memory usage: 14 MB
% 1.40/0.50 % (1732328)Instructions burned: 72 (million)
% 1.40/0.50 % (1732259)Success in time 0.235 s
% 1.40/0.50 % Vampire exiting
%------------------------------------------------------------------------------