%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP018^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:21 AM UTC 2026
% Result : Theorem 7.74s 1.47s
% Output : Refutation 7.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 109 ( 82 unt; 0 typ; 13 def)
% Number of atoms : 409 ( 125 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 869 ( 28 ~; 23 |; 0 &; 806 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 4 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 46 usr; 21 con; 0-4 aty)
% Number of variables : 84 ( 0 ^; 82 !; 2 ?; 84 :)
% 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(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_9,type,
ty_2Erealax_2Ereal: del ).
thf(func_def_10,type,
inj__ty_2Erealax_2Ereal: tp__ty_2Erealax_2Ereal > $i ).
thf(func_def_11,type,
surj__ty_2Erealax_2Ereal: $i > tp__ty_2Erealax_2Ereal ).
thf(func_def_13,type,
fo__c_2Erealax_2Ereal__neg: tp__ty_2Erealax_2Ereal > tp__ty_2Erealax_2Ereal ).
thf(func_def_14,type,
ty_2Ebinary__ieee_2Efloat: del > del > del ).
thf(func_def_15,type,
c_2Ebinary__ieee_2Efloat__negate: del > del > $i ).
thf(func_def_16,type,
ty_2Epair_2Eprod: del > del > del ).
thf(func_def_17,type,
ty_2Ebool_2Eitself: del > del ).
thf(func_def_18,type,
c_2Ebinary__ieee_2Efloat__plus__min: del > del > $i ).
thf(func_def_19,type,
c_2Ebinary__ieee_2Efloat__to__real: del > del > $i ).
thf(func_def_20,type,
c_2Ebool_2Ethe__value: del > $i ).
thf(func_def_21,type,
c_2Ebinary__ieee_2Eulp: del > del > $i ).
thf(func_def_23,type,
c_2Emin_2E_3D: del > $i ).
thf(func_def_24,type,
c_2Ebool_2E_21: del > $i ).
thf(func_def_27,type,
sK0: ( $i > $i ) > del > del > $i ).
thf(func_def_28,type,
sK1: $i > $i > del > $i ).
thf(func_def_29,type,
sK2: $i > del > $i ).
thf(func_def_30,type,
sK3: del ).
thf(func_def_31,type,
sK4: del ).
thf(func_def_33,type,
sF6: del ).
thf(func_def_37,type,
sF10: tp__ty_2Erealax_2Ereal ).
thf(func_def_44,type,
sF17: tp__ty_2Erealax_2Ereal ).
thf(func_def_45,type,
vNOT: $o > $o ).
thf(func_def_46,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_48,type,
db1:
!>[X0: $tType] : X0 ).
thf(f4,axiom,
! [X0: del,X1: del,X2: $i] :
( ( 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(f10,axiom,
! [X0: $i] :
( ( mem @ X0 @ ty_2Erealax_2Ereal )
=> ( X0
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stp_iso_mem_ty_2Erealax_2Ereal) ).
thf(f14,axiom,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__plus__min) ).
thf(f15,axiom,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ ty_2Erealax_2Ereal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Efloat__to__real) ).
thf(f16,axiom,
! [X0: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebool_2Ethe__value) ).
thf(f17,axiom,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ty_2Erealax_2Ereal ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_c_2Ebinary__ieee_2Eulp) ).
thf(f24,axiom,
! [X0: del,X1: del,X2: $i] :
( ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) )
=> ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ X2 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
thf(f25,axiom,
! [X0: del,X1: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eulp) ).
thf(f28,conjecture,
! [X0: del,X1: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_thm_2Ebinary__ieee_2Eneg__ulp) ).
thf(f29,negated_conjecture,
~ ! [X0: del,X1: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
thf(f34,plain,
! [X0: del,X1: del,X2: $i] :
( ( mem @ X2 @ ( arr @ X0 @ X1 ) )
=> ! [X3: $i] :
( ( mem @ X3 @ X0 )
=> ( mem @ ( ap @ X2 @ X3 ) @ X1 ) ) ),
inference(rectify,[],[f4]) ).
thf(f35,plain,
! [X0: del,X1: del,X2: $i] :
( ( ( mem @ X2 @ ( arr @ X0 @ X1 ) )
= $true )
=> ! [X3: $i] :
( ( ( mem @ X3 @ X0 )
= $true )
=> ( ( mem @ ( ap @ X2 @ X3 ) @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f34]) ).
thf(f44,plain,
! [X0: $i] :
( ( mem @ X0 @ ty_2Erealax_2Ereal )
=> ( X0
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) ) ) ),
inference(rectify,[],[f10]) ).
thf(f45,plain,
! [X0: $i] :
( ( ( mem @ X0 @ ty_2Erealax_2Ereal )
= $true )
=> ( ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) )
= X0 ) ),
inference(fool_elimination,[],[f44]) ).
thf(f50,plain,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) ) ),
inference(rectify,[],[f14]) ).
thf(f51,plain,
! [X0: del,X1: del] :
( ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) ) )
= $true ),
inference(fool_elimination,[],[f50]) ).
thf(f52,plain,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ ty_2Erealax_2Ereal ) ),
inference(rectify,[],[f15]) ).
thf(f53,plain,
! [X0: del,X1: del] :
( ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ ty_2Erealax_2Ereal ) )
= $true ),
inference(fool_elimination,[],[f52]) ).
thf(f54,plain,
! [X0: del] : ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) ),
inference(rectify,[],[f16]) ).
thf(f55,plain,
! [X0: del] :
( ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) )
= $true ),
inference(fool_elimination,[],[f54]) ).
thf(f56,plain,
! [X0: del,X1: del] : ( mem @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ty_2Erealax_2Ereal ) ),
inference(rectify,[],[f17]) ).
thf(f57,plain,
! [X0: del,X1: del] :
( ( mem @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ty_2Erealax_2Ereal ) )
= $true ),
inference(fool_elimination,[],[f56]) ).
thf(f70,plain,
! [X0: del,X1: del,X2: $i] :
( ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) )
=> ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ X2 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ X2 ) ) ) ) ),
inference(rectify,[],[f24]) ).
thf(f71,plain,
! [X0: del,X1: del,X2: $i] :
( ( ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) )
= $true )
=> ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ X2 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ X2 ) ) ) ) ),
inference(fool_elimination,[],[f70]) ).
thf(f76,plain,
! [X0: del,X1: del,X2: $i] :
( ! [X3: $i] :
( ( ( mem @ ( ap @ X2 @ X3 ) @ X1 )
= $true )
| ( ( mem @ X3 @ X0 )
!= $true ) )
| ( ( mem @ X2 @ ( arr @ X0 @ X1 ) )
!= $true ) ),
inference(ennf_transformation,[],[f35]) ).
thf(f81,plain,
! [X0: $i] :
( ( ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) )
= X0 )
| ( ( mem @ X0 @ ty_2Erealax_2Ereal )
!= $true ) ),
inference(ennf_transformation,[],[f45]) ).
thf(f84,plain,
! [X0: del,X1: del,X2: $i] :
( ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ X2 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ X2 ) ) ) )
| ( ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) )
!= $true ) ),
inference(ennf_transformation,[],[f71]) ).
thf(f86,plain,
? [X0: del,X1: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f29]) ).
thf(f93,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sK3 @ sK4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ sK3 @ sK4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sK3 @ sK4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) ) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f86]) ).
thf(f97,plain,
! [X2: $i,X3: $i,X0: del,X1: del] :
( ( ( mem @ X2 @ ( arr @ X0 @ X1 ) )
!= $true )
| ( ( mem @ X3 @ X0 )
!= $true )
| ( ( mem @ ( ap @ X2 @ X3 ) @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f76]) ).
thf(f105,plain,
! [X0: $i] :
( ( ( mem @ X0 @ ty_2Erealax_2Ereal )
!= $true )
| ( ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ X0 ) )
= X0 ) ),
inference(cnf_transformation,[],[f81]) ).
thf(f109,plain,
! [X0: del,X1: del] :
( ( mem @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) ) )
= $true ),
inference(cnf_transformation,[],[f51]) ).
thf(f110,plain,
! [X0: del,X1: del] :
( ( mem @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) @ ty_2Erealax_2Ereal ) )
= $true ),
inference(cnf_transformation,[],[f53]) ).
thf(f111,plain,
! [X0: del] :
( ( mem @ ( c_2Ebool_2Ethe__value @ X0 ) @ ( ty_2Ebool_2Eitself @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f55]) ).
thf(f112,plain,
! [X0: del,X1: del] :
( ( mem @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) @ ty_2Erealax_2Ereal ) )
= $true ),
inference(cnf_transformation,[],[f57]) ).
thf(f122,plain,
! [X2: $i,X0: del,X1: del] :
( ( ( mem @ X2 @ ( ty_2Ebinary__ieee_2Efloat @ X0 @ X1 ) )
!= $true )
| ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ X0 @ X1 ) @ X2 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ X2 ) ) ) ) ),
inference(cnf_transformation,[],[f84]) ).
thf(f123,plain,
! [X0: del,X1: del] :
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ X0 @ X1 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ X0 @ X1 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ X0 @ X1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f125,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) ) ) )
!= ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sK3 @ sK4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ sK3 @ sK4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sK3 @ sK4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f93]) ).
thf(f129,definition,
( sF5
= ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
thf(f130,plain,
( ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 )
= sF5 ),
inference(reorient_equations,[],[f129]) ).
thf(f131,definition,
( sF6
= ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
thf(f132,plain,
( ( ty_2Epair_2Eprod @ sK3 @ sK4 )
= sF6 ),
inference(reorient_equations,[],[f131]) ).
thf(f133,definition,
( sF7
= ( c_2Ebool_2Ethe__value @ sF6 ) ),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
thf(f134,plain,
( ( c_2Ebool_2Ethe__value @ sF6 )
= sF7 ),
inference(reorient_equations,[],[f133]) ).
thf(f135,definition,
( sF8
= ( ap @ sF5 @ sF7 ) ),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
thf(f136,plain,
( ( ap @ sF5 @ sF7 )
= sF8 ),
inference(reorient_equations,[],[f135]) ).
thf(f137,definition,
( sF9
= ( ap @ c_2Erealax_2Ereal__neg @ sF8 ) ),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
thf(f138,plain,
( ( ap @ c_2Erealax_2Ereal__neg @ sF8 )
= sF9 ),
inference(reorient_equations,[],[f137]) ).
thf(f139,definition,
( sF10
= ( surj__ty_2Erealax_2Ereal @ sF9 ) ),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
thf(f140,plain,
( ( surj__ty_2Erealax_2Ereal @ sF9 )
= sF10 ),
inference(reorient_equations,[],[f139]) ).
thf(f141,definition,
( sF11
= ( c_2Ebinary__ieee_2Efloat__to__real @ sK3 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
thf(f142,plain,
( ( c_2Ebinary__ieee_2Efloat__to__real @ sK3 @ sK4 )
= sF11 ),
inference(reorient_equations,[],[f141]) ).
thf(f143,definition,
( sF12
= ( c_2Ebinary__ieee_2Efloat__negate @ sK3 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
thf(f144,plain,
( ( c_2Ebinary__ieee_2Efloat__negate @ sK3 @ sK4 )
= sF12 ),
inference(reorient_equations,[],[f143]) ).
thf(f145,definition,
( sF13
= ( c_2Ebinary__ieee_2Efloat__plus__min @ sK3 @ sK4 ) ),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
thf(f146,plain,
( ( c_2Ebinary__ieee_2Efloat__plus__min @ sK3 @ sK4 )
= sF13 ),
inference(reorient_equations,[],[f145]) ).
thf(f147,definition,
( sF14
= ( ap @ sF13 @ sF7 ) ),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
thf(f148,plain,
( ( ap @ sF13 @ sF7 )
= sF14 ),
inference(reorient_equations,[],[f147]) ).
thf(f149,definition,
( sF15
= ( ap @ sF12 @ sF14 ) ),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
thf(f150,plain,
( ( ap @ sF12 @ sF14 )
= sF15 ),
inference(reorient_equations,[],[f149]) ).
thf(f151,definition,
( sF16
= ( ap @ sF11 @ sF15 ) ),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
thf(f152,plain,
( ( ap @ sF11 @ sF15 )
= sF16 ),
inference(reorient_equations,[],[f151]) ).
thf(f153,definition,
( sF17
= ( surj__ty_2Erealax_2Ereal @ sF16 ) ),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
thf(f154,plain,
( ( surj__ty_2Erealax_2Ereal @ sF16 )
= sF17 ),
inference(reorient_equations,[],[f153]) ).
thf(f155,plain,
sF10 != sF17,
inference(definition_folding,[],[f125,f154,f152,f150,f148,f134,f132,f146,f144,f142,f140,f138,f136,f134,f132,f130]) ).
thf(f172,plain,
( $true
= ( mem @ sF7 @ ( ty_2Ebool_2Eitself @ sF6 ) ) ),
inference(constrained_superposition,[],[f111,f134]) ).
thf(f221,plain,
( $true
= ( mem @ sF11 @ ( arr @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) @ ty_2Erealax_2Ereal ) ) ),
inference(constrained_superposition,[],[f110,f142]) ).
thf(f310,plain,
( $true
= ( mem @ sF5 @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) @ ty_2Erealax_2Ereal ) ) ),
inference(constrained_superposition,[],[f112,f130]) ).
thf(f315,plain,
( $true
= ( mem @ sF5 @ ( arr @ ( ty_2Ebool_2Eitself @ sF6 ) @ ty_2Erealax_2Ereal ) ) ),
inference(forward_demodulation,[],[f310,f132]) ).
thf(f387,plain,
( $true
= ( mem @ sF13 @ ( arr @ ( ty_2Ebool_2Eitself @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) ) ),
inference(constrained_superposition,[],[f109,f146]) ).
thf(f392,plain,
( $true
= ( mem @ sF13 @ ( arr @ ( ty_2Ebool_2Eitself @ sF6 ) @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) ) ),
inference(forward_demodulation,[],[f387,f132]) ).
thf(f804,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ ( ap @ ( c_2Ebinary__ieee_2Efloat__plus__min @ sK3 @ sK4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) ) ) ) ),
inference(constrained_superposition,[],[f123,f142]) ).
thf(f806,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 ) @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ ( ap @ sF13 @ ( c_2Ebool_2Ethe__value @ ( ty_2Epair_2Eprod @ sK3 @ sK4 ) ) ) ) ) ),
inference(forward_demodulation,[],[f804,f146]) ).
thf(f809,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 ) @ ( c_2Ebool_2Ethe__value @ sF6 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ ( ap @ sF13 @ ( c_2Ebool_2Ethe__value @ sF6 ) ) ) ) ),
inference(forward_demodulation,[],[f806,f132]) ).
thf(f812,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 ) @ sF7 ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ ( ap @ sF13 @ sF7 ) ) ) ),
inference(forward_demodulation,[],[f809,f134]) ).
thf(f815,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Eulp @ sK3 @ sK4 ) @ sF7 ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ sF14 ) ) ),
inference(forward_demodulation,[],[f812,f148]) ).
thf(f818,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ sF14 ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ sF5 @ sF7 ) ) ),
inference(forward_demodulation,[],[f815,f130]) ).
thf(f821,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ sF14 ) )
= ( surj__ty_2Erealax_2Ereal @ sF8 ) ),
inference(forward_demodulation,[],[f818,f136]) ).
thf(f978,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( mem @ X0 @ ( ty_2Ebool_2Eitself @ sF6 ) ) )
| ( $true
= ( mem @ ( ap @ sF5 @ X0 ) @ ty_2Erealax_2Ereal ) ) ),
inference(constrained_superposition,[],[f97,f315]) ).
thf(f979,plain,
! [X0: $i] :
( ( $true
!= ( mem @ X0 @ ( ty_2Ebool_2Eitself @ sF6 ) ) )
| ( $true
= ( mem @ ( ap @ sF5 @ X0 ) @ ty_2Erealax_2Ereal ) ) ),
inference(trivial_inequality_removal,[],[f978]) ).
thf(f1325,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( mem @ X0 @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) )
| ( $true
= ( mem @ ( ap @ sF11 @ X0 ) @ ty_2Erealax_2Ereal ) ) ),
inference(constrained_superposition,[],[f97,f221]) ).
thf(f1326,plain,
! [X0: $i] :
( ( $true
!= ( mem @ X0 @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) )
| ( $true
= ( mem @ ( ap @ sF11 @ X0 ) @ ty_2Erealax_2Ereal ) ) ),
inference(trivial_inequality_removal,[],[f1325]) ).
thf(f1561,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( mem @ X0 @ ( ty_2Ebool_2Eitself @ sF6 ) ) )
| ( $true
= ( mem @ ( ap @ sF13 @ X0 ) @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) ) ),
inference(constrained_superposition,[],[f97,f392]) ).
thf(f1562,plain,
! [X0: $i] :
( ( $true
!= ( mem @ X0 @ ( ty_2Ebool_2Eitself @ sF6 ) ) )
| ( $true
= ( mem @ ( ap @ sF13 @ X0 ) @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) ) ),
inference(trivial_inequality_removal,[],[f1561]) ).
thf(f1697,plain,
( ( $true != $true )
| ( $true
= ( mem @ ( ap @ sF5 @ sF7 ) @ ty_2Erealax_2Ereal ) ) ),
inference(constrained_superposition,[],[f979,f172]) ).
thf(f1698,plain,
( $true
= ( mem @ ( ap @ sF5 @ sF7 ) @ ty_2Erealax_2Ereal ) ),
inference(trivial_inequality_removal,[],[f1697]) ).
thf(f1702,plain,
( $true
= ( mem @ sF8 @ ty_2Erealax_2Ereal ) ),
inference(forward_demodulation,[],[f1698,f136]) ).
thf(f1714,plain,
( ( $true != $true )
| ( sF8
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ sF8 ) ) ) ),
inference(constrained_superposition,[],[f105,f1702]) ).
thf(f1717,plain,
( sF8
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ sF8 ) ) ),
inference(trivial_inequality_removal,[],[f1714]) ).
thf(f5330,plain,
( ( $true != $true )
| ( $true
= ( mem @ ( ap @ sF13 @ sF7 ) @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) ) ),
inference(constrained_superposition,[],[f1562,f172]) ).
thf(f5331,plain,
( $true
= ( mem @ ( ap @ sF13 @ sF7 ) @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) ),
inference(trivial_inequality_removal,[],[f5330]) ).
thf(f5340,plain,
( $true
= ( mem @ sF14 @ ( ty_2Ebinary__ieee_2Efloat @ sK3 @ sK4 ) ) ),
inference(forward_demodulation,[],[f5331,f148]) ).
thf(f5376,plain,
( ( $true != $true )
| ( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sK3 @ sK4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ sK3 @ sK4 ) @ sF14 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sK3 @ sK4 ) @ sF14 ) ) ) ) ),
inference(constrained_superposition,[],[f122,f5340]) ).
thf(f5377,plain,
( ( $true != $true )
| ( $true
= ( mem @ ( ap @ sF11 @ sF14 ) @ ty_2Erealax_2Ereal ) ) ),
inference(constrained_superposition,[],[f1326,f5340]) ).
thf(f5378,plain,
( $true
= ( mem @ ( ap @ sF11 @ sF14 ) @ ty_2Erealax_2Ereal ) ),
inference(trivial_inequality_removal,[],[f5377]) ).
thf(f5379,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sK3 @ sK4 ) @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ sK3 @ sK4 ) @ sF14 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ ( c_2Ebinary__ieee_2Efloat__to__real @ sK3 @ sK4 ) @ sF14 ) ) ) ),
inference(trivial_inequality_removal,[],[f5376]) ).
thf(f5391,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ ( ap @ ( c_2Ebinary__ieee_2Efloat__negate @ sK3 @ sK4 ) @ sF14 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ sF11 @ sF14 ) ) ) ),
inference(forward_demodulation,[],[f5379,f142]) ).
thf(f5395,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ sF11 @ sF14 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ ( ap @ sF12 @ sF14 ) ) ) ),
inference(forward_demodulation,[],[f5391,f144]) ).
thf(f5397,plain,
( ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ sF11 @ sF14 ) ) )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ sF15 ) ) ),
inference(forward_demodulation,[],[f5395,f150]) ).
thf(f5398,plain,
( ( surj__ty_2Erealax_2Ereal @ sF16 )
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ sF11 @ sF14 ) ) ) ),
inference(forward_demodulation,[],[f5397,f152]) ).
thf(f5399,plain,
( sF17
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ ( ap @ sF11 @ sF14 ) ) ) ),
inference(forward_demodulation,[],[f5398,f154]) ).
thf(f5597,plain,
( ( $true != $true )
| ( ( ap @ sF11 @ sF14 )
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ sF14 ) ) ) ) ),
inference(constrained_superposition,[],[f105,f5378]) ).
thf(f5598,plain,
( ( ap @ sF11 @ sF14 )
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ ( ap @ sF11 @ sF14 ) ) ) ),
inference(trivial_inequality_removal,[],[f5597]) ).
thf(f5616,plain,
( ( ap @ sF11 @ sF14 )
= ( inj__ty_2Erealax_2Ereal @ ( surj__ty_2Erealax_2Ereal @ sF8 ) ) ),
inference(forward_demodulation,[],[f5598,f821]) ).
thf(f5620,plain,
( sF8
= ( ap @ sF11 @ sF14 ) ),
inference(forward_demodulation,[],[f5616,f1717]) ).
thf(f6116,plain,
( sF17
= ( surj__ty_2Erealax_2Ereal @ ( ap @ c_2Erealax_2Ereal__neg @ sF8 ) ) ),
inference(constrained_superposition,[],[f5399,f5620]) ).
thf(f6120,plain,
( ( surj__ty_2Erealax_2Ereal @ sF9 )
= sF17 ),
inference(forward_demodulation,[],[f6116,f138]) ).
thf(f6122,plain,
sF10 = sF17,
inference(forward_demodulation,[],[f6120,f140]) ).
thf(f6124,plain,
$false,
inference(forward_subsumption_resolution,[],[f6122,f155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP018^2 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n011.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 19:33:07 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 5.54/1.09 % (537318)Will run a generic schedule for satisfiability detection.
% 5.54/1.09 % (537324)% WARNING: option uhcvi not known.
% 5.54/1.09 % (537328)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3435976779:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.54/1.09 % (537324)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=28988117:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.54/1.09 % (537323)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4266791983_2999 on theBenchmark for (2999ds/0Mi)
% 5.54/1.09 % (537324)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.54/1.09 % (537325)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=421663017:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.54/1.09 % Exception at run slice level
% 5.54/1.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.54/1.09 % (537324)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.54/1.09 % (537327)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1465683043:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.54/1.09 % (537326)dis+10_1_sil=32000:sp=arity:random_seed=3318020349:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.54/1.09 % (537327)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.54/1.09 % (537329)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3151276775:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.54/1.09 % (537334)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=109773427:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.54/1.09 % (537328)Instruction limit reached!
% 5.54/1.09 % (537328)------------------------------
% 5.54/1.09 % (537328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.09 % (537328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.09 % (537328)CaDiCaL version: 2.1.3
% 5.54/1.09 % (537328)Termination reason: Instruction limit
% 5.54/1.09 % (537328)Termination phase: Saturation
% 5.54/1.09 % (537328)Time elapsed: 0.036 s
% 5.54/1.09 % (537328)Peak memory usage: 13 MB
% 5.54/1.09 % (537328)Instructions burned: 133 (million)
% 5.54/1.09 % Exception at run slice level
% 5.54/1.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.54/1.09 % (537339)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=879315745:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.54/1.09 % (537340)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=2299429664:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.54/1.09 % (537340)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.54/1.09 % (537340)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.54/1.09 % (537326)Instruction limit reached!
% 5.54/1.09 % (537326)------------------------------
% 5.54/1.09 % (537326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.09 % (537326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.09 % (537326)CaDiCaL version: 2.1.3
% 5.54/1.09 % (537326)Termination reason: Instruction limit
% 5.54/1.09 % (537326)Termination phase: Saturation
% 5.54/1.09 % (537326)Time elapsed: 0.055 s
% 5.54/1.09 % (537326)Peak memory usage: 12 MB
% 5.54/1.09 % (537326)Instructions burned: 104 (million)
% 5.54/1.09 % (537339)Instruction limit reached!
% 5.54/1.09 % (537339)------------------------------
% 5.54/1.09 % (537339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.09 % (537339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.09 % (537339)CaDiCaL version: 2.1.3
% 5.54/1.09 % (537339)Termination reason: Instruction limit
% 5.54/1.09 % (537339)Termination phase: Saturation
% 5.54/1.09 % (537339)Time elapsed: 0.038 s
% 5.54/1.09 % (537339)Peak memory usage: 13 MB
% 5.54/1.09 % (537339)Instructions burned: 132 (million)
% 5.54/1.09 % (537343)ott-21_1_sil=16000:fs=off:random_seed=3297101657:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.54/1.09 % (537344)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2401956025:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.74/1.47 % (537327)Instruction limit reached!
% 7.74/1.47 % (537327)------------------------------
% 7.74/1.47 % (537327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537327)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537327)Termination reason: Instruction limit
% 7.74/1.47 % (537327)Termination phase: Saturation
% 7.74/1.47 % (537327)Time elapsed: 0.118 s
% 7.74/1.47 % (537327)Peak memory usage: 12 MB
% 7.74/1.47 % (537327)Instructions burned: 123 (million)
% 7.74/1.47 % (537329)Instruction limit reached!
% 7.74/1.47 % (537329)------------------------------
% 7.74/1.47 % (537329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537329)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537329)Termination reason: Instruction limit
% 7.74/1.47 % (537329)Termination phase: Saturation
% 7.74/1.47 % (537329)Time elapsed: 0.131 s
% 7.74/1.47 % (537329)Peak memory usage: 12 MB
% 7.74/1.47 % (537329)Instructions burned: 159 (million)
% 7.74/1.47 % (537347)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=793229077:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 7.74/1.47 % Exception at run slice level
% 7.74/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.74/1.47 % (537348)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2582137883:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 7.74/1.47 % (537350)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=314360165:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 7.74/1.47 % Exception at run slice level
% 7.74/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.74/1.47 % (537343)Instruction limit reached!
% 7.74/1.47 % (537343)------------------------------
% 7.74/1.47 % (537343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537343)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537343)Termination reason: Instruction limit
% 7.74/1.47 % (537343)Termination phase: Saturation
% 7.74/1.47 % (537343)Time elapsed: 0.089 s
% 7.74/1.47 % (537343)Peak memory usage: 13 MB
% 7.74/1.47 % (537343)Instructions burned: 180 (million)
% 7.74/1.47 % (537353)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=92072715:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 7.74/1.47 % (537354)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=647016177:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 7.74/1.47 % (537353)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.74/1.47 % (537354)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.74/1.47 % (537344)Instruction limit reached!
% 7.74/1.47 % (537344)------------------------------
% 7.74/1.47 % (537344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537344)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537344)Termination reason: Instruction limit
% 7.74/1.47 % (537344)Termination phase: Saturation
% 7.74/1.47 % (537344)Time elapsed: 0.127 s
% 7.74/1.47 % (537344)Peak memory usage: 13 MB
% 7.74/1.47 % (537344)Instructions burned: 479 (million)
% 7.74/1.47 % (537357)fmb+10_1_sil=64000:random_seed=3990473860:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 7.74/1.47 % (537357)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.74/1.47 % Exception at run slice level
% 7.74/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.74/1.47 % (537359)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=258069347:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 7.74/1.47 % Exception at run slice level
% 7.74/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.74/1.47 % (537361)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3612651600:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 7.74/1.47 % Exception at run slice level
% 7.74/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.74/1.47 % (537363)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4095353444:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 7.74/1.47 % (537363)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.74/1.47 % (537340)Instruction limit reached!
% 7.74/1.47 % (537340)------------------------------
% 7.74/1.47 % (537340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537340)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537340)Termination reason: Instruction limit
% 7.74/1.47 % (537340)Termination phase: Saturation
% 7.74/1.47 % (537340)Time elapsed: 0.416 s
% 7.74/1.47 % (537340)Peak memory usage: 15 MB
% 7.74/1.47 % (537340)Instructions burned: 685 (million)
% 7.74/1.47 % (537365)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2441910088:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 7.74/1.47 % (537365)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 7.74/1.47 % (537365)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.74/1.47 % (537353)Instruction limit reached!
% 7.74/1.47 % (537353)------------------------------
% 7.74/1.47 % (537353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537353)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537353)Termination reason: Instruction limit
% 7.74/1.47 % (537353)Termination phase: Saturation
% 7.74/1.47 % (537353)Time elapsed: 0.352 s
% 7.74/1.47 % (537353)Peak memory usage: 15 MB
% 7.74/1.47 % (537353)Instructions burned: 693 (million)
% 7.74/1.47 % (537367)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=795653595:i=6324_2993 on theBenchmark for (2993ds/6324Mi)
% 7.74/1.47 % Exception at run slice level
% 7.74/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.74/1.47 % (537369)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=738015195:fmbsr=2.30978:i=2174_2993 on theBenchmark for (2993ds/2174Mi)
% 7.74/1.47 % Exception at run slice level
% 7.74/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.74/1.47 % (537371)ott-2_1_sil=16000:newcnf=on:random_seed=2849061394:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 7.74/1.47 % (537371)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 7.74/1.47 % (537354)Instruction limit reached!
% 7.74/1.47 % (537354)------------------------------
% 7.74/1.47 % (537354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537354)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537354)Termination reason: Instruction limit
% 7.74/1.47 % (537354)Termination phase: Saturation
% 7.74/1.47 % (537354)Time elapsed: 0.462 s
% 7.74/1.47 % (537354)Peak memory usage: 16 MB
% 7.74/1.47 % (537354)Instructions burned: 880 (million)
% 7.74/1.47 % (537373)ott+10_1_sil=32000:tgt=ground:random_seed=633129971:i=5114:av=off_2992 on theBenchmark for (2992ds/5114Mi)
% 7.74/1.47 % (537348)Instruction limit reached!
% 7.74/1.47 % (537348)------------------------------
% 7.74/1.47 % (537348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537348)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537348)Termination reason: Instruction limit
% 7.74/1.47 % (537348)Termination phase: Saturation
% 7.74/1.47 % (537348)Time elapsed: 0.624 s
% 7.74/1.47 % (537348)Peak memory usage: 18 MB
% 7.74/1.47 % (537348)Instructions burned: 1180 (million)
% 7.74/1.47 % (537375)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1227451794:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 7.74/1.47 % Exception at run slice level
% 7.74/1.47 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 7.74/1.47 % (537377)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3308808901:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 7.74/1.47 % (537377)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.74/1.47 % (537371)Instruction limit reached!
% 7.74/1.47 % (537371)------------------------------
% 7.74/1.47 % (537371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537371)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537371)Termination reason: Instruction limit
% 7.74/1.47 % (537371)Termination phase: Saturation
% 7.74/1.47 % (537371)Time elapsed: 0.426 s
% 7.74/1.47 % (537371)Peak memory usage: 16 MB
% 7.74/1.47 % (537371)Instructions burned: 871 (million)
% 7.74/1.47 % (537379)dis+21_1_sil=32000:sas=cadical:random_seed=1660734204:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 7.74/1.47 % (537365)Instruction limit reached!
% 7.74/1.47 % (537365)------------------------------
% 7.74/1.47 % (537365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.47 % (537365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.47 % (537365)CaDiCaL version: 2.1.3
% 7.74/1.47 % (537365)Termination reason: Instruction limit
% 7.74/1.47 % (537365)Termination phase: Saturation
% 7.74/1.47 % (537365)Time elapsed: 0.694 s
% 7.74/1.47 % (537365)Peak memory usage: 15 MB
% 7.74/1.47 % (537365)Instructions burned: 1474 (million)
% 7.74/1.47 % (537373) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-537318-537373"...
% 7.74/1.47 % (537381)ott+11_1_sil=16000:gs=on:random_seed=3429098418:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 7.74/1.47 % (537373)...printing done.
% 7.74/1.47 % (537381)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 7.74/1.47 % (537373)Refutation found. Thanks to Tanya!
% 7.74/1.47 % SZS status Theorem for theBenchmark
% 7.74/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 7.74/1.48 % (537373)------------------------------
% 7.74/1.48 % (537373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.74/1.48 % (537373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/1.48 % (537373)CaDiCaL version: 2.1.3
% 7.74/1.48 % (537373)Termination reason: Refutation
% 7.74/1.48 % (537373)Time elapsed: 0.518 s
% 7.74/1.48 % (537373)Peak memory usage: 19 MB
% 7.74/1.48 % (537373)Instructions burned: 1028 (million)
% 7.74/1.48 % (537318)Success in time 1.262 s
% 7.74/1.48 % Vampire exiting
%------------------------------------------------------------------------------