%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP076^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:14 AM UTC 2026
% Result : Theorem 0.44s 0.47s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 311 ( 110 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 625 ( 8 ~; 27 |; 18 &; 488 @)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 91 ( 86 usr; 14 con; 0-4 aty)
% ( 32 !!; 14 ??; 0 @@+; 0 @@-)
% Number of variables : 129 ( 58 ^; 67 !; 4 ?; 129 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_HF_Mirabelle_hf: $tType ).
thf(type_def_6,type,
hF_Mirabelle_hf: $tType ).
thf(type_def_7,type,
set_nat: $tType ).
thf(type_def_8,type,
nat: $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_1,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(func_def_2,type,
zero_zero_nat: nat ).
thf(func_def_3,type,
hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_4,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_5,type,
hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_6,type,
hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_7,type,
hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_8,type,
hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_9,type,
hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_10,type,
hF_Mirabelle_hcard: hF_Mirabelle_hf > nat ).
thf(func_def_11,type,
hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).
thf(func_def_12,type,
hF_Mirabelle_Rep_hf: hF_Mirabelle_hf > nat ).
thf(func_def_13,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_14,type,
hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_15,type,
hF_Mir199975595nction: hF_Mirabelle_hf > $o ).
thf(func_def_16,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_17,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_18,type,
hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_19,type,
hF_Mir434065167lation: hF_Mirabelle_hf > $o ).
thf(func_def_20,type,
hF_Mir1653039215strict: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_21,type,
hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_22,type,
hF_Mir137170979_hpair: hF_Mirabelle_hf > $o ).
thf(func_def_23,type,
inf_in307783154e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > $o ).
thf(func_def_24,type,
inf_inf_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_25,type,
inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_26,type,
inf_in923488851lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_27,type,
inf_inf_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_28,type,
sup_su1199008216e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > $o ).
thf(func_def_29,type,
sup_sup_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_30,type,
sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_31,type,
sup_su1790843629lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_32,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_33,type,
suc: nat > nat ).
thf(func_def_34,type,
top_to22270292e_hf_o: hF_Mirabelle_hf > $o ).
thf(func_def_35,type,
top_top_nat_o: nat > $o ).
thf(func_def_36,type,
top_top_o: $o ).
thf(func_def_37,type,
top_to489427057lle_hf: set_HF_Mirabelle_hf ).
thf(func_def_38,type,
top_top_set_nat: set_nat ).
thf(func_def_39,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_40,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_41,type,
insert9649339lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_42,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_43,type,
type_d1794767497hf_nat: ( hF_Mirabelle_hf > nat ) > ( nat > hF_Mirabelle_hf ) > set_nat > $o ).
thf(func_def_44,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_45,type,
member_nat: nat > set_nat > $o ).
thf(func_def_46,type,
r: hF_Mirabelle_hf ).
thf(func_def_47,type,
x: hF_Mirabelle_hf ).
thf(func_def_49,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_51,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_55,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_56,type,
vAND: $o > $o > $o ).
thf(func_def_57,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_58,type,
vNOT: $o > $o ).
thf(func_def_59,type,
vIMP: $o > $o > $o ).
thf(func_def_60,type,
vOR: $o > $o > $o ).
thf(func_def_61,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_62,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
sK0: hF_Mirabelle_hf ).
thf(func_def_64,type,
sK1: hF_Mirabelle_hf ).
thf(func_def_65,type,
sK2: hF_Mirabelle_hf ).
thf(func_def_66,type,
sK3: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_67,type,
sK4: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_68,type,
sK5: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_69,type,
sK6: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_70,type,
sK7: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_71,type,
sK8: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_72,type,
sK9: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_73,type,
sK10: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_74,type,
sK11: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_75,type,
sK12: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_76,type,
sK13: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_77,type,
sK14: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_78,type,
sK15: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_79,type,
sK16: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_80,type,
sK17: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_81,type,
sK18: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_82,type,
sK19: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_83,type,
sK20: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_84,type,
sK21: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_85,type,
sK22: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_86,type,
sK23: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_87,type,
sK24: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(f2,axiom,
( ( ^ [X0: hF_Mirabelle_hf] :
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X1 @ X2 ) @ X0 )
=> ! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X1 @ X3 ) @ X0 )
=> ( X2 = X3 ) ) ) )
= hF_Mir199975595nction ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_hfunction__def) ).
thf(f3,axiom,
! [X0: hF_Mirabelle_hf,X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X0 @ X1 )
& ? [X4: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( ( X0
= ( hF_Mirabelle_hpair @ X3 @ X4 ) )
& ( hF_Mirabelle_hmem @ X3 @ X2 ) )
= ( hF_Mirabelle_hmem @ X0 @ ( hF_Mir1653039215strict @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_hrestrict__iff) ).
thf(f355,axiom,
hF_Mir199975595nction @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f356,conjecture,
hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f357,negated_conjecture,
~ ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) ),
inference(negated_conjecture,[status(cth)],[f356]) ).
thf(f364,plain,
hF_Mir199975595nction @ r,
inference(rectify,[],[f355]) ).
thf(f365,plain,
( ( hF_Mir199975595nction @ r )
= $true ),
inference(fool_elimination,[],[f364]) ).
thf(f399,plain,
~ ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) ),
inference(rectify,[],[f357]) ).
thf(f400,plain,
( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) )
!= $true ),
inference(fool_elimination,[],[f399]) ).
thf(f539,plain,
( ( ^ [X0: hF_Mirabelle_hf] :
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X1 @ X2 ) @ X0 )
=> ! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X1 @ X3 ) @ X0 )
=> ( X2 = X3 ) ) ) )
= hF_Mir199975595nction ),
inference(rectify,[],[f2]) ).
thf(f540,plain,
( hF_Mir199975595nction
= ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y1 ) @ Y0 )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y3 ) @ Y0 )
=> ( Y1 = Y3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f539]) ).
thf(f608,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X0 @ X2 )
& ? [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hpair @ X4 @ X3 )
= X0 )
& ( hF_Mirabelle_hmem @ X4 @ X1 ) )
= ( hF_Mirabelle_hmem @ X0 @ ( hF_Mir1653039215strict @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f609,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X0 @ ( hF_Mir1653039215strict @ X2 @ X1 ) )
= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ X1 )
& ( ( hF_Mirabelle_hpair @ Y0 @ Y1 )
= X0 ) ) ) )
& ( hF_Mirabelle_hmem @ X0 @ X2 ) ) ),
inference(fool_elimination,[],[f608]) ).
thf(f676,plain,
( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) )
!= $true ),
inference(flattening,[],[f400]) ).
thf(f678,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X0 @ X1 ) )
= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ X1 )
& ( ( hF_Mirabelle_hpair @ Y0 @ Y1 )
= X2 ) ) ) )
& ( hF_Mirabelle_hmem @ X2 @ X0 ) ) ),
inference(rectify,[],[f609]) ).
thf(f679,plain,
( ( hF_Mir199975595nction @ r )
= $true ),
inference(cnf_transformation,[],[f365]) ).
thf(f680,plain,
( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) )
!= $true ),
inference(cnf_transformation,[],[f676]) ).
thf(f682,plain,
! [X2: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X0 @ X1 ) )
= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ X1 )
& ( ( hF_Mirabelle_hpair @ Y0 @ Y1 )
= X2 ) ) ) )
& ( hF_Mirabelle_hmem @ X2 @ X0 ) ) ),
inference(cnf_transformation,[],[f678]) ).
thf(f683,plain,
( hF_Mir199975595nction
= ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y1 ) @ Y0 )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y3 ) @ Y0 )
=> ( Y1 = Y3 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f540]) ).
thf(f686,plain,
( ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y1 ) @ Y0 )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y3 ) @ Y0 )
=> ( Y1 = Y3 ) ) ) ) ) )
@ r )
= $true ),
inference(definition_unfolding,[],[f679,f683]) ).
thf(f687,plain,
( ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y1 ) @ Y0 )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y3 ) @ Y0 )
=> ( Y1 = Y3 ) ) ) ) ) )
@ ( hF_Mir1653039215strict @ r @ x ) )
!= $true ),
inference(definition_unfolding,[],[f680,f683]) ).
thf(f688,plain,
( $true
= ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y0 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y2 ) @ r )
=> ( Y0 = Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f686]) ).
thf(f689,plain,
! [X1: hF_Mirabelle_hf] :
( ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y0 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y2 ) @ r )
=> ( Y0 = Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f688]) ).
thf(f690,plain,
! [X1: hF_Mirabelle_hf] :
( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ X1 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ Y1 ) @ r )
=> ( X1 = Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f689]) ).
thf(f691,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ X1 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ Y1 ) @ r )
=> ( X1 = Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f690]) ).
thf(f692,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ Y0 ) @ r )
=> ( X1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f691]) ).
thf(f693,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r )
= $false )
| ( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ Y0 ) @ r )
=> ( X1 = Y0 ) ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f692]) ).
thf(f694,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r )
= $false )
| ( ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ Y0 ) @ r )
=> ( X1 = Y0 ) )
@ X3 )
= $true ) ),
inference(pi_proxy_clausification,[],[f693]) ).
thf(f695,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r )
= $false )
| ( $true
= ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X3 ) @ r )
=> ( X1 = X3 ) ) ) ),
inference(beta-eta_normalization,[],[f694]) ).
thf(f696,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X3 ) @ r )
= $false )
| ( ( X1 = X3 )
= $true )
| ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r )
= $false ) ),
inference(imp_proxy_clausification,[],[f695]) ).
thf(f697,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X3 ) @ r )
= $false )
| ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r )
= $false )
| ( X1 = X3 ) ),
inference(equality_proxy_clausification,[],[f696]) ).
thf(f698,plain,
( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y2 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( Y0 = Y2 ) ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f687]) ).
thf(f699,plain,
( ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y2 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( Y0 = Y2 ) ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f698]) ).
thf(f700,plain,
( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ sK0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ Y1 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK0 = Y1 ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f699]) ).
thf(f701,plain,
( ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ sK0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ Y1 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK0 = Y1 ) ) ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f700]) ).
thf(f702,plain,
( $false
= ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ sK0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK0 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f701]) ).
thf(f703,plain,
( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK0 = Y0 ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f702]) ).
thf(f704,plain,
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ sK0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
= $true ),
inference(imp_proxy_clausification,[],[f702]) ).
thf(f705,plain,
( ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK0 = Y0 ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f703]) ).
thf(f706,plain,
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ sK2 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK0 = sK2 ) )
= $false ),
inference(beta-eta_normalization,[],[f705]) ).
thf(f707,plain,
( ( sK0 = sK2 )
= $false ),
inference(imp_proxy_clausification,[],[f706]) ).
thf(f708,plain,
( $true
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ sK2 ) @ ( hF_Mir1653039215strict @ r @ x ) ) ),
inference(imp_proxy_clausification,[],[f706]) ).
thf(f709,plain,
sK0 != sK2,
inference(equality_proxy_clausification,[],[f707]) ).
thf(f711,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X3 ) @ r )
= $false )
| ( X1 = X3 )
| ( ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ X2 )
& ( ( hF_Mirabelle_hpair @ Y0 @ Y1 )
= ( hF_Mirabelle_hpair @ X0 @ X1 ) ) ) ) )
& $false )
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X1 ) @ ( hF_Mir1653039215strict @ r @ X2 ) ) ) ),
inference(superposition,[],[f682,f697]) ).
thf(f713,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X3 ) @ r )
= $false )
| ( ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ X2 )
& ( ( hF_Mirabelle_hpair @ Y0 @ Y1 )
= ( hF_Mirabelle_hpair @ X0 @ X1 ) ) ) ) )
& $false )
= $true )
| ( X1 = X3 )
| ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X1 ) @ ( hF_Mir1653039215strict @ r @ X2 ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f711]) ).
thf(f717,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X1 ) @ ( hF_Mir1653039215strict @ r @ X2 ) )
= $false )
| ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X3 ) @ r )
= $false )
| ( $true = $false )
| ( X1 = X3 ) ),
inference(and_proxy_clausification,[],[f713]) ).
thf(f726,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X1 ) @ ( hF_Mir1653039215strict @ r @ X2 ) )
= $false )
| ( X1 = X3 )
| ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X0 @ X3 ) @ r )
= $false ) ),
inference(trivial_inequality_removal,[],[f717]) ).
thf(f813,plain,
! [X0: hF_Mirabelle_hf] :
( ( sK0 = X0 )
| ( $true = $false )
| ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ X0 ) @ r )
= $false ) ),
inference(superposition,[],[f704,f726]) ).
thf(f816,plain,
! [X0: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ X0 ) @ r )
= $false )
| ( sK0 = X0 ) ),
inference(trivial_inequality_removal,[],[f813]) ).
thf(f836,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ X0 ) @ ( hF_Mir1653039215strict @ r @ X1 ) )
= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ X1 )
& ( ( hF_Mirabelle_hpair @ Y0 @ Y1 )
= ( hF_Mirabelle_hpair @ sK1 @ X0 ) ) ) ) )
& $false ) )
| ( sK0 = X0 ) ),
inference(superposition,[],[f682,f816]) ).
thf(f839,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( sK0 = X0 )
| ( $true
= ( ( ?? @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ?? @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ Y0 @ X1 )
& ( ( hF_Mirabelle_hpair @ Y0 @ Y1 )
= ( hF_Mirabelle_hpair @ sK1 @ X0 ) ) ) ) )
& $false ) )
| ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ X0 ) @ ( hF_Mir1653039215strict @ r @ X1 ) )
= $false ) ),
inference(iff_proxy_clausification,[],[f836]) ).
thf(f840,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( $true = $false )
| ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ X0 ) @ ( hF_Mir1653039215strict @ r @ X1 ) )
= $false )
| ( sK0 = X0 ) ),
inference(and_proxy_clausification,[],[f839]) ).
thf(f849,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK1 @ X0 ) @ ( hF_Mir1653039215strict @ r @ X1 ) )
= $false )
| ( sK0 = X0 ) ),
inference(trivial_inequality_removal,[],[f840]) ).
thf(f911,plain,
( ( $true = $false )
| ( sK0 = sK2 ) ),
inference(superposition,[],[f708,f849]) ).
thf(f927,plain,
sK0 = sK2,
inference(trivial_inequality_removal,[],[f911]) ).
thf(f930,plain,
$false,
inference(forward_subsumption_resolution,[],[f927,f709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP076^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n014.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:47:45 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.21/0.28 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
% 0.44/0.46 % (3125285)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.44/0.46 % (3125293)lrs+10_16_si=on:nwc=1.5:random_seed=866978106:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.44/0.46 % (3125294)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4237400443:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.44/0.46 % (3125294)Instruction limit reached!
% 0.44/0.46 % (3125294)------------------------------
% 0.44/0.46 % (3125294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.46 % (3125294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.46 % (3125294)CaDiCaL version: 2.1.3
% 0.44/0.46 % (3125294)Termination reason: Instruction limit
% 0.44/0.46 % (3125294)Termination phase: shuffling
% 0.44/0.46 % (3125294)Time elapsed: 0.003 s
% 0.44/0.46 % (3125294)Peak memory usage: 10 MB
% 0.44/0.46 % (3125294)Instructions burned: 4 (million)
% 0.44/0.46 % (3125297)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1642129058:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.44/0.46 % (3125293)Instruction limit reached!
% 0.44/0.46 % (3125293)------------------------------
% 0.44/0.46 % (3125293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.46 % (3125293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.46 % (3125293)CaDiCaL version: 2.1.3
% 0.44/0.46 % (3125293)Termination reason: Instruction limit
% 0.44/0.46 % (3125293)Termination phase: Property scanning
% 0.44/0.46 % (3125293)Time elapsed: 0.009 s
% 0.44/0.46 % (3125293)Peak memory usage: 10 MB
% 0.44/0.46 % (3125293)Instructions burned: 20 (million)
% 0.44/0.46 % (3125296)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2576552671:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.44/0.46 % (3125298)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.44/0.46 % (3125298)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
% 0.44/0.46 % (3125295)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=3939850189: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)
% 0.44/0.46 % (3125298)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=1473272913:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.44/0.46 % (3125301)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1238238135:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.44/0.46 % (3125292)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1972752190:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.44/0.46 % (3125301)Instruction limit reached!
% 0.44/0.46 % (3125301)------------------------------
% 0.44/0.46 % (3125301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.46 % (3125301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.46 % (3125301)CaDiCaL version: 2.1.3
% 0.44/0.46 % (3125301)Termination reason: Instruction limit
% 0.44/0.46 % (3125301)Termination phase: shuffling
% 0.44/0.46 % (3125301)Time elapsed: 0.003 s
% 0.44/0.46 % (3125301)Peak memory usage: 10 MB
% 0.44/0.46 % (3125301)Instructions burned: 5 (million)
% 0.44/0.46 % (3125303)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3560134593:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.44/0.46 % (3125296)Instruction limit reached!
% 0.44/0.46 % (3125296)------------------------------
% 0.44/0.46 % (3125296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.46 % (3125296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.46 % (3125296)CaDiCaL version: 2.1.3
% 0.44/0.46 % (3125296)Termination reason: Instruction limit
% 0.44/0.46 % (3125296)Termination phase: Preprocessing 1
% 0.44/0.46 % (3125296)Time elapsed: 0.019 s
% 0.44/0.46 % (3125296)Peak memory usage: 10 MB
% 0.44/0.46 % (3125296)Instructions burned: 24 (million)
% 0.44/0.47 % (3125303)Instruction limit reached!
% 0.44/0.47 % (3125303)------------------------------
% 0.44/0.47 % (3125303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125303)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125303)Termination reason: Instruction limit
% 0.44/0.47 % (3125303)Termination phase: shuffling
% 0.44/0.47 % (3125303)Time elapsed: 0.003 s
% 0.44/0.47 % (3125303)Peak memory usage: 10 MB
% 0.44/0.47 % (3125303)Instructions burned: 6 (million)
% 0.44/0.47 % (3125309)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.44/0.47 % (3125297)Instruction limit reached!
% 0.44/0.47 % (3125297)------------------------------
% 0.44/0.47 % (3125297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125297)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125297)Termination reason: Instruction limit
% 0.44/0.47 % (3125297)Termination phase: Property scanning
% 0.44/0.47 % (3125297)Time elapsed: 0.034 s
% 0.44/0.47 % (3125297)Peak memory usage: 12 MB
% 0.44/0.47 % (3125297)Instructions burned: 75 (million)
% 0.44/0.47 % (3125309)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3723103128:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.44/0.47 % (3125312)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
% 0.44/0.47 % (3125312)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.44/0.47 % (3125309)Instruction limit reached!
% 0.44/0.47 % (3125309)------------------------------
% 0.44/0.47 % (3125309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125309)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125309)Termination reason: Instruction limit
% 0.44/0.47 % (3125309)Termination phase: shuffling
% 0.44/0.47 % (3125309)Time elapsed: 0.004 s
% 0.44/0.47 % (3125309)Peak memory usage: 10 MB
% 0.44/0.47 % (3125309)Instructions burned: 8 (million)
% 0.44/0.47 % (3125312)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=611164596:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.44/0.47 % (3125311)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=194873894:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.44/0.47 % (3125313)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=1568298029:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.44/0.47 % (3125311)Instruction limit reached!
% 0.44/0.47 % (3125311)------------------------------
% 0.44/0.47 % (3125311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125311)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125311)Termination reason: Instruction limit
% 0.44/0.47 % (3125311)Termination phase: Property scanning
% 0.44/0.47 % (3125311)Time elapsed: 0.008 s
% 0.44/0.47 % (3125311)Peak memory usage: 10 MB
% 0.44/0.47 % (3125311)Instructions burned: 14 (million)
% 0.44/0.47 % (3125312)Instruction limit reached!
% 0.44/0.47 % (3125312)------------------------------
% 0.44/0.47 % (3125312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125312)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125312)Termination reason: Instruction limit
% 0.44/0.47 % (3125312)Termination phase: shuffling
% 0.44/0.47 % (3125312)Time elapsed: 0.013 s
% 0.44/0.47 % (3125312)Peak memory usage: 10 MB
% 0.44/0.47 % (3125312)Instructions burned: 29 (million)
% 0.44/0.47 % (3125315)lrs+10_1_si=on:cs=on:random_seed=2944157203:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.44/0.47 % (3125315)Instruction limit reached!
% 0.44/0.47 % (3125315)------------------------------
% 0.44/0.47 % (3125315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125315)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125315)Termination reason: Instruction limit
% 0.44/0.47 % (3125315)Termination phase: shuffling
% 0.44/0.47 % (3125315)Time elapsed: 0.004 s
% 0.44/0.47 % (3125315)Peak memory usage: 10 MB
% 0.44/0.47 % (3125315)Instructions burned: 8 (million)
% 0.44/0.47 % (3125319)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.44/0.47 % (3125319)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=1503719984:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.44/0.47 % (3125319)Instruction limit reached!
% 0.44/0.47 % (3125319)------------------------------
% 0.44/0.47 % (3125319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125319)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125319)Termination reason: Instruction limit
% 0.44/0.47 % (3125319)Termination phase: shuffling
% 0.44/0.47 % (3125319)Time elapsed: 0.002 s
% 0.44/0.47 % (3125319)Peak memory usage: 10 MB
% 0.44/0.47 % (3125319)Instructions burned: 6 (million)
% 0.44/0.47 % (3125320)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3287333905:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.44/0.47 % (3125322)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1953434111:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.44/0.47 % (3125324)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2138576034:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.44/0.47 % (3125292)Instruction limit reached!
% 0.44/0.47 % (3125292)------------------------------
% 0.44/0.47 % (3125292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125292)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125292)Termination reason: Instruction limit
% 0.44/0.47 % (3125292)Termination phase: Property scanning
% 0.44/0.47 % (3125292)Time elapsed: 0.075 s
% 0.44/0.47 % (3125292)Peak memory usage: 12 MB
% 0.44/0.47 % (3125292)Instructions burned: 89 (million)
% 0.44/0.47 % (3125320)Instruction limit reached!
% 0.44/0.47 % (3125320)------------------------------
% 0.44/0.47 % (3125320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125320)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125320)Termination reason: Instruction limit
% 0.44/0.47 % (3125320)Termination phase: Property scanning
% 0.44/0.47 % (3125320)Time elapsed: 0.018 s
% 0.44/0.47 % (3125320)Peak memory usage: 11 MB
% 0.44/0.47 % (3125320)Instructions burned: 40 (million)
% 0.44/0.47 % (3125324)Instruction limit reached!
% 0.44/0.47 % (3125324)------------------------------
% 0.44/0.47 % (3125324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125324)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125324)Termination reason: Instruction limit
% 0.44/0.47 % (3125324)Termination phase: SInE selection
% 0.44/0.47 % (3125324)Time elapsed: 0.012 s
% 0.44/0.47 % (3125324)Peak memory usage: 10 MB
% 0.44/0.47 % (3125324)Instructions burned: 26 (million)
% 0.44/0.47 % (3125313)Instruction limit reached!
% 0.44/0.47 % (3125313)------------------------------
% 0.44/0.47 % (3125313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125313)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125313)Termination reason: Instruction limit
% 0.44/0.47 % (3125313)Termination phase: Property scanning
% 0.44/0.47 % (3125313)Time elapsed: 0.048 s
% 0.44/0.47 % (3125313)Peak memory usage: 11 MB
% 0.44/0.47 % (3125313)Instructions burned: 89 (million)
% 0.44/0.47 % (3125322) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3125285-3125322"...
% 0.44/0.47 % (3125322)...printing done.
% 0.44/0.47 % (3125322)Refutation found. Thanks to Tanya!
% 0.44/0.47 % SZS status Theorem for theBenchmark
% 0.44/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.44/0.47 % (3125322)------------------------------
% 0.44/0.47 % (3125322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.44/0.47 % (3125322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.44/0.47 % (3125322)CaDiCaL version: 2.1.3
% 0.44/0.47 % (3125322)Termination reason: Refutation
% 0.44/0.47 % (3125322)Time elapsed: 0.026 s
% 0.44/0.47 % (3125322)Peak memory usage: 13 MB
% 0.44/0.47 % (3125322)Instructions burned: 52 (million)
% 0.44/0.47 % (3125285)Success in time 0.179 s
% 0.44/0.47 % Vampire exiting
%------------------------------------------------------------------------------