%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT033^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 07:44:38 AM UTC 2026
% Result : Theorem 0.22s 0.34s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 11
% Syntax : Number of formulae : 92 ( 74 unt; 0 typ; 0 def)
% Number of atoms : 453 ( 99 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 817 ( 119 ~; 53 |; 0 &; 591 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 118 ( 118 >; 0 *; 0 +; 0 <<)
% Number of symbols : 71 ( 67 usr; 9 con; 0-4 aty)
% ( 54 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 297 ( 223 ^; 74 !; 0 ?; 297 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
meq_ind: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_11,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_12,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_13,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_14,type,
mtrue: $i > $o ).
thf(func_def_15,type,
mfalse: $i > $o ).
thf(func_def_16,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_19,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_29,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
a1: $i > $i > $o ).
thf(func_def_33,type,
a2: $i > $i > $o ).
thf(func_def_34,type,
a3: $i > $i > $o ).
thf(func_def_35,type,
jan: mu ).
thf(func_def_36,type,
piotr: mu ).
thf(func_def_37,type,
cola: mu ).
thf(func_def_38,type,
pepsi: mu ).
thf(func_def_39,type,
beer: mu ).
thf(func_def_40,type,
likes: mu > mu > $i > $o ).
thf(func_def_41,type,
very_much_likes: mu > mu > $i > $o ).
thf(func_def_42,type,
possibly_likes: mu > mu > $i > $o ).
thf(func_def_43,type,
subrel: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_44,type,
cond4s: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(func_def_45,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_46,type,
vOR: $o > $o > $o ).
thf(func_def_47,type,
vNOT: $o > $o ).
thf(func_def_48,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_50,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_51,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_53,type,
vIMP: $o > $o > $o ).
thf(func_def_54,type,
vAND: $o > $o > $o ).
thf(func_def_55,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_58,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_60,type,
sK0: $i > $i ).
thf(func_def_61,type,
sK1: $i > $i ).
thf(func_def_62,type,
sK2: $i > $i ).
thf(func_def_63,type,
sK3: mu > $i > mu > $i ).
thf(func_def_64,type,
sK4: mu > mu > $i > $i ).
thf(func_def_65,type,
sK5: mu > mu > $i > $i ).
thf(func_def_67,type,
sK7: $i > $i ).
thf(func_def_68,type,
sK8: $i > $i ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mimplies) ).
thf(f10,axiom,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f12,axiom,
( mexists_ind
= ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mexists_ind) ).
thf(f16,axiom,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f17,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) )
= mdia ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f43,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a3_3) ).
thf(f47,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X0 @ X1 ) ) @ ( possibly_likes @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_3) ).
thf(f73,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( possibly_likes @ X0 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f74,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( possibly_likes @ X0 @ X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
thf(f75,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f76,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f75]) ).
thf(f105,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f106,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f105]) ).
thf(f107,plain,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
inference(rectify,[],[f43]) ).
thf(f108,plain,
( ( mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(fool_elimination,[],[f107]) ).
thf(f116,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f121,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f124,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f125,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f124]) ).
thf(f136,plain,
( mexists_ind
= ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f12]) ).
thf(f137,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f136]) ).
thf(f154,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f155,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f154]) ).
thf(f158,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X0 @ X1 ) ) @ ( possibly_likes @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f47]) ).
thf(f159,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f158]) ).
thf(f176,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f177,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f176]) ).
thf(f208,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] : ( possibly_likes @ X0 @ X1 ) ) ) ),
inference(rectify,[],[f74]) ).
thf(f209,plain,
( ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( possibly_likes @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(fool_elimination,[],[f208]) ).
thf(f210,plain,
( ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( possibly_likes @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(flattening,[],[f209]) ).
thf(f220,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f177]) ).
thf(f221,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f106]) ).
thf(f229,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f116]) ).
thf(f238,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f155]) ).
thf(f249,plain,
( ( mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(cnf_transformation,[],[f108]) ).
thf(f250,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f159]) ).
thf(f261,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f121]) ).
thf(f262,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f137]) ).
thf(f265,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f76]) ).
thf(f273,plain,
( ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] : ( possibly_likes @ Y0 @ Y1 ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f210]) ).
thf(f280,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f125]) ).
thf(f287,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f261,f221,f220]) ).
thf(f291,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f262,f220,f280,f220]) ).
thf(f294,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f229,f220,f265,f220]) ).
thf(f313,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ~ ( Y2 @ Y4 @ Y5 )
| ( Y3 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ a1
@ ( likes @ piotr @ beer ) ) ) ),
inference(definition_unfolding,[],[f249,f238,f294]) ).
thf(f314,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: $i > $i > $o,Y5: $i > $o,Y6: $i] :
( !! @ $i
@ ^ [Y7: $i] :
( ~ ( Y4 @ Y6 @ Y7 )
| ( Y5 @ Y7 ) ) )
@ Y2
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ a1
@ ( likes @ Y0 @ Y1 ) )
@ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f250,f238,f280,f280,f287,f294]) ).
thf(f328,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] : ( Y2 @ Y4 @ Y3 ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] : ( possibly_likes @ Y0 @ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f273,f238,f291,f291]) ).
thf(f346,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ~ ( likes @ piotr @ beer @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f313]) ).
thf(f347,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ Y0 @ Y1 )
| ~ ( likes @ piotr @ beer @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f346]) ).
thf(f348,plain,
! [X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( likes @ piotr @ beer @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f347]) ).
thf(f349,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( likes @ piotr @ beer @ Y0 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f348]) ).
thf(f350,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( likes @ piotr @ beer @ Y0 ) )
@ ( sK0 @ X1 ) )
= $false ),
inference(sigma_proxy_clausification,[],[f349]) ).
thf(f351,plain,
! [X1: $i] :
( ( ~ ( a1 @ X1 @ ( sK0 @ X1 ) )
| ~ ( likes @ piotr @ beer @ ( sK0 @ X1 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f350]) ).
thf(f352,plain,
! [X1: $i] :
( ( ~ ( likes @ piotr @ beer @ ( sK0 @ X1 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f351]) ).
thf(f353,plain,
! [X1: $i] :
( ( ~ ( a1 @ X1 @ ( sK0 @ X1 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f351]) ).
thf(f354,plain,
! [X1: $i] :
( $true
= ( a1 @ X1 @ ( sK0 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f353]) ).
thf(f355,plain,
! [X1: $i] :
( ( likes @ piotr @ beer @ ( sK0 @ X1 ) )
= $true ),
inference(not_proxy_clausification,[],[f352]) ).
thf(f408,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y0 @ Y3 )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) ) )
| ( possibly_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f314]) ).
thf(f409,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a1 @ Y0 @ Y3 )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) ) )
| ( possibly_likes @ Y1 @ Y2 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f408]) ).
thf(f410,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ X1 @ Y2 )
| ~ ( likes @ Y0 @ Y1 @ Y2 ) ) )
| ( possibly_likes @ Y0 @ Y1 @ X1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f409]) ).
thf(f411,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a1 @ X1 @ Y2 )
| ~ ( likes @ Y0 @ Y1 @ Y2 ) ) )
| ( possibly_likes @ Y0 @ Y1 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f410]) ).
thf(f412,plain,
! [X2: mu,X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ~ ( likes @ X2 @ Y0 @ Y1 ) ) )
| ( possibly_likes @ X2 @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f411]) ).
thf(f413,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a1 @ X1 @ Y1 )
| ~ ( likes @ X2 @ Y0 @ Y1 ) ) )
| ( possibly_likes @ X2 @ Y0 @ X1 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f412]) ).
thf(f414,plain,
! [X2: mu,X3: mu,X1: $i] :
( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) )
| ( possibly_likes @ X2 @ X3 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f413]) ).
thf(f415,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) ) )
= $true )
| ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f414]) ).
thf(f416,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) ) )
= $false )
| ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f415]) ).
thf(f417,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f416]) ).
thf(f418,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( a1 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) )
@ X4 ) )
| ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f417]) ).
thf(f419,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( a1 @ X1 @ X4 )
| ~ ( likes @ X2 @ X3 @ X4 ) ) ) ),
inference(beta-eta_normalization,[],[f418]) ).
thf(f420,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( a1 @ X1 @ X4 ) )
= $true )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) )
| ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f419]) ).
thf(f421,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( a1 @ X1 @ X4 )
= $false )
| ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) ) ),
inference(not_proxy_clausification,[],[f420]) ).
thf(f422,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( ( a1 @ X1 @ X4 )
= $false )
| ( ( likes @ X2 @ X3 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f421]) ).
thf(f667,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ mu
@ ^ [Y2: mu] :
~ ( possibly_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f328]) ).
thf(f668,plain,
( ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ~ ( !! @ mu
@ ^ [Y2: mu] :
~ ( possibly_likes @ Y1 @ Y2 @ Y0 ) ) )
@ sK6 )
= $false ),
inference(sigma_proxy_clausification,[],[f667]) ).
thf(f669,plain,
( ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( possibly_likes @ Y0 @ Y1 @ sK6 ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f668]) ).
thf(f670,plain,
( ( !! @ mu
@ ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( possibly_likes @ Y0 @ Y1 @ sK6 ) ) )
= $true ),
inference(not_proxy_clausification,[],[f669]) ).
thf(f671,plain,
! [X1: mu] :
( $true
= ( ^ [Y0: mu] :
~ ~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( possibly_likes @ Y0 @ Y1 @ sK6 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f670]) ).
thf(f672,plain,
! [X1: mu] :
( ( ~ ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( possibly_likes @ X1 @ Y0 @ sK6 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f671]) ).
thf(f673,plain,
! [X1: mu] :
( ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( possibly_likes @ X1 @ Y0 @ sK6 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f672]) ).
thf(f674,plain,
! [X1: mu] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
~ ( possibly_likes @ X1 @ Y0 @ sK6 ) ) ),
inference(not_proxy_clausification,[],[f673]) ).
thf(f675,plain,
! [X2: mu,X1: mu] :
( $true
= ( ^ [Y0: mu] :
~ ( possibly_likes @ X1 @ Y0 @ sK6 )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f674]) ).
thf(f676,plain,
! [X2: mu,X1: mu] :
( $true
= ( ~ ( possibly_likes @ X1 @ X2 @ sK6 ) ) ),
inference(beta-eta_normalization,[],[f675]) ).
thf(f677,plain,
! [X2: mu,X1: mu] :
( $false
= ( possibly_likes @ X1 @ X2 @ sK6 ) ),
inference(not_proxy_clausification,[],[f676]) ).
thf(f728,plain,
! [X2: $i,X0: mu,X1: mu] :
( ( $true = $false )
| ( $false
= ( a1 @ sK6 @ X2 ) )
| ( ( likes @ X0 @ X1 @ X2 )
= $false ) ),
inference(constrained_superposition,[],[f422,f677]) ).
thf(f730,plain,
! [X2: $i,X0: mu,X1: mu] :
( ( ( likes @ X0 @ X1 @ X2 )
= $false )
| ( $false
= ( a1 @ sK6 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f728]) ).
thf(f742,plain,
! [X0: $i] :
( ( ( a1 @ sK6 @ ( sK0 @ X0 ) )
= $false )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f730,f355]) ).
thf(f744,plain,
! [X0: $i] :
( ( a1 @ sK6 @ ( sK0 @ X0 ) )
= $false ),
inference(trivial_inequality_removal,[],[f742]) ).
thf(f748,plain,
$true = $false,
inference(constrained_superposition,[],[f744,f354]) ).
thf(f750,plain,
$false,
inference(trivial_inequality_removal,[],[f748]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT033^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n005.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 17:30:23 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running higher-order theorem proving
% 0.22/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.34 % (1966493)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.34 % (1966499)lrs+10_16_si=on:nwc=1.5:random_seed=1777634600:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.34 % (1966499)Instruction limit reached!
% 0.22/0.34 % (1966499)------------------------------
% 0.22/0.34 % (1966499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (1966499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (1966499)CaDiCaL version: 2.1.3
% 0.22/0.34 % (1966499)Termination reason: Instruction limit
% 0.22/0.34 % (1966499)Termination phase: Saturation
% 0.22/0.34 % (1966499)Time elapsed: 0.004 s
% 0.22/0.34 % (1966499)Peak memory usage: 11 MB
% 0.22/0.34 % (1966499)Instructions burned: 20 (million)
% 0.22/0.34 % (1966504)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.34 % (1966504)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
% 0.22/0.34 % (1966498)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=895725570:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.34 % (1966500)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4290419245:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.34 % (1966501)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=4236466071: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)
% 0.22/0.34 % (1966502)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3465422835:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.34 % (1966503)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3737338016:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.34 % (1966500)Instruction limit reached!
% 0.22/0.34 % (1966500)------------------------------
% 0.22/0.34 % (1966500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (1966500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (1966500)CaDiCaL version: 2.1.3
% 0.22/0.34 % (1966500)Termination reason: Instruction limit
% 0.22/0.34 % (1966500)Termination phase: shuffling
% 0.22/0.34 % (1966500)Time elapsed: 0.002 s
% 0.22/0.34 % (1966500)Peak memory usage: 9 MB
% 0.22/0.34 % (1966500)Instructions burned: 4 (million)
% 0.22/0.34 % (1966504)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=1640071679:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.34 % (1966502)Instruction limit reached!
% 0.22/0.34 % (1966502)------------------------------
% 0.22/0.34 % (1966502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (1966502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (1966502)CaDiCaL version: 2.1.3
% 0.22/0.34 % (1966502)Termination reason: Instruction limit
% 0.22/0.34 % (1966502)Termination phase: Saturation
% 0.22/0.34 % (1966502)Time elapsed: 0.013 s
% 0.22/0.34 % (1966502)Peak memory usage: 11 MB
% 0.22/0.34 % (1966502)Instructions burned: 24 (million)
% 0.22/0.34 % (1966506)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=602521690:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.34 % (1966506)Instruction limit reached!
% 0.22/0.34 % (1966506)------------------------------
% 0.22/0.34 % (1966506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (1966506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (1966506)CaDiCaL version: 2.1.3
% 0.22/0.34 % (1966506)Termination reason: Instruction limit
% 0.22/0.34 % (1966506)Termination phase: shuffling
% 0.22/0.34 % (1966506)Time elapsed: 0.002 s
% 0.22/0.34 % (1966506)Peak memory usage: 9 MB
% 0.22/0.34 % (1966506)Instructions burned: 4 (million)
% 0.22/0.34 % (1966513)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2096849154:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.34 % (1966498) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1966493-1966498"...
% 0.22/0.34 % (1966504) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1966493-1966504"...
% 0.22/0.34 % (1966513)Instruction limit reached!
% 0.22/0.34 % (1966513)------------------------------
% 0.22/0.34 % (1966513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (1966513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (1966513)CaDiCaL version: 2.1.3
% 0.22/0.34 % (1966513)Termination reason: Instruction limit
% 0.22/0.34 % (1966513)Termination phase: Preprocessing 2
% 0.22/0.34 % (1966513)Time elapsed: 0.004 s
% 0.22/0.34 % (1966513)Peak memory usage: 10 MB
% 0.22/0.34 % (1966513)Instructions burned: 8 (million)
% 0.22/0.34 % (1966498)...printing done.
% 0.22/0.34 % (1966504)...printing done.
% 0.22/0.34 % (1966498)Refutation found. Thanks to Tanya!
% 0.22/0.34 % SZS status Theorem for theBenchmark
% 0.22/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.34 % (1966498)------------------------------
% 0.22/0.34 % (1966498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.34 % (1966498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.34 % (1966498)CaDiCaL version: 2.1.3
% 0.22/0.34 % (1966498)Termination reason: Refutation
% 0.22/0.34 % (1966498)Time elapsed: 0.026 s
% 0.22/0.34 % (1966498)Peak memory usage: 12 MB
% 0.22/0.34 % (1966498)Instructions burned: 55 (million)
% 0.22/0.34 % (1966493)Success in time 0.069 s
% 0.22/0.35 % Vampire exiting
%------------------------------------------------------------------------------