%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT039^1 : 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 : n003.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 07:44:39 AM UTC 2026
% Result : Theorem 0.21s 0.32s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 14
% Syntax : Number of formulae : 107 ( 79 unt; 0 typ; 0 def)
% Number of atoms : 491 ( 117 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 784 ( 74 ~; 59 |; 0 &; 583 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 107 ( 107 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 67 usr; 10 con; 0-4 aty)
% ( 52 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 267 ( 181 ^; 84 !; 2 ?; 267 :)
% 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,
vNOT: $o > $o ).
thf(func_def_47,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_49,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_52,type,
vOR: $o > $o > $o ).
thf(func_def_53,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_55,type,
vIMP: $o > $o > $o ).
thf(func_def_56,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_57,type,
vAND: $o > $o > $o ).
thf(func_def_58,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_59,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_60,type,
sK0: mu > mu > $i > $i ).
thf(func_def_61,type,
sK1: mu > mu > $i > $i ).
thf(func_def_63,type,
sK3: mu > $i > mu > $i ).
thf(func_def_64,type,
sK4: $i > $i ).
thf(func_def_65,type,
sK5: $i > $i ).
thf(func_def_66,type,
sK6: $i > $i ).
thf(func_def_67,type,
sK7: $i > $i ).
thf(func_def_68,type,
sK8: $i > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
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(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,
( mdia
= ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f19,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(f20,axiom,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mserial) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f36,axiom,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a2_1) ).
thf(f48,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X0 @ X1 ) ) @ ( possibly_likes @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_4) ).
thf(f51,axiom,
msymmetric @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_B_a2) ).
thf(f54,axiom,
mserial @ a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a2) ).
thf(f73,conjecture,
mvalid @ ( possibly_likes @ jan @ pepsi ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f74,negated_conjecture,
~ ( mvalid @ ( possibly_likes @ jan @ pepsi ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
thf(f79,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f80,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f79]) ).
thf(f81,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f82,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f81]) ).
thf(f91,plain,
msymmetric @ a2,
inference(rectify,[],[f51]) ).
thf(f92,plain,
( ( msymmetric @ a2 )
= $true ),
inference(fool_elimination,[],[f91]) ).
thf(f99,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f100,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f99]) ).
thf(f120,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f121,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f120]) ).
thf(f130,plain,
~ ( mvalid @ ( possibly_likes @ jan @ pepsi ) ),
inference(rectify,[],[f74]) ).
thf(f131,plain,
( ( mvalid @ ( possibly_likes @ jan @ pepsi ) )
!= $true ),
inference(fool_elimination,[],[f130]) ).
thf(f140,plain,
mserial @ a2,
inference(rectify,[],[f54]) ).
thf(f141,plain,
( ( mserial @ a2 )
= $true ),
inference(fool_elimination,[],[f140]) ).
thf(f142,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
inference(rectify,[],[f19]) ).
thf(f143,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f142]) ).
thf(f152,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f161,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f169,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X0 @ X1 ) ) @ ( possibly_likes @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f48]) ).
thf(f170,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f169]) ).
thf(f177,plain,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
inference(rectify,[],[f20]) ).
thf(f178,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f177]) ).
thf(f193,plain,
mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ),
inference(rectify,[],[f36]) ).
thf(f194,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f193]) ).
thf(f208,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f209,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f208]) ).
thf(f210,plain,
( ( mvalid @ ( possibly_likes @ jan @ pepsi ) )
!= $true ),
inference(flattening,[],[f131]) ).
thf(f216,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f80]) ).
thf(f218,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f121]) ).
thf(f223,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f82]) ).
thf(f229,plain,
( ( mvalid @ ( possibly_likes @ jan @ pepsi ) )
!= $true ),
inference(cnf_transformation,[],[f210]) ).
thf(f241,plain,
( ( mserial @ a2 )
= $true ),
inference(cnf_transformation,[],[f141]) ).
thf(f243,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f143]) ).
thf(f253,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f100]) ).
thf(f255,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f152]) ).
thf(f256,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f209]) ).
thf(f258,plain,
( ( mvalid @ ( mbox @ a2 @ ( likes @ jan @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f194]) ).
thf(f271,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f178]) ).
thf(f277,plain,
( ( msymmetric @ a2 )
= $true ),
inference(cnf_transformation,[],[f92]) ).
thf(f278,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f170]) ).
thf(f282,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f161]) ).
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,[],[f282,f253,f218]) ).
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,[],[f255,f218,f223,f218]) ).
thf(f305,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( possibly_likes @ jan @ pepsi ) )
!= $true ),
inference(definition_unfolding,[],[f229,f216]) ).
thf(f312,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ a2 )
= $true ),
inference(definition_unfolding,[],[f241,f271]) ).
thf(f320,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ a2
@ ( likes @ jan @ pepsi ) ) ) ),
inference(definition_unfolding,[],[f258,f216,f223]) ).
thf(f332,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ a2 )
= $true ),
inference(definition_unfolding,[],[f277,f243]) ).
thf(f333,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 ) ) )
@ a2
@ ( likes @ Y0 @ Y1 ) )
@ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f278,f216,f256,f256,f287,f294]) ).
thf(f344,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a2 @ Y1 @ Y0 )
=> ( a2 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f332]) ).
thf(f345,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a2 @ Y1 @ Y0 )
=> ( a2 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f344]) ).
thf(f346,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( a2 @ Y0 @ X1 )
=> ( a2 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f345]) ).
thf(f347,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( a2 @ Y0 @ X1 )
=> ( a2 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f346]) ).
thf(f348,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( a2 @ X2 @ X1 )
=> ( a2 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f347]) ).
thf(f349,plain,
! [X2: $i,X1: $i] :
( ( ( a2 @ X2 @ X1 )
= $false )
| ( $true
= ( a2 @ X1 @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f348]) ).
thf(f438,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y0 @ Y3 )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) ) )
| ( possibly_likes @ Y1 @ Y2 @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f333]) ).
thf(f439,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( a2 @ Y0 @ Y3 )
| ~ ( likes @ Y1 @ Y2 @ Y3 ) ) )
| ( possibly_likes @ Y1 @ Y2 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f438]) ).
thf(f440,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ X1 @ Y2 )
| ~ ( likes @ Y0 @ Y1 @ Y2 ) ) )
| ( possibly_likes @ Y0 @ Y1 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f439]) ).
thf(f441,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( a2 @ X1 @ Y2 )
| ~ ( likes @ Y0 @ Y1 @ Y2 ) ) )
| ( possibly_likes @ Y0 @ Y1 @ X1 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f440]) ).
thf(f442,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ~ ( likes @ X2 @ Y0 @ Y1 ) ) )
| ( possibly_likes @ X2 @ Y0 @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f441]) ).
thf(f443,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ^ [Y0: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ X1 @ Y1 )
| ~ ( likes @ X2 @ Y0 @ Y1 ) ) )
| ( possibly_likes @ X2 @ Y0 @ X1 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f442]) ).
thf(f444,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) )
| ( possibly_likes @ X2 @ X3 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f443]) ).
thf(f445,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f444]) ).
thf(f446,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) ) )
= $false )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f445]) ).
thf(f447,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) ) ) )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f446]) ).
thf(f448,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ~ ( likes @ X2 @ X3 @ Y0 ) )
@ X4 ) )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f447]) ).
thf(f449,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( $true
= ( ~ ( a2 @ X1 @ X4 )
| ~ ( likes @ X2 @ X3 @ X4 ) ) ) ),
inference(beta-eta_normalization,[],[f448]) ).
thf(f450,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) )
| ( ( ~ ( a2 @ X1 @ X4 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f449]) ).
thf(f451,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( a2 @ X1 @ X4 ) )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f450]) ).
thf(f452,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a2 @ X1 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f451]) ).
thf(f479,plain,
( ( !! @ $i @ ( possibly_likes @ jan @ pepsi ) )
!= $true ),
inference(beta-eta_normalization,[],[f305]) ).
thf(f480,plain,
( ( possibly_likes @ jan @ pepsi @ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f479]) ).
thf(f653,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ jan @ pepsi @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f320]) ).
thf(f654,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ~ ( a2 @ Y0 @ Y1 )
| ( likes @ jan @ pepsi @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f653]) ).
thf(f655,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ jan @ pepsi @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f654]) ).
thf(f656,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( a2 @ X1 @ Y0 )
| ( likes @ jan @ pepsi @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f655]) ).
thf(f657,plain,
! [X2: $i,X1: $i] :
( $true
= ( ~ ( a2 @ X1 @ X2 )
| ( likes @ jan @ pepsi @ X2 ) ) ),
inference(beta-eta_normalization,[],[f656]) ).
thf(f658,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( a2 @ X1 @ X2 ) ) )
| ( ( likes @ jan @ pepsi @ X2 )
= $true ) ),
inference(or_proxy_clausification,[],[f657]) ).
thf(f659,plain,
! [X2: $i,X1: $i] :
( ( ( a2 @ X1 @ X2 )
= $false )
| ( ( likes @ jan @ pepsi @ X2 )
= $true ) ),
inference(not_proxy_clausification,[],[f658]) ).
thf(f660,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( a2 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f312]) ).
thf(f661,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( ?? @ $i @ ( a2 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f660]) ).
thf(f662,plain,
! [X1: $i] :
( ( ?? @ $i @ ( a2 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f661]) ).
thf(f663,plain,
! [X1: $i] :
( ( a2 @ X1 @ ( sK7 @ X1 ) )
= $true ),
inference(sigma_proxy_clausification,[],[f662]) ).
thf(f819,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a2 @ X1 @ X0 ) )
| ( $true
= ( likes @ jan @ pepsi @ X1 ) )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f349,f659]) ).
thf(f824,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( likes @ jan @ pepsi @ X1 ) )
| ( $false
= ( a2 @ X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f819]) ).
thf(f936,plain,
! [X0: $i] :
( ( $true = $false )
| ( ( likes @ jan @ pepsi @ X0 )
= $true ) ),
inference(constrained_superposition,[],[f663,f824]) ).
thf(f940,plain,
! [X0: $i] :
( ( likes @ jan @ pepsi @ X0 )
= $true ),
inference(trivial_inequality_removal,[],[f936]) ).
thf(f948,plain,
! [X0: $i] :
( ( ( a2 @ sK2 @ X0 )
= $false )
| ( ( likes @ jan @ pepsi @ X0 )
= $false )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f452,f480]) ).
thf(f1029,plain,
! [X0: $i] :
( ( ( a2 @ sK2 @ X0 )
= $false )
| ( ( likes @ jan @ pepsi @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f948]) ).
thf(f1076,plain,
! [X0: $i] :
( ( ( a2 @ sK2 @ X0 )
= $false )
| ( $true = $false ) ),
inference(forward_demodulation,[],[f1029,f940]) ).
thf(f1077,plain,
! [X0: $i] :
( ( a2 @ sK2 @ X0 )
= $false ),
inference(trivial_inequality_removal,[],[f1076]) ).
thf(f1080,plain,
$true = $false,
inference(constrained_superposition,[],[f1077,f663]) ).
thf(f1088,plain,
$false,
inference(trivial_inequality_removal,[],[f1080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT039^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n003.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 17:32:44 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.23 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
% 0.21/0.32 % (2809340)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.32 % (2809349)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=181810596:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.32 % (2809351)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.32 % (2809351)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
% 0.21/0.32 % (2809349)Instruction limit reached!
% 0.21/0.32 % (2809349)------------------------------
% 0.21/0.32 % (2809349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809349)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809349)Termination reason: Instruction limit
% 0.21/0.32 % (2809349)Termination phase: Saturation
% 0.21/0.32 % (2809349)Time elapsed: 0.007 s
% 0.21/0.32 % (2809349)Peak memory usage: 12 MB
% 0.21/0.32 % (2809349)Instructions burned: 25 (million)
% 0.21/0.32 % (2809345)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=902841337:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.32 % (2809346)lrs+10_16_si=on:nwc=1.5:random_seed=3783148224:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.32 % (2809347)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2864955526:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.32 % (2809350)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1498596595:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.32 % (2809348)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=3539322693: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)
% 0.21/0.32 % (2809351)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=3227881438:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.32 % (2809347)Instruction limit reached!
% 0.21/0.32 % (2809347)------------------------------
% 0.21/0.32 % (2809347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809347)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809347)Termination reason: Instruction limit
% 0.21/0.32 % (2809347)Termination phase: shuffling
% 0.21/0.32 % (2809347)Time elapsed: 0.002 s
% 0.21/0.32 % (2809347)Peak memory usage: 10 MB
% 0.21/0.32 % (2809347)Instructions burned: 4 (million)
% 0.21/0.32 % (2809346)Instruction limit reached!
% 0.21/0.32 % (2809346)------------------------------
% 0.21/0.32 % (2809346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809346)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809346)Termination reason: Instruction limit
% 0.21/0.32 % (2809346)Termination phase: Property scanning
% 0.21/0.32 % (2809346)Time elapsed: 0.008 s
% 0.21/0.32 % (2809346)Peak memory usage: 10 MB
% 0.21/0.32 % (2809346)Instructions burned: 19 (million)
% 0.21/0.32 % (2809358)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1941233785:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.32 % (2809358)Instruction limit reached!
% 0.21/0.32 % (2809358)------------------------------
% 0.21/0.32 % (2809358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809358)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809358)Termination reason: Instruction limit
% 0.21/0.32 % (2809358)Termination phase: shuffling
% 0.21/0.32 % (2809358)Time elapsed: 0.001 s
% 0.21/0.32 % (2809358)Peak memory usage: 10 MB
% 0.21/0.32 % (2809358)Instructions burned: 4 (million)
% 0.21/0.32 % (2809360)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=629646598:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.32 % (2809363)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2143038071:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.32 % (2809361)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.32 % (2809360)Instruction limit reached!
% 0.21/0.32 % (2809360)------------------------------
% 0.21/0.32 % (2809360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809360)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809360)Termination reason: Instruction limit
% 0.21/0.32 % (2809360)Termination phase: Property scanning
% 0.21/0.32 % (2809360)Time elapsed: 0.003 s
% 0.21/0.32 % (2809360)Peak memory usage: 10 MB
% 0.21/0.32 % (2809360)Instructions burned: 7 (million)
% 0.21/0.32 % (2809363)Instruction limit reached!
% 0.21/0.32 % (2809363)------------------------------
% 0.21/0.32 % (2809363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809363)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809363)Termination reason: Instruction limit
% 0.21/0.32 % (2809363)Termination phase: Property scanning
% 0.21/0.32 % (2809363)Time elapsed: 0.003 s
% 0.21/0.32 % (2809363)Peak memory usage: 10 MB
% 0.21/0.32 % (2809363)Instructions burned: 13 (million)
% 0.21/0.32 % (2809361)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4077737774:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.32 % (2809361)Instruction limit reached!
% 0.21/0.32 % (2809361)------------------------------
% 0.21/0.32 % (2809361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809361)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809361)Termination reason: Instruction limit
% 0.21/0.32 % (2809361)Termination phase: Property scanning
% 0.21/0.32 % (2809361)Time elapsed: 0.003 s
% 0.21/0.32 % (2809361)Peak memory usage: 10 MB
% 0.21/0.32 % (2809361)Instructions burned: 7 (million)
% 0.21/0.32 % (2809345) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2809340-2809345"...
% 0.21/0.32 % (2809367)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=4189218559:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.32 % (2809350)Instruction limit reached!
% 0.21/0.32 % (2809350)------------------------------
% 0.21/0.32 % (2809350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809350)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809350)Termination reason: Instruction limit
% 0.21/0.32 % (2809350)Termination phase: Saturation
% 0.21/0.32 % (2809350)Time elapsed: 0.036 s
% 0.21/0.32 % (2809350)Peak memory usage: 13 MB
% 0.21/0.32 % (2809350)Instructions burned: 77 (million)
% 0.21/0.32 % (2809345)...printing done.
% 0.21/0.32 % (2809345)Refutation found. Thanks to Tanya!
% 0.21/0.32 % SZS status Theorem for theBenchmark
% 0.21/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.32 % (2809345)------------------------------
% 0.21/0.32 % (2809345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.32 % (2809345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.32 % (2809345)CaDiCaL version: 2.1.3
% 0.21/0.32 % (2809345)Termination reason: Refutation
% 0.21/0.32 % (2809345)Time elapsed: 0.037 s
% 0.21/0.32 % (2809345)Peak memory usage: 13 MB
% 0.21/0.32 % (2809345)Instructions burned: 79 (million)
% 0.21/0.32 % (2809340)Success in time 0.077 s
% 0.21/0.32 % Vampire exiting
%------------------------------------------------------------------------------