%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT038^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 120 ( 90 unt; 0 typ; 0 def)
% Number of atoms : 552 ( 128 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 907 ( 93 ~; 66 |; 0 &; 673 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 116 ( 116 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 67 usr; 10 con; 0-4 aty)
% ( 59 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 293 ( 200 ^; 91 !; 2 ?; 293 :)
% 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,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_46,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_50,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_51,type,
vNOT: $o > $o ).
thf(func_def_52,type,
vOR: $o > $o > $o ).
thf(func_def_53,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_54,type,
vIMP: $o > $o > $o ).
thf(func_def_55,type,
vAND: $o > $o > $o ).
thf(func_def_56,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_58,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_60,type,
sK0: $i > $i ).
thf(func_def_61,type,
sK1: mu > $i > mu > $i ).
thf(func_def_62,type,
sK2: 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: mu > $i > mu > $i ).
thf(func_def_68,type,
sK8: $i > $i ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).
thf(f16,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f19,axiom,
( msymmetric
= ( ^ [X0: $i > $i > $o] :
! [X2: $i,X1: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(f20,axiom,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mserial) ).
thf(f28,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f33,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_2) ).
thf(f43,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',axiom_user_communication_3) ).
thf(f50,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(f53,axiom,
mserial @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(f73,conjecture,
mvalid @ ( possibly_likes @ piotr @ pepsi ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f74,negated_conjecture,
~ ( mvalid @ ( possibly_likes @ piotr @ pepsi ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
thf(f81,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f82,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f81]) ).
thf(f85,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ X0 @ X1 ) ) @ ( possibly_likes @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f47]) ).
thf(f86,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f85]) ).
thf(f91,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f94,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f99,plain,
msymmetric @ a1,
inference(rectify,[],[f50]) ).
thf(f100,plain,
( ( msymmetric @ a1 )
= $true ),
inference(fool_elimination,[],[f99]) ).
thf(f105,plain,
~ ( mvalid @ ( possibly_likes @ piotr @ pepsi ) ),
inference(rectify,[],[f74]) ).
thf(f106,plain,
( ( mvalid @ ( possibly_likes @ piotr @ pepsi ) )
!= $true ),
inference(fool_elimination,[],[f105]) ).
thf(f107,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f108,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f107]) ).
thf(f109,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f110,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f109]) ).
thf(f111,plain,
( mserial
= ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) ) ),
inference(rectify,[],[f20]) ).
thf(f112,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f111]) ).
thf(f131,plain,
( msymmetric
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X2 @ X1 )
=> ( X0 @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f19]) ).
thf(f132,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f131]) ).
thf(f158,plain,
mserial @ a1,
inference(rectify,[],[f53]) ).
thf(f159,plain,
( ( mserial @ a1 )
= $true ),
inference(fool_elimination,[],[f158]) ).
thf(f177,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f16]) ).
thf(f178,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f177]) ).
thf(f181,plain,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
inference(rectify,[],[f43]) ).
thf(f182,plain,
( ( mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(fool_elimination,[],[f181]) ).
thf(f204,plain,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ),
inference(rectify,[],[f33]) ).
thf(f205,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(fool_elimination,[],[f204]) ).
thf(f208,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f209,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f208]) ).
thf(f210,plain,
( ( mvalid @ ( possibly_likes @ piotr @ pepsi ) )
!= $true ),
inference(flattening,[],[f106]) ).
thf(f213,plain,
( ( mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(cnf_transformation,[],[f182]) ).
thf(f214,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f209]) ).
thf(f218,plain,
( ( mvalid @ ( possibly_likes @ piotr @ pepsi ) )
!= $true ),
inference(cnf_transformation,[],[f210]) ).
thf(f221,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f178]) ).
thf(f224,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f82]) ).
thf(f228,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f110]) ).
thf(f247,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ pepsi ) ) )
= $true ),
inference(cnf_transformation,[],[f205]) ).
thf(f250,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f94]) ).
thf(f257,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f112]) ).
thf(f260,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f132]) ).
thf(f263,plain,
( ( msymmetric @ a1 )
= $true ),
inference(cnf_transformation,[],[f100]) ).
thf(f265,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a1 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f86]) ).
thf(f271,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f91]) ).
thf(f273,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f108]) ).
thf(f277,plain,
( ( mserial @ a1 )
= $true ),
inference(cnf_transformation,[],[f159]) ).
thf(f287,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f271,f224,f273]) ).
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] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f250,f273,f221,f273]) ).
thf(f296,plain,
( ( ^ [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] :
( ( Y3 @ Y5 )
| ~ ( Y2 @ Y4 @ Y5 ) ) )
@ Y0
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ a1
@ ( likes @ piotr @ beer ) ) )
= $true ),
inference(definition_unfolding,[],[f213,f214,f294]) ).
thf(f298,plain,
( $true
!= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( possibly_likes @ piotr @ pepsi ) ) ),
inference(definition_unfolding,[],[f218,f214]) ).
thf(f312,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) )
@ a1
@ ( likes @ piotr @ pepsi ) ) ) ),
inference(definition_unfolding,[],[f247,f214,f221]) ).
thf(f320,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y1 @ Y2 )
=> ( Y0 @ Y2 @ Y1 ) ) ) )
@ a1 ) ),
inference(definition_unfolding,[],[f263,f260]) ).
thf(f322,plain,
( $true
= ( ^ [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] :
( ( Y5 @ Y6 )
| ( Y4 @ 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] :
( ( Y5 @ Y7 )
| ~ ( Y4 @ Y6 @ Y7 ) ) )
@ Y2
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ a1
@ ( likes @ Y0 @ Y1 ) )
@ ( possibly_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f265,f214,f228,f228,f287,f294]) ).
thf(f330,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ a1 )
= $true ),
inference(definition_unfolding,[],[f277,f257]) ).
thf(f352,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( possibly_likes @ Y1 @ Y2 @ Y0 )
| ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a1 @ Y0 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f322]) ).
thf(f353,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( possibly_likes @ Y1 @ Y2 @ Y0 )
| ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a1 @ Y0 @ Y3 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f352]) ).
thf(f354,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( possibly_likes @ Y0 @ Y1 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( a1 @ X1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f353]) ).
thf(f355,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( possibly_likes @ Y0 @ Y1 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( a1 @ X1 @ Y2 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f354]) ).
thf(f356,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( ( possibly_likes @ X2 @ Y0 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( a1 @ X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f355]) ).
thf(f357,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ^ [Y0: mu] :
( ( possibly_likes @ X2 @ Y0 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( a1 @ X1 @ Y1 ) ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f356]) ).
thf(f358,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f357]) ).
thf(f359,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f358]) ).
thf(f360,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) ) )
= $false )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f359]) ).
thf(f361,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) )
= $true )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f360]) ).
thf(f362,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) )
@ X4 )
= $true ) ),
inference(pi_proxy_clausification,[],[f361]) ).
thf(f363,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ( a1 @ X1 @ X4 ) ) )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(beta-eta_normalization,[],[f362]) ).
thf(f364,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ~ ( likes @ X2 @ X3 @ X4 ) ) )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( ~ ( a1 @ X1 @ X4 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f363]) ).
thf(f365,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( ~ ( a1 @ X1 @ X4 ) )
= $true )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f364]) ).
thf(f366,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( $false
= ( a1 @ X1 @ X4 ) ) ),
inference(not_proxy_clausification,[],[f365]) ).
thf(f468,plain,
( $true
!= ( !! @ $i @ ( possibly_likes @ piotr @ pepsi ) ) ),
inference(beta-eta_normalization,[],[f298]) ).
thf(f469,plain,
( $false
= ( possibly_likes @ piotr @ pepsi @ sK3 ) ),
inference(sigma_proxy_clausification,[],[f468]) ).
thf(f493,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ piotr @ beer @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f296]) ).
thf(f494,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ piotr @ beer @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f493]) ).
thf(f495,plain,
! [X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ piotr @ beer @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f494]) ).
thf(f496,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ piotr @ beer @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) )
= $false ),
inference(not_proxy_clausification,[],[f495]) ).
thf(f497,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ~ ( likes @ piotr @ beer @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) )
@ ( sK6 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f496]) ).
thf(f498,plain,
! [X1: $i] :
( $false
= ( ~ ( likes @ piotr @ beer @ ( sK6 @ X1 ) )
| ~ ( a1 @ X1 @ ( sK6 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f497]) ).
thf(f499,plain,
! [X1: $i] :
( $false
= ( ~ ( a1 @ X1 @ ( sK6 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f498]) ).
thf(f502,plain,
! [X1: $i] :
( ( a1 @ X1 @ ( sK6 @ X1 ) )
= $true ),
inference(not_proxy_clausification,[],[f499]) ).
thf(f605,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ piotr @ pepsi @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f312]) ).
thf(f606,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ piotr @ pepsi @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f605]) ).
thf(f607,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ piotr @ pepsi @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f606]) ).
thf(f608,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( likes @ piotr @ pepsi @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f607]) ).
thf(f609,plain,
! [X2: $i,X1: $i] :
( ( ( likes @ piotr @ pepsi @ X2 )
| ~ ( a1 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f608]) ).
thf(f610,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( a1 @ X1 @ X2 ) ) )
| ( ( likes @ piotr @ pepsi @ X2 )
= $true ) ),
inference(or_proxy_clausification,[],[f609]) ).
thf(f611,plain,
! [X2: $i,X1: $i] :
( ( ( a1 @ X1 @ X2 )
= $false )
| ( ( likes @ piotr @ pepsi @ X2 )
= $true ) ),
inference(not_proxy_clausification,[],[f610]) ).
thf(f612,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( a1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f330]) ).
thf(f613,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] : ( ?? @ $i @ ( a1 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f612]) ).
thf(f614,plain,
! [X1: $i] :
( $true
= ( ?? @ $i @ ( a1 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f613]) ).
thf(f615,plain,
! [X1: $i] :
( $true
= ( a1 @ X1 @ ( sK8 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f614]) ).
thf(f639,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y0 @ Y1 )
=> ( a1 @ Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f320]) ).
thf(f640,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y0 @ Y1 )
=> ( a1 @ Y1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f639]) ).
thf(f641,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( a1 @ X1 @ Y0 )
=> ( a1 @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f640]) ).
thf(f642,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( a1 @ X1 @ Y0 )
=> ( a1 @ Y0 @ X1 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f641]) ).
thf(f643,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( a1 @ X1 @ X2 )
=> ( a1 @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f642]) ).
thf(f644,plain,
! [X2: $i,X1: $i] :
( ( ( a1 @ X1 @ X2 )
= $false )
| ( $true
= ( a1 @ X2 @ X1 ) ) ),
inference(imp_proxy_clausification,[],[f643]) ).
thf(f787,plain,
! [X0: $i,X1: $i] :
( ( $false
= ( a1 @ X1 @ X0 ) )
| ( $true = $false )
| ( $true
= ( likes @ piotr @ pepsi @ X1 ) ) ),
inference(constrained_superposition,[],[f644,f611]) ).
thf(f793,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( likes @ piotr @ pepsi @ X1 ) )
| ( $false
= ( a1 @ X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f787]) ).
thf(f878,plain,
! [X0: $i] :
( ( $true
= ( likes @ piotr @ pepsi @ X0 ) )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f793,f615]) ).
thf(f883,plain,
! [X0: $i] :
( $true
= ( likes @ piotr @ pepsi @ X0 ) ),
inference(trivial_inequality_removal,[],[f878]) ).
thf(f959,plain,
! [X0: $i] :
( ( $true = $false )
| ( ( a1 @ sK3 @ X0 )
= $false )
| ( $false
= ( likes @ piotr @ pepsi @ X0 ) ) ),
inference(constrained_superposition,[],[f469,f366]) ).
thf(f990,plain,
! [X0: $i] :
( ( ( a1 @ sK3 @ X0 )
= $false )
| ( $false
= ( likes @ piotr @ pepsi @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f959]) ).
thf(f1052,plain,
! [X0: $i] :
( ( ( a1 @ sK3 @ X0 )
= $false )
| ( $true = $false ) ),
inference(forward_demodulation,[],[f990,f883]) ).
thf(f1053,plain,
! [X0: $i] :
( ( a1 @ sK3 @ X0 )
= $false ),
inference(trivial_inequality_removal,[],[f1052]) ).
thf(f1057,plain,
$true = $false,
inference(constrained_superposition,[],[f1053,f502]) ).
thf(f1062,plain,
$false,
inference(trivial_inequality_removal,[],[f1057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT038^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:30:48 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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
% 0.20/0.32 % (1121370)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.32 % (1121379)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=405574926:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.32 % (1121377)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3599177180:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.32 % (1121376)lrs+10_16_si=on:nwc=1.5:random_seed=1013689938:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.32 % (1121375)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2103133118:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.32 % (1121378)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=685308324: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)
% 0.20/0.32 % (1121381)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.32 % (1121381)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
% 0.20/0.32 % (1121379)Instruction limit reached!
% 0.20/0.32 % (1121379)------------------------------
% 0.20/0.32 % (1121379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121379)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121379)Termination reason: Instruction limit
% 0.20/0.32 % (1121379)Termination phase: Saturation
% 0.20/0.32 % (1121379)Time elapsed: 0.007 s
% 0.20/0.32 % (1121379)Peak memory usage: 11 MB
% 0.20/0.32 % (1121379)Instructions burned: 25 (million)
% 0.20/0.32 % (1121380)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1489292779:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.32 % (1121377)Instruction limit reached!
% 0.20/0.32 % (1121377)------------------------------
% 0.20/0.32 % (1121377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121377)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121377)Termination reason: Instruction limit
% 0.20/0.32 % (1121377)Termination phase: Property scanning
% 0.20/0.32 % (1121377)Time elapsed: 0.002 s
% 0.20/0.32 % (1121377)Peak memory usage: 9 MB
% 0.20/0.32 % (1121377)Instructions burned: 5 (million)
% 0.20/0.32 % (1121381)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=4145759794:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.32 % (1121376)Instruction limit reached!
% 0.20/0.32 % (1121376)------------------------------
% 0.20/0.32 % (1121376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121376)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121376)Termination reason: Instruction limit
% 0.20/0.32 % (1121376)Termination phase: Property scanning
% 0.20/0.32 % (1121376)Time elapsed: 0.008 s
% 0.20/0.32 % (1121376)Peak memory usage: 10 MB
% 0.20/0.32 % (1121376)Instructions burned: 18 (million)
% 0.20/0.32 % (1121388)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3431978511:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.32 % (1121388)Instruction limit reached!
% 0.20/0.32 % (1121388)------------------------------
% 0.20/0.32 % (1121388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121388)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121388)Termination reason: Instruction limit
% 0.20/0.32 % (1121388)Termination phase: shuffling
% 0.20/0.32 % (1121388)Time elapsed: 0.001 s
% 0.20/0.32 % (1121388)Peak memory usage: 10 MB
% 0.20/0.32 % (1121388)Instructions burned: 4 (million)
% 0.20/0.32 % (1121389)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1566959139:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.32 % (1121391)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.32 % (1121393)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3497796995:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.32 % (1121389)Instruction limit reached!
% 0.20/0.32 % (1121389)------------------------------
% 0.20/0.32 % (1121389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121389)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121389)Termination reason: Instruction limit
% 0.20/0.32 % (1121389)Termination phase: Property scanning
% 0.20/0.32 % (1121389)Time elapsed: 0.003 s
% 0.20/0.32 % (1121389)Peak memory usage: 10 MB
% 0.20/0.32 % (1121389)Instructions burned: 5 (million)
% 0.20/0.32 % (1121391)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1121146132:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.32 % (1121393)Instruction limit reached!
% 0.20/0.32 % (1121393)------------------------------
% 0.20/0.32 % (1121393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121393)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121393)Termination reason: Instruction limit
% 0.20/0.32 % (1121393)Termination phase: Property scanning
% 0.20/0.32 % (1121393)Time elapsed: 0.004 s
% 0.20/0.32 % (1121393)Peak memory usage: 11 MB
% 0.20/0.32 % (1121393)Instructions burned: 16 (million)
% 0.20/0.32 % (1121391)Instruction limit reached!
% 0.20/0.32 % (1121391)------------------------------
% 0.20/0.32 % (1121391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121391)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121391)Termination reason: Instruction limit
% 0.20/0.32 % (1121391)Termination phase: Property scanning
% 0.20/0.32 % (1121391)Time elapsed: 0.004 s
% 0.20/0.32 % (1121391)Peak memory usage: 10 MB
% 0.20/0.32 % (1121391)Instructions burned: 8 (million)
% 0.20/0.32 % (1121375) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1121370-1121375"...
% 0.20/0.32 % (1121380)Instruction limit reached!
% 0.20/0.32 % (1121380)------------------------------
% 0.20/0.32 % (1121380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121380)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121380)Termination reason: Instruction limit
% 0.20/0.32 % (1121380)Termination phase: Saturation
% 0.20/0.32 % (1121380)Time elapsed: 0.036 s
% 0.20/0.32 % (1121380)Peak memory usage: 12 MB
% 0.20/0.32 % (1121380)Instructions burned: 76 (million)
% 0.20/0.32 % (1121398)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=1191162419:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.32 % (1121375)...printing done.
% 0.20/0.32 % (1121375)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Theorem for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (1121375)------------------------------
% 0.20/0.32 % (1121375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (1121375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (1121375)CaDiCaL version: 2.1.3
% 0.20/0.32 % (1121375)Termination reason: Refutation
% 0.20/0.32 % (1121375)Time elapsed: 0.039 s
% 0.20/0.32 % (1121375)Peak memory usage: 13 MB
% 0.20/0.32 % (1121375)Instructions burned: 78 (million)
% 0.20/0.32 % (1121370)Success in time 0.072 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------