%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT041^1 : 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 : n026.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 0.25s 0.43s
% Output : Refutation 0.25s
% 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,
vNOT: $o > $o ).
thf(func_def_46,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_47,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_48,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_49,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_50,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_51,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,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_58,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
vOR: $o > $o > $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_63,type,
sK3: $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,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/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/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,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(f19,axiom,
( msymmetric
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(f20,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) )
= mserial ),
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(f38,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a2_3) ).
thf(f43,axiom,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_3) ).
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/sandbox/benchmark/theBenchmark.p',axiom_user_communication_4) ).
thf(f50,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(f54,axiom,
mserial @ a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a2) ).
thf(f73,conjecture,
mvalid @ ( possibly_likes @ piotr @ beer ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f74,negated_conjecture,
~ ( mvalid @ ( possibly_likes @ piotr @ beer ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
thf(f75,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f76,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f75]) ).
thf(f77,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) )
= mserial ),
inference(rectify,[],[f20]) ).
thf(f78,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f77]) ).
thf(f79,plain,
mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ),
inference(rectify,[],[f38]) ).
thf(f80,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(fool_elimination,[],[f79]) ).
thf(f83,plain,
mserial @ a2,
inference(rectify,[],[f54]) ).
thf(f84,plain,
( ( mserial @ a2 )
= $true ),
inference(fool_elimination,[],[f83]) ).
thf(f87,plain,
msymmetric @ a1,
inference(rectify,[],[f50]) ).
thf(f88,plain,
( ( msymmetric @ a1 )
= $true ),
inference(fool_elimination,[],[f87]) ).
thf(f91,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ X0 @ X1 ) ) @ ( possibly_likes @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f48]) ).
thf(f92,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f91]) ).
thf(f106,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f107,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f106]) ).
thf(f112,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f117,plain,
mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ),
inference(rectify,[],[f43]) ).
thf(f118,plain,
( ( mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(fool_elimination,[],[f117]) ).
thf(f121,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f122,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f121]) ).
thf(f125,plain,
~ ( mvalid @ ( possibly_likes @ piotr @ beer ) ),
inference(rectify,[],[f74]) ).
thf(f126,plain,
( ( mvalid @ ( possibly_likes @ piotr @ beer ) )
!= $true ),
inference(fool_elimination,[],[f125]) ).
thf(f139,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f143,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f144,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f143]) ).
thf(f200,plain,
( msymmetric
= ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f19]) ).
thf(f201,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f200]) ).
thf(f204,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f205,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f204]) ).
thf(f210,plain,
( ( mvalid @ ( possibly_likes @ piotr @ beer ) )
!= $true ),
inference(flattening,[],[f126]) ).
thf(f219,plain,
( ( mserial @ a2 )
= $true ),
inference(cnf_transformation,[],[f84]) ).
thf(f220,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f201]) ).
thf(f221,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f139]) ).
thf(f223,plain,
( ( mvalid @ ( possibly_likes @ piotr @ beer ) )
!= $true ),
inference(cnf_transformation,[],[f210]) ).
thf(f227,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f122]) ).
thf(f232,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f107]) ).
thf(f243,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(cnf_transformation,[],[f80]) ).
thf(f258,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f76]) ).
thf(f261,plain,
( ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a2 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f92]) ).
thf(f264,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f112]) ).
thf(f265,plain,
( ( msymmetric @ a1 )
= $true ),
inference(cnf_transformation,[],[f88]) ).
thf(f269,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f144]) ).
thf(f274,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f78]) ).
thf(f281,plain,
( ( mvalid @ ( mdia @ a1 @ ( likes @ piotr @ beer ) ) )
= $true ),
inference(cnf_transformation,[],[f118]) ).
thf(f283,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f205]) ).
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,[],[f221,f269,f258]) ).
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,[],[f264,f258,f283,f258]) ).
thf(f300,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ a2 ) ),
inference(definition_unfolding,[],[f219,f274]) ).
thf(f301,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( possibly_likes @ piotr @ beer ) )
!= $true ),
inference(definition_unfolding,[],[f223,f232]) ).
thf(f309,plain,
( ( ^ [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 @ beer ) ) )
= $true ),
inference(definition_unfolding,[],[f243,f232,f283]) ).
thf(f323,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] :
( ( Y5 @ Y7 )
| ~ ( Y4 @ Y6 @ Y7 ) ) )
@ Y2
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y3 ) ) )
@ a2
@ ( likes @ Y0 @ Y1 ) )
@ ( possibly_likes @ Y0 @ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f261,f232,f227,f227,f287,f294]) ).
thf(f324,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ a1 )
= $true ),
inference(definition_unfolding,[],[f265,f220]) ).
thf(f334,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,[],[f281,f232,f294]) ).
thf(f359,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ piotr @ beer @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f334]) ).
thf(f360,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ piotr @ beer @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f359]) ).
thf(f361,plain,
! [X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ piotr @ beer @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f360]) ).
thf(f362,plain,
! [X1: $i] :
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ piotr @ beer @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f361]) ).
thf(f363,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( likes @ piotr @ beer @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) )
@ ( sK0 @ X1 ) )
= $false ),
inference(sigma_proxy_clausification,[],[f362]) ).
thf(f364,plain,
! [X1: $i] :
( $false
= ( ~ ( likes @ piotr @ beer @ ( sK0 @ X1 ) )
| ~ ( a1 @ X1 @ ( sK0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f363]) ).
thf(f365,plain,
! [X1: $i] :
( $false
= ( ~ ( a1 @ X1 @ ( sK0 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f364]) ).
thf(f368,plain,
! [X1: $i] :
( ( a1 @ X1 @ ( sK0 @ X1 ) )
= $true ),
inference(not_proxy_clausification,[],[f365]) ).
thf(f386,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a2 @ Y0 @ Y3 ) ) )
| ( possibly_likes @ Y1 @ Y2 @ Y0 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f323]) ).
thf(f387,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a2 @ Y0 @ Y3 ) ) )
| ( possibly_likes @ Y1 @ Y2 @ Y0 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f386]) ).
thf(f388,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( a2 @ X1 @ Y2 ) ) )
| ( possibly_likes @ Y0 @ Y1 @ X1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f387]) ).
thf(f389,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( a2 @ X1 @ Y2 ) ) )
| ( possibly_likes @ Y0 @ Y1 @ X1 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f388]) ).
thf(f390,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( a2 @ X1 @ Y1 ) ) )
| ( possibly_likes @ X2 @ Y0 @ X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f389]) ).
thf(f391,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ^ [Y0: mu] :
( ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( a2 @ X1 @ Y1 ) ) )
| ( possibly_likes @ X2 @ Y0 @ X1 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f390]) ).
thf(f392,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) )
| ( possibly_likes @ X2 @ X3 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f391]) ).
thf(f393,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f392]) ).
thf(f394,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f393]) ).
thf(f395,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f394]) ).
thf(f396,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a2 @ X1 @ Y0 ) )
@ X4 )
= $true )
| ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f395]) ).
thf(f397,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ( a2 @ X1 @ X4 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f396]) ).
thf(f398,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( a2 @ X1 @ X4 ) )
= $true )
| ( ( ~ ( likes @ X2 @ X3 @ X4 ) )
= $true )
| ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f397]) ).
thf(f399,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( likes @ X2 @ X3 @ X4 ) )
= $true )
| ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( ( a2 @ X1 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f398]) ).
thf(f400,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( possibly_likes @ X2 @ X3 @ X1 ) )
| ( ( likes @ X2 @ X3 @ X4 )
= $false )
| ( ( a2 @ X1 @ X4 )
= $false ) ),
inference(not_proxy_clausification,[],[f399]) ).
thf(f475,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ piotr @ beer @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f309]) ).
thf(f476,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ piotr @ beer @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f475]) ).
thf(f477,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ piotr @ beer @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f476]) ).
thf(f478,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( likes @ piotr @ beer @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f477]) ).
thf(f479,plain,
! [X2: $i,X1: $i] :
( ( ( likes @ piotr @ beer @ X2 )
| ~ ( a1 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f478]) ).
thf(f480,plain,
! [X2: $i,X1: $i] :
( ( ( likes @ piotr @ beer @ X2 )
= $true )
| ( ( ~ ( a1 @ X1 @ X2 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f479]) ).
thf(f481,plain,
! [X2: $i,X1: $i] :
( ( ( likes @ piotr @ beer @ X2 )
= $true )
| ( $false
= ( a1 @ X1 @ X2 ) ) ),
inference(not_proxy_clausification,[],[f480]) ).
thf(f510,plain,
( ( !! @ $i @ ( possibly_likes @ piotr @ beer ) )
!= $true ),
inference(beta-eta_normalization,[],[f301]) ).
thf(f511,plain,
( ( possibly_likes @ piotr @ beer @ sK4 )
= $false ),
inference(sigma_proxy_clausification,[],[f510]) ).
thf(f536,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f324]) ).
thf(f537,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f536]) ).
thf(f538,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f537]) ).
thf(f539,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a1 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f538]) ).
thf(f540,plain,
! [X2: $i,X1: $i] :
( ( ( a1 @ X2 @ X1 )
=> ( a1 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f539]) ).
thf(f541,plain,
! [X2: $i,X1: $i] :
( ( ( a1 @ X1 @ X2 )
= $true )
| ( ( a1 @ X2 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f540]) ).
thf(f542,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( a2 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f300]) ).
thf(f543,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( ?? @ $i @ ( a2 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f542]) ).
thf(f544,plain,
! [X1: $i] :
( ( ?? @ $i @ ( a2 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f543]) ).
thf(f545,plain,
! [X1: $i] :
( ( a2 @ X1 @ ( sK6 @ X1 ) )
= $true ),
inference(sigma_proxy_clausification,[],[f544]) ).
thf(f784,plain,
! [X0: $i,X1: $i] :
( ( $false = $true )
| ( ( a1 @ X1 @ X0 )
= $false )
| ( ( likes @ piotr @ beer @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f481,f541]) ).
thf(f793,plain,
! [X0: $i,X1: $i] :
( ( ( a1 @ X1 @ X0 )
= $false )
| ( ( likes @ piotr @ beer @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f784]) ).
thf(f880,plain,
! [X0: $i] :
( ( $true
= ( likes @ piotr @ beer @ X0 ) )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f368,f793]) ).
thf(f882,plain,
! [X0: $i] :
( $true
= ( likes @ piotr @ beer @ X0 ) ),
inference(trivial_inequality_removal,[],[f880]) ).
thf(f976,plain,
! [X0: $i] :
( ( $false
= ( likes @ piotr @ beer @ X0 ) )
| ( $false
= ( a2 @ sK4 @ X0 ) )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f511,f400]) ).
thf(f1016,plain,
! [X0: $i] :
( ( $false
= ( a2 @ sK4 @ X0 ) )
| ( $false
= ( likes @ piotr @ beer @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f976]) ).
thf(f1072,plain,
! [X0: $i] :
( ( $false
= ( a2 @ sK4 @ X0 ) )
| ( $false = $true ) ),
inference(forward_demodulation,[],[f1016,f882]) ).
thf(f1073,plain,
! [X0: $i] :
( $false
= ( a2 @ sK4 @ X0 ) ),
inference(trivial_inequality_removal,[],[f1072]) ).
thf(f1080,plain,
$false = $true,
inference(constrained_superposition,[],[f545,f1073]) ).
thf(f1087,plain,
$false,
inference(trivial_inequality_removal,[],[f1080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT041^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n026.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:33:42 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running higher-order theorem proving
% 0.25/0.29 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
% 0.25/0.43 % (918078)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.43 % (918090)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.25/0.43 % (918090)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
% 0.25/0.43 % (918090)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=819022346:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.25/0.43 % (918084)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4280321971:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.25/0.43 % (918085)lrs+10_16_si=on:nwc=1.5:random_seed=1732135768:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.25/0.43 % (918086)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3758178431:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.25/0.43 % (918087)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=1399310533: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)
% 0.25/0.43 % (918088)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1152218988:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.25/0.43 % (918089)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=763129923:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.25/0.43 % (918086)Instruction limit reached!
% 0.25/0.43 % (918086)------------------------------
% 0.25/0.43 % (918086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.43 % (918086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.43 % (918086)CaDiCaL version: 2.1.3
% 0.25/0.43 % (918086)Termination reason: Instruction limit
% 0.25/0.43 % (918086)Termination phase: shuffling
% 0.25/0.43 % (918086)Time elapsed: 0.004 s
% 0.25/0.43 % (918086)Peak memory usage: 9 MB
% 0.25/0.43 % (918086)Instructions burned: 4 (million)
% 0.25/0.43 % (918085)Instruction limit reached!
% 0.25/0.43 % (918085)------------------------------
% 0.25/0.43 % (918085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.43 % (918085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.43 % (918085)CaDiCaL version: 2.1.3
% 0.25/0.43 % (918085)Termination reason: Instruction limit
% 0.25/0.43 % (918085)Termination phase: Property scanning
% 0.25/0.43 % (918085)Time elapsed: 0.015 s
% 0.25/0.43 % (918085)Peak memory usage: 10 MB
% 0.25/0.43 % (918085)Instructions burned: 19 (million)
% 0.25/0.43 % (918088)Instruction limit reached!
% 0.25/0.43 % (918088)------------------------------
% 0.25/0.43 % (918088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.43 % (918088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.43 % (918088)CaDiCaL version: 2.1.3
% 0.25/0.43 % (918088)Termination reason: Instruction limit
% 0.25/0.43 % (918088)Termination phase: Saturation
% 0.25/0.43 % (918088)Time elapsed: 0.023 s
% 0.25/0.43 % (918088)Peak memory usage: 11 MB
% 0.25/0.43 % (918088)Instructions burned: 25 (million)
% 0.25/0.43 % (918090)Instruction limit reached!
% 0.25/0.43 % (918090)------------------------------
% 0.25/0.43 % (918090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.43 % (918090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.43 % (918090)CaDiCaL version: 2.1.3
% 0.25/0.43 % (918090)Termination reason: Instruction limit
% 0.25/0.43 % (918090)Termination phase: Saturation
% 0.25/0.43 % (918090)Time elapsed: 0.075 s
% 0.25/0.43 % (918090)Peak memory usage: 12 MB
% 0.25/0.43 % (918090)Instructions burned: 159 (million)
% 0.25/0.43 % (918084) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-918078-918084"...
% 0.25/0.43 % (918089)Instruction limit reached!
% 0.25/0.43 % (918089)------------------------------
% 0.25/0.43 % (918089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.43 % (918089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.43 % (918089)CaDiCaL version: 2.1.3
% 0.25/0.43 % (918089)Termination reason: Instruction limit
% 0.25/0.43 % (918089)Termination phase: Saturation
% 0.25/0.43 % (918089)Time elapsed: 0.065 s
% 0.25/0.43 % (918089)Peak memory usage: 12 MB
% 0.25/0.43 % (918089)Instructions burned: 75 (million)
% 0.25/0.43 % (918084)...printing done.
% 0.25/0.43 % (918084)Refutation found. Thanks to Tanya!
% 0.25/0.43 % SZS status Theorem for theBenchmark
% 0.25/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.43 % (918084)------------------------------
% 0.25/0.43 % (918084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.43 % (918084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.43 % (918084)CaDiCaL version: 2.1.3
% 0.25/0.43 % (918084)Termination reason: Refutation
% 0.25/0.43 % (918084)Time elapsed: 0.069 s
% 0.25/0.43 % (918084)Peak memory usage: 13 MB
% 0.25/0.43 % (918084)Instructions burned: 79 (million)
% 0.25/0.43 % (918078)Success in time 0.122 s
% 0.25/0.43 % Vampire exiting
%------------------------------------------------------------------------------