%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT037^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:44:39 AM UTC 2026
% Result : Theorem 0.23s 0.37s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 116 ( 86 unt; 0 typ; 0 def)
% Number of atoms : 524 ( 124 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 816 ( 74 ~; 59 |; 0 &; 609 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 109 ( 109 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 67 usr; 10 con; 0-4 aty)
% ( 54 !!; 10 ??; 0 @@+; 0 @@-)
% Number of variables : 275 ( 186 ^; 87 !; 2 ?; 275 :)
% 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,
vIMP: $o > $o > $o ).
thf(func_def_52,type,
vAND: $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,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_56,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_57,type,
vNOT: $o > $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: mu > $i > mu > $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_64,type,
sK4: $i > $i ).
thf(func_def_65,type,
sK5: $i > $i ).
thf(func_def_66,type,
sK6: $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] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) )
= mimplies ),
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] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f17,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o] : ( mnot @ ( mbox @ X0 @ ( mnot @ X1 ) ) ) )
= mdia ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax',mdia) ).
thf(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,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) )
= mserial ),
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(f32,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(f49,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X0 @ X1 ) ) @ ( possibly_likes @ X0 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_user_communication_5) ).
thf(f50,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(f53,axiom,
mserial @ a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(f55,axiom,
mserial @ a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axioms_D_a3) ).
thf(f73,conjecture,
mvalid @ ( possibly_likes @ jan @ cola ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(f74,negated_conjecture,
~ ( mvalid @ ( possibly_likes @ jan @ cola ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
thf(f77,plain,
~ ( mvalid @ ( possibly_likes @ jan @ cola ) ),
inference(rectify,[],[f74]) ).
thf(f78,plain,
( ( mvalid @ ( possibly_likes @ jan @ cola ) )
!= $true ),
inference(fool_elimination,[],[f77]) ).
thf(f79,plain,
mserial @ a1,
inference(rectify,[],[f53]) ).
thf(f80,plain,
( ( mserial @ a1 )
= $true ),
inference(fool_elimination,[],[f79]) ).
thf(f93,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f94,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f93]) ).
thf(f103,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f17]) ).
thf(f114,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f115,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f114]) ).
thf(f125,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f126,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f125]) ).
thf(f129,plain,
( mbox
= ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ~ ( X0 @ X2 @ X3 )
| ( X1 @ X3 ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f130,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f129]) ).
thf(f137,plain,
msymmetric @ a1,
inference(rectify,[],[f50]) ).
thf(f138,plain,
( ( msymmetric @ a1 )
= $true ),
inference(fool_elimination,[],[f137]) ).
thf(f141,plain,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
inference(rectify,[],[f32]) ).
thf(f142,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(fool_elimination,[],[f141]) ).
thf(f143,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f144,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f145,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f144]) ).
thf(f148,plain,
mserial @ a3,
inference(rectify,[],[f55]) ).
thf(f149,plain,
( ( mserial @ a3 )
= $true ),
inference(fool_elimination,[],[f148]) ).
thf(f156,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] :
( mforall_ind
@ ^ [X1: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ X0 @ X1 ) ) @ ( possibly_likes @ X0 @ X1 ) ) ) ) ),
inference(rectify,[],[f49]) ).
thf(f157,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f156]) ).
thf(f176,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
inference(rectify,[],[f19]) ).
thf(f177,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f176]) ).
thf(f178,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] :
? [X2: $i] : ( X0 @ X1 @ X2 ) )
= mserial ),
inference(rectify,[],[f20]) ).
thf(f179,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f178]) ).
thf(f210,plain,
( ( mvalid @ ( possibly_likes @ jan @ cola ) )
!= $true ),
inference(flattening,[],[f78]) ).
thf(f213,plain,
( ( mvalid @ ( possibly_likes @ jan @ cola ) )
!= $true ),
inference(cnf_transformation,[],[f210]) ).
thf(f216,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f94]) ).
thf(f221,plain,
( ( mserial @ a1 )
= $true ),
inference(cnf_transformation,[],[f80]) ).
thf(f223,plain,
( ( mserial @ a3 )
= $true ),
inference(cnf_transformation,[],[f149]) ).
thf(f224,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f145]) ).
thf(f225,plain,
( mdia
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o] : ( mnot @ ( mbox @ Y0 @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f103]) ).
thf(f227,plain,
( ( msymmetric @ a1 )
= $true ),
inference(cnf_transformation,[],[f138]) ).
thf(f231,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
| ~ ( Y0 @ Y2 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f130]) ).
thf(f236,plain,
( ( mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ) )
= $true ),
inference(cnf_transformation,[],[f142]) ).
thf(f242,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f177]) ).
thf(f243,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] :
( mforall_ind
@ ^ [Y1: mu] : ( mimplies @ ( mdia @ a3 @ ( likes @ Y0 @ Y1 ) ) @ ( possibly_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f157]) ).
thf(f250,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f143]) ).
thf(f263,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f126]) ).
thf(f267,plain,
( mserial
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f179]) ).
thf(f271,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f115]) ).
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,[],[f250,f224,f271]) ).
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,[],[f225,f271,f231,f271]) ).
thf(f295,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( possibly_likes @ jan @ cola ) )
!= $true ),
inference(definition_unfolding,[],[f213,f216]) ).
thf(f299,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ a1 )
= $true ),
inference(definition_unfolding,[],[f221,f267]) ).
thf(f301,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ Y1 @ Y2 ) ) )
@ a3 )
= $true ),
inference(definition_unfolding,[],[f223,f267]) ).
thf(f303,plain,
( ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ a1 )
= $true ),
inference(definition_unfolding,[],[f227,f242]) ).
thf(f308,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 @ jan @ cola ) ) )
= $true ),
inference(definition_unfolding,[],[f236,f216,f231]) ).
thf(f311,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 ) ) )
@ a3
@ ( likes @ Y0 @ Y1 ) )
@ ( possibly_likes @ Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f243,f216,f263,f263,f287,f294]) ).
thf(f344,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( possibly_likes @ Y1 @ Y2 @ Y0 )
| ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f311]) ).
thf(f345,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( !! @ mu
@ ^ [Y2: mu] :
( ( possibly_likes @ Y1 @ Y2 @ Y0 )
| ~ ~ ( !! @ $i
@ ^ [Y3: $i] :
( ~ ( likes @ Y1 @ Y2 @ Y3 )
| ~ ( a3 @ Y0 @ Y3 ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f344]) ).
thf(f346,plain,
! [X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( possibly_likes @ Y0 @ Y1 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f345]) ).
thf(f347,plain,
! [X2: mu,X1: $i] :
( ( ^ [Y0: mu] :
( !! @ mu
@ ^ [Y1: mu] :
( ( possibly_likes @ Y0 @ Y1 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( likes @ Y0 @ Y1 @ Y2 )
| ~ ( a3 @ X1 @ Y2 ) ) ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f346]) ).
thf(f348,plain,
! [X2: mu,X1: $i] :
( ( !! @ mu
@ ^ [Y0: mu] :
( ( possibly_likes @ X2 @ Y0 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f347]) ).
thf(f349,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ^ [Y0: mu] :
( ( possibly_likes @ X2 @ Y0 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( likes @ X2 @ Y0 @ Y1 )
| ~ ( a3 @ X1 @ Y1 ) ) ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f348]) ).
thf(f350,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
| ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f349]) ).
thf(f351,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( $true
= ( ~ ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) ) )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(or_proxy_clausification,[],[f350]) ).
thf(f352,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) ) )
= $false ) ),
inference(not_proxy_clausification,[],[f351]) ).
thf(f353,plain,
! [X2: mu,X3: mu,X1: $i] :
( ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f352]) ).
thf(f354,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( likes @ X2 @ X3 @ Y0 )
| ~ ( a3 @ X1 @ Y0 ) )
@ X4 ) )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(pi_proxy_clausification,[],[f353]) ).
thf(f355,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( likes @ X2 @ X3 @ X4 )
| ~ ( a3 @ X1 @ X4 ) )
= $true )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(beta-eta_normalization,[],[f354]) ).
thf(f356,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( ( ~ ( likes @ X2 @ X3 @ X4 ) )
= $true )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( ~ ( a3 @ X1 @ X4 ) )
= $true ) ),
inference(or_proxy_clausification,[],[f355]) ).
thf(f357,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true )
| ( ( ~ ( a3 @ X1 @ X4 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f356]) ).
thf(f358,plain,
! [X2: mu,X3: mu,X1: $i,X4: $i] :
( ( $false
= ( likes @ X2 @ X3 @ X4 ) )
| ( ( a3 @ X1 @ X4 )
= $false )
| ( ( possibly_likes @ X2 @ X3 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f357]) ).
thf(f590,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a1 @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f303]) ).
thf(f591,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( a1 @ Y1 @ Y0 )
=> ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f590]) ).
thf(f592,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f591]) ).
thf(f593,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( a1 @ Y0 @ X1 )
=> ( a1 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f592]) ).
thf(f594,plain,
! [X2: $i,X1: $i] :
( ( ( a1 @ X2 @ X1 )
=> ( a1 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f593]) ).
thf(f595,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( a1 @ X1 @ X2 ) )
| ( ( a1 @ X2 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f594]) ).
thf(f635,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( a1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f299]) ).
thf(f636,plain,
! [X1: $i] :
( ( ^ [Y0: $i] : ( ?? @ $i @ ( a1 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f635]) ).
thf(f637,plain,
! [X1: $i] :
( ( ?? @ $i @ ( a1 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f636]) ).
thf(f638,plain,
! [X1: $i] :
( ( a1 @ X1 @ ( sK6 @ X1 ) )
= $true ),
inference(sigma_proxy_clausification,[],[f637]) ).
thf(f657,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f308]) ).
thf(f658,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( likes @ jan @ cola @ Y1 )
| ~ ( a1 @ Y0 @ Y1 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f657]) ).
thf(f659,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f658]) ).
thf(f660,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( likes @ jan @ cola @ Y0 )
| ~ ( a1 @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f659]) ).
thf(f661,plain,
! [X2: $i,X1: $i] :
( ( ( likes @ jan @ cola @ X2 )
| ~ ( a1 @ X1 @ X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f660]) ).
thf(f662,plain,
! [X2: $i,X1: $i] :
( ( ( ~ ( a1 @ X1 @ X2 ) )
= $true )
| ( ( likes @ jan @ cola @ X2 )
= $true ) ),
inference(or_proxy_clausification,[],[f661]) ).
thf(f663,plain,
! [X2: $i,X1: $i] :
( ( ( a1 @ X1 @ X2 )
= $false )
| ( ( likes @ jan @ cola @ X2 )
= $true ) ),
inference(not_proxy_clausification,[],[f662]) ).
thf(f671,plain,
( ( !! @ $i @ ( possibly_likes @ jan @ cola ) )
!= $true ),
inference(beta-eta_normalization,[],[f295]) ).
thf(f672,plain,
( ( possibly_likes @ jan @ cola @ sK7 )
= $false ),
inference(sigma_proxy_clausification,[],[f671]) ).
thf(f682,plain,
( ( !! @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( a3 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f301]) ).
thf(f683,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] : ( ?? @ $i @ ( a3 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f682]) ).
thf(f684,plain,
! [X1: $i] :
( ( ?? @ $i @ ( a3 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f683]) ).
thf(f685,plain,
! [X1: $i] :
( $true
= ( a3 @ X1 @ ( sK8 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f684]) ).
thf(f789,plain,
! [X0: $i,X1: $i] :
( ( ( likes @ jan @ cola @ X1 )
= $true )
| ( ( a1 @ X1 @ X0 )
= $false )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f663,f595]) ).
thf(f795,plain,
! [X0: $i,X1: $i] :
( ( ( likes @ jan @ cola @ X1 )
= $true )
| ( ( a1 @ X1 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f789]) ).
thf(f895,plain,
! [X0: $i] :
( ( $true
= ( likes @ jan @ cola @ X0 ) )
| ( $true = $false ) ),
inference(constrained_superposition,[],[f638,f795]) ).
thf(f897,plain,
! [X0: $i] :
( $true
= ( likes @ jan @ cola @ X0 ) ),
inference(trivial_inequality_removal,[],[f895]) ).
thf(f1016,plain,
! [X0: $i] :
( ( ( a3 @ sK7 @ X0 )
= $false )
| ( $true = $false )
| ( ( likes @ jan @ cola @ X0 )
= $false ) ),
inference(constrained_superposition,[],[f672,f358]) ).
thf(f1068,plain,
! [X0: $i] :
( ( ( likes @ jan @ cola @ X0 )
= $false )
| ( ( a3 @ sK7 @ X0 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1016]) ).
thf(f1087,plain,
! [X0: $i] :
( ( $true = $false )
| ( ( a3 @ sK7 @ X0 )
= $false ) ),
inference(forward_demodulation,[],[f1068,f897]) ).
thf(f1088,plain,
! [X0: $i] :
( ( a3 @ sK7 @ X0 )
= $false ),
inference(trivial_inequality_removal,[],[f1087]) ).
thf(f1092,plain,
$true = $false,
inference(constrained_superposition,[],[f1088,f685]) ).
thf(f1110,plain,
$false,
inference(trivial_inequality_removal,[],[f1092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : AGT037^1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n005.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Tue Sep 29 17:30:31 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.28 Running higher-order theorem proving
% 0.23/0.30 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
% 0.23/0.37 % (1967459)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.37 % (1967468)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1071020030:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.37 % (1967470)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.37 % (1967470)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
% 0.23/0.37 % (1967468)Instruction limit reached!
% 0.23/0.37 % (1967468)------------------------------
% 0.23/0.37 % (1967468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967468)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967468)Termination reason: Instruction limit
% 0.23/0.37 % (1967468)Termination phase: Saturation
% 0.23/0.37 % (1967468)Time elapsed: 0.007 s
% 0.23/0.37 % (1967468)Peak memory usage: 11 MB
% 0.23/0.37 % (1967468)Instructions burned: 26 (million)
% 0.23/0.37 % (1967464)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=520709307:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.37 % (1967465)lrs+10_16_si=on:nwc=1.5:random_seed=2910655802:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.37 % (1967469)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=606251026:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.37 % (1967467)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=4116274324: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)
% 0.23/0.37 % (1967470)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=447348704:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.37 % (1967465)Instruction limit reached!
% 0.23/0.37 % (1967465)------------------------------
% 0.23/0.37 % (1967465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967465)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967465)Termination reason: Instruction limit
% 0.23/0.37 % (1967465)Termination phase: Property scanning
% 0.23/0.37 % (1967465)Time elapsed: 0.008 s
% 0.23/0.37 % (1967465)Peak memory usage: 10 MB
% 0.23/0.37 % (1967465)Instructions burned: 18 (million)
% 0.23/0.37 % (1967466)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2046505881:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.37 % (1967466)Instruction limit reached!
% 0.23/0.37 % (1967466)------------------------------
% 0.23/0.37 % (1967466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967466)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967466)Termination reason: Instruction limit
% 0.23/0.37 % (1967466)Termination phase: shuffling
% 0.23/0.37 % (1967466)Time elapsed: 0.002 s
% 0.23/0.37 % (1967466)Peak memory usage: 10 MB
% 0.23/0.37 % (1967466)Instructions burned: 4 (million)
% 0.23/0.37 % (1967477)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2831679845:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.37 % (1967477)Instruction limit reached!
% 0.23/0.37 % (1967477)------------------------------
% 0.23/0.37 % (1967477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967477)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967477)Termination reason: Instruction limit
% 0.23/0.37 % (1967477)Termination phase: Property scanning
% 0.23/0.37 % (1967477)Time elapsed: 0.001 s
% 0.23/0.37 % (1967477)Peak memory usage: 10 MB
% 0.23/0.37 % (1967477)Instructions burned: 5 (million)
% 0.23/0.37 % (1967480)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.37 % (1967478)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=265902991:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.37 % (1967482)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3102423984:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.23/0.37 % (1967480)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=99685734:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.23/0.37 % (1967478)Instruction limit reached!
% 0.23/0.37 % (1967478)------------------------------
% 0.23/0.37 % (1967478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967478)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967478)Termination reason: Instruction limit
% 0.23/0.37 % (1967478)Termination phase: Property scanning
% 0.23/0.37 % (1967478)Time elapsed: 0.003 s
% 0.23/0.37 % (1967478)Peak memory usage: 10 MB
% 0.23/0.37 % (1967478)Instructions burned: 6 (million)
% 0.23/0.37 % (1967482)Instruction limit reached!
% 0.23/0.37 % (1967482)------------------------------
% 0.23/0.37 % (1967482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967482)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967482)Termination reason: Instruction limit
% 0.23/0.37 % (1967482)Termination phase: Property scanning
% 0.23/0.37 % (1967482)Time elapsed: 0.003 s
% 0.23/0.37 % (1967482)Peak memory usage: 11 MB
% 0.23/0.37 % (1967482)Instructions burned: 12 (million)
% 0.23/0.37 % (1967464) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1967459-1967464"...
% 0.23/0.37 % (1967480)Instruction limit reached!
% 0.23/0.37 % (1967480)------------------------------
% 0.23/0.37 % (1967480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967480)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967480)Termination reason: Instruction limit
% 0.23/0.37 % (1967480)Termination phase: Function definition elimination
% 0.23/0.37 % (1967480)Time elapsed: 0.005 s
% 0.23/0.37 % (1967480)Peak memory usage: 10 MB
% 0.23/0.37 % (1967480)Instructions burned: 11 (million)
% 0.23/0.37 % (1967469)Instruction limit reached!
% 0.23/0.37 % (1967469)------------------------------
% 0.23/0.37 % (1967469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967469)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967469)Termination reason: Instruction limit
% 0.23/0.37 % (1967469)Termination phase: Saturation
% 0.23/0.37 % (1967469)Time elapsed: 0.035 s
% 0.23/0.37 % (1967469)Peak memory usage: 12 MB
% 0.23/0.37 % (1967469)Instructions burned: 75 (million)
% 0.23/0.37 % (1967464)...printing done.
% 0.23/0.37 % (1967464)Refutation found. Thanks to Tanya!
% 0.23/0.37 % SZS status Theorem for theBenchmark
% 0.23/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.37 % (1967464)------------------------------
% 0.23/0.37 % (1967464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.37 % (1967464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.37 % (1967464)CaDiCaL version: 2.1.3
% 0.23/0.37 % (1967464)Termination reason: Refutation
% 0.23/0.37 % (1967464)Time elapsed: 0.038 s
% 0.23/0.37 % (1967464)Peak memory usage: 13 MB
% 0.23/0.37 % (1967464)Instructions burned: 79 (million)
% 0.23/0.37 % (1967459)Success in time 0.065 s
% 0.23/0.37 % Vampire exiting
%------------------------------------------------------------------------------