%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : AGT029^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 07:44:37 AM UTC 2026
% Result : Theorem 2.11s 0.62s
% Output : Refutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 12
% Syntax : Number of formulae : 112 ( 74 unt; 0 typ; 0 def)
% Number of atoms : 630 ( 156 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 965 ( 99 ~; 116 |; 0 &; 681 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 143 ( 143 >; 0 *; 0 +; 0 <<)
% Number of symbols : 75 ( 71 usr; 8 con; 0-4 aty)
% ( 69 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 322 ( 219 ^; 103 !; 0 ?; 322 :)
% 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,
r1: $i > $i > $o ).
thf(func_def_33,type,
r2: $i > $i > $o ).
thf(func_def_34,type,
r3: $i > $i > $o ).
thf(func_def_35,type,
r4: $i > $i > $o ).
thf(func_def_36,type,
r5: $i > $i > $o ).
thf(func_def_37,type,
john: mu ).
thf(func_def_38,type,
tom: mu ).
thf(func_def_39,type,
peter: mu ).
thf(func_def_40,type,
mike: mu ).
thf(func_def_41,type,
good_in_maths: mu > $i > $o ).
thf(func_def_42,type,
maths_teacher: mu > $i > $o ).
thf(func_def_43,type,
mathematician: mu > $i > $o ).
thf(func_def_44,type,
maths_student: mu > $i > $o ).
thf(func_def_45,type,
good_in_physics: mu > $i > $o ).
thf(func_def_46,type,
physics_student: mu > $i > $o ).
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_51,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_53,type,
vOR: $o > $o > $o ).
thf(func_def_54,type,
vNOT: $o > $o ).
thf(func_def_55,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_56,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_57,type,
vIMP: $o > $o > $o ).
thf(func_def_58,type,
vAND: $o > $o > $o ).
thf(func_def_59,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_60,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_61,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
sK1: mu > $i ).
thf(func_def_64,type,
sK2: $i > ( $i > $o ) > $i ).
thf(func_def_65,type,
sK3: $i > ( $i > $o ) > $i ).
thf(func_def_66,type,
sK4: $i > ( $i > $o ) > $i ).
thf(func_def_67,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_68,type,
sK6: $i > ( $i > $o ) > $i ).
thf(func_def_69,type,
sK7: $i > ( $i > $o ) > $i ).
thf(func_def_70,type,
sK8: $i > ( $i > $o ) > $i ).
thf(func_def_71,type,
sK9: $i > ( $i > $o ) > $i ).
thf(func_def_72,type,
sK10: $i > ( $i > $o ) > $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,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
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(f11,axiom,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_prop) ).
thf(f12,axiom,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mexists_ind) ).
thf(f16,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mimplies @ ( maths_teacher @ X0 ) @ ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r1) ).
thf(f49,axiom,
mvalid @ ( maths_teacher @ john ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a6) ).
thf(f63,axiom,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ r4 @ X0 ) @ ( mbox @ r2 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_for_r4_r2) ).
thf(f98,conjecture,
( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r2 @ ( good_in_maths @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f99,negated_conjecture,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r2 @ ( good_in_maths @ X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f98]) ).
thf(f103,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X1 @ X3 )
| ~ ( X0 @ X2 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f16]) ).
thf(f104,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f103]) ).
thf(f132,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f133,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f132]) ).
thf(f154,plain,
~ ( mvalid
@ ( mexists_ind
@ ^ [X0: mu] : ( mbox @ r2 @ ( good_in_maths @ X0 ) ) ) ),
inference(rectify,[],[f99]) ).
thf(f155,plain,
( $true
= ( ~ ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ r2 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f154]) ).
thf(f169,plain,
( ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] : ( X0 @ X2 @ X1 ) )
= mforall_ind ),
inference(rectify,[],[f10]) ).
thf(f170,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f169]) ).
thf(f173,plain,
( mvalid
@ ( mforall_ind
@ ^ [X0: mu] : ( mimplies @ ( maths_teacher @ X0 ) @ ( mbox @ r4 @ ( good_in_maths @ X0 ) ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f174,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mimplies @ ( maths_teacher @ Y0 ) @ ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f173]) ).
thf(f179,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f180,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f179]) ).
thf(f191,plain,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
inference(rectify,[],[f12]) ).
thf(f192,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f191]) ).
thf(f204,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f219,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f220,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f219]) ).
thf(f252,plain,
( mvalid
@ ( mforall_prop
@ ^ [X0: $i > $o] : ( mimplies @ ( mbox @ r4 @ X0 ) @ ( mbox @ r2 @ X0 ) ) ) ),
inference(rectify,[],[f63]) ).
thf(f253,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ r4 @ Y0 ) @ ( mbox @ r2 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f252]) ).
thf(f254,plain,
mvalid @ ( maths_teacher @ john ),
inference(rectify,[],[f49]) ).
thf(f255,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(fool_elimination,[],[f254]) ).
thf(f275,plain,
( mforall_prop
= ( ^ [X0: ( $i > $o ) > $i > $o,X1: $i] :
! [X2: $i > $o] : ( X0 @ X2 @ X1 ) ) ),
inference(rectify,[],[f11]) ).
thf(f276,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f275]) ).
thf(f290,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f204]) ).
thf(f291,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f133]) ).
thf(f296,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( Y0 @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f104]) ).
thf(f304,plain,
( $true
= ( mvalid
@ ( mforall_prop
@ ^ [Y0: $i > $o] : ( mimplies @ ( mbox @ r4 @ Y0 ) @ ( mbox @ r2 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f253]) ).
thf(f308,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f170]) ).
thf(f311,plain,
( $true
= ( mvalid
@ ( mforall_ind
@ ^ [Y0: mu] : ( mimplies @ ( maths_teacher @ Y0 ) @ ( mbox @ r4 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f174]) ).
thf(f313,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f220]) ).
thf(f325,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f192]) ).
thf(f328,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f180]) ).
thf(f355,plain,
( mforall_prop
= ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f276]) ).
thf(f367,plain,
( $true
= ( ~ ( mvalid
@ ( mexists_ind
@ ^ [Y0: mu] : ( mbox @ r2 @ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f155]) ).
thf(f374,plain,
( ( mvalid @ ( maths_teacher @ john ) )
= $true ),
inference(cnf_transformation,[],[f255]) ).
thf(f387,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,[],[f290,f291,f328]) ).
thf(f391,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f325,f328,f308,f328]) ).
thf(f406,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: ( $i > $o ) > $i > $o,Y1: $i] :
( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] : ( Y0 @ Y2 @ Y1 ) )
@ ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r4
@ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r2
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f304,f313,f355,f387,f296,f296]) ).
thf(f410,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: $i > $o,Y2: $i > $o] :
( ^ [Y3: $i > $o,Y4: $i > $o,Y5: $i] :
( ( Y4 @ Y5 )
| ( Y3 @ Y5 ) )
@ ( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ Y1 )
@ Y2 )
@ ( maths_teacher @ Y0 )
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r4
@ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f311,f313,f308,f387,f296]) ).
thf(f449,plain,
( $true
= ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] : ( Y1 @ Y3 @ Y2 ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ~ ( Y1 @ Y3 @ Y4 )
| ( Y2 @ Y4 ) ) )
@ r2
@ ( good_in_maths @ Y0 ) ) ) ) ) ),
inference(definition_unfolding,[],[f367,f313,f391,f296]) ).
thf(f456,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( maths_teacher @ john ) )
= $true ),
inference(definition_unfolding,[],[f374,f313]) ).
thf(f464,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) )
| ~ ( maths_teacher @ Y1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f410]) ).
thf(f468,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f406]) ).
thf(f497,plain,
( $true
= ( !! @ $i @ ( maths_teacher @ john ) ) ),
inference(beta-eta_normalization,[],[f456]) ).
thf(f507,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f449]) ).
thf(f534,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f507]) ).
thf(f535,plain,
( $false
= ( ^ [Y0: $i] :
~ ( !! @ mu
@ ^ [Y1: mu] :
~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f534]) ).
thf(f536,plain,
( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ sK0 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f535]) ).
thf(f537,plain,
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ sK0 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) ) ) ),
inference(not_proxy_clausification,[],[f536]) ).
thf(f538,plain,
! [X1: mu] :
( $true
= ( ^ [Y0: mu] :
~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ sK0 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f537]) ).
thf(f539,plain,
! [X1: mu] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ sK0 @ Y0 )
| ( good_in_maths @ X1 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f538]) ).
thf(f540,plain,
! [X1: mu] :
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ sK0 @ Y0 )
| ( good_in_maths @ X1 @ Y0 ) ) ) ),
inference(not_proxy_clausification,[],[f539]) ).
thf(f541,plain,
! [X1: mu] :
( $false
= ( ^ [Y0: $i] :
( ~ ( r2 @ sK0 @ Y0 )
| ( good_in_maths @ X1 @ Y0 ) )
@ ( sK1 @ X1 ) ) ),
inference(sigma_proxy_clausification,[],[f540]) ).
thf(f542,plain,
! [X1: mu] :
( ( ~ ( r2 @ sK0 @ ( sK1 @ X1 ) )
| ( good_in_maths @ X1 @ ( sK1 @ X1 ) ) )
= $false ),
inference(beta-eta_normalization,[],[f541]) ).
thf(f543,plain,
! [X1: mu] :
( $false
= ( good_in_maths @ X1 @ ( sK1 @ X1 ) ) ),
inference(or_proxy_clausification,[],[f542]) ).
thf(f544,plain,
! [X1: mu] :
( $false
= ( ~ ( r2 @ sK0 @ ( sK1 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f542]) ).
thf(f545,plain,
! [X1: mu] :
( $true
= ( r2 @ sK0 @ ( sK1 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f544]) ).
thf(f559,plain,
! [X1: $i] :
( $true
= ( maths_teacher @ john @ X1 ) ),
inference(pi_proxy_clausification,[],[f497]) ).
thf(f578,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ mu
@ ^ [Y1: mu] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( good_in_maths @ Y1 @ Y2 ) ) )
| ~ ( maths_teacher @ Y1 @ Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f464]) ).
thf(f579,plain,
! [X1: $i] :
( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) )
| ~ ( maths_teacher @ Y0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f578]) ).
thf(f580,plain,
! [X2: mu,X1: $i] :
( $true
= ( ^ [Y0: mu] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( good_in_maths @ Y0 @ Y1 ) ) )
| ~ ( maths_teacher @ Y0 @ X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f579]) ).
thf(f581,plain,
! [X2: mu,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) ) )
| ~ ( maths_teacher @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f580]) ).
thf(f582,plain,
! [X2: mu,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) ) ) )
| ( $true
= ( ~ ( maths_teacher @ X2 @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f581]) ).
thf(f583,plain,
! [X2: mu,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) ) ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f582]) ).
thf(f584,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( good_in_maths @ X2 @ Y0 ) )
@ X3 ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(pi_proxy_clausification,[],[f583]) ).
thf(f585,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r4 @ X1 @ X3 )
| ( good_in_maths @ X2 @ X3 ) ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f584]) ).
thf(f586,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $false
= ( maths_teacher @ X2 @ X1 ) )
| ( $true
= ( good_in_maths @ X2 @ X3 ) )
| ( $true
= ( ~ ( r4 @ X1 @ X3 ) ) ) ),
inference(or_proxy_clausification,[],[f585]) ).
thf(f587,plain,
! [X2: mu,X3: $i,X1: $i] :
( ( $true
= ( good_in_maths @ X2 @ X3 ) )
| ( $false
= ( r4 @ X1 @ X3 ) )
| ( $false
= ( maths_teacher @ X2 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f586]) ).
thf(f588,plain,
! [X0: mu,X1: $i] :
( ( $true = $false )
| ( $false
= ( maths_teacher @ X0 @ X1 ) )
| ( $false
= ( r4 @ X1 @ ( sK1 @ X0 ) ) ) ),
inference(superposition,[],[f587,f543]) ).
thf(f590,plain,
! [X0: mu,X1: $i] :
( ( $false
= ( r4 @ X1 @ ( sK1 @ X0 ) ) )
| ( $false
= ( maths_teacher @ X0 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f588]) ).
thf(f645,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r2 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( r4 @ Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f468]) ).
thf(f646,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f645]) ).
thf(f647,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r2 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( r4 @ X1 @ Y1 )
| ( Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f646]) ).
thf(f648,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f647]) ).
thf(f649,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f648]) ).
thf(f650,plain,
! [X2: $i > $o,X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f649]) ).
thf(f657,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( r2 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f650]) ).
thf(f658,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( ~ ( r2 @ X1 @ X3 )
| ( X2 @ X3 ) )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f657]) ).
thf(f659,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( ~ ( r2 @ X1 @ X3 ) ) )
| ( $true
= ( X2 @ X3 ) )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) ) ),
inference(or_proxy_clausification,[],[f658]) ).
thf(f660,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) ) ) )
| ( ( r2 @ X1 @ X3 )
= $false )
| ( $true
= ( X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f659]) ).
thf(f661,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ~ ( r4 @ X1 @ Y0 )
| ( X2 @ Y0 ) )
@ ( sK3 @ X1 @ X2 ) ) )
| ( ( r2 @ X1 @ X3 )
= $false )
| ( $true
= ( X2 @ X3 ) ) ),
inference(sigma_proxy_clausification,[],[f660]) ).
thf(f663,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( X2 @ X3 ) )
| ( ( r2 @ X1 @ X3 )
= $false )
| ( ( ~ ( r4 @ X1 @ ( sK3 @ X1 @ X2 ) )
| ( X2 @ ( sK3 @ X1 @ X2 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f661]) ).
thf(f665,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $false
= ( X2 @ ( sK3 @ X1 @ X2 ) ) )
| ( $true
= ( X2 @ X3 ) )
| ( ( r2 @ X1 @ X3 )
= $false ) ),
inference(or_proxy_clausification,[],[f663]) ).
thf(f666,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( X2 @ X3 ) )
| ( ( r2 @ X1 @ X3 )
= $false )
| ( $false
= ( ~ ( r4 @ X1 @ ( sK3 @ X1 @ X2 ) ) ) ) ),
inference(or_proxy_clausification,[],[f663]) ).
thf(f667,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( r4 @ X1 @ ( sK3 @ X1 @ X2 ) ) )
| ( ( r2 @ X1 @ X3 )
= $false )
| ( $true
= ( X2 @ X3 ) ) ),
inference(not_proxy_clausification,[],[f666]) ).
thf(f668,plain,
! [X0: $i,X1: $i] :
( ( ( sK3 @ X0
@ ^ [Y0: $i] : ( Y0 != X1 ) )
= X1 )
| ( ( r2 @ X0 @ X1 )
= $false ) ),
inference(leibniz_equality_elimination,[],[f665]) ).
thf(f1391,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( r2 @ X1 @ X0 ) )
| ( ( r4 @ X1 @ X0 )
= $true )
| ( $false
= ( r2 @ X1 @ X2 ) )
| ( $true
= ( ^ [Y0: $i] : ( Y0 != X0 )
@ X2 ) ) ),
inference(superposition,[],[f667,f668]) ).
thf(f1403,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r4 @ X1 @ X0 )
= $true )
| ( $false
= ( r2 @ X1 @ X2 ) )
| ( $true
= ( X2 != X0 ) )
| ( $false
= ( r2 @ X1 @ X0 ) ) ),
inference(beta-eta_normalization,[],[f1391]) ).
thf(f1406,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( r2 @ X1 @ X2 ) )
| ( ( X2 = X0 )
= $false )
| ( ( r4 @ X1 @ X0 )
= $true )
| ( $false
= ( r2 @ X1 @ X0 ) ) ),
inference(not_proxy_clausification,[],[f1403]) ).
thf(f1409,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( r2 @ X1 @ X2 ) )
| ( ( r4 @ X1 @ X0 )
= $true )
| ( $false
= ( r2 @ X1 @ X0 ) )
| ( X0 != X2 ) ),
inference(equality_proxy_clausification,[],[f1406]) ).
thf(f1462,plain,
! [X0: mu,X1: $i] :
( ( $true = $false )
| ( ( sK1 @ X0 )
!= X1 )
| ( $false
= ( r2 @ sK0 @ X1 ) )
| ( $true
= ( r4 @ sK0 @ X1 ) ) ),
inference(superposition,[],[f545,f1409]) ).
thf(f1467,plain,
! [X0: mu,X1: $i] :
( ( ( sK1 @ X0 )
!= X1 )
| ( $false
= ( r2 @ sK0 @ X1 ) )
| ( $true
= ( r4 @ sK0 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1462]) ).
thf(f1474,plain,
! [X0: mu] :
( ( $true
= ( r4 @ sK0 @ ( sK1 @ X0 ) ) )
| ( $false
= ( r2 @ sK0 @ ( sK1 @ X0 ) ) ) ),
inference(equality_resolution,[],[f1467]) ).
thf(f1475,plain,
! [X0: mu] :
( ( $true = $false )
| ( $true
= ( r4 @ sK0 @ ( sK1 @ X0 ) ) ) ),
inference(forward_demodulation,[],[f1474,f545]) ).
thf(f1476,plain,
! [X0: mu] :
( $true
= ( r4 @ sK0 @ ( sK1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f1475]) ).
thf(f1485,plain,
! [X0: mu] :
( ( $true = $false )
| ( ( maths_teacher @ X0 @ sK0 )
= $false ) ),
inference(superposition,[],[f590,f1476]) ).
thf(f1486,plain,
! [X0: mu] :
( ( maths_teacher @ X0 @ sK0 )
= $false ),
inference(trivial_inequality_removal,[],[f1485]) ).
thf(f1490,plain,
$true = $false,
inference(superposition,[],[f559,f1486]) ).
thf(f1492,plain,
$false,
inference(trivial_inequality_removal,[],[f1490]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : AGT029^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:25:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 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
% 0.73/0.38 % (637938)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.73/0.38 % (637945)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2178856197:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.73/0.38 % (637945)Instruction limit reached!
% 0.73/0.38 % (637945)------------------------------
% 0.73/0.38 % (637945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (637945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (637945)CaDiCaL version: 2.1.3
% 0.73/0.38 % (637945)Termination reason: Instruction limit
% 0.73/0.38 % (637945)Termination phase: shuffling
% 0.73/0.38 % (637945)Time elapsed: 0.001 s
% 0.73/0.38 % (637945)Peak memory usage: 10 MB
% 0.73/0.38 % (637945)Instructions burned: 7 (million)
% 0.73/0.38 % (637949)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.73/0.38 % (637949)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
% 0.73/0.38 % (637943)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=232740760:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.73/0.38 % (637944)lrs+10_16_si=on:nwc=1.5:random_seed=2154021526:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.73/0.38 % (637946)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=180635514: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)
% 0.73/0.38 % (637947)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=694896245:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.73/0.38 % (637948)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3758091778:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.73/0.38 % (637949)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=539292404:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.73/0.38 % (637951)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1005709656:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.38 % (637944)Instruction limit reached!
% 0.73/0.38 % (637944)------------------------------
% 0.73/0.38 % (637944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (637944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (637944)CaDiCaL version: 2.1.3
% 0.73/0.38 % (637944)Termination reason: Instruction limit
% 0.73/0.38 % (637944)Termination phase: Property scanning
% 0.73/0.38 % (637944)Time elapsed: 0.008 s
% 0.73/0.38 % (637944)Peak memory usage: 10 MB
% 0.73/0.38 % (637944)Instructions burned: 19 (million)
% 0.73/0.38 % (637951)Instruction limit reached!
% 0.73/0.38 % (637951)------------------------------
% 0.73/0.38 % (637951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (637951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (637951)CaDiCaL version: 2.1.3
% 0.73/0.38 % (637951)Termination reason: Instruction limit
% 0.73/0.38 % (637951)Termination phase: Property scanning
% 0.73/0.38 % (637951)Time elapsed: 0.004 s
% 0.73/0.38 % (637951)Peak memory usage: 10 MB
% 0.73/0.38 % (637951)Instructions burned: 17 (million)
% 0.73/0.38 % (637947)Instruction limit reached!
% 0.73/0.38 % (637947)------------------------------
% 0.73/0.38 % (637947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.38 % (637947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.38 % (637947)CaDiCaL version: 2.1.3
% 0.73/0.38 % (637947)Termination reason: Instruction limit
% 0.73/0.38 % (637947)Termination phase: Saturation
% 0.73/0.38 % (637947)Time elapsed: 0.011 s
% 0.73/0.38 % (637947)Peak memory usage: 12 MB
% 0.73/0.38 % (637947)Instructions burned: 25 (million)
% 0.73/0.38 % (637960)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.38 % (637960)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2081521006:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.42 % (637960)Instruction limit reached!
% 0.73/0.42 % (637960)------------------------------
% 0.73/0.42 % (637960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (637960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (637960)CaDiCaL version: 2.1.3
% 0.73/0.42 % (637960)Termination reason: Instruction limit
% 0.73/0.42 % (637960)Termination phase: Property scanning
% 0.73/0.42 % (637960)Time elapsed: 0.002 s
% 0.73/0.42 % (637960)Peak memory usage: 10 MB
% 0.73/0.42 % (637960)Instructions burned: 10 (million)
% 0.73/0.42 % (637959)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1595839498:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.73/0.42 % (637959)Instruction limit reached!
% 0.73/0.42 % (637959)------------------------------
% 0.73/0.42 % (637959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (637959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (637959)CaDiCaL version: 2.1.3
% 0.73/0.42 % (637959)Termination reason: Instruction limit
% 0.73/0.42 % (637959)Termination phase: shuffling
% 0.73/0.42 % (637959)Time elapsed: 0.002 s
% 0.73/0.42 % (637959)Peak memory usage: 10 MB
% 0.73/0.42 % (637959)Instructions burned: 5 (million)
% 0.73/0.42 % (637961)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3226651614:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.42 % (637948)Instruction limit reached!
% 0.73/0.42 % (637948)------------------------------
% 0.73/0.42 % (637948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (637948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (637948)CaDiCaL version: 2.1.3
% 0.73/0.42 % (637948)Termination reason: Instruction limit
% 0.73/0.42 % (637948)Termination phase: Saturation
% 0.73/0.42 % (637948)Time elapsed: 0.031 s
% 0.73/0.42 % (637948)Peak memory usage: 12 MB
% 0.73/0.42 % (637948)Instructions burned: 75 (million)
% 0.73/0.42 % (637963)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
% 0.73/0.42 % (637963)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.73/0.42 % (637963)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4027169633:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.42 % (637961)Instruction limit reached!
% 0.73/0.42 % (637961)------------------------------
% 0.73/0.42 % (637961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (637961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (637961)CaDiCaL version: 2.1.3
% 0.73/0.42 % (637961)Termination reason: Instruction limit
% 0.73/0.42 % (637961)Termination phase: Property scanning
% 0.73/0.42 % (637961)Time elapsed: 0.006 s
% 0.73/0.42 % (637961)Peak memory usage: 10 MB
% 0.73/0.42 % (637961)Instructions burned: 14 (million)
% 0.73/0.42 % (637963)Instruction limit reached!
% 0.73/0.42 % (637963)------------------------------
% 0.73/0.42 % (637963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (637963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (637963)CaDiCaL version: 2.1.3
% 0.73/0.42 % (637963)Termination reason: Instruction limit
% 0.73/0.42 % (637963)Termination phase: Property scanning
% 0.73/0.42 % (637963)Time elapsed: 0.007 s
% 0.73/0.42 % (637963)Peak memory usage: 11 MB
% 0.73/0.42 % (637963)Instructions burned: 33 (million)
% 0.73/0.42 % (637943)Instruction limit reached!
% 0.73/0.42 % (637943)------------------------------
% 0.73/0.42 % (637943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.42 % (637943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.42 % (637943)CaDiCaL version: 2.1.3
% 0.73/0.42 % (637943)Termination reason: Instruction limit
% 0.73/0.42 % (637943)Termination phase: Saturation
% 0.73/0.42 % (637943)Time elapsed: 0.048 s
% 0.73/0.42 % (637943)Peak memory usage: 12 MB
% 0.73/0.43 % (637943)Instructions burned: 88 (million)
% 0.73/0.43 % (637966)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=2631884303:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.43 % (637967)lrs+10_1_si=on:cs=on:random_seed=3260686054:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.43 % (637970)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3437352791:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.43 % (637969)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.43 % (637967)Instruction limit reached!
% 0.73/0.43 % (637967)------------------------------
% 0.73/0.43 % (637967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (637967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (637967)CaDiCaL version: 2.1.3
% 0.73/0.43 % (637967)Termination reason: Instruction limit
% 0.73/0.43 % (637967)Termination phase: shuffling
% 0.73/0.43 % (637967)Time elapsed: 0.004 s
% 0.73/0.43 % (637967)Peak memory usage: 10 MB
% 0.73/0.43 % (637967)Instructions burned: 9 (million)
% 0.73/0.43 % (637970)Refutation not found, incomplete strategy
% 0.73/0.43 % (637970)------------------------------
% 0.73/0.43 % (637970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (637970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (637970)CaDiCaL version: 2.1.3
% 0.73/0.43 % (637970)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.43 % (637970)Time elapsed: 0.007 s
% 0.73/0.43 % (637970)Peak memory usage: 12 MB
% 0.73/0.43 % (637970)Instructions burned: 30 (million)
% 0.73/0.43 % (637970)------------------------------
% 0.73/0.43 % (637970)------------------------------
% 0.73/0.43 % (637969)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1557824737:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.43 % (637969)Instruction limit reached!
% 0.73/0.43 % (637969)------------------------------
% 0.73/0.43 % (637969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (637969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (637969)CaDiCaL version: 2.1.3
% 0.73/0.43 % (637969)Termination reason: Instruction limit
% 0.73/0.43 % (637969)Termination phase: shuffling
% 0.73/0.43 % (637969)Time elapsed: 0.001 s
% 0.73/0.43 % (637969)Peak memory usage: 10 MB
% 0.73/0.43 % (637969)Instructions burned: 2 (million)
% 0.73/0.43 % (637949)Instruction limit reached!
% 0.73/0.43 % (637949)------------------------------
% 0.73/0.43 % (637949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (637949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (637949)CaDiCaL version: 2.1.3
% 0.73/0.43 % (637949)Termination reason: Instruction limit
% 0.73/0.43 % (637949)Termination phase: Saturation
% 0.73/0.43 % (637949)Time elapsed: 0.072 s
% 0.73/0.43 % (637976)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2336875359:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.73/0.43 % (637949)Peak memory usage: 13 MB
% 0.73/0.43 % (637949)Instructions burned: 158 (million)
% 0.73/0.43 % (637975)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2073049454:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.73/0.43 % (637976)Instruction limit reached!
% 0.73/0.43 % (637976)------------------------------
% 0.73/0.43 % (637976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.43 % (637976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.43 % (637976)CaDiCaL version: 2.1.3
% 0.73/0.43 % (637976)Termination reason: Instruction limit
% 0.73/0.43 % (637976)Termination phase: Property scanning
% 0.73/0.43 % (637976)Time elapsed: 0.004 s
% 0.73/0.43 % (637976)Peak memory usage: 10 MB
% 0.73/0.43 % (637976)Instructions burned: 18 (million)
% 0.73/0.43 % (637971)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4234875573:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.41/0.48 % (637978)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3412351735:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.41/0.48 % (637966)Instruction limit reached!
% 1.41/0.48 % (637966)------------------------------
% 1.41/0.48 % (637966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.48 % (637966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.48 % (637966)CaDiCaL version: 2.1.3
% 1.41/0.48 % (637966)Termination reason: Instruction limit
% 1.41/0.48 % (637966)Termination phase: Saturation
% 1.41/0.48 % (637966)Time elapsed: 0.036 s
% 1.41/0.48 % (637966)Peak memory usage: 12 MB
% 1.41/0.48 % (637966)Instructions burned: 88 (million)
% 1.41/0.48 % (637975)Instruction limit reached!
% 1.41/0.48 % (637975)------------------------------
% 1.41/0.48 % (637975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.48 % (637975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.48 % (637975)CaDiCaL version: 2.1.3
% 1.41/0.48 % (637975)Termination reason: Instruction limit
% 1.41/0.48 % (637975)Termination phase: Saturation
% 1.41/0.48 % (637975)Time elapsed: 0.011 s
% 1.41/0.48 % (637975)Peak memory usage: 11 MB
% 1.41/0.48 % (637975)Instructions burned: 26 (million)
% 1.41/0.48 % (637982)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1259279934:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.41/0.48 % (637982)Instruction limit reached!
% 1.41/0.48 % (637982)------------------------------
% 1.41/0.48 % (637982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.48 % (637982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.48 % (637982)CaDiCaL version: 2.1.3
% 1.41/0.48 % (637982)Termination reason: Instruction limit
% 1.41/0.48 % (637982)Termination phase: shuffling
% 1.41/0.48 % (637982)Time elapsed: 0.001 s
% 1.41/0.48 % (637982)Peak memory usage: 10 MB
% 1.41/0.48 % (637982)Instructions burned: 4 (million)
% 1.41/0.48 % (637980)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2526752135:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.41/0.48 % (637980)Instruction limit reached!
% 1.41/0.48 % (637980)------------------------------
% 1.41/0.48 % (637980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.48 % (637980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.48 % (637980)CaDiCaL version: 2.1.3
% 1.41/0.48 % (637980)Termination reason: Instruction limit
% 1.41/0.48 % (637980)Termination phase: Property scanning
% 1.41/0.48 % (637980)Time elapsed: 0.006 s
% 1.41/0.48 % (637980)Peak memory usage: 10 MB
% 1.41/0.48 % (637980)Instructions burned: 15 (million)
% 1.41/0.48 % (637988)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2977301700:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.41/0.48 % (637971)Refutation not found, incomplete strategy
% 1.41/0.48 % (637971)------------------------------
% 1.41/0.48 % (637971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.48 % (637971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.48 % (637971)CaDiCaL version: 2.1.3
% 1.41/0.48 % (637971)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.48 % (637971)Time elapsed: 0.018 s
% 1.41/0.48 % (637971)Peak memory usage: 12 MB
% 1.41/0.48 % (637971)Instructions burned: 23 (million)
% 1.41/0.48 % (637971)------------------------------
% 1.41/0.48 % (637971)------------------------------
% 1.41/0.48 % (637985)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=792461293:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.41/0.48 % (637986)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2225256095:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.41/0.48 % (637991)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.41/0.48 % (637991)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.41/0.48 % (637988)Instruction limit reached!
% 1.41/0.51 % (637988)------------------------------
% 1.41/0.51 % (637988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (637988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (637988)CaDiCaL version: 2.1.3
% 1.41/0.51 % (637988)Termination reason: Instruction limit
% 1.41/0.51 % (637988)Termination phase: Saturation
% 1.41/0.51 % (637988)Time elapsed: 0.015 s
% 1.41/0.51 % (637988)Peak memory usage: 12 MB
% 1.41/0.51 % (637988)Instructions burned: 61 (million)
% 1.41/0.51 % (637985)Instruction limit reached!
% 1.41/0.51 % (637985)------------------------------
% 1.41/0.51 % (637985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (637985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (637985)CaDiCaL version: 2.1.3
% 1.41/0.51 % (637985)Termination reason: Instruction limit
% 1.41/0.51 % (637985)Termination phase: Property scanning
% 1.41/0.51 % (637985)Time elapsed: 0.010 s
% 1.41/0.51 % (637985)Peak memory usage: 10 MB
% 1.41/0.51 % (637985)Instructions burned: 26 (million)
% 1.41/0.51 % (637986)Instruction limit reached!
% 1.41/0.51 % (637986)------------------------------
% 1.41/0.51 % (637986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (637986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (637986)CaDiCaL version: 2.1.3
% 1.41/0.51 % (637986)Termination reason: Instruction limit
% 1.41/0.51 % (637986)Termination phase: Function definition elimination
% 1.41/0.51 % (637986)Time elapsed: 0.010 s
% 1.41/0.51 % (637986)Peak memory usage: 10 MB
% 1.41/0.51 % (637986)Instructions burned: 25 (million)
% 1.41/0.51 % (637991)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=545910123:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.41/0.51 % (637978)Refutation not found, incomplete strategy
% 1.41/0.51 % (637978)------------------------------
% 1.41/0.51 % (637978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (637978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (637978)CaDiCaL version: 2.1.3
% 1.41/0.51 % (637978)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.51 % (637978)Time elapsed: 0.035 s
% 1.41/0.51 % (637978)Peak memory usage: 13 MB
% 1.41/0.51 % (637978)Instructions burned: 76 (million)
% 1.41/0.51 % (637978)------------------------------
% 1.41/0.51 % (637978)------------------------------
% 1.41/0.51 % (637992)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.41/0.51 % (637991)Instruction limit reached!
% 1.41/0.51 % (637991)------------------------------
% 1.41/0.51 % (637991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (637991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (637991)CaDiCaL version: 2.1.3
% 1.41/0.51 % (637991)Termination reason: Instruction limit
% 1.41/0.51 % (637991)Termination phase: Property scanning
% 1.41/0.51 % (637991)Time elapsed: 0.006 s
% 1.41/0.51 % (637991)Peak memory usage: 10 MB
% 1.41/0.51 % (637991)Instructions burned: 15 (million)
% 1.41/0.51 % (637992)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3017143024:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.41/0.51 % (637996)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2875505203:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.41/0.51 % (637996)Instruction limit reached!
% 1.41/0.51 % (637996)------------------------------
% 1.41/0.51 % (637996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (637992)Instruction limit reached!
% 1.41/0.51 % (637992)------------------------------
% 1.41/0.51 % (637992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.51 % (637996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.51 % (637996)CaDiCaL version: 2.1.3
% 1.41/0.51 % (637996)Termination reason: Instruction limit
% 1.41/0.51 % (637996)Termination phase: shuffling
% 1.41/0.51 % (637996)Time elapsed: 0.002 s
% 1.41/0.51 % (637992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.55 % (637996)Peak memory usage: 10 MB
% 1.41/0.55 % (637996)Instructions burned: 8 (million)
% 1.41/0.55 % (637992)CaDiCaL version: 2.1.3
% 1.41/0.55 % (637992)Termination reason: Instruction limit
% 1.41/0.55 % (637992)Termination phase: shuffling
% 1.41/0.55 % (637992)Time elapsed: 0.003 s
% 1.41/0.55 % (637992)Peak memory usage: 10 MB
% 1.41/0.55 % (637992)Instructions burned: 10 (million)
% 1.41/0.55 % (637995)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=605122310:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.41/0.55 % (637998)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2939428950:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.41/0.55 % (637999)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3609497581:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.41/0.55 % (638003)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3094600636:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.41/0.55 % (637998)Instruction limit reached!
% 1.41/0.55 % (637998)------------------------------
% 1.41/0.55 % (637998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.55 % (637999)Instruction limit reached!
% 1.41/0.55 % (637999)------------------------------
% 1.41/0.55 % (637999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.55 % (637999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.55 % (637998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.55 % (637999)CaDiCaL version: 2.1.3
% 1.41/0.55 % (637998)CaDiCaL version: 2.1.3
% 1.41/0.55 % (637999)Termination reason: Instruction limit
% 1.41/0.55 % (637999)Termination phase: Property scanning
% 1.41/0.55 % (637998)Termination reason: Instruction limit
% 1.41/0.55 % (637998)Termination phase: Function definition elimination
% 1.41/0.55 % (637999)Time elapsed: 0.009 s
% 1.41/0.55 % (637998)Time elapsed: 0.009 s
% 1.41/0.55 % (637999)Peak memory usage: 10 MB
% 1.41/0.55 % (637998)Peak memory usage: 10 MB
% 1.41/0.55 % (637999)Instructions burned: 20 (million)
% 1.41/0.55 % (637998)Instructions burned: 23 (million)
% 1.41/0.55 % (638004)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1653630161:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.41/0.55 % (638000)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4008689331:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.41/0.55 % (637995)Instruction limit reached!
% 1.41/0.55 % (637995)------------------------------
% 1.41/0.55 % (637995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.55 % (637995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.55 % (637995)CaDiCaL version: 2.1.3
% 1.41/0.55 % (637995)Termination reason: Instruction limit
% 1.41/0.55 % (637995)Termination phase: Saturation
% 1.41/0.55 % (637995)Time elapsed: 0.015 s
% 1.41/0.55 % (637995)Peak memory usage: 12 MB
% 1.41/0.55 % (637995)Instructions burned: 31 (million)
% 1.41/0.55 % (638010)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.41/0.55 % (638009)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3891496500:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.41/0.55 % (638010)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2395959954:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.41/0.55 % (638010)Instruction limit reached!
% 1.41/0.55 % (638010)------------------------------
% 1.41/0.55 % (638010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.55 % (638010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.55 % (638010)CaDiCaL version: 2.1.3
% 1.41/0.55 % (638010)Termination reason: Instruction limit
% 1.41/0.55 % (638010)Termination phase: Property scanning
% 1.41/0.55 % (638010)Time elapsed: 0.003 s
% 1.41/0.55 % (638010)Peak memory usage: 10 MB
% 1.41/0.55 % (638010)Instructions burned: 7 (million)
% 1.41/0.55 % (638013)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=593017279:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.11/0.62 % (638003)Instruction limit reached!
% 2.11/0.62 % (638003)------------------------------
% 2.11/0.62 % (638003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638003)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638003)Termination reason: Instruction limit
% 2.11/0.62 % (638003)Termination phase: Saturation
% 2.11/0.62 % (638003)Time elapsed: 0.033 s
% 2.11/0.62 % (638003)Peak memory usage: 13 MB
% 2.11/0.62 % (638003)Instructions burned: 144 (million)
% 2.11/0.62 % (638004)Refutation not found, incomplete strategy
% 2.11/0.62 % (638004)------------------------------
% 2.11/0.62 % (638004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638004)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638004)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62 % (638004)Time elapsed: 0.026 s
% 2.11/0.62 % (638004)Peak memory usage: 12 MB
% 2.11/0.62 % (638004)Instructions burned: 59 (million)
% 2.11/0.62 % (638004)------------------------------
% 2.11/0.62 % (638004)------------------------------
% 2.11/0.62 % (638018)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.11/0.62 % (638009)Instruction limit reached!
% 2.11/0.62 % (638009)------------------------------
% 2.11/0.62 % (638009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638009)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638009)Termination reason: Instruction limit
% 2.11/0.62 % (638009)Termination phase: Property scanning
% 2.11/0.62 % (638009)Time elapsed: 0.017 s
% 2.11/0.62 % (638009)Peak memory usage: 10 MB
% 2.11/0.62 % (638009)Instructions burned: 43 (million)
% 2.11/0.62 % (638018)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3274227347:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.11/0.62 % (638018)Instruction limit reached!
% 2.11/0.62 % (638018)------------------------------
% 2.11/0.62 % (638018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638018)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638018)Termination reason: Instruction limit
% 2.11/0.62 % (638018)Termination phase: Property scanning
% 2.11/0.62 % (638018)Time elapsed: 0.002 s
% 2.11/0.62 % (638018)Peak memory usage: 10 MB
% 2.11/0.62 % (638018)Instructions burned: 10 (million)
% 2.11/0.62 % (638016)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3747685272:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.11/0.62 % (638013)Refutation not found, incomplete strategy
% 2.11/0.62 % (638013)------------------------------
% 2.11/0.62 % (638013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638013)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638013)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62 % (638013)Time elapsed: 0.021 s
% 2.11/0.62 % (638013)Peak memory usage: 12 MB
% 2.11/0.62 % (638013)Instructions burned: 47 (million)
% 2.11/0.62 % (638013)------------------------------
% 2.11/0.62 % (638013)------------------------------
% 2.11/0.62 % (638019)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=973283672:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.11/0.62 % (638022)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=2524452708:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.11/0.62 % (638021)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3628301283:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.11/0.62 % (638019)Instruction limit reached!
% 2.11/0.62 % (638019)------------------------------
% 2.11/0.62 % (638019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638019)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638019)Termination reason: Instruction limit
% 2.11/0.62 % (638019)Termination phase: Function definition elimination
% 2.11/0.62 % (638019)Time elapsed: 0.009 s
% 2.11/0.62 % (638019)Peak memory usage: 10 MB
% 2.11/0.62 % (638019)Instructions burned: 23 (million)
% 2.11/0.62 % (638016)Refutation not found, incomplete strategy
% 2.11/0.62 % (638016)------------------------------
% 2.11/0.62 % (638016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638016)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638016)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62 % (638016)Time elapsed: 0.022 s
% 2.11/0.62 % (638016)Peak memory usage: 12 MB
% 2.11/0.62 % (638016)Instructions burned: 50 (million)
% 2.11/0.62 % (638021)Instruction limit reached!
% 2.11/0.62 % (638021)------------------------------
% 2.11/0.62 % (638021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638021)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638021)Termination reason: Instruction limit
% 2.11/0.62 % (638021)Termination phase: Function definition elimination
% 2.11/0.62 % (638021)Time elapsed: 0.009 s
% 2.11/0.62 % (638021)Peak memory usage: 10 MB
% 2.11/0.62 % (638021)Instructions burned: 21 (million)
% 2.11/0.62 % (638016)------------------------------
% 2.11/0.62 % (638016)------------------------------
% 2.11/0.62 % (638025)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3583507687:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.11/0.62 % (638028)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=141529044:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.11/0.62 % (638029)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2421739851:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.11/0.62 % (638030)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1754261605:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.11/0.62 % (638030)Instruction limit reached!
% 2.11/0.62 % (638030)------------------------------
% 2.11/0.62 % (638030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638030)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638030)Termination reason: Instruction limit
% 2.11/0.62 % (638030)Termination phase: Function definition elimination
% 2.11/0.62 % (638030)Time elapsed: 0.009 s
% 2.11/0.62 % (638030)Peak memory usage: 10 MB
% 2.11/0.62 % (638030)Instructions burned: 22 (million)
% 2.11/0.62 % (638028)Instruction limit reached!
% 2.11/0.62 % (638028)------------------------------
% 2.11/0.62 % (638028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638028)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638028)Termination reason: Instruction limit
% 2.11/0.62 % (638028)Termination phase: Property scanning
% 2.11/0.62 % (638028)Time elapsed: 0.020 s
% 2.11/0.62 % (638028)Peak memory usage: 11 MB
% 2.11/0.62 % (638028)Instructions burned: 50 (million)
% 2.11/0.62 % (638029)Refutation not found, incomplete strategy
% 2.11/0.62 % (638029)------------------------------
% 2.11/0.62 % (638029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638029)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638029)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62 % (638029)Time elapsed: 0.015 s
% 2.11/0.62 % (638029)Peak memory usage: 12 MB
% 2.11/0.62 % (638029)Instructions burned: 35 (million)
% 2.11/0.62 % (638029)------------------------------
% 2.11/0.62 % (638029)------------------------------
% 2.11/0.62 % (638035)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.11/0.62 % (638035)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=661968722:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.11/0.62 % (638036)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4269224379:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.11/0.62 % (638036)Instruction limit reached!
% 2.11/0.62 % (638036)------------------------------
% 2.11/0.62 % (638036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638036)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638036)Termination reason: Instruction limit
% 2.11/0.62 % (638036)Termination phase: Property scanning
% 2.11/0.62 % (638036)Time elapsed: 0.006 s
% 2.11/0.62 % (638036)Peak memory usage: 10 MB
% 2.11/0.62 % (638036)Instructions burned: 14 (million)
% 2.11/0.62 % (638037)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=2118525341:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.11/0.62 % (638022)Instruction limit reached!
% 2.11/0.62 % (638022)------------------------------
% 2.11/0.62 % (638022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638022)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638022)Termination reason: Instruction limit
% 2.11/0.62 % (638022)Termination phase: Saturation
% 2.11/0.62 % (638022)Time elapsed: 0.084 s
% 2.11/0.62 % (638022)Peak memory usage: 15 MB
% 2.11/0.62 % (638022)Instructions burned: 320 (million)
% 2.11/0.62 % (638040)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=507670866:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.11/0.62 % (638042)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=309272715:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.11/0.62 % (638042)Instruction limit reached!
% 2.11/0.62 % (638042)------------------------------
% 2.11/0.62 % (638042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638042)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638042)Termination reason: Instruction limit
% 2.11/0.62 % (638042)Termination phase: Property scanning
% 2.11/0.62 % (638042)Time elapsed: 0.007 s
% 2.11/0.62 % (638042)Peak memory usage: 10 MB
% 2.11/0.62 % (638042)Instructions burned: 35 (million)
% 2.11/0.62 % (638037)Instruction limit reached!
% 2.11/0.62 % (638037)------------------------------
% 2.11/0.62 % (638037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638037)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638037)Termination reason: Instruction limit
% 2.11/0.62 % (638037)Termination phase: Saturation
% 2.11/0.62 % (638037)Time elapsed: 0.028 s
% 2.11/0.62 % (638037)Peak memory usage: 12 MB
% 2.11/0.62 % (638037)Instructions burned: 67 (million)
% 2.11/0.62 % (638000) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-637938-638000"...
% 2.11/0.62 % (638045)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1241090909:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.11/0.62 % (638040)Instruction limit reached!
% 2.11/0.62 % (638040)------------------------------
% 2.11/0.62 % (638040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638040)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638040)Termination reason: Instruction limit
% 2.11/0.62 % (638040)Termination phase: Saturation
% 2.11/0.62 % (638040)Time elapsed: 0.021 s
% 2.11/0.62 % (638040)Peak memory usage: 12 MB
% 2.11/0.62 % (638040)Instructions burned: 53 (million)
% 2.11/0.62 % (638000)...printing done.
% 2.11/0.62 % (638000)Refutation found. Thanks to Tanya!
% 2.11/0.62 % SZS status Theorem for theBenchmark
% 2.11/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.62 % (638000)------------------------------
% 2.11/0.62 % (638000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (638000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (638000)CaDiCaL version: 2.1.3
% 2.11/0.62 % (638000)Termination reason: Refutation
% 2.11/0.62 % (638000)Time elapsed: 0.160 s
% 2.11/0.62 % (638000)Peak memory usage: 13 MB
% 2.11/0.62 % (638000)Instructions burned: 192 (million)
% 2.11/0.62 % (637938)Success in time 0.359 s
% 2.11/0.62 % Vampire exiting
%------------------------------------------------------------------------------