%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL691^1 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:14:30 AM UTC 2026
% Result : Theorem 0.22s 0.32s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 12
% Syntax : Number of formulae : 108 ( 71 unt; 0 typ; 0 def)
% Number of atoms : 688 ( 152 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 982 ( 32 ~; 73 |; 0 &; 720 @)
% ( 0 <=>; 82 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 159 ( 159 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 52 usr; 6 con; 0-4 aty)
% ( 75 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 315 ( 225 ^; 89 !; 1 ?; 315 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_6,type,
individuals: $tType ).
thf(func_def_1,type,
prop_a: $i > $o ).
thf(func_def_2,type,
prop_b: $i > $o ).
thf(func_def_3,type,
prop_c: $i > $o ).
thf(func_def_4,type,
mfalse: $i > $o ).
thf(func_def_5,type,
mtrue: $i > $o ).
thf(func_def_6,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
miff: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_15,type,
mexists: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_16,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_17,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_18,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_20,type,
reli: $i > $i > $o ).
thf(func_def_21,type,
relr: $i > $i > $o ).
thf(func_def_22,type,
cs4_atom: ( $i > $o ) > $i > $o ).
thf(func_def_23,type,
cs4_and: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_24,type,
cs4_or: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_25,type,
cs4_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_26,type,
cs4_true: $i > $o ).
thf(func_def_27,type,
cs4_false: $i > $o ).
thf(func_def_28,type,
cs4_all: ( individuals > $i > $o ) > $i > $o ).
thf(func_def_29,type,
cs4_box: ( $i > $o ) > $i > $o ).
thf(func_def_30,type,
cs4_valid: ( $i > $o ) > $o ).
thf(func_def_31,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_32,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_36,type,
vNOT: $o > $o ).
thf(func_def_39,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_40,type,
vAND: $o > $o > $o ).
thf(func_def_41,type,
vIMP: $o > $o > $o ).
thf(func_def_42,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
vOR: $o > $o > $o ).
thf(func_def_44,type,
sK0: $i > $o ).
thf(func_def_45,type,
sK1: $i > ( $i > $o ) > $i ).
thf(func_def_46,type,
sK2: $i > ( $i > $o ) > $i ).
thf(func_def_47,type,
sK3: $i > ( $i > $o ) > $i ).
thf(func_def_48,type,
sK4: $i > ( $i > $o ) > $i ).
thf(func_def_49,type,
sK5: $i > ( $i > $o ) > $i ).
thf(func_def_50,type,
sK6: $i > ( $i > $o ) > $i ).
thf(func_def_54,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mnot) ).
thf(f4,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mor) ).
thf(f6,axiom,
( mimpl
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).
thf(f8,axiom,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).
thf(f12,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).
thf(f16,axiom,
( cs4_atom
= ( ^ [X0: $i > $o] : ( mbox @ reli @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_atom) ).
thf(f19,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mbox @ reli @ ( mimpl @ X0 @ X1 ) ) )
= cs4_impl ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_impl) ).
thf(f23,axiom,
( ( ^ [X0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ X0 ) ) )
= cs4_box ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_box) ).
thf(f24,axiom,
( cs4_valid
= ( ^ [X0: $i > $o] : ( mvalid @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',cs4_valid_def) ).
thf(f25,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',refl_axiom_i) ).
thf(f26,axiom,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL009^0.ax',refl_axiom_r) ).
thf(f30,conjecture,
! [X0: $i > $o] : ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cs4_refl) ).
thf(f31,negated_conjecture,
~ ! [X0: $i > $o] : ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
thf(f34,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ Y0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f38,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f39,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f40,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) ),
inference(rectify,[],[f26]) ).
thf(f41,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) )
= $true ),
inference(fool_elimination,[],[f40]) ).
thf(f46,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f54,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f12]) ).
thf(f55,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f54]) ).
thf(f56,plain,
~ ! [X0: $i > $o] : ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) ),
inference(rectify,[],[f31]) ).
thf(f57,plain,
~ ! [X0: $i > $o] :
( ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) )
= $true ),
inference(fool_elimination,[],[f56]) ).
thf(f59,plain,
( cs4_box
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ Y0 ) ) ) ),
inference(fool_elimination,[],[f23]) ).
thf(f64,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ reli @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f65,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f66,plain,
! [X0: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) ),
inference(rectify,[],[f25]) ).
thf(f67,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) )
= $true ),
inference(fool_elimination,[],[f66]) ).
thf(f68,plain,
( ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f8]) ).
thf(f69,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f68]) ).
thf(f72,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f73,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f72]) ).
thf(f77,plain,
? [X0: $i > $o] :
( ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ X0 ) ) @ ( cs4_atom @ X0 ) ) )
!= $true ),
inference(ennf_transformation,[],[f57]) ).
thf(f78,plain,
( ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ sK0 ) ) @ ( cs4_atom @ sK0 ) ) )
!= $true ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f77]) ).
thf(f79,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mbox @ reli @ ( mimpl @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f64]) ).
thf(f80,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f73]) ).
thf(f82,plain,
( cs4_box
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f86,plain,
( mbox
= ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f89,plain,
( ( cs4_valid @ ( cs4_impl @ ( cs4_box @ ( cs4_atom @ sK0 ) ) @ ( cs4_atom @ sK0 ) ) )
!= $true ),
inference(cnf_transformation,[],[f78]) ).
thf(f91,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ relr @ X0 ) @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f41]) ).
thf(f95,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f103,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] : ( mvalid @ Y0 ) ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f104,plain,
! [X0: $i > $o] :
( ( mvalid @ ( mimpl @ ( mbox @ reli @ X0 ) @ X0 ) )
= $true ),
inference(cnf_transformation,[],[f67]) ).
thf(f106,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f65]) ).
thf(f107,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f108,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] : ( mbox @ reli @ Y0 ) ) ),
inference(cnf_transformation,[],[f34]) ).
thf(f111,plain,
( mimpl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f106,f80,f107]) ).
thf(f113,plain,
( cs4_atom
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 ) ) ),
inference(definition_unfolding,[],[f108,f86]) ).
thf(f116,plain,
( cs4_impl
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ reli
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f79,f86,f111]) ).
thf(f120,plain,
( cs4_box
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ relr
@ Y0 ) ) ) ),
inference(definition_unfolding,[],[f82,f86,f86]) ).
thf(f121,plain,
( cs4_valid
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 ) ) ),
inference(definition_unfolding,[],[f103,f95]) ).
thf(f124,plain,
( ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] : ( Y1 @ Y2 ) )
@ Y0 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $i > $o,Y3: $i > $o,Y4: $i] :
( !! @ $i
@ ^ [Y5: $i] :
( ( Y2 @ Y4 @ Y5 )
=> ( Y3 @ Y5 ) ) )
@ reli
@ ( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y4 @ Y6 )
| ( Y5 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ Y0
@ Y1 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ relr
@ Y0 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 )
@ sK0 ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( Y1 @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ reli
@ Y0 )
@ sK0 ) ) )
!= $true ),
inference(definition_unfolding,[],[f89,f121,f116,f120,f113,f113]) ).
thf(f125,plain,
! [X0: $i > $o] :
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ relr
@ X0 )
@ X0 ) )
= $true ),
inference(definition_unfolding,[],[f91,f95,f111,f86]) ).
thf(f127,plain,
! [X0: $i > $o] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ( Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ reli
@ X0 )
@ X0 ) ) ),
inference(definition_unfolding,[],[f104,f95,f111,f86]) ).
thf(f128,plain,
! [X0: $i > $o] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f125]) ).
thf(f129,plain,
! [X0: $i > $o,X1: $i] :
( ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f128]) ).
thf(f130,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
| ( X0 @ X1 ) ) ),
inference(beta-eta_normalization,[],[f129]) ).
thf(f131,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f130]) ).
thf(f132,plain,
! [X0: $i > $o,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
= $false )
| ( ( X0 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f131]) ).
thf(f133,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( ( ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK1 @ X1 @ X0 ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f132]) ).
thf(f134,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( ( ( relr @ X1 @ ( sK1 @ X1 @ X0 ) )
=> ( X0 @ ( sK1 @ X1 @ X0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f133]) ).
thf(f135,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ ( sK1 @ X1 @ X0 ) )
= $false )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f134]) ).
thf(f136,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( relr @ X1 @ ( sK1 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f134]) ).
thf(f137,plain,
! [X0: $i > $o] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f127]) ).
thf(f138,plain,
! [X0: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( X0 @ Y1 ) ) )
| ( X0 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f137]) ).
thf(f139,plain,
! [X0: $i > $o,X1: $i] :
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
| ( X0 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f138]) ).
thf(f140,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(or_proxy_clausification,[],[f139]) ).
thf(f141,plain,
! [X0: $i > $o,X1: $i] :
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( X0 @ Y0 ) ) )
= $false )
| ( ( X0 @ X1 )
= $true ) ),
inference(not_proxy_clausification,[],[f140]) ).
thf(f142,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ X1 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( reli @ X1 @ Y0 )
=> ( X0 @ Y0 ) )
@ ( sK2 @ X1 @ X0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f141]) ).
thf(f143,plain,
! [X0: $i > $o,X1: $i] :
( ( ( ( reli @ X1 @ ( sK2 @ X1 @ X0 ) )
=> ( X0 @ ( sK2 @ X1 @ X0 ) ) )
= $false )
| ( ( X0 @ X1 )
= $true ) ),
inference(beta-eta_normalization,[],[f142]) ).
thf(f144,plain,
! [X0: $i > $o,X1: $i] :
( ( ( X0 @ ( sK2 @ X1 @ X0 ) )
= $false )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f143]) ).
thf(f145,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( reli @ X1 @ ( sK2 @ X1 @ X0 ) ) )
| ( ( X0 @ X1 )
= $true ) ),
inference(imp_proxy_clausification,[],[f143]) ).
thf(f201,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK0 @ Y4 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f124]) ).
thf(f202,plain,
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( relr @ Y2 @ Y3 )
=> ( !! @ $i
@ ^ [Y4: $i] :
( ( reli @ Y3 @ Y4 )
=> ( sK0 @ Y4 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) )
@ sK7 )
= $false ),
inference(sigma_proxy_clausification,[],[f201]) ).
thf(f203,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK0 @ Y3 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f202]) ).
thf(f204,plain,
( ( ^ [Y0: $i] :
( ( reli @ sK7 @ Y0 )
=> ( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( relr @ Y1 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( reli @ Y2 @ Y3 )
=> ( sK0 @ Y3 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) ) )
@ sK8 )
= $false ),
inference(sigma_proxy_clausification,[],[f203]) ).
thf(f205,plain,
( ( ( reli @ sK7 @ sK8 )
=> ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( sK0 @ Y0 ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f204]) ).
thf(f206,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( sK0 @ Y0 ) ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f205]) ).
thf(f208,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( sK0 @ Y0 ) ) )
= $false ),
inference(or_proxy_clausification,[],[f206]) ).
thf(f209,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) ) )
= $false ),
inference(or_proxy_clausification,[],[f206]) ).
thf(f210,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f209]) ).
thf(f211,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( relr @ Y0 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( reli @ Y1 @ Y2 )
=> ( sK0 @ Y2 ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f210]) ).
thf(f212,plain,
! [X1: $i] :
( $true
= ( ( reli @ sK8 @ X1 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f211]) ).
thf(f213,plain,
! [X1: $i] :
( ( ( reli @ sK8 @ X1 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f212]) ).
thf(f214,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( relr @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( reli @ Y0 @ Y1 )
=> ( sK0 @ Y1 ) ) ) )
@ X2 ) )
| ( ( reli @ sK8 @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f213]) ).
thf(f215,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( relr @ X1 @ X2 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( sK0 @ Y0 ) ) ) ) )
| ( ( reli @ sK8 @ X1 )
= $false ) ),
inference(beta-eta_normalization,[],[f214]) ).
thf(f216,plain,
! [X2: $i,X1: $i] :
( ( ( relr @ X1 @ X2 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( sK0 @ Y0 ) ) ) )
| ( ( reli @ sK8 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f215]) ).
thf(f217,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( relr @ X1 @ X2 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( reli @ X2 @ Y0 )
=> ( sK0 @ Y0 ) )
@ X3 ) )
| ( ( reli @ sK8 @ X1 )
= $false ) ),
inference(pi_proxy_clausification,[],[f216]) ).
thf(f218,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( relr @ X1 @ X2 )
= $false )
| ( ( reli @ sK8 @ X1 )
= $false )
| ( $true
= ( ( reli @ X2 @ X3 )
=> ( sK0 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f217]) ).
thf(f219,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( relr @ X1 @ X2 )
= $false )
| ( ( reli @ X2 @ X3 )
= $false )
| ( ( sK0 @ X3 )
= $true )
| ( ( reli @ sK8 @ X1 )
= $false ) ),
inference(imp_proxy_clausification,[],[f218]) ).
thf(f220,plain,
( $false
= ( ^ [Y0: $i] :
( ( reli @ sK8 @ Y0 )
=> ( sK0 @ Y0 ) )
@ sK9 ) ),
inference(sigma_proxy_clausification,[],[f208]) ).
thf(f221,plain,
( ( ( reli @ sK8 @ sK9 )
=> ( sK0 @ sK9 ) )
= $false ),
inference(beta-eta_normalization,[],[f220]) ).
thf(f222,plain,
( ( sK0 @ sK9 )
= $false ),
inference(imp_proxy_clausification,[],[f221]) ).
thf(f223,plain,
( $true
= ( reli @ sK8 @ sK9 ) ),
inference(imp_proxy_clausification,[],[f221]) ).
thf(f242,plain,
! [X2: $i,X0: $i,X1: $i > $o] :
( ( ( reli @ sK8 @ X2 )
= $false )
| ( $true = $false )
| ( $true
= ( sK0 @ ( sK2 @ X0 @ X1 ) ) )
| ( ( relr @ X2 @ X0 )
= $false )
| ( $true
= ( X1 @ X0 ) ) ),
inference(constrained_superposition,[],[f145,f219]) ).
thf(f248,plain,
! [X2: $i,X0: $i,X1: $i > $o] :
( ( $true
= ( sK0 @ ( sK2 @ X0 @ X1 ) ) )
| ( ( relr @ X2 @ X0 )
= $false )
| ( $true
= ( X1 @ X0 ) )
| ( ( reli @ sK8 @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f242]) ).
thf(f253,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( ( reli @ sK8 @ X1 )
= $false )
| ( $true = $false )
| ( ( relr @ X1 @ X0 )
= $false )
| ( $true
= ( sK0 @ X0 ) ) ),
inference(constrained_superposition,[],[f144,f248]) ).
thf(f254,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( $true = $false )
| ( ( reli @ sK8 @ X1 )
= $false )
| ( ( relr @ X1 @ X0 )
= $false ) ),
inference(duplicate_literal_removal,[],[f253]) ).
thf(f255,plain,
! [X0: $i,X1: $i] :
( ( ( relr @ X1 @ X0 )
= $false )
| ( ( reli @ sK8 @ X1 )
= $false )
| ( $true
= ( sK0 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f254]) ).
thf(f262,plain,
! [X0: $i,X1: $i > $o] :
( ( $true
= ( sK0 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( reli @ sK8 @ X0 )
= $false )
| ( $true = $false )
| ( $true
= ( X1 @ X0 ) ) ),
inference(constrained_superposition,[],[f136,f255]) ).
thf(f272,plain,
! [X0: $i,X1: $i > $o] :
( ( $true
= ( sK0 @ ( sK1 @ X0 @ X1 ) ) )
| ( ( reli @ sK8 @ X0 )
= $false )
| ( $true
= ( X1 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f280,plain,
! [X0: $i] :
( ( $true
= ( sK0 @ X0 ) )
| ( $true = $false )
| ( $true
= ( sK0 @ X0 ) )
| ( ( reli @ sK8 @ X0 )
= $false ) ),
inference(constrained_superposition,[],[f272,f135]) ).
thf(f282,plain,
! [X0: $i] :
( ( $true = $false )
| ( ( reli @ sK8 @ X0 )
= $false )
| ( $true
= ( sK0 @ X0 ) ) ),
inference(duplicate_literal_removal,[],[f280]) ).
thf(f283,plain,
! [X0: $i] :
( ( ( reli @ sK8 @ X0 )
= $false )
| ( $true
= ( sK0 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f282]) ).
thf(f291,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK9 ) ) ),
inference(constrained_superposition,[],[f223,f283]) ).
thf(f295,plain,
( $true
= ( sK0 @ sK9 ) ),
inference(trivial_inequality_removal,[],[f291]) ).
thf(f298,plain,
$true = $false,
inference(forward_demodulation,[],[f295,f222]) ).
thf(f299,plain,
$false,
inference(trivial_inequality_removal,[],[f298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL691^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n026.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 09:37:21 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running higher-order theorem proving
% 0.09/0.26 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
% 0.22/0.32 % (361126)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.32 % (361134)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=1082657665: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)
% 0.22/0.32 % (361137)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.32 % (361137)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
% 0.22/0.32 % (361131)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1036949065:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.32 % (361135)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=424176729:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.32 % (361132)lrs+10_16_si=on:nwc=1.5:random_seed=3602661923:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.32 % (361133)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3436602420:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.32 % (361136)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=947976673:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.32 % (361137)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=2879109682:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.32 % (361133)Instruction limit reached!
% 0.22/0.32 % (361133)------------------------------
% 0.22/0.32 % (361133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (361133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (361133)CaDiCaL version: 2.1.3
% 0.22/0.32 % (361133)Termination reason: Instruction limit
% 0.22/0.32 % (361133)Termination phase: Property scanning
% 0.22/0.32 % (361133)Time elapsed: 0.002 s
% 0.22/0.32 % (361133)Peak memory usage: 10 MB
% 0.22/0.32 % (361133)Instructions burned: 5 (million)
% 0.22/0.32 % (361131) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-361126-361131"...
% 0.22/0.32 % (361132)Instruction limit reached!
% 0.22/0.32 % (361132)------------------------------
% 0.22/0.32 % (361132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (361132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (361132)CaDiCaL version: 2.1.3
% 0.22/0.32 % (361132)Termination reason: Instruction limit
% 0.22/0.32 % (361132)Termination phase: Saturation
% 0.22/0.32 % (361132)Time elapsed: 0.010 s
% 0.22/0.32 % (361132)Peak memory usage: 12 MB
% 0.22/0.32 % (361132)Instructions burned: 19 (million)
% 0.22/0.32 % (361137) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-361126-361137"...
% 0.22/0.32 % (361135)Instruction limit reached!
% 0.22/0.32 % (361135)------------------------------
% 0.22/0.32 % (361135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (361131)...printing done.
% 0.22/0.32 % (361135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (361135)CaDiCaL version: 2.1.3
% 0.22/0.32 % (361135)Termination reason: Instruction limit
% 0.22/0.32 % (361135)Termination phase: Saturation
% 0.22/0.32 % (361135)Time elapsed: 0.014 s
% 0.22/0.32 % (361135)Peak memory usage: 11 MB
% 0.22/0.32 % (361135)Instructions burned: 24 (million)
% 0.22/0.32 % (361131)Refutation found. Thanks to Tanya!
% 0.22/0.32 % SZS status Theorem for theBenchmark
% 0.22/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.32 % (361131)------------------------------
% 0.22/0.32 % (361131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32 % (361131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32 % (361131)CaDiCaL version: 2.1.3
% 0.22/0.32 % (361131)Termination reason: Refutation
% 0.22/0.32 % (361131)Time elapsed: 0.013 s
% 0.22/0.32 % (361131)Peak memory usage: 12 MB
% 0.22/0.32 % (361131)Instructions burned: 25 (million)
% 0.22/0.32 % (361126)Success in time 0.049 s
% 0.22/0.32 % Vampire exiting
%------------------------------------------------------------------------------