%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL723^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:14:34 AM UTC 2026
% Result : Theorem 0.23s 0.29s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 136 ( 56 unt; 0 typ; 9 def)
% Number of atoms : 752 ( 152 equ; 0 cnn)
% Maximal formula atoms : 11 ( 5 avg)
% Number of connectives : 942 ( 142 ~; 146 |; 4 &; 575 @)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 130 ( 130 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 63 usr; 15 con; 0-4 aty)
% ( 58 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 272 ( 0 sgn 33 !; 0 ?; 272 :)
% 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,
rel_b: $i > $i > $o ).
thf(func_def_33,type,
mbox_b: ( $i > $o ) > $i > $o ).
thf(func_def_34,type,
mdia_b: ( $i > $o ) > $i > $o ).
thf(func_def_35,type,
phi: $i > $o ).
thf(func_def_36,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_37,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_38,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_40,type,
vIMP: $o > $o > $o ).
thf(func_def_41,type,
vAND: $o > $o > $o ).
thf(func_def_42,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_43,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_44,type,
vOR: $o > $o > $o ).
thf(func_def_45,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_48,type,
vNOT: $o > $o ).
thf(func_def_49,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_50,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_51,type,
sF0: $o ).
thf(func_def_52,type,
sF1: $o ).
thf(func_def_55,type,
sK4: $i > $i ).
thf(func_def_57,type,
sK6: $i > $i ).
thf(f3,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
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(f18,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) )
= mreflexive ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mreflexive) ).
thf(f19,axiom,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(f28,axiom,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(f32,axiom,
( mbox_b
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( X0 @ X2 )
| ~ ( rel_b @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^4.ax',mbox_b) ).
thf(f33,axiom,
( ( ^ [X0: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ X0 ) ) ) )
= mdia_b ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^4.ax',mdia_b) ).
thf(f34,axiom,
mreflexive @ rel_b,
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^4.ax',a1) ).
thf(f35,axiom,
msymmetric @ rel_b,
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^4.ax',a2) ).
thf(f36,conjecture,
( ( mvalid @ ( mimplies @ phi @ ( mbox_b @ ( mdia_b @ phi ) ) ) )
& ( mvalid @ ( mimplies @ ( mbox_b @ phi ) @ phi ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(f37,negated_conjecture,
~ ( ( mvalid @ ( mimplies @ phi @ ( mbox_b @ ( mdia_b @ phi ) ) ) )
& ( mvalid @ ( mimplies @ ( mbox_b @ phi ) @ phi ) ) ),
inference(negated_conjecture,[status(cth)],[f36]) ).
thf(f38,plain,
( mvalid
= ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f28]) ).
thf(f39,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f49,plain,
( mbox_b
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( X0 @ X2 )
| ~ ( rel_b @ X1 @ X2 ) ) ) ),
inference(rectify,[],[f32]) ).
thf(f50,plain,
( mbox_b
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f49]) ).
thf(f56,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f3]) ).
thf(f57,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f56]) ).
thf(f58,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i,X2: $i] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) ) )
= msymmetric ),
inference(rectify,[],[f19]) ).
thf(f59,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f58]) ).
thf(f60,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f62,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f63,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f62]) ).
thf(f68,plain,
( ( ^ [X0: $i > $i > $o] :
! [X1: $i] : ( X0 @ X1 @ X1 ) )
= mreflexive ),
inference(rectify,[],[f18]) ).
thf(f69,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f68]) ).
thf(f73,plain,
( mdia_b
= ( ^ [Y0: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f33]) ).
thf(f74,plain,
mreflexive @ rel_b,
inference(rectify,[],[f34]) ).
thf(f75,plain,
( ( mreflexive @ rel_b )
= $true ),
inference(fool_elimination,[],[f74]) ).
thf(f82,plain,
msymmetric @ rel_b,
inference(rectify,[],[f35]) ).
thf(f83,plain,
( ( msymmetric @ rel_b )
= $true ),
inference(fool_elimination,[],[f82]) ).
thf(f94,plain,
~ ( ( mvalid @ ( mimplies @ phi @ ( mbox_b @ ( mdia_b @ phi ) ) ) )
& ( mvalid @ ( mimplies @ ( mbox_b @ phi ) @ phi ) ) ),
inference(rectify,[],[f37]) ).
thf(f95,plain,
~ ( ( ( mvalid @ ( mimplies @ phi @ ( mbox_b @ ( mdia_b @ phi ) ) ) )
= $true )
& ( ( mvalid @ ( mimplies @ ( mbox_b @ phi ) @ phi ) )
= $true ) ),
inference(fool_elimination,[],[f94]) ).
thf(f98,plain,
( ( ( mvalid @ ( mimplies @ ( mbox_b @ phi ) @ phi ) )
!= $true )
| ( ( mvalid @ ( mimplies @ phi @ ( mbox_b @ ( mdia_b @ phi ) ) ) )
!= $true ) ),
inference(ennf_transformation,[],[f95]) ).
thf(f103,plain,
( mreflexive
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f69]) ).
thf(f107,plain,
( mdia_b
= ( ^ [Y0: $i > $o] : ( mnot @ ( mbox_b @ ( mnot @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f73]) ).
thf(f108,plain,
( ( msymmetric @ rel_b )
= $true ),
inference(cnf_transformation,[],[f83]) ).
thf(f110,plain,
( ( mreflexive @ rel_b )
= $true ),
inference(cnf_transformation,[],[f75]) ).
thf(f114,plain,
( mbox_b
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f50]) ).
thf(f116,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f60]) ).
thf(f117,plain,
( ( ( mvalid @ ( mimplies @ ( mbox_b @ phi ) @ phi ) )
!= $true )
| ( ( mvalid @ ( mimplies @ phi @ ( mbox_b @ ( mdia_b @ phi ) ) ) )
!= $true ) ),
inference(cnf_transformation,[],[f98]) ).
thf(f118,plain,
( msymmetric
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f59]) ).
thf(f119,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f63]) ).
thf(f126,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f128,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f57]) ).
thf(f138,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f116,f119,f128]) ).
thf(f146,plain,
( mdia_b
= ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( rel_b @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f107,f128,f114,f128]) ).
thf(f147,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
@ rel_b ) ),
inference(definition_unfolding,[],[f108,f118]) ).
thf(f148,plain,
( $true
= ( ^ [Y0: $i > $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 @ Y1 ) )
@ rel_b ) ),
inference(definition_unfolding,[],[f110,f103]) ).
thf(f149,plain,
( ( $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 > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ phi )
@ phi ) ) )
| ( ( ^ [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 )
@ phi
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( rel_b @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ Y0 ) ) )
@ phi ) ) ) )
!= $true ) ),
inference(definition_unfolding,[],[f117,f126,f138,f114,f126,f138,f114,f146]) ).
thf(f150,definition,
( sF0
= ( ^ [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 > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ phi )
@ phi ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f151,plain,
( ( ^ [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 > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ phi )
@ phi ) )
= sF0 ),
inference(reorient_equations,[],[f150]) ).
thf(f152,definition,
( sF1
= ( ^ [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 )
@ phi
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( rel_b @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ Y0 ) ) )
@ phi ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
thf(f153,plain,
( ( ^ [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 )
@ phi
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( rel_b @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ Y0 ) ) )
@ phi ) ) ) )
= sF1 ),
inference(reorient_equations,[],[f152]) ).
thf(f154,plain,
( ( $true != sF1 )
| ( $true != sF0 ) ),
inference(definition_folding,[],[f149,f153,f151]) ).
thf(f156,plain,
( ( ( ^ [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 )
@ phi
@ ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: $i > $o,Y2: $i] :
( !! @ $i
@ ^ [Y3: $i] :
( ~ ( rel_b @ Y2 @ Y3 )
| ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ Y0 ) ) )
@ phi ) ) ) )
= $false )
| ( $true = sF1 ) ),
inference(iff_proxy_clausification,[],[f153]) ).
thf(f157,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( phi @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_b @ Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ~ ( phi @ Y2 ) ) ) ) ) ) )
= $false )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f156]) ).
thf(f158,plain,
( ( $true = sF1 )
| ( ( ^ [Y0: $i] :
( ~ ( phi @ Y0 )
| ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_b @ Y0 @ Y1 )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ~ ( phi @ Y2 ) ) ) ) ) )
@ sK2 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f157]) ).
thf(f159,plain,
( ( $false
= ( ~ ( phi @ sK2 )
| ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_b @ sK2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_b @ Y0 @ Y1 )
| ~ ( phi @ Y1 ) ) ) ) ) ) )
| ( $true = sF1 ) ),
inference(beta-eta_normalization,[],[f158]) ).
thf(f160,plain,
( ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_b @ sK2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_b @ Y0 @ Y1 )
| ~ ( phi @ Y1 ) ) ) ) )
= $false )
| ( $true = sF1 ) ),
inference(or_proxy_clausification,[],[f159]) ).
thf(f161,plain,
( ( $true = sF1 )
| ( ( ~ ( phi @ sK2 ) )
= $false ) ),
inference(or_proxy_clausification,[],[f159]) ).
thf(f162,plain,
( ( $true
= ( phi @ sK2 ) )
| ( $true = sF1 ) ),
inference(not_proxy_clausification,[],[f161]) ).
thf(f163,plain,
( ( $true = sF1 )
| ( ( ^ [Y0: $i] :
( ~ ( rel_b @ sK2 @ Y0 )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_b @ Y0 @ Y1 )
| ~ ( phi @ Y1 ) ) ) )
@ sK3 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f160]) ).
thf(f164,plain,
( ( $true = sF1 )
| ( ( ~ ( rel_b @ sK2 @ sK3 )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_b @ sK3 @ Y0 )
| ~ ( phi @ Y0 ) ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f163]) ).
thf(f165,plain,
( ( $true = sF1 )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_b @ sK3 @ Y0 )
| ~ ( phi @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f164]) ).
thf(f166,plain,
( ( ( ~ ( rel_b @ sK2 @ sK3 ) )
= $false )
| ( $true = sF1 ) ),
inference(or_proxy_clausification,[],[f164]) ).
thf(f167,plain,
( ( $true = sF1 )
| ( $true
= ( rel_b @ sK2 @ sK3 ) ) ),
inference(not_proxy_clausification,[],[f166]) ).
thf(f168,plain,
( ( $true = sF1 )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_b @ sK3 @ Y0 )
| ~ ( phi @ Y0 ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f165]) ).
thf(f169,plain,
! [X1: $i] :
( ( $true = sF1 )
| ( $true
= ( ^ [Y0: $i] :
( ~ ( rel_b @ sK3 @ Y0 )
| ~ ( phi @ Y0 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f168]) ).
thf(f170,plain,
! [X1: $i] :
( ( $true = sF1 )
| ( $true
= ( ~ ( rel_b @ sK3 @ X1 )
| ~ ( phi @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f169]) ).
thf(f171,plain,
! [X1: $i] :
( ( $true
= ( ~ ( rel_b @ sK3 @ X1 ) ) )
| ( $true = sF1 )
| ( $true
= ( ~ ( phi @ X1 ) ) ) ),
inference(or_proxy_clausification,[],[f170]) ).
thf(f172,plain,
! [X1: $i] :
( ( $true = sF1 )
| ( ( rel_b @ sK3 @ X1 )
= $false )
| ( $true
= ( ~ ( phi @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f171]) ).
thf(f173,plain,
! [X1: $i] :
( ( ( phi @ X1 )
= $false )
| ( $true = sF1 )
| ( ( rel_b @ sK3 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f172]) ).
thf(f191,plain,
( ( $true = sF0 )
| ( $false
= ( ^ [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 > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ~ ( rel_b @ Y1 @ Y2 )
| ( Y0 @ Y2 ) ) )
@ phi )
@ phi ) ) ) ),
inference(iff_proxy_clausification,[],[f151]) ).
thf(f192,plain,
( ( $true = sF0 )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_b @ Y0 @ Y1 )
| ( phi @ Y1 ) ) )
| ( phi @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f191]) ).
thf(f193,plain,
( ( $false
= ( ^ [Y0: $i] :
( ~ ( !! @ $i
@ ^ [Y1: $i] :
( ~ ( rel_b @ Y0 @ Y1 )
| ( phi @ Y1 ) ) )
| ( phi @ Y0 ) )
@ sK5 ) )
| ( $true = sF0 ) ),
inference(sigma_proxy_clausification,[],[f192]) ).
thf(f194,plain,
( ( $true = sF0 )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_b @ sK5 @ Y0 )
| ( phi @ Y0 ) ) )
| ( phi @ sK5 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f193]) ).
thf(f195,plain,
( ( ( phi @ sK5 )
= $false )
| ( $true = sF0 ) ),
inference(or_proxy_clausification,[],[f194]) ).
thf(f196,plain,
( ( $true = sF0 )
| ( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_b @ sK5 @ Y0 )
| ( phi @ Y0 ) ) ) )
= $false ) ),
inference(or_proxy_clausification,[],[f194]) ).
thf(f197,plain,
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ~ ( rel_b @ sK5 @ Y0 )
| ( phi @ Y0 ) ) ) )
| ( $true = sF0 ) ),
inference(not_proxy_clausification,[],[f196]) ).
thf(f198,plain,
! [X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ~ ( rel_b @ sK5 @ Y0 )
| ( phi @ Y0 ) )
@ X1 ) )
| ( $true = sF0 ) ),
inference(pi_proxy_clausification,[],[f197]) ).
thf(f199,plain,
! [X1: $i] :
( ( ( ~ ( rel_b @ sK5 @ X1 )
| ( phi @ X1 ) )
= $true )
| ( $true = sF0 ) ),
inference(beta-eta_normalization,[],[f198]) ).
thf(f200,plain,
! [X1: $i] :
( ( $true
= ( ~ ( rel_b @ sK5 @ X1 ) ) )
| ( $true = sF0 )
| ( $true
= ( phi @ X1 ) ) ),
inference(or_proxy_clausification,[],[f199]) ).
thf(f201,plain,
! [X1: $i] :
( ( $true
= ( phi @ X1 ) )
| ( $true = sF0 )
| ( ( rel_b @ sK5 @ X1 )
= $false ) ),
inference(not_proxy_clausification,[],[f200]) ).
thf(f212,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] : ( rel_b @ Y0 @ Y0 ) ) ),
inference(beta-eta_normalization,[],[f148]) ).
thf(f213,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] : ( rel_b @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f212]) ).
thf(f214,plain,
! [X1: $i] :
( $true
= ( rel_b @ X1 @ X1 ) ),
inference(beta-eta_normalization,[],[f213]) ).
thf(f215,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel_b @ Y1 @ Y0 )
=> ( rel_b @ Y0 @ Y1 ) ) ) ) ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f216,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( rel_b @ Y1 @ Y0 )
=> ( rel_b @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f215]) ).
thf(f217,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( rel_b @ Y0 @ X1 )
=> ( rel_b @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f216]) ).
thf(f218,plain,
! [X2: $i,X1: $i] :
( ( ^ [Y0: $i] :
( ( rel_b @ Y0 @ X1 )
=> ( rel_b @ X1 @ Y0 ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f217]) ).
thf(f219,plain,
! [X2: $i,X1: $i] :
( $true
= ( ( rel_b @ X2 @ X1 )
=> ( rel_b @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f218]) ).
thf(f220,plain,
! [X2: $i,X1: $i] :
( ( ( rel_b @ X2 @ X1 )
= $false )
| ( ( rel_b @ X1 @ X2 )
= $true ) ),
inference(imp_proxy_clausification,[],[f219]) ).
thf(f222,definition,
( spl7_1
<=> ( $true = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
thf(f226,definition,
( spl7_2
<=> ( $true
= ( phi @ sK2 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
thf(f228,plain,
( ( $true
= ( phi @ sK2 ) )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f229,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f162,f226,f222]) ).
thf(f231,definition,
( spl7_3
<=> ( $true
= ( rel_b @ sK2 @ sK3 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
thf(f233,plain,
( ( $true
= ( rel_b @ sK2 @ sK3 ) )
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f231]) ).
thf(f234,plain,
( spl7_1
| spl7_3 ),
inference(avatar_split_clause,[],[f167,f231,f222]) ).
thf(f236,definition,
( spl7_4
<=> ! [X1: $i] :
( ( ( phi @ X1 )
= $false )
| ( ( rel_b @ sK3 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
thf(f237,plain,
( ! [X1: $i] :
( ( ( rel_b @ sK3 @ X1 )
= $false )
| ( ( phi @ X1 )
= $false ) )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f236]) ).
thf(f238,plain,
( spl7_4
| spl7_1 ),
inference(avatar_split_clause,[],[f173,f222,f236]) ).
thf(f252,definition,
( spl7_8
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
thf(f256,definition,
( spl7_9
<=> ! [X1: $i] :
( ( $true
= ( phi @ X1 ) )
| ( ( rel_b @ sK5 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
thf(f257,plain,
( ! [X1: $i] :
( ( ( rel_b @ sK5 @ X1 )
= $false )
| ( $true
= ( phi @ X1 ) ) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f256]) ).
thf(f258,plain,
( spl7_8
| spl7_9 ),
inference(avatar_split_clause,[],[f201,f256,f252]) ).
thf(f260,definition,
( spl7_10
<=> ( ( phi @ sK5 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl7_10])],[avatar_definition]) ).
thf(f262,plain,
( ( ( phi @ sK5 )
= $false )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f263,plain,
( spl7_10
| spl7_8 ),
inference(avatar_split_clause,[],[f195,f252,f260]) ).
thf(f276,plain,
( ~ spl7_1
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f154,f252,f222]) ).
thf(f301,plain,
( ( $true
= ( phi @ sK5 ) )
| ( $true = $false )
| ~ spl7_9 ),
inference(constrained_superposition,[],[f257,f214]) ).
thf(f304,plain,
( ( $true
= ( phi @ sK5 ) )
| ~ spl7_9 ),
inference(trivial_inequality_removal,[],[f301]) ).
thf(f307,plain,
( ( $true = $false )
| ~ spl7_9
| ~ spl7_10 ),
inference(forward_demodulation,[],[f304,f262]) ).
thf(f308,plain,
( $false
| ~ spl7_9
| ~ spl7_10 ),
inference(trivial_inequality_removal,[],[f307]) ).
thf(f309,plain,
( ~ spl7_9
| ~ spl7_10 ),
inference(avatar_contradiction_clause,[],[f308]) ).
thf(f327,plain,
( ( $true = $false )
| ( ( rel_b @ sK3 @ sK2 )
= $true )
| ~ spl7_3 ),
inference(constrained_superposition,[],[f233,f220]) ).
thf(f330,plain,
( ( ( rel_b @ sK3 @ sK2 )
= $true )
| ~ spl7_3 ),
inference(trivial_inequality_removal,[],[f327]) ).
thf(f333,plain,
( ( $true = $false )
| ( ( phi @ sK2 )
= $false )
| ~ spl7_3
| ~ spl7_4 ),
inference(constrained_superposition,[],[f330,f237]) ).
thf(f340,plain,
( ( ( phi @ sK2 )
= $false )
| ~ spl7_3
| ~ spl7_4 ),
inference(trivial_inequality_removal,[],[f333]) ).
thf(f344,plain,
( ( $true = $false )
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4 ),
inference(forward_demodulation,[],[f340,f228]) ).
thf(f345,plain,
( $false
| ~ spl7_2
| ~ spl7_3
| ~ spl7_4 ),
inference(trivial_inequality_removal,[],[f344]) ).
thf(f346,plain,
( ~ spl7_2
| ~ spl7_3
| ~ spl7_4 ),
inference(avatar_contradiction_clause,[],[f345]) ).
cnf(s1,plain,
( spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f229]) ).
cnf(s2,plain,
( spl7_1
| spl7_3 ),
inference(sat_conversion,[],[f234]) ).
cnf(s3,plain,
( spl7_1
| spl7_4 ),
inference(sat_conversion,[],[f238]) ).
cnf(s6,plain,
( spl7_8
| spl7_9 ),
inference(sat_conversion,[],[f258]) ).
cnf(s7,plain,
( spl7_8
| spl7_10 ),
inference(sat_conversion,[],[f263]) ).
cnf(s10,plain,
( ~ spl7_1
| ~ spl7_8 ),
inference(sat_conversion,[],[f276]) ).
cnf(s14,plain,
( ~ spl7_9
| ~ spl7_10 ),
inference(sat_conversion,[],[f309]) ).
cnf(s17,plain,
( ~ spl7_2
| ~ spl7_3
| ~ spl7_4 ),
inference(sat_conversion,[],[f346]) ).
cnf(s18,plain,
spl7_1,
inference(rat,[],[s17,s1,s2,s3]) ).
cnf(s19,plain,
~ spl7_8,
inference(rat,[],[s10,s18]) ).
cnf(s21,plain,
spl7_10,
inference(rat,[],[s7,s19]) ).
cnf(s22,plain,
spl7_9,
inference(rat,[],[s6,s19]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s14,s21,s22]) ).
thf(f347,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL723^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n009.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 09:58:16 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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
% 0.23/0.29 % (3787854)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.29 % (3787865)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.29 % (3787865)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.23/0.29 % (3787865)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=2905264990:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.29 % (3787865) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3787854-3787865"...
% 0.23/0.29 % (3787859)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1538284770:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.29 % (3787860)lrs+10_16_si=on:nwc=1.5:random_seed=2673986769:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.29 % (3787861)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1734337708:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.29 % (3787862)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=2710888987:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.23/0.29 % (3787863)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3900095196:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.29 % (3787864)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3667158638:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.29 % (3787865)...printing done.
% 0.23/0.29 % (3787865)Refutation found. Thanks to Tanya!
% 0.23/0.29 % SZS status Theorem for theBenchmark
% 0.23/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.29 % (3787865)------------------------------
% 0.23/0.29 % (3787865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.29 % (3787865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.29 % (3787865)CaDiCaL version: 2.1.3
% 0.23/0.29 % (3787865)Termination reason: Refutation
% 0.23/0.29 % (3787865)Time elapsed: 0.007 s
% 0.23/0.29 % (3787865)Peak memory usage: 13 MB
% 0.23/0.29 % (3787865)Instructions burned: 20 (million)
% 0.23/0.29 % (3787854)Success in time 0.043 s
% 0.23/0.29 % Vampire exiting
%------------------------------------------------------------------------------