%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO067^4.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:46:28 AM UTC 2026
% Result : Theorem 3.11s 0.76s
% Output : Refutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 16
% Syntax : Number of formulae : 139 ( 56 unt; 0 typ; 4 def)
% Number of atoms : 1186 ( 296 equ; 0 cnn)
% Maximal formula atoms : 12 ( 8 avg)
% Number of connectives : 1489 ( 66 ~; 222 |; 3 &;1013 @)
% ( 3 <=>; 99 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 98 ( 98 >; 0 *; 0 +; 0 <<)
% Number of symbols : 46 ( 42 usr; 8 con; 0-4 aty)
% ( 83 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 388 ( 0 sgn 166 !; 0 ?; 388 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
irel: $i > $i > $o ).
thf(func_def_2,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
iatom: ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
inot: ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
itrue: $i > $o ).
thf(func_def_10,type,
ifalse: $i > $o ).
thf(func_def_11,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
iimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_16,type,
ixor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_17,type,
ivalid: ( $i > $o ) > $o ).
thf(func_def_18,type,
isatisfiable: ( $i > $o ) > $o ).
thf(func_def_19,type,
icountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_20,type,
iinvalid: ( $i > $o ) > $o ).
thf(func_def_21,type,
f: $i > $o ).
thf(func_def_22,type,
p1: $i > $o ).
thf(func_def_23,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_24,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_29,type,
vNOT: $o > $o ).
thf(func_def_30,type,
vAND: $o > $o > $o ).
thf(func_def_31,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
vOR: $o > $o > $o ).
thf(func_def_33,type,
vIMP: $o > $o > $o ).
thf(func_def_34,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_35,type,
sF0: $o ).
thf(func_def_36,type,
sK1: $i > $i ).
thf(func_def_37,type,
sK2: $i > $i ).
thf(func_def_38,type,
sK3: $i > $i ).
thf(func_def_39,type,
sK4: $i > $i ).
thf(f1,axiom,
! [X0: $i] : ( irel @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',refl_axiom) ).
thf(f2,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ( ( irel @ X1 @ X2 )
& ( irel @ X0 @ X1 ) )
=> ( irel @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',trans_axiom) ).
thf(f3,axiom,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',mnot) ).
thf(f4,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',mor) ).
thf(f6,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',mimplies) ).
thf(f7,axiom,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',mbox_s4) ).
thf(f8,axiom,
( ( ^ [X0: $i > $o] : X0 )
= iatom ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',iatom) ).
thf(f13,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mbox_s4 @ X0 ) @ ( mbox_s4 @ X1 ) ) )
= ior ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',ior) ).
thf(f14,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mimplies @ ( mbox_s4 @ X0 ) @ ( mbox_s4 @ X1 ) ) )
= iimplies ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',iimplies) ).
thf(f18,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= ivalid ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax',ivalid) ).
thf(f22,axiom,
ivalid @ ( iimplies @ ( ior @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ f ) ) ) @ ( iatom @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).
thf(f23,conjecture,
ivalid @ ( iatom @ f ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f24,negated_conjecture,
~ ( ivalid @ ( iatom @ f ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
thf(f25,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= ivalid ),
inference(rectify,[],[f18]) ).
thf(f26,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f25]) ).
thf(f27,plain,
! [X0: $i] : ( irel @ X0 @ X0 ),
inference(rectify,[],[f1]) ).
thf(f28,plain,
! [X0: $i] :
( ( irel @ X0 @ X0 )
= $true ),
inference(fool_elimination,[],[f27]) ).
thf(f29,plain,
( ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f3]) ).
thf(f30,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f29]) ).
thf(f31,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f32,plain,
( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( irel @ X0 @ X2 )
& ( irel @ X1 @ X0 ) )
=> ( irel @ X1 @ X2 ) ),
inference(rectify,[],[f2]) ).
thf(f34,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( ( irel @ X0 @ X2 )
= $true )
& ( $true
= ( irel @ X1 @ X0 ) ) )
=> ( ( irel @ X1 @ X2 )
= $true ) ),
inference(fool_elimination,[],[f33]) ).
thf(f38,plain,
( ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) )
= mor ),
inference(rectify,[],[f4]) ).
thf(f39,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f38]) ).
thf(f40,plain,
( mbox_s4
= ( ^ [X0: $i > $o,X1: $i] :
! [X2: $i] :
( ( irel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f41,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f40]) ).
thf(f45,plain,
~ ( ivalid @ ( iatom @ f ) ),
inference(rectify,[],[f24]) ).
thf(f46,plain,
( ( ivalid @ ( iatom @ f ) )
!= $true ),
inference(fool_elimination,[],[f45]) ).
thf(f55,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(fool_elimination,[],[f8]) ).
thf(f56,plain,
ivalid @ ( iimplies @ ( ior @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ f ) ) ) @ ( iatom @ f ) ),
inference(rectify,[],[f22]) ).
thf(f57,plain,
( ( ivalid @ ( iimplies @ ( ior @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ f ) ) ) @ ( iatom @ f ) ) )
= $true ),
inference(fool_elimination,[],[f56]) ).
thf(f58,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mimplies @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f59,plain,
( ( ivalid @ ( iatom @ f ) )
!= $true ),
inference(flattening,[],[f46]) ).
thf(f60,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( irel @ X1 @ X2 )
= $true )
| ( ( irel @ X0 @ X2 )
!= $true )
| ( $true
!= ( irel @ X1 @ X0 ) ) ),
inference(ennf_transformation,[],[f34]) ).
thf(f61,plain,
! [X1: $i,X0: $i,X2: $i] :
( ( ( irel @ X0 @ X2 )
!= $true )
| ( $true
!= ( irel @ X1 @ X0 ) )
| ( ( irel @ X1 @ X2 )
= $true ) ),
inference(flattening,[],[f60]) ).
thf(f62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( irel @ X1 @ X2 )
!= $true )
| ( ( irel @ X0 @ X1 )
!= $true )
| ( ( irel @ X0 @ X2 )
= $true ) ),
inference(rectify,[],[f61]) ).
thf(f64,plain,
! [X0: $i] :
( ( irel @ X0 @ X0 )
= $true ),
inference(cnf_transformation,[],[f28]) ).
thf(f66,plain,
( ( ivalid @ ( iimplies @ ( ior @ ( iatom @ p1 ) @ ( iimplies @ ( iatom @ p1 ) @ ( iatom @ f ) ) ) @ ( iatom @ f ) ) )
= $true ),
inference(cnf_transformation,[],[f57]) ).
thf(f67,plain,
( ( ivalid @ ( iatom @ f ) )
!= $true ),
inference(cnf_transformation,[],[f59]) ).
thf(f69,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
!= $true )
| ( ( irel @ X0 @ X1 )
!= $true )
| ( ( irel @ X0 @ X2 )
= $true ) ),
inference(cnf_transformation,[],[f62]) ).
thf(f70,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f30]) ).
thf(f71,plain,
( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f73,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f41]) ).
thf(f75,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f31]) ).
thf(f77,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f78,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mimplies @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f84,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f85,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f88,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,[],[f75,f77,f70]) ).
thf(f92,plain,
( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f71,f77,f73,f73]) ).
thf(f93,plain,
( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) ) ) ),
inference(definition_unfolding,[],[f78,f88,f73,f73]) ).
thf(f97,plain,
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y3 @ Y4 )
| ( Y2 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ p1 )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o] :
( ^ [Y4: $i > $o,Y5: $i > $o,Y6: $i] :
( ( Y5 @ Y6 )
| ( Y4 @ Y6 ) )
@ ( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ Y2 )
@ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
( !! @ $i
@ ^ [Y4: $i] :
( ( irel @ Y3 @ Y4 )
=> ( Y2 @ Y4 ) ) )
@ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ p1 )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) ) )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) ) ) ),
inference(definition_unfolding,[],[f66,f85,f93,f92,f84,f93,f84,f84,f84]) ).
thf(f98,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) )
!= $true ),
inference(definition_unfolding,[],[f67,f85,f84]) ).
thf(f99,definition,
( sF0
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f100,plain,
( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) )
= sF0 ),
inference(reorient_equations,[],[f99]) ).
thf(f101,plain,
$true != sF0,
inference(definition_folding,[],[f98,f100]) ).
thf(f102,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( f @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f97]) ).
thf(f103,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( f @ Y3 ) ) )
| ~ ( !! @ $i
@ ^ [Y3: $i] :
( ( irel @ Y2 @ Y3 )
=> ( p1 @ Y3 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p1 @ Y2 ) ) ) ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f102]) ).
thf(f104,plain,
! [X1: $i] :
( $true
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f103]) ).
thf(f105,plain,
! [X1: $i] :
( ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) ) ) )
| ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f104]) ).
thf(f106,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) ) ) ) )
| ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) )
@ X2 )
= $true ) ),
inference(pi_proxy_clausification,[],[f105]) ).
thf(f107,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) )
@ X2 )
= $true )
| ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f106]) ).
thf(f108,plain,
! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( f @ Y0 ) )
@ X2 )
= $true )
| ( $false
= ( ^ [Y0: $i] :
( ( irel @ X1 @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( f @ Y2 ) ) )
| ~ ( !! @ $i
@ ^ [Y2: $i] :
( ( irel @ Y1 @ Y2 )
=> ( p1 @ Y2 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) )
@ ( sK1 @ X1 ) ) ) ),
inference(sigma_proxy_clausification,[],[f107]) ).
thf(f109,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( irel @ X1 @ ( sK1 @ X1 ) )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) ) ) ) ) )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( f @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f108]) ).
thf(f110,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) ) )
| ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) ) ) ) )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( f @ X2 ) ) ) ),
inference(imp_proxy_clausification,[],[f109]) ).
thf(f111,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( irel @ X1 @ X2 )
=> ( f @ X2 ) ) )
| ( $true
= ( irel @ X1 @ ( sK1 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f109]) ).
thf(f112,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( irel @ X1 @ ( sK1 @ X1 ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f111]) ).
thf(f113,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( irel @ X1 @ X2 )
=> ( f @ X2 ) ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) ) )
= $false ) ),
inference(or_proxy_clausification,[],[f110]) ).
thf(f114,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) ) ) )
| ( $true
= ( ( irel @ X1 @ X2 )
=> ( f @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f110]) ).
thf(f115,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( ( irel @ X1 @ X2 )
=> ( f @ X2 ) ) )
| ( $false
= ( ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) )
@ ( sK2 @ X1 ) ) ) ),
inference(sigma_proxy_clausification,[],[f114]) ).
thf(f116,plain,
! [X2: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( f @ Y1 ) ) )
| ~ ( !! @ $i
@ ^ [Y1: $i] :
( ( irel @ Y0 @ Y1 )
=> ( p1 @ Y1 ) ) ) ) )
@ ( sK2 @ X1 ) ) )
| ( $true
= ( f @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f115]) ).
thf(f117,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( f @ X2 ) )
| ( $false
= ( ( irel @ ( sK1 @ X1 ) @ ( sK2 @ X1 ) )
=> ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( f @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) ) ) ) ) )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f116]) ).
thf(f118,plain,
! [X2: $i,X1: $i] :
( ( ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( f @ Y0 ) ) )
| ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) ) ) )
= $false )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f117]) ).
thf(f120,plain,
! [X2: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) )
| ( $false
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f118]) ).
thf(f121,plain,
! [X2: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( f @ Y0 ) ) )
= $false )
| ( $true
= ( f @ X2 ) ) ),
inference(or_proxy_clausification,[],[f118]) ).
thf(f122,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( f @ X2 ) )
| ( ( ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( f @ Y0 ) )
@ ( sK3 @ X1 ) )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(sigma_proxy_clausification,[],[f121]) ).
thf(f123,plain,
! [X2: $i,X1: $i] :
( ( ( ( irel @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) )
=> ( f @ ( sK3 @ X1 ) ) )
= $false )
| ( $true
= ( f @ X2 ) )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f122]) ).
thf(f124,plain,
! [X2: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) )
| ( ( f @ ( sK3 @ X1 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f123]) ).
thf(f125,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( irel @ ( sK2 @ X1 ) @ ( sK3 @ X1 ) ) )
| ( $true
= ( f @ X2 ) )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f123]) ).
thf(f126,plain,
! [X2: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) ) ) ) ),
inference(not_proxy_clausification,[],[f120]) ).
thf(f127,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $true
= ( ^ [Y0: $i] :
( ( irel @ ( sK2 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) )
@ X3 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) ) ),
inference(pi_proxy_clausification,[],[f126]) ).
thf(f128,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) )
| ( $true
= ( ( irel @ ( sK2 @ X1 ) @ X3 )
=> ( p1 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f127]) ).
thf(f129,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( irel @ ( sK2 @ X1 ) @ X3 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( ( p1 @ X3 )
= $true )
| ( $true
= ( f @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f128]) ).
thf(f130,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( f @ X2 ) )
| ( ( !! @ $i
@ ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) ) )
= $false )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(imp_proxy_clausification,[],[f113]) ).
thf(f131,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( f @ X2 ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( irel @ ( sK1 @ X1 ) @ Y0 )
=> ( p1 @ Y0 ) )
@ ( sK4 @ X1 ) ) ) ),
inference(sigma_proxy_clausification,[],[f130]) ).
thf(f132,plain,
! [X2: $i,X1: $i] :
( ( ( ( irel @ ( sK1 @ X1 ) @ ( sK4 @ X1 ) )
=> ( p1 @ ( sK4 @ X1 ) ) )
= $false )
| ( $true
= ( f @ X2 ) )
| ( ( irel @ X1 @ X2 )
= $false ) ),
inference(beta-eta_normalization,[],[f131]) ).
thf(f133,plain,
! [X2: $i,X1: $i] :
( ( ( irel @ X1 @ X2 )
= $false )
| ( ( p1 @ ( sK4 @ X1 ) )
= $false )
| ( $true
= ( f @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f132]) ).
thf(f134,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( irel @ ( sK1 @ X1 ) @ ( sK4 @ X1 ) ) )
| ( ( irel @ X1 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) ) ),
inference(imp_proxy_clausification,[],[f132]) ).
thf(f136,plain,
( ( ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o] : Y0
@ f ) )
= $false )
| ( $true = sF0 ) ),
inference(iff_proxy_clausification,[],[f100]) ).
thf(f137,plain,
( ( $true = sF0 )
| ( $false
= ( !! @ $i @ f ) ) ),
inference(beta-eta_normalization,[],[f136]) ).
thf(f138,plain,
( ( $true = sF0 )
| ( $false
= ( f @ sK5 ) ) ),
inference(sigma_proxy_clausification,[],[f137]) ).
thf(f142,definition,
( spl6_1
<=> ( $false
= ( f @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
thf(f144,plain,
( ( $false
= ( f @ sK5 ) )
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f146,definition,
( spl6_2
<=> ( $true = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
thf(f149,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f138,f146,f142]) ).
thf(f155,definition,
( spl6_4
<=> ! [X1: $i] :
( $true
= ( f @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
thf(f156,plain,
( ! [X1: $i] :
( $true
= ( f @ X1 ) )
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f158,plain,
~ spl6_2,
inference(avatar_split_clause,[],[f101,f146]) ).
thf(f164,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( f @ X0 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $false ) ),
inference(superposition,[],[f124,f64]) ).
thf(f166,plain,
! [X0: $i] :
( ( ( f @ ( sK3 @ X0 ) )
= $false )
| ( $true
= ( f @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f194,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) )
| ( $true
= ( irel @ X1 @ ( sK4 @ X0 ) ) )
| ( $true
!= ( irel @ X1 @ ( sK1 @ X0 ) ) )
| ( $true != $true ) ),
inference(superposition,[],[f69,f134]) ).
thf(f197,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( irel @ X1 @ ( sK1 @ X0 ) ) )
| ( $true
= ( f @ X2 ) )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( irel @ X1 @ ( sK4 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f194]) ).
thf(f203,plain,
! [X0: $i,X1: $i] :
( ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $false )
| ( $true = $false )
| ( $true
= ( f @ X1 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( f @ ( sK3 @ X0 ) )
= $true ) ),
inference(superposition,[],[f125,f133]) ).
thf(f209,plain,
! [X0: $i,X1: $i] :
( ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $false )
| ( $true
= ( f @ X1 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( ( irel @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f203]) ).
thf(f351,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X2 )
= $false )
| ( ( irel @ X0 @ ( sK4 @ X0 ) )
= $true )
| ( $true
= ( f @ X1 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true != $true )
| ( $true
= ( f @ X2 ) ) ),
inference(superposition,[],[f197,f112]) ).
thf(f362,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ ( sK4 @ X0 ) )
= $true )
| ( $true
= ( f @ X1 ) )
| ( $true
= ( f @ X2 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f351]) ).
thf(f446,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( f @ X3 ) )
| ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $true )
| ( $true
= ( f @ X1 ) )
| ( $true = $false )
| ( $false
= ( irel @ ( sK2 @ X0 ) @ X2 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( f @ X2 ) )
| ( $false
= ( irel @ ( sK2 @ X0 ) @ X3 ) ) ),
inference(superposition,[],[f129,f362]) ).
thf(f450,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( irel @ ( sK2 @ X0 ) @ X3 ) )
| ( $true
= ( f @ X1 ) )
| ( $false
= ( irel @ ( sK2 @ X0 ) @ X2 ) )
| ( $true
= ( f @ X3 ) )
| ( $true
= ( f @ X2 ) )
| ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $true )
| ( ( irel @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f446]) ).
thf(f1629,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( f @ X1 ) )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( f @ X1 ) )
| ( $false
= ( irel @ ( sK2 @ X0 ) @ X1 ) )
| ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $true )
| ( $true
= ( f @ X2 ) )
| ( $false != $false ) ),
inference(equality_factoring,[],[f450]) ).
thf(f1649,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( f @ X2 ) )
| ( $true
= ( f @ X1 ) )
| ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $true )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $false
= ( irel @ ( sK2 @ X0 ) @ X1 ) )
| ( $false != $false ) ),
inference(duplicate_literal_removal,[],[f1629]) ).
thf(f1650,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $false
= ( irel @ ( sK2 @ X0 ) @ X1 ) )
| ( $true
= ( f @ X2 ) )
| ( $true
= ( f @ X1 ) )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1649]) ).
thf(f1654,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X2 )
= $false )
| ( $true = $false )
| ( $true
= ( f @ X2 ) )
| ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $true )
| ( $true
= ( f @ X1 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( ( irel @ X0 @ X1 )
= $false ) ),
inference(superposition,[],[f1650,f125]) ).
thf(f1691,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( p1 @ ( sK4 @ ( sK2 @ X0 ) ) )
= $true )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( $true
= ( f @ X1 ) )
| ( $true
= ( f @ X2 ) )
| ( ( irel @ X0 @ X2 )
= $false ) ),
inference(trivial_inequality_removal,[],[f1654]) ).
thf(f1890,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( $true
= ( f @ X3 ) )
| ( $true
= ( f @ X2 ) )
| ( ( irel @ X0 @ X2 )
= $false )
| ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( $false
= ( irel @ X0 @ X3 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( f @ X1 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true ) ),
inference(superposition,[],[f209,f1691]) ).
thf(f1893,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( f @ X1 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true = $false )
| ( $true
= ( f @ X2 ) )
| ( $true
= ( f @ X3 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( $false
= ( irel @ X0 @ X3 ) ) ),
inference(duplicate_literal_removal,[],[f1890]) ).
thf(f1894,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( irel @ X0 @ X3 ) )
| ( $true
= ( f @ X1 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( f @ X3 ) )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( f @ X2 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1893]) ).
thf(f2012,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( f @ X2 ) )
| ( $true
= ( f @ X1 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( f @ X1 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $false != $false ) ),
inference(equality_factoring,[],[f1894]) ).
thf(f2039,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( ( irel @ X0 @ X2 )
= $false )
| ( $false != $false )
| ( $true
= ( f @ X1 ) )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( f @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f2012]) ).
thf(f2040,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( irel @ X0 @ X2 )
= $false )
| ( $true
= ( f @ X1 ) )
| ( $true
= ( f @ X2 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( ( irel @ X0 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f2039]) ).
thf(f2099,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( f @ X1 ) )
| ( $false != $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( $true
= ( f @ X1 ) ) ),
inference(equality_factoring,[],[f2040]) ).
thf(f2121,plain,
! [X0: $i,X1: $i] :
( ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( $false != $false )
| ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( f @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f2099]) ).
thf(f2122,plain,
! [X0: $i,X1: $i] :
( ( ( irel @ X0 @ X1 )
= $false )
| ( $true
= ( f @ X1 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2121]) ).
thf(f2155,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( f @ X0 ) )
| ( ( f @ ( sK3 @ X0 ) )
= $true ) ),
inference(superposition,[],[f64,f2122]) ).
thf(f2190,plain,
! [X0: $i] :
( ( ( f @ ( sK3 @ X0 ) )
= $true )
| ( $true
= ( f @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f2155]) ).
thf(f2274,plain,
! [X0: $i] :
( ( $true = $false )
| ( $true
= ( f @ X0 ) )
| ( $true
= ( f @ X0 ) ) ),
inference(superposition,[],[f2190,f166]) ).
thf(f2285,plain,
! [X0: $i] :
( ( $true
= ( f @ X0 ) )
| ( $true = $false ) ),
inference(duplicate_literal_removal,[],[f2274]) ).
thf(f2286,plain,
! [X0: $i] :
( $true
= ( f @ X0 ) ),
inference(trivial_inequality_removal,[],[f2285]) ).
thf(f2296,plain,
spl6_4,
inference(avatar_split_clause,[],[f2286,f155]) ).
thf(f2297,plain,
( ( $true = $false )
| ~ spl6_1
| ~ spl6_4 ),
inference(superposition,[],[f156,f144]) ).
thf(f2314,plain,
( $false
| ~ spl6_1
| ~ spl6_4 ),
inference(trivial_inequality_removal,[],[f2297]) ).
thf(f2315,plain,
( ~ spl6_1
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f2314]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f149]) ).
cnf(s3,plain,
~ spl6_2,
inference(sat_conversion,[],[f158]) ).
cnf(s4,plain,
spl6_4,
inference(sat_conversion,[],[f2296]) ).
cnf(s7,plain,
( ~ spl6_1
| ~ spl6_4 ),
inference(sat_conversion,[],[f2315]) ).
cnf(s8,plain,
~ spl6_1,
inference(rat,[],[s7,s4]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s3,s8]) ).
thf(f2323,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO067^4.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n010.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % 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 16:28:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.35 % (3086583)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.35 % (3086594)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.35 % (3086594)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
% 0.21/0.35 % (3086594)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=2383619037:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.35 % (3086588)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3403287315:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.35 % (3086589)lrs+10_16_si=on:nwc=1.5:random_seed=1256720398:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.35 % (3086590)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1460490080:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.35 % (3086593)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3921363223:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.35 % (3086591)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=1917839318: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)
% 0.21/0.35 % (3086592)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1357837458:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.35 % (3086590)Instruction limit reached!
% 0.21/0.35 % (3086590)------------------------------
% 0.21/0.35 % (3086590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3086590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3086590)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3086590)Termination reason: Instruction limit
% 0.21/0.35 % (3086590)Termination phase: Saturation
% 0.21/0.35 % (3086590)Time elapsed: 0.002 s
% 0.21/0.35 % (3086590)Peak memory usage: 10 MB
% 0.21/0.35 % (3086590)Instructions burned: 4 (million)
% 0.21/0.35 % (3086589)Instruction limit reached!
% 0.21/0.35 % (3086589)------------------------------
% 0.21/0.35 % (3086589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3086589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3086589)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3086589)Termination reason: Instruction limit
% 0.21/0.35 % (3086589)Termination phase: Saturation
% 0.21/0.35 % (3086589)Time elapsed: 0.009 s
% 0.21/0.35 % (3086589)Peak memory usage: 12 MB
% 0.21/0.35 % (3086589)Instructions burned: 18 (million)
% 0.21/0.35 % (3086592)Instruction limit reached!
% 0.21/0.35 % (3086592)------------------------------
% 0.21/0.35 % (3086592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3086592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3086592)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3086592)Termination reason: Instruction limit
% 0.21/0.35 % (3086592)Termination phase: Saturation
% 0.21/0.35 % (3086592)Time elapsed: 0.014 s
% 0.21/0.35 % (3086592)Peak memory usage: 11 MB
% 0.21/0.35 % (3086592)Instructions burned: 25 (million)
% 0.21/0.35 % (3086602)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2559864265:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (3086602)Instruction limit reached!
% 0.21/0.35 % (3086602)------------------------------
% 0.21/0.35 % (3086602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (3086602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (3086602)CaDiCaL version: 2.1.3
% 0.21/0.35 % (3086602)Termination reason: Instruction limit
% 0.21/0.35 % (3086602)Termination phase: Saturation
% 0.21/0.35 % (3086602)Time elapsed: 0.002 s
% 0.21/0.35 % (3086602)Peak memory usage: 11 MB
% 0.21/0.35 % (3086602)Instructions burned: 4 (million)
% 0.21/0.35 % (3086603)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3730216396:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.80/0.37 % (3086604)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.80/0.37 % (3086603)Instruction limit reached!
% 0.80/0.37 % (3086603)------------------------------
% 0.80/0.37 % (3086603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.37 % (3086603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.37 % (3086603)CaDiCaL version: 2.1.3
% 0.80/0.37 % (3086603)Termination reason: Instruction limit
% 0.80/0.37 % (3086603)Termination phase: Saturation
% 0.80/0.37 % (3086603)Time elapsed: 0.002 s
% 0.80/0.37 % (3086603)Peak memory usage: 11 MB
% 0.80/0.37 % (3086603)Instructions burned: 5 (million)
% 0.80/0.37 % (3086594)Instruction limit reached!
% 0.80/0.37 % (3086594)------------------------------
% 0.80/0.37 % (3086594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.37 % (3086594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.37 % (3086594)CaDiCaL version: 2.1.3
% 0.80/0.37 % (3086594)Termination reason: Instruction limit
% 0.80/0.37 % (3086594)Termination phase: Saturation
% 0.80/0.37 % (3086594)Time elapsed: 0.040 s
% 0.80/0.37 % (3086594)Peak memory usage: 12 MB
% 0.80/0.37 % (3086594)Instructions burned: 161 (million)
% 0.80/0.37 % (3086604)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3394876002:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.80/0.37 % (3086604)Instruction limit reached!
% 0.80/0.37 % (3086604)------------------------------
% 0.80/0.37 % (3086604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.37 % (3086604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.37 % (3086604)CaDiCaL version: 2.1.3
% 0.80/0.37 % (3086604)Termination reason: Instruction limit
% 0.80/0.37 % (3086604)Termination phase: Saturation
% 0.80/0.37 % (3086604)Time elapsed: 0.004 s
% 0.80/0.37 % (3086604)Peak memory usage: 12 MB
% 0.80/0.37 % (3086604)Instructions burned: 8 (million)
% 0.80/0.37 % (3086593)Instruction limit reached!
% 0.80/0.37 % (3086593)------------------------------
% 0.80/0.37 % (3086593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.38 % (3086593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.38 % (3086593)CaDiCaL version: 2.1.3
% 0.80/0.38 % (3086593)Termination reason: Instruction limit
% 0.80/0.38 % (3086593)Termination phase: Saturation
% 0.80/0.38 % (3086593)Time elapsed: 0.039 s
% 0.80/0.38 % (3086593)Peak memory usage: 12 MB
% 0.80/0.38 % (3086593)Instructions burned: 76 (million)
% 0.80/0.38 % (3086588)Instruction limit reached!
% 0.80/0.38 % (3086588)------------------------------
% 0.80/0.38 % (3086588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.38 % (3086588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.38 % (3086588)CaDiCaL version: 2.1.3
% 0.80/0.38 % (3086588)Termination reason: Instruction limit
% 0.80/0.38 % (3086588)Termination phase: Saturation
% 0.80/0.38 % (3086588)Time elapsed: 0.041 s
% 0.80/0.38 % (3086588)Peak memory usage: 12 MB
% 0.80/0.38 % (3086588)Instructions burned: 87 (million)
% 0.80/0.38 % (3086606)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=589433337:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.80/0.38 % (3086609)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=1269103399:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.80/0.38 % (3086608)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
% 0.80/0.38 % (3086608)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.80/0.38 % (3086606)Instruction limit reached!
% 0.80/0.38 % (3086606)------------------------------
% 0.80/0.38 % (3086606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.38 % (3086606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.38 % (3086606)CaDiCaL version: 2.1.3
% 0.80/0.38 % (3086606)Termination reason: Instruction limit
% 0.80/0.41 % (3086606)Termination phase: Saturation
% 0.80/0.41 % (3086606)Time elapsed: 0.007 s
% 0.80/0.41 % (3086606)Peak memory usage: 12 MB
% 0.80/0.41 % (3086606)Instructions burned: 13 (million)
% 0.80/0.41 % (3086608)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2577338190:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.80/0.41 % (3086612)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.80/0.41 % (3086611)lrs+10_1_si=on:cs=on:random_seed=29016832:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.80/0.41 % (3086612)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=2043268761:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.80/0.41 % (3086614)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3875063419:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.80/0.41 % (3086611)Instruction limit reached!
% 0.80/0.41 % (3086611)------------------------------
% 0.80/0.41 % (3086611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3086611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3086611)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3086611)Termination reason: Instruction limit
% 0.80/0.41 % (3086611)Termination phase: Saturation
% 0.80/0.41 % (3086611)Time elapsed: 0.004 s
% 0.80/0.41 % (3086611)Peak memory usage: 11 MB
% 0.80/0.41 % (3086611)Instructions burned: 8 (million)
% 0.80/0.41 % (3086612)Instruction limit reached!
% 0.80/0.41 % (3086612)------------------------------
% 0.80/0.41 % (3086612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3086612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3086612)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3086612)Termination reason: Instruction limit
% 0.80/0.41 % (3086612)Termination phase: Saturation
% 0.80/0.41 % (3086612)Time elapsed: 0.003 s
% 0.80/0.41 % (3086612)Peak memory usage: 11 MB
% 0.80/0.41 % (3086612)Instructions burned: 6 (million)
% 0.80/0.41 % (3086614)Refutation not found, incomplete strategy
% 0.80/0.41 % (3086614)------------------------------
% 0.80/0.41 % (3086614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3086614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3086614)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3086614)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.41 % (3086614)Time elapsed: 0.002 s
% 0.80/0.41 % (3086614)Peak memory usage: 12 MB
% 0.80/0.41 % (3086614)Instructions burned: 2 (million)
% 0.80/0.41 % (3086614)------------------------------
% 0.80/0.41 % (3086614)------------------------------
% 0.80/0.41 % (3086609)Instruction limit reached!
% 0.80/0.41 % (3086609)------------------------------
% 0.80/0.41 % (3086609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3086609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3086609)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3086609)Termination reason: Instruction limit
% 0.80/0.41 % (3086609)Termination phase: Saturation
% 0.80/0.41 % (3086609)Time elapsed: 0.022 s
% 0.80/0.41 % (3086609)Peak memory usage: 12 MB
% 0.80/0.41 % (3086609)Instructions burned: 90 (million)
% 0.80/0.41 % (3086608)Instruction limit reached!
% 0.80/0.41 % (3086608)------------------------------
% 0.80/0.41 % (3086608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3086608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3086608)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3086608)Termination reason: Instruction limit
% 0.80/0.41 % (3086608)Termination phase: Saturation
% 0.80/0.41 % (3086608)Time elapsed: 0.016 s
% 0.80/0.41 % (3086608)Peak memory usage: 12 MB
% 0.80/0.41 % (3086608)Instructions burned: 29 (million)
% 0.80/0.41 % (3086616)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1415059088:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.80/0.41 % (3086616)Refutation not found, incomplete strategy
% 0.80/0.41 % (3086616)------------------------------
% 0.80/0.41 % (3086616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3086616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.44 % (3086616)CaDiCaL version: 2.1.3
% 0.80/0.44 % (3086616)Termination reason: Refutation not found, incomplete strategy
% 0.80/0.44 % (3086616)Time elapsed: 0.002 s
% 0.80/0.44 % (3086616)Peak memory usage: 12 MB
% 0.80/0.44 % (3086616)Instructions burned: 3 (million)
% 0.80/0.44 % (3086616)------------------------------
% 0.80/0.44 % (3086616)------------------------------
% 0.80/0.44 % (3086624)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3125938902:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.80/0.44 % (3086621)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3950653729:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.80/0.44 % (3086622)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3925579446:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.80/0.44 % (3086624)Instruction limit reached!
% 0.80/0.44 % (3086624)------------------------------
% 0.80/0.44 % (3086624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.44 % (3086624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.44 % (3086624)CaDiCaL version: 2.1.3
% 0.80/0.44 % (3086624)Termination reason: Instruction limit
% 0.80/0.44 % (3086624)Termination phase: Saturation
% 0.80/0.44 % (3086624)Time elapsed: 0.004 s
% 0.80/0.44 % (3086624)Peak memory usage: 12 MB
% 0.80/0.44 % (3086624)Instructions burned: 16 (million)
% 0.80/0.44 % (3086623)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1373036004:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.80/0.44 % (3086625)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4188512450:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.80/0.44 % (3086622)Instruction limit reached!
% 0.80/0.44 % (3086622)------------------------------
% 0.80/0.44 % (3086622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.44 % (3086622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.44 % (3086622)CaDiCaL version: 2.1.3
% 0.80/0.44 % (3086622)Termination reason: Instruction limit
% 0.80/0.44 % (3086622)Termination phase: Saturation
% 0.80/0.44 % (3086622)Time elapsed: 0.008 s
% 0.80/0.44 % (3086622)Peak memory usage: 12 MB
% 0.80/0.44 % (3086622)Instructions burned: 15 (million)
% 0.80/0.44 % (3086625)Instruction limit reached!
% 0.80/0.44 % (3086625)------------------------------
% 0.80/0.44 % (3086625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.44 % (3086625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.44 % (3086625)CaDiCaL version: 2.1.3
% 0.80/0.44 % (3086625)Termination reason: Instruction limit
% 0.80/0.44 % (3086625)Termination phase: Property scanning
% 0.80/0.44 % (3086625)Time elapsed: 0.002 s
% 0.80/0.44 % (3086625)Peak memory usage: 11 MB
% 0.80/0.44 % (3086625)Instructions burned: 4 (million)
% 0.80/0.44 % (3086631)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=411855779:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.80/0.44 % (3086627)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3933336491:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.80/0.44 % (3086621)Instruction limit reached!
% 0.80/0.44 % (3086621)------------------------------
% 0.80/0.44 % (3086621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.44 % (3086621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.44 % (3086621)CaDiCaL version: 2.1.3
% 0.80/0.44 % (3086621)Termination reason: Instruction limit
% 0.80/0.44 % (3086621)Termination phase: Saturation
% 0.80/0.44 % (3086621)Time elapsed: 0.015 s
% 0.80/0.44 % (3086621)Peak memory usage: 12 MB
% 0.80/0.44 % (3086621)Instructions burned: 26 (million)
% 0.80/0.44 % (3086631)Instruction limit reached!
% 0.80/0.44 % (3086631)------------------------------
% 0.80/0.44 % (3086631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.44 % (3086631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.44 % (3086631)CaDiCaL version: 2.1.3
% 0.80/0.44 % (3086631)Termination reason: Instruction limit
% 1.54/0.48 % (3086631)Termination phase: Saturation
% 1.54/0.48 % (3086631)Time elapsed: 0.006 s
% 1.54/0.48 % (3086631)Peak memory usage: 11 MB
% 1.54/0.48 % (3086631)Instructions burned: 24 (million)
% 1.54/0.48 % (3086635)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
% 1.54/0.48 % (3086635)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.54/0.48 % (3086634)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4142147115:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.54/0.48 % (3086627)Instruction limit reached!
% 1.54/0.48 % (3086627)------------------------------
% 1.54/0.48 % (3086627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.48 % (3086627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.48 % (3086627)CaDiCaL version: 2.1.3
% 1.54/0.48 % (3086627)Termination reason: Instruction limit
% 1.54/0.48 % (3086627)Termination phase: Saturation
% 1.54/0.48 % (3086627)Time elapsed: 0.015 s
% 1.54/0.48 % (3086627)Peak memory usage: 12 MB
% 1.54/0.48 % (3086627)Instructions burned: 28 (million)
% 1.54/0.48 % (3086635)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=3386782317:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.54/0.48 % (3086639)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=791459842:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.54/0.48 % (3086638)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.54/0.48 % (3086638)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=1045438380:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.54/0.48 % (3086635)Instruction limit reached!
% 1.54/0.48 % (3086635)------------------------------
% 1.54/0.48 % (3086635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.48 % (3086635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.48 % (3086635)CaDiCaL version: 2.1.3
% 1.54/0.48 % (3086635)Termination reason: Instruction limit
% 1.54/0.48 % (3086635)Termination phase: Saturation
% 1.54/0.48 % (3086635)Time elapsed: 0.008 s
% 1.54/0.48 % (3086635)Peak memory usage: 12 MB
% 1.54/0.48 % (3086635)Instructions burned: 15 (million)
% 1.54/0.48 % (3086639)Instruction limit reached!
% 1.54/0.48 % (3086639)------------------------------
% 1.54/0.48 % (3086639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.48 % (3086639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.48 % (3086639)CaDiCaL version: 2.1.3
% 1.54/0.48 % (3086639)Termination reason: Instruction limit
% 1.54/0.48 % (3086639)Termination phase: Saturation
% 1.54/0.48 % (3086639)Time elapsed: 0.009 s
% 1.54/0.48 % (3086639)Peak memory usage: 12 MB
% 1.54/0.48 % (3086639)Instructions burned: 32 (million)
% 1.54/0.49 % (3086638)Instruction limit reached!
% 1.54/0.49 % (3086638)------------------------------
% 1.54/0.49 % (3086638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.49 % (3086638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.49 % (3086638)CaDiCaL version: 2.1.3
% 1.54/0.49 % (3086638)Termination reason: Instruction limit
% 1.54/0.49 % (3086638)Termination phase: Saturation
% 1.54/0.49 % (3086638)Time elapsed: 0.005 s
% 1.54/0.49 % (3086638)Peak memory usage: 12 MB
% 1.54/0.49 % (3086638)Instructions burned: 9 (million)
% 1.54/0.49 % (3086643)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2849634839:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.54/0.49 % (3086646)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1844146395:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.54/0.49 % (3086643)Instruction limit reached!
% 1.54/0.49 % (3086643)------------------------------
% 1.54/0.49 % (3086643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (3086643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (3086643)CaDiCaL version: 2.1.3
% 1.54/0.53 % (3086643)Termination reason: Instruction limit
% 1.54/0.53 % (3086643)Termination phase: Saturation
% 1.54/0.53 % (3086643)Time elapsed: 0.004 s
% 1.54/0.53 % (3086643)Peak memory usage: 12 MB
% 1.54/0.53 % (3086643)Instructions burned: 7 (million)
% 1.54/0.53 % (3086645)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=352999880:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.54/0.53 % (3086646)Instruction limit reached!
% 1.54/0.53 % (3086646)------------------------------
% 1.54/0.53 % (3086646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (3086646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (3086646)CaDiCaL version: 2.1.3
% 1.54/0.53 % (3086646)Termination reason: Instruction limit
% 1.54/0.53 % (3086646)Termination phase: Saturation
% 1.54/0.53 % (3086646)Time elapsed: 0.007 s
% 1.54/0.53 % (3086646)Peak memory usage: 12 MB
% 1.54/0.53 % (3086646)Instructions burned: 23 (million)
% 1.54/0.53 % (3086647)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2880745071:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.54/0.53 % (3086634)Instruction limit reached!
% 1.54/0.53 % (3086634)------------------------------
% 1.54/0.53 % (3086634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (3086634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (3086634)CaDiCaL version: 2.1.3
% 1.54/0.53 % (3086634)Termination reason: Instruction limit
% 1.54/0.53 % (3086634)Termination phase: Saturation
% 1.54/0.53 % (3086634)Time elapsed: 0.031 s
% 1.54/0.53 % (3086634)Peak memory usage: 12 MB
% 1.54/0.53 % (3086634)Instructions burned: 60 (million)
% 1.54/0.53 % (3086645)Instruction limit reached!
% 1.54/0.53 % (3086645)------------------------------
% 1.54/0.53 % (3086645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (3086645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (3086645)CaDiCaL version: 2.1.3
% 1.54/0.53 % (3086645)Termination reason: Instruction limit
% 1.54/0.53 % (3086645)Termination phase: Saturation
% 1.54/0.53 % (3086645)Time elapsed: 0.010 s
% 1.54/0.53 % (3086645)Peak memory usage: 11 MB
% 1.54/0.53 % (3086645)Instructions burned: 23 (million)
% 1.54/0.53 % (3086652)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2785448856:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.54/0.53 % (3086652)Refutation not found, incomplete strategy
% 1.54/0.53 % (3086652)------------------------------
% 1.54/0.53 % (3086652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (3086652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (3086652)CaDiCaL version: 2.1.3
% 1.54/0.53 % (3086652)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.53 % (3086652)Time elapsed: 0.001 s
% 1.54/0.53 % (3086652)Peak memory usage: 12 MB
% 1.54/0.53 % (3086652)Instructions burned: 4 (million)
% 1.54/0.53 % (3086652)------------------------------
% 1.54/0.53 % (3086652)------------------------------
% 1.54/0.53 % (3086650)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3541626481:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.54/0.53 % (3086657)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2501598187:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.54/0.53 % (3086654)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3707622258:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.54/0.53 % (3086657)Refutation not found, incomplete strategy
% 1.54/0.53 % (3086657)------------------------------
% 1.54/0.53 % (3086657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.54/0.53 % (3086657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/0.53 % (3086657)CaDiCaL version: 2.1.3
% 1.54/0.53 % (3086657)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.53 % (3086657)Time elapsed: 0.001 s
% 1.54/0.53 % (3086657)Peak memory usage: 12 MB
% 1.54/0.53 % (3086657)Instructions burned: 2 (million)
% 1.54/0.53 % (3086657)------------------------------
% 1.54/0.53 % (3086657)------------------------------
% 2.24/0.58 % (3086656)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.24/0.58 % (3086656)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3247653608:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.24/0.58 % (3086656)Instruction limit reached!
% 2.24/0.58 % (3086656)------------------------------
% 2.24/0.58 % (3086656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (3086656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (3086656)CaDiCaL version: 2.1.3
% 2.24/0.58 % (3086656)Termination reason: Instruction limit
% 2.24/0.58 % (3086656)Termination phase: Saturation
% 2.24/0.58 % (3086656)Time elapsed: 0.004 s
% 2.24/0.58 % (3086656)Peak memory usage: 12 MB
% 2.24/0.58 % (3086656)Instructions burned: 8 (million)
% 2.24/0.58 % (3086661)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=2726784972:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 2.24/0.58 % (3086661)Refutation not found, incomplete strategy
% 2.24/0.58 % (3086661)------------------------------
% 2.24/0.58 % (3086661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (3086661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (3086661)CaDiCaL version: 2.1.3
% 2.24/0.58 % (3086661)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.58 % (3086661)Time elapsed: 0.001 s
% 2.24/0.58 % (3086661)Peak memory usage: 12 MB
% 2.24/0.58 % (3086661)Instructions burned: 5 (million)
% 2.24/0.58 % (3086661)------------------------------
% 2.24/0.58 % (3086661)------------------------------
% 2.24/0.58 % (3086665)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2811766628:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.24/0.58 % (3086663)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.24/0.58 % (3086654)Instruction limit reached!
% 2.24/0.58 % (3086654)------------------------------
% 2.24/0.58 % (3086654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (3086654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (3086654)CaDiCaL version: 2.1.3
% 2.24/0.58 % (3086654)Termination reason: Instruction limit
% 2.24/0.58 % (3086654)Termination phase: Saturation
% 2.24/0.58 % (3086654)Time elapsed: 0.025 s
% 2.24/0.58 % (3086654)Peak memory usage: 12 MB
% 2.24/0.58 % (3086654)Instructions burned: 42 (million)
% 2.24/0.58 % (3086663)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2628838555:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.24/0.58 % (3086665)Instruction limit reached!
% 2.24/0.58 % (3086665)------------------------------
% 2.24/0.58 % (3086665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (3086665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (3086665)CaDiCaL version: 2.1.3
% 2.24/0.58 % (3086665)Termination reason: Instruction limit
% 2.24/0.58 % (3086665)Termination phase: Saturation
% 2.24/0.58 % (3086665)Time elapsed: 0.006 s
% 2.24/0.58 % (3086665)Peak memory usage: 12 MB
% 2.24/0.58 % (3086665)Instructions burned: 25 (million)
% 2.24/0.58 % (3086663)Instruction limit reached!
% 2.24/0.58 % (3086663)------------------------------
% 2.24/0.58 % (3086663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.58 % (3086663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.58 % (3086663)CaDiCaL version: 2.1.3
% 2.24/0.58 % (3086663)Termination reason: Instruction limit
% 2.24/0.58 % (3086663)Termination phase: Saturation
% 2.24/0.58 % (3086663)Time elapsed: 0.003 s
% 2.24/0.58 % (3086663)Peak memory usage: 12 MB
% 2.24/0.58 % (3086663)Instructions burned: 6 (million)
% 2.24/0.58 % (3086667)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1661886223:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.24/0.58 % (3086669)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=1899208081:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.65/0.64 % (3086667)Refutation not found, incomplete strategy
% 2.65/0.64 % (3086667)------------------------------
% 2.65/0.64 % (3086667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.64 % (3086667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.64 % (3086667)CaDiCaL version: 2.1.3
% 2.65/0.64 % (3086667)Termination reason: Refutation not found, incomplete strategy
% 2.65/0.64 % (3086667)Time elapsed: 0.003 s
% 2.65/0.64 % (3086667)Peak memory usage: 12 MB
% 2.65/0.64 % (3086667)Instructions burned: 6 (million)
% 2.65/0.64 % (3086667)------------------------------
% 2.65/0.64 % (3086667)------------------------------
% 2.65/0.64 % (3086670)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=1321524896: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)
% 2.65/0.64 % (3086591)Instruction limit reached!
% 2.65/0.64 % (3086591)------------------------------
% 2.65/0.64 % (3086591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.64 % (3086591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.64 % (3086591)CaDiCaL version: 2.1.3
% 2.65/0.64 % (3086591)Termination reason: Instruction limit
% 2.65/0.64 % (3086591)Termination phase: Saturation
% 2.65/0.64 % (3086591)Time elapsed: 0.211 s
% 2.65/0.64 % (3086591)Peak memory usage: 12 MB
% 2.65/0.64 % (3086591)Instructions burned: 637 (million)
% 2.65/0.64 % (3086650)Instruction limit reached!
% 2.65/0.64 % (3086650)------------------------------
% 2.65/0.64 % (3086650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.64 % (3086650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.64 % (3086650)CaDiCaL version: 2.1.3
% 2.65/0.64 % (3086650)Termination reason: Instruction limit
% 2.65/0.64 % (3086650)Termination phase: Saturation
% 2.65/0.64 % (3086650)Time elapsed: 0.067 s
% 2.65/0.64 % (3086650)Peak memory usage: 12 MB
% 2.65/0.64 % (3086650)Instructions burned: 143 (million)
% 2.65/0.64 % (3086674)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=3402360356: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)
% 2.65/0.64 % (3086675)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1855762936:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.65/0.64 % (3086623)Instruction limit reached!
% 2.65/0.64 % (3086623)------------------------------
% 2.65/0.64 % (3086623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.64 % (3086623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.64 % (3086623)CaDiCaL version: 2.1.3
% 2.65/0.64 % (3086623)Termination reason: Instruction limit
% 2.65/0.64 % (3086623)Termination phase: Saturation
% 2.65/0.64 % (3086623)Time elapsed: 0.148 s
% 2.65/0.64 % (3086623)Peak memory usage: 13 MB
% 2.65/0.64 % (3086623)Instructions burned: 328 (million)
% 2.65/0.64 % (3086675)Refutation not found, incomplete strategy
% 2.65/0.64 % (3086675)------------------------------
% 2.65/0.64 % (3086675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.64 % (3086675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.64 % (3086675)CaDiCaL version: 2.1.3
% 2.65/0.64 % (3086675)Termination reason: Refutation not found, incomplete strategy
% 2.65/0.64 % (3086675)Time elapsed: 0.002 s
% 2.65/0.64 % (3086675)Peak memory usage: 12 MB
% 2.65/0.64 % (3086675)Instructions burned: 4 (million)
% 2.65/0.64 % (3086675)------------------------------
% 2.65/0.64 % (3086675)------------------------------
% 2.65/0.64 % (3086676)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2107517354: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)
% 2.65/0.64 % (3086679)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.65/0.64 % (3086676)Instruction limit reached!
% 2.65/0.64 % (3086676)------------------------------
% 2.65/0.68 % (3086676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.68 % (3086676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.68 % (3086676)CaDiCaL version: 2.1.3
% 2.65/0.68 % (3086676)Termination reason: Instruction limit
% 2.65/0.68 % (3086676)Termination phase: Saturation
% 2.65/0.68 % (3086676)Time elapsed: 0.011 s
% 2.65/0.68 % (3086676)Peak memory usage: 12 MB
% 2.65/0.68 % (3086676)Instructions burned: 22 (million)
% 2.65/0.68 % (3086679)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=970392670:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.65/0.68 % (3086680)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2225886057:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.65/0.68 % (3086674)Instruction limit reached!
% 2.65/0.68 % (3086674)------------------------------
% 2.65/0.68 % (3086674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.68 % (3086674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.68 % (3086674)CaDiCaL version: 2.1.3
% 2.65/0.68 % (3086674)Termination reason: Instruction limit
% 2.65/0.68 % (3086674)Termination phase: Saturation
% 2.65/0.68 % (3086674)Time elapsed: 0.028 s
% 2.65/0.68 % (3086674)Peak memory usage: 12 MB
% 2.65/0.68 % (3086674)Instructions burned: 48 (million)
% 2.65/0.68 % (3086680)Instruction limit reached!
% 2.65/0.68 % (3086680)------------------------------
% 2.65/0.68 % (3086680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.68 % (3086680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.68 % (3086680)CaDiCaL version: 2.1.3
% 2.65/0.68 % (3086680)Termination reason: Instruction limit
% 2.65/0.68 % (3086680)Termination phase: Saturation
% 2.65/0.68 % (3086680)Time elapsed: 0.009 s
% 2.65/0.68 % (3086680)Peak memory usage: 12 MB
% 2.65/0.68 % (3086680)Instructions burned: 14 (million)
% 2.65/0.68 % (3086682)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=1730235354:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.65/0.68 % (3086685)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2544715981:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.65/0.68 % (3086685)Refutation not found, incomplete strategy
% 2.65/0.68 % (3086685)------------------------------
% 2.65/0.68 % (3086685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.68 % (3086685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.68 % (3086685)CaDiCaL version: 2.1.3
% 2.65/0.68 % (3086685)Termination reason: Refutation not found, incomplete strategy
% 2.65/0.68 % (3086685)Time elapsed: 0.003 s
% 2.65/0.68 % (3086685)Peak memory usage: 12 MB
% 2.65/0.68 % (3086685)Instructions burned: 6 (million)
% 2.65/0.68 % (3086685)------------------------------
% 2.65/0.68 % (3086685)------------------------------
% 2.65/0.68 % (3086686)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3873742793:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.65/0.68 % (3086686)Instruction limit reached!
% 2.65/0.68 % (3086686)------------------------------
% 2.65/0.68 % (3086686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.68 % (3086686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.68 % (3086689)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1579427458:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.65/0.68 % (3086686)CaDiCaL version: 2.1.3
% 2.65/0.68 % (3086686)Termination reason: Instruction limit
% 2.65/0.68 % (3086686)Termination phase: Saturation
% 2.65/0.68 % (3086686)Time elapsed: 0.016 s
% 2.65/0.68 % (3086686)Peak memory usage: 12 MB
% 2.65/0.68 % (3086686)Instructions burned: 33 (million)
% 2.65/0.68 % (3086682)Instruction limit reached!
% 2.65/0.68 % (3086682)------------------------------
% 2.65/0.68 % (3086682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.65/0.68 % (3086682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.68 % (3086682)CaDiCaL version: 2.1.3
% 2.65/0.68 % (3086682)Termination reason: Instruction limit
% 3.11/0.76 % (3086682)Termination phase: Saturation
% 3.11/0.76 % (3086682)Time elapsed: 0.034 s
% 3.11/0.76 % (3086682)Peak memory usage: 12 MB
% 3.11/0.76 % (3086682)Instructions burned: 68 (million)
% 3.11/0.76 % (3086669)Instruction limit reached!
% 3.11/0.76 % (3086669)------------------------------
% 3.11/0.76 % (3086669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086669)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086669)Termination reason: Instruction limit
% 3.11/0.76 % (3086669)Termination phase: Saturation
% 3.11/0.76 % (3086669)Time elapsed: 0.104 s
% 3.11/0.76 % (3086669)Peak memory usage: 13 MB
% 3.11/0.76 % (3086669)Instructions burned: 319 (million)
% 3.11/0.76 % (3086692)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2770024394:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.11/0.76 % (3086693)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4047968368:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.11/0.76 % (3086694)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.11/0.76 % (3086694)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1443153606:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.11/0.76 % (3086693)Refutation not found, incomplete strategy
% 3.11/0.76 % (3086693)------------------------------
% 3.11/0.76 % (3086693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086693)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086693)Termination reason: Refutation not found, incomplete strategy
% 3.11/0.76 % (3086693)Time elapsed: 0.003 s
% 3.11/0.76 % (3086693)Peak memory usage: 12 MB
% 3.11/0.76 % (3086693)Instructions burned: 6 (million)
% 3.11/0.76 % (3086693)------------------------------
% 3.11/0.76 % (3086693)------------------------------
% 3.11/0.76 % (3086692)Instruction limit reached!
% 3.11/0.76 % (3086692)------------------------------
% 3.11/0.76 % (3086692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086692)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086692)Termination reason: Instruction limit
% 3.11/0.76 % (3086692)Termination phase: Saturation
% 3.11/0.76 % (3086692)Time elapsed: 0.017 s
% 3.11/0.76 % (3086692)Peak memory usage: 12 MB
% 3.11/0.76 % (3086692)Instructions burned: 34 (million)
% 3.11/0.76 % (3086698)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2489872562:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.11/0.76 % (3086679)Instruction limit reached!
% 3.11/0.76 % (3086679)------------------------------
% 3.11/0.76 % (3086679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086679)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086679)Termination reason: Instruction limit
% 3.11/0.76 % (3086679)Termination phase: Saturation
% 3.11/0.76 % (3086679)Time elapsed: 0.093 s
% 3.11/0.76 % (3086679)Peak memory usage: 12 MB
% 3.11/0.76 % (3086679)Instructions burned: 200 (million)
% 3.11/0.76 % (3086698)Refutation not found, incomplete strategy
% 3.11/0.76 % (3086698)------------------------------
% 3.11/0.76 % (3086698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086698)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086698)Termination reason: Refutation not found, incomplete strategy
% 3.11/0.76 % (3086698)Time elapsed: 0.003 s
% 3.11/0.76 % (3086698)Peak memory usage: 12 MB
% 3.11/0.76 % (3086698)Instructions burned: 5 (million)
% 3.11/0.76 % (3086698)------------------------------
% 3.11/0.76 % (3086698)------------------------------
% 3.11/0.76 % (3086699)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2939077449:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.11/0.76 % (3086701)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2860550066:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.11/0.76 % (3086701)Refutation not found, incomplete strategy
% 3.11/0.76 % (3086701)------------------------------
% 3.11/0.76 % (3086701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086701)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086701)Termination reason: Refutation not found, incomplete strategy
% 3.11/0.76 % (3086701)Time elapsed: 0.002 s
% 3.11/0.76 % (3086701)Peak memory usage: 12 MB
% 3.11/0.76 % (3086701)Instructions burned: 2 (million)
% 3.11/0.76 % (3086701)------------------------------
% 3.11/0.76 % (3086701)------------------------------
% 3.11/0.76 % (3086702)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2165929965:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.11/0.76 % (3086694)Instruction limit reached!
% 3.11/0.76 % (3086694)------------------------------
% 3.11/0.76 % (3086694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086694)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086694)Termination reason: Instruction limit
% 3.11/0.76 % (3086694)Termination phase: Saturation
% 3.11/0.76 % (3086694)Time elapsed: 0.044 s
% 3.11/0.76 % (3086694)Peak memory usage: 12 MB
% 3.11/0.76 % (3086694)Instructions burned: 181 (million)
% 3.11/0.76 % (3086689)Instruction limit reached!
% 3.11/0.76 % (3086689)------------------------------
% 3.11/0.76 % (3086689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086689)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086689)Termination reason: Instruction limit
% 3.11/0.76 % (3086689)Termination phase: Saturation
% 3.11/0.76 % (3086689)Time elapsed: 0.072 s
% 3.11/0.76 % (3086689)Peak memory usage: 13 MB
% 3.11/0.76 % (3086689)Instructions burned: 138 (million)
% 3.11/0.76 % (3086707)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2195675752:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.11/0.76 % (3086707)Refutation not found, incomplete strategy
% 3.11/0.76 % (3086707)------------------------------
% 3.11/0.76 % (3086707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086707)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086707)Termination reason: Refutation not found, incomplete strategy
% 3.11/0.76 % (3086707)Time elapsed: 0.001 s
% 3.11/0.76 % (3086707)Peak memory usage: 12 MB
% 3.11/0.76 % (3086707)Instructions burned: 3 (million)
% 3.11/0.76 % (3086707)------------------------------
% 3.11/0.76 % (3086707)------------------------------
% 3.11/0.76 % (3086706)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1085717723:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.11/0.76 % (3086708)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4275259114:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.11/0.76 % (3086710)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1224503758:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.11/0.76 % (3086710)Refutation not found, incomplete strategy
% 3.11/0.76 % (3086710)------------------------------
% 3.11/0.76 % (3086710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086710)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086710)Termination reason: Refutation not found, incomplete strategy
% 3.11/0.76 % (3086710)Time elapsed: 0.001 s
% 3.11/0.76 % (3086710)Peak memory usage: 12 MB
% 3.11/0.76 % (3086710)Instructions burned: 4 (million)
% 3.11/0.76 % (3086710)------------------------------
% 3.11/0.76 % (3086710)------------------------------
% 3.11/0.76 % (3086699)Instruction limit reached!
% 3.11/0.76 % (3086699)------------------------------
% 3.11/0.76 % (3086699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086699)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086699)Termination reason: Instruction limit
% 3.11/0.76 % (3086699)Termination phase: Saturation
% 3.11/0.76 % (3086699)Time elapsed: 0.046 s
% 3.11/0.76 % (3086699)Peak memory usage: 12 MB
% 3.11/0.76 % (3086699)Instructions burned: 96 (million)
% 3.11/0.76 % (3086714)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1796416489:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.11/0.76 % (3086708)Instruction limit reached!
% 3.11/0.76 % (3086708)------------------------------
% 3.11/0.76 % (3086708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086708)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086708)Termination reason: Instruction limit
% 3.11/0.76 % (3086708)Termination phase: Saturation
% 3.11/0.76 % (3086708)Time elapsed: 0.023 s
% 3.11/0.76 % (3086708)Peak memory usage: 12 MB
% 3.11/0.76 % (3086708)Instructions burned: 44 (million)
% 3.11/0.76 % (3086715)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2589148145:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.11/0.76 % (3086717)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=1433844164:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.11/0.76 % (3086715)Instruction limit reached!
% 3.11/0.76 % (3086715)------------------------------
% 3.11/0.76 % (3086715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086715)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086715)Termination reason: Instruction limit
% 3.11/0.76 % (3086715)Termination phase: Saturation
% 3.11/0.76 % (3086715)Time elapsed: 0.046 s
% 3.11/0.76 % (3086715)Peak memory usage: 12 MB
% 3.11/0.76 % (3086715)Instructions burned: 96 (million)
% 3.11/0.76 % (3086717)Instruction limit reached!
% 3.11/0.76 % (3086717)------------------------------
% 3.11/0.76 % (3086717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.76 % (3086717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.76 % (3086717)CaDiCaL version: 2.1.3
% 3.11/0.76 % (3086717)Termination reason: Instruction limit
% 3.11/0.76 % (3086717)Termination phase: Saturation
% 3.11/0.76 % (3086717)Time elapsed: 0.034 s
% 3.11/0.76 % (3086717)Peak memory usage: 12 MB
% 3.11/0.76 % (3086717)Instructions burned: 66 (million)
% 3.11/0.76 % (3086714) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3086583-3086714"...
% 3.11/0.76 % (3086720)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=1114400433:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.11/0.76 % (3086714)...printing done.
% 3.11/0.76 % (3086714)Refutation found. Thanks to Tanya!
% 3.11/0.76 % SZS status Theorem for theBenchmark
% 3.11/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 3.11/0.77 % (3086714)------------------------------
% 3.11/0.77 % (3086714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.11/0.77 % (3086714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.11/0.77 % (3086714)CaDiCaL version: 2.1.3
% 3.11/0.77 % (3086714)Termination reason: Refutation
% 3.11/0.77 % (3086714)Time elapsed: 0.072 s
% 3.11/0.77 % (3086714)Peak memory usage: 13 MB
% 3.11/0.77 % (3086714)Instructions burned: 272 (million)
% 3.11/0.77 % (3086583)Success in time 0.517 s
% 3.11/0.77 % Vampire exiting
%------------------------------------------------------------------------------