%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV291^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 08:38:12 AM UTC 2026
% Result : Theorem 2.00s 0.44s
% Output : Refutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 76 ( 28 unt; 0 typ; 3 def)
% Number of atoms : 616 ( 159 equ; 0 cnn)
% Maximal formula atoms : 9 ( 8 avg)
% Number of connectives : 1115 ( 106 ~; 62 |; 100 &; 690 @)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 426 ( 426 >; 0 *; 0 +; 0 <<)
% Number of symbols : 81 ( 76 usr; 7 con; 0-4 aty)
% ( 14 !!; 106 ??; 0 @@+; 0 @@-)
% Number of variables : 298 ( 0 sgn 81 !; 11 ?; 298 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
r: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(func_def_1,type,
cNAT: ( ( $i > $o ) > $o ) > $o ).
thf(func_def_2,type,
cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(func_def_3,type,
cZERO: ( $i > $o ) > $o ).
thf(func_def_5,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
vIMP: $o > $o > $o ).
thf(func_def_7,type,
vAND: $o > $o > $o ).
thf(func_def_8,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_13,type,
vNOT: $o > $o ).
thf(func_def_14,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_15,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_17,type,
sK0: ( $i > $o ) > $o ).
thf(func_def_18,type,
sK1: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(func_def_19,type,
sK2:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_20,type,
sK3:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_21,type,
sK4:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_23,type,
sK6:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_24,type,
sK7:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_25,type,
sK8:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_26,type,
sK9: $i > $o ).
thf(func_def_28,type,
sK11:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_29,type,
sK12:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_30,type,
sK13:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_31,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_33,type,
sK14: ( $i > $o ) > $i ).
thf(func_def_34,type,
sK15:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_35,type,
sK16:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_36,type,
sK17:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_37,type,
sK18:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_38,type,
sK19:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_39,type,
sK20:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_40,type,
sK21:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_41,type,
sK22:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_42,type,
sK23:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_43,type,
sK24:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_44,type,
sK25:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_45,type,
sK26:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_46,type,
sK27:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_47,type,
sK28:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_48,type,
sK29:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_49,type,
sK30:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_50,type,
sK31:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_51,type,
sK32:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_52,type,
sK33:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_53,type,
sK34:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_54,type,
sK35:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_55,type,
sK36:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_56,type,
sK37:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_57,type,
sK38:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_58,type,
sK39:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_59,type,
sK40:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_60,type,
sK41:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_61,type,
sK42:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_62,type,
sK43:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_63,type,
sK44:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_64,type,
sK45:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_65,type,
sK46:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_66,type,
sK47:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_67,type,
sK48: ( $i > $o ) > $i ).
thf(func_def_68,type,
sK49:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_69,type,
sK50:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_70,type,
sK51:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_71,type,
sK52:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_72,type,
sK53:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_73,type,
sK54:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_74,type,
sK55:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_75,type,
sK56:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_76,type,
sK57:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(f1,axiom,
( cZERO
= ( ^ [X0: $i > $o] :
~ ? [X1: $i] : ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cZERO_def) ).
thf(f2,axiom,
( cSUCC
= ( ^ [X0: ( $i > $o ) > $o,X1: $i > $o] :
? [X2: $i] :
( ( X0
@ ^ [X3: $i] :
( ( X3 != X2 )
& ( X1 @ X3 ) ) )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSUCC_def) ).
thf(f3,axiom,
( ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1 @ cZERO )
& ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cSUCC @ X2 ) ) ) )
=> ( X1 @ X0 ) ) )
= cNAT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cNAT_def) ).
thf(f4,conjecture,
( ( ! [X1: ( $i > $o ) > $o,X0: ( $i > $o ) > $o] :
( ( r @ X0 @ X1 )
=> ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) ) )
& ( r @ cZERO @ cZERO ) )
=> ! [X0: ( $i > $o ) > $o] :
( ( cNAT @ X0 )
=> ? [X1: ( $i > $o ) > $o] : ( r @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM130_B) ).
thf(f5,negated_conjecture,
~ ( ( ! [X1: ( $i > $o ) > $o,X0: ( $i > $o ) > $o] :
( ( r @ X0 @ X1 )
=> ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) ) )
& ( r @ cZERO @ cZERO ) )
=> ! [X0: ( $i > $o ) > $o] :
( ( cNAT @ X0 )
=> ? [X1: ( $i > $o ) > $o] : ( r @ X0 @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
thf(f6,plain,
( ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1 @ cZERO )
& ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cSUCC @ X2 ) ) ) )
=> ( X1 @ X0 ) ) )
= cNAT ),
inference(rectify,[],[f3]) ).
thf(f7,plain,
( cNAT
= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cSUCC @ Y2 ) ) ) )
& ( Y1 @ cZERO ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f6]) ).
thf(f8,plain,
~ ( ( ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( r @ X1 @ X0 )
=> ( r @ ( cSUCC @ X1 ) @ ( cSUCC @ X0 ) ) )
& ( r @ cZERO @ cZERO ) )
=> ! [X2: ( $i > $o ) > $o] :
( ( cNAT @ X2 )
=> ? [X3: ( $i > $o ) > $o] : ( r @ X2 @ X3 ) ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
~ ( ( ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r @ X1 @ X0 )
= $true )
=> ( ( r @ ( cSUCC @ X1 ) @ ( cSUCC @ X0 ) )
= $true ) )
& ( ( r @ cZERO @ cZERO )
= $true ) )
=> ! [X2: ( $i > $o ) > $o] :
( ( ( cNAT @ X2 )
= $true )
=> ? [X3: ( $i > $o ) > $o] :
( ( r @ X2 @ X3 )
= $true ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
( cZERO
= ( ^ [X0: $i > $o] :
~ ? [X1: $i] : ( X0 @ X1 ) ) ),
inference(rectify,[],[f1]) ).
thf(f11,plain,
( cZERO
= ( ^ [Y0: $i > $o] :
~ ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
( cSUCC
= ( ^ [X0: ( $i > $o ) > $o,X1: $i > $o] :
? [X2: $i] :
( ( X0
@ ^ [X3: $i] :
( ( X3 != X2 )
& ( X1 @ X3 ) ) )
& ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f13,plain,
( cSUCC
= ( ^ [Y0: ( $i > $o ) > $o,Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
( ? [X2: ( $i > $o ) > $o] :
( ! [X3: ( $i > $o ) > $o] :
( ( r @ X2 @ X3 )
!= $true )
& ( ( cNAT @ X2 )
= $true ) )
& ! [X1: ( $i > $o ) > $o,X0: ( $i > $o ) > $o] :
( ( ( r @ ( cSUCC @ X1 ) @ ( cSUCC @ X0 ) )
= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
& ( ( r @ cZERO @ cZERO )
= $true ) ),
inference(ennf_transformation,[],[f9]) ).
thf(f15,plain,
( ? [X2: ( $i > $o ) > $o] :
( ! [X3: ( $i > $o ) > $o] :
( ( r @ X2 @ X3 )
!= $true )
& ( ( cNAT @ X2 )
= $true ) )
& ! [X1: ( $i > $o ) > $o,X0: ( $i > $o ) > $o] :
( ( ( r @ ( cSUCC @ X1 ) @ ( cSUCC @ X0 ) )
= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
& ( ( r @ cZERO @ cZERO )
= $true ) ),
inference(flattening,[],[f14]) ).
thf(f16,plain,
( ? [X0: ( $i > $o ) > $o] :
( ! [X1: ( $i > $o ) > $o] :
( ( r @ X0 @ X1 )
!= $true )
& ( ( cNAT @ X0 )
= $true ) )
& ! [X2: ( $i > $o ) > $o,X3: ( $i > $o ) > $o] :
( ( ( r @ ( cSUCC @ X2 ) @ ( cSUCC @ X3 ) )
= $true )
| ( ( r @ X2 @ X3 )
!= $true ) )
& ( ( r @ cZERO @ cZERO )
= $true ) ),
inference(rectify,[],[f15]) ).
thf(f17,plain,
( ! [X1: ( $i > $o ) > $o] :
( ( r @ sK0 @ X1 )
!= $true )
& ( ( cNAT @ sK0 )
= $true )
& ! [X2: ( $i > $o ) > $o,X3: ( $i > $o ) > $o] :
( ( ( r @ ( cSUCC @ X2 ) @ ( cSUCC @ X3 ) )
= $true )
| ( ( r @ X2 @ X3 )
!= $true ) )
& ( ( r @ cZERO @ cZERO )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
thf(f18,plain,
( cSUCC
= ( ^ [Y0: ( $i > $o ) > $o,Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f19,plain,
( cNAT
= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cSUCC @ Y2 ) ) ) )
& ( Y1 @ cZERO ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f20,plain,
( ( r @ cZERO @ cZERO )
= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f21,plain,
! [X2: ( $i > $o ) > $o,X3: ( $i > $o ) > $o] :
( ( ( r @ ( cSUCC @ X2 ) @ ( cSUCC @ X3 ) )
= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f22,plain,
( ( cNAT @ sK0 )
= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f23,plain,
! [X1: ( $i > $o ) > $o] :
( ( r @ sK0 @ X1 )
!= $true ),
inference(cnf_transformation,[],[f17]) ).
thf(f24,plain,
( cZERO
= ( ^ [Y0: $i > $o] :
~ ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f11]) ).
thf(f27,plain,
( cNAT
= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1
@ ( ^ [Y3: ( $i > $o ) > $o,Y4: $i > $o] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( Y4 @ Y5 )
& ( Y3
@ ^ [Y6: $i] :
( ( Y4 @ Y6 )
& ( Y5 != Y6 ) ) ) ) )
@ Y2 ) ) ) )
& ( Y1
@ ^ [Y2: $i > $o] :
~ ( ?? @ $i
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f19,f18,f24]) ).
thf(f28,plain,
( ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1
@ ( ^ [Y3: ( $i > $o ) > $o,Y4: $i > $o] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( Y4 @ Y5 )
& ( Y3
@ ^ [Y6: $i] :
( ( Y4 @ Y6 )
& ( Y5 != Y6 ) ) ) ) )
@ Y2 ) ) ) )
& ( Y1
@ ^ [Y2: $i > $o] :
~ ( ?? @ $i
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK0 )
= $true ),
inference(definition_unfolding,[],[f22,f27]) ).
thf(f29,plain,
! [X2: ( $i > $o ) > $o,X3: ( $i > $o ) > $o] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r
@ ( ^ [Y0: ( $i > $o ) > $o,Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) ) ) )
@ X2 )
@ ( ^ [Y0: ( $i > $o ) > $o,Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) ) ) )
@ X3 ) )
= $true ) ),
inference(definition_unfolding,[],[f21,f18,f18]) ).
thf(f30,plain,
( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) )
= $true ),
inference(definition_unfolding,[],[f20,f24,f24]) ).
thf(f31,plain,
( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $true ),
inference(beta-eta_normalization,[],[f30]) ).
thf(f32,plain,
! [X2: ( $i > $o ) > $o,X3: ( $i > $o ) > $o] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( X2
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( X3
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f29]) ).
thf(f33,plain,
( ( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y3 != Y4 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
~ ( ?? @ $i @ Y1 ) ) )
=> ( Y0 @ sK0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f28]) ).
thf(f34,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y2 @ Y3 )
& ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y3 != Y4 ) ) ) ) ) ) ) )
& ( Y0
@ ^ [Y1: $i > $o] :
~ ( ?? @ $i @ Y1 ) ) )
=> ( Y0 @ sK0 ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f33]) ).
thf(f35,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) ) ) ) ) ) )
& ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
=> ( X1 @ sK0 ) )
= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1 @ sK0 )
= $true )
| ( ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) ) ) ) ) ) )
& ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $false )
| ( ( X1 @ sK0 )
= $true )
| ( ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) ) ) ) ) ) )
= $false ) ),
inference(and_proxy_clausification,[],[f36]) ).
thf(f38,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $false )
| ( ( ^ [Y0: ( $i > $o ) > $o] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) ) ) ) ) )
@ ( sK1 @ X1 ) )
= $false )
| ( ( X1 @ sK0 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( ( X1 @ ( sK1 @ X1 ) )
=> ( X1
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1 @ X1
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) ) )
= $false )
| ( ( X1 @ sK0 )
= $true )
| ( ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $false ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1 @ X1
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) )
= $false )
| ( ( X1 @ sK0 )
= $true )
| ( ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1 @ ( sK1 @ X1 ) )
= $true )
| ( ( X1 @ sK0 )
= $true )
| ( ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $false ) ),
inference(imp_proxy_clausification,[],[f39]) ).
thf(f94,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) )
@ sK0 )
= $true )
| ( ( ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) )
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) ) )
= $true )
| ( ( ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) )
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $false ) ),
inference(primitive_instantiation,[],[f41]) ).
thf(f98,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ?? @ X1 @ ( X2 @ sK0 ) )
= $true )
| ( ( ?? @ X1
@ ( X2
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) ) ) )
= $true )
| ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f94]) ).
thf(f99,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false )
| ( ( ?? @ X1
@ ( X2
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) ) ) )
= $true )
| ( ( X2 @ sK0 @ ( sK6 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f98]) ).
thf(f100,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1] :
( ( ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X3 )
= $false )
| ( ( ?? @ X1
@ ( X2
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) ) ) )
= $true )
| ( ( X2 @ sK0 @ ( sK6 @ X1 @ X2 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f99]) ).
thf(f101,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1] :
( ( ( X2
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) )
@ ( sK7 @ X1 @ X2 ) )
= $true )
| ( ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X3 )
= $false )
| ( ( X2 @ sK0 @ ( sK6 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f100]) ).
thf(f146,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) )
@ sK0 )
= $true )
| ( ( ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) )
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $false )
| ( ( ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) )
= $false ) ),
inference(primitive_instantiation,[],[f40]) ).
thf(f160,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) ) )
= $false )
| ( ( ?? @ X1 @ ( X2 @ sK0 ) )
= $true )
| ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f146]) ).
thf(f161,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1] :
( ( ( X2
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ X3 )
= $false )
| ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false )
| ( ( ?? @ X1 @ ( X2 @ sK0 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f160]) ).
thf(f162,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1,X4: X1] :
( ( ( ?? @ X1 @ ( X2 @ sK0 ) )
= $true )
| ( ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X4 )
= $false )
| ( ( X2
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ X3 )
= $false ) ),
inference(pi_proxy_clausification,[],[f161]) ).
thf(f163,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1,X4: X1] :
( ( ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X4 )
= $false )
| ( ( X2
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ X3 )
= $false )
| ( ( X2 @ sK0 @ ( sK13 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f162]) ).
thf(f392,definition,
( spl5_13
<=> ! [X0: ( $i > $o ) > $o] :
( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_13])],[avatar_definition]) ).
thf(f393,plain,
( ! [X0: ( $i > $o ) > $o] :
( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f392]) ).
thf(f408,plain,
! [X0: ( $i > $o ) > $o] :
( ( $true != $true )
| ( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ( ( r @ sK0 @ ( sK6 @ ( ( $i > $o ) > $o ) @ r ) )
= $true )
| ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK7 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f32,f101]) ).
thf(f416,plain,
! [X0: ( $i > $o ) > $o] :
( ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK7 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) )
= $true )
| ( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ( ( r @ sK0 @ ( sK6 @ ( ( $i > $o ) > $o ) @ r ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f408]) ).
thf(f435,plain,
! [X0: ( $i > $o ) > $o] :
( ( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK7 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) )
= $true ) ),
inference(forward_subsumption_resolution,[],[f416,f23]) ).
thf(f437,definition,
( spl5_15
<=> ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK7 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl5_15])],[avatar_definition]) ).
thf(f439,plain,
( ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK7 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) ) )
= $true )
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f437]) ).
thf(f440,plain,
( spl5_13
| spl5_15 ),
inference(avatar_split_clause,[],[f435,f437,f392]) ).
thf(f441,plain,
( ( $false = $true )
| ~ spl5_13 ),
inference(backward_demodulation,[],[f31,f393]) ).
thf(f442,plain,
( $false
| ~ spl5_13 ),
inference(trivial_inequality_removal,[],[f441]) ).
thf(f443,plain,
~ spl5_13,
inference(avatar_contradiction_clause,[],[f442]) ).
thf(f476,plain,
! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ X1 )
= $false )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f23,f163]) ).
thf(f494,plain,
! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ X1 )
= $false ) ),
inference(trivial_inequality_removal,[],[f476]) ).
thf(f518,definition,
( spl5_16
<=> ! [X1: ( $i > $o ) > $o] :
( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ X1 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl5_16])],[avatar_definition]) ).
thf(f519,plain,
( ! [X1: ( $i > $o ) > $o] :
( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( Y0 @ Y1 )
& ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) ) ) )
@ X1 )
= $false )
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f518]) ).
thf(f520,plain,
( spl5_13
| spl5_16 ),
inference(avatar_split_clause,[],[f494,f518,f392]) ).
thf(f526,plain,
( ( $false = $true )
| ~ spl5_15
| ~ spl5_16 ),
inference(backward_demodulation,[],[f439,f519]) ).
thf(f527,plain,
( $false
| ~ spl5_15
| ~ spl5_16 ),
inference(trivial_inequality_removal,[],[f526]) ).
thf(f528,plain,
( ~ spl5_15
| ~ spl5_16 ),
inference(avatar_contradiction_clause,[],[f527]) ).
cnf(s14,plain,
( spl5_13
| spl5_15 ),
inference(sat_conversion,[],[f440]) ).
cnf(s15,plain,
~ spl5_13,
inference(sat_conversion,[],[f443]) ).
cnf(s16,plain,
( spl5_13
| spl5_16 ),
inference(sat_conversion,[],[f520]) ).
cnf(s18,plain,
( ~ spl5_15
| ~ spl5_16 ),
inference(sat_conversion,[],[f528]) ).
cnf(s19,plain,
spl5_16,
inference(rat,[],[s16,s15]) ).
cnf(s20,plain,
~ spl5_15,
inference(rat,[],[s18,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s14,s20,s15]) ).
thf(f529,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV291^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 15:31:03 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running higher-order theorem proving
% 0.08/0.13 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
% 0.08/0.21 % (250109)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.21 % (250134)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.21 % (250134)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
% 0.08/0.21 % (250128)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3819803679:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.21 % (250131)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=86787120: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)
% 0.08/0.21 % (250129)lrs+10_16_si=on:nwc=1.5:random_seed=2739896874:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.21 % (250132)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2037817414:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.21 % (250130)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3623069493:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.21 % (250134)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=417057939:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.21 % (250133)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2905747152:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.21 % (250130)Instruction limit reached!
% 0.08/0.21 % (250130)------------------------------
% 0.08/0.21 % (250130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (250130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (250130)CaDiCaL version: 2.1.3
% 0.08/0.21 % (250130)Termination reason: Instruction limit
% 0.08/0.21 % (250130)Termination phase: Saturation
% 0.08/0.21 % (250130)Time elapsed: 0.002 s
% 0.08/0.21 % (250130)Peak memory usage: 12 MB
% 0.08/0.21 % (250130)Instructions burned: 6 (million)
% 0.08/0.21 % (250134)Refutation not found, incomplete strategy
% 0.08/0.21 % (250134)------------------------------
% 0.08/0.21 % (250134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (250134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (250134)CaDiCaL version: 2.1.3
% 0.08/0.21 % (250134)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.21 % (250134)Time elapsed: 0.006 s
% 0.08/0.21 % (250134)Peak memory usage: 12 MB
% 0.08/0.21 % (250134)Instructions burned: 19 (million)
% 0.08/0.21 % (250129)Instruction limit reached!
% 0.08/0.21 % (250129)------------------------------
% 0.08/0.21 % (250129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (250129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (250129)CaDiCaL version: 2.1.3
% 0.08/0.21 % (250129)Termination reason: Instruction limit
% 0.08/0.21 % (250129)Termination phase: Saturation
% 0.08/0.21 % (250129)Time elapsed: 0.006 s
% 0.08/0.21 % (250129)Peak memory usage: 12 MB
% 0.08/0.21 % (250129)Instructions burned: 21 (million)
% 0.08/0.21 % (250134)------------------------------
% 0.08/0.21 % (250134)------------------------------
% 0.08/0.21 % (250132)Instruction limit reached!
% 0.08/0.21 % (250132)------------------------------
% 0.08/0.21 % (250132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (250132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (250132)CaDiCaL version: 2.1.3
% 0.08/0.21 % (250132)Termination reason: Instruction limit
% 0.08/0.21 % (250132)Termination phase: Saturation
% 0.08/0.21 % (250132)Time elapsed: 0.007 s
% 0.08/0.21 % (250132)Peak memory usage: 12 MB
% 0.08/0.21 % (250132)Instructions burned: 24 (million)
% 0.08/0.21 % (250151)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3571825009:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.08/0.21 % (250151)Instruction limit reached!
% 0.08/0.21 % (250151)------------------------------
% 0.08/0.21 % (250151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (250151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (250151)CaDiCaL version: 2.1.3
% 0.08/0.22 % (250151)Termination reason: Instruction limit
% 0.08/0.22 % (250151)Termination phase: Saturation
% 0.08/0.22 % (250151)Time elapsed: 0.001 s
% 0.08/0.22 % (250151)Peak memory usage: 11 MB
% 0.08/0.22 % (250151)Instructions burned: 3 (million)
% 0.08/0.22 % (250156)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.22 % (250156)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1146108106:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.08/0.22 % (250155)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3608253497:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.08/0.22 % (250157)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3701032513:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.08/0.22 % (250155)Instruction limit reached!
% 0.08/0.22 % (250155)------------------------------
% 0.08/0.22 % (250155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (250155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (250155)CaDiCaL version: 2.1.3
% 0.08/0.22 % (250155)Termination reason: Instruction limit
% 0.08/0.22 % (250155)Termination phase: Saturation
% 0.08/0.22 % (250155)Time elapsed: 0.002 s
% 0.08/0.22 % (250155)Peak memory usage: 12 MB
% 0.08/0.22 % (250155)Instructions burned: 6 (million)
% 0.08/0.22 % (250156)Instruction limit reached!
% 0.08/0.22 % (250156)------------------------------
% 0.08/0.22 % (250156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (250156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (250156)CaDiCaL version: 2.1.3
% 0.08/0.22 % (250156)Termination reason: Instruction limit
% 0.08/0.22 % (250156)Termination phase: Saturation
% 0.08/0.22 % (250156)Time elapsed: 0.002 s
% 0.08/0.22 % (250156)Peak memory usage: 12 MB
% 0.08/0.22 % (250156)Instructions burned: 7 (million)
% 0.08/0.22 % (250133)Instruction limit reached!
% 0.08/0.22 % (250133)------------------------------
% 0.08/0.22 % (250133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (250133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (250133)CaDiCaL version: 2.1.3
% 0.08/0.22 % (250133)Termination reason: Instruction limit
% 0.08/0.22 % (250133)Termination phase: Saturation
% 0.08/0.22 % (250133)Time elapsed: 0.021 s
% 0.08/0.22 % (250133)Peak memory usage: 13 MB
% 0.08/0.22 % (250133)Instructions burned: 76 (million)
% 0.08/0.22 % (250157)Instruction limit reached!
% 0.08/0.22 % (250157)------------------------------
% 0.08/0.22 % (250157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (250157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (250157)CaDiCaL version: 2.1.3
% 0.08/0.22 % (250157)Termination reason: Instruction limit
% 0.08/0.22 % (250157)Termination phase: Saturation
% 0.08/0.22 % (250157)Time elapsed: 0.004 s
% 0.08/0.22 % (250157)Peak memory usage: 12 MB
% 0.08/0.22 % (250157)Instructions burned: 13 (million)
% 0.08/0.22 % (250162)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
% 0.08/0.22 % (250162)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.22 % (250128)Instruction limit reached!
% 0.08/0.22 % (250128)------------------------------
% 0.08/0.22 % (250128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (250128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (250128)CaDiCaL version: 2.1.3
% 0.08/0.22 % (250128)Termination reason: Instruction limit
% 0.08/0.22 % (250128)Termination phase: Saturation
% 0.08/0.22 % (250128)Time elapsed: 0.025 s
% 0.08/0.22 % (250128)Peak memory usage: 13 MB
% 0.08/0.22 % (250128)Instructions burned: 88 (million)
% 0.08/0.22 % (250162)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1141653231:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.56/0.24 % (250166)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=2934747450:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.56/0.24 % (250167)lrs+10_1_si=on:cs=on:random_seed=2467241339:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.56/0.24 % (250168)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.56/0.24 % (250168)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=1865688849:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.56/0.24 % (250169)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=208815863:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.56/0.24 % (250167)Instruction limit reached!
% 0.56/0.24 % (250167)------------------------------
% 0.56/0.24 % (250167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.24 % (250167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.24 % (250167)CaDiCaL version: 2.1.3
% 0.56/0.24 % (250167)Termination reason: Instruction limit
% 0.56/0.24 % (250167)Termination phase: Saturation
% 0.56/0.24 % (250167)Time elapsed: 0.003 s
% 0.56/0.24 % (250167)Peak memory usage: 11 MB
% 0.56/0.24 % (250167)Instructions burned: 12 (million)
% 0.56/0.24 % (250168)Instruction limit reached!
% 0.56/0.24 % (250168)------------------------------
% 0.56/0.24 % (250168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.24 % (250168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.24 % (250168)CaDiCaL version: 2.1.3
% 0.56/0.24 % (250168)Termination reason: Instruction limit
% 0.56/0.24 % (250168)Termination phase: Saturation
% 0.56/0.24 % (250168)Time elapsed: 0.001 s
% 0.56/0.24 % (250168)Peak memory usage: 12 MB
% 0.56/0.24 % (250168)Instructions burned: 3 (million)
% 0.56/0.24 % (250162)Instruction limit reached!
% 0.56/0.24 % (250162)------------------------------
% 0.56/0.24 % (250162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.24 % (250162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.24 % (250162)CaDiCaL version: 2.1.3
% 0.56/0.24 % (250162)Termination reason: Instruction limit
% 0.56/0.24 % (250162)Termination phase: Saturation
% 0.56/0.24 % (250162)Time elapsed: 0.008 s
% 0.56/0.24 % (250162)Peak memory usage: 12 MB
% 0.56/0.24 % (250162)Instructions burned: 32 (million)
% 0.56/0.24 % (250171)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=631041012:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.56/0.24 % (250169)Instruction limit reached!
% 0.56/0.24 % (250169)------------------------------
% 0.56/0.24 % (250169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.24 % (250169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.24 % (250169)CaDiCaL version: 2.1.3
% 0.56/0.24 % (250169)Termination reason: Instruction limit
% 0.56/0.24 % (250169)Termination phase: Saturation
% 0.56/0.24 % (250169)Time elapsed: 0.009 s
% 0.56/0.24 % (250169)Peak memory usage: 12 MB
% 0.56/0.24 % (250169)Instructions burned: 39 (million)
% 0.56/0.24 % (250180)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3440678928:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.56/0.24 % (250181)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4195632884:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.56/0.24 % (250182)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1248806942:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.56/0.24 % (250171)Refutation not found, incomplete strategy
% 0.56/0.24 % (250171)------------------------------
% 0.56/0.24 % (250171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.24 % (250171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.24 % (250171)CaDiCaL version: 2.1.3
% 0.56/0.24 % (250171)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.26 % (250171)Time elapsed: 0.009 s
% 0.56/0.26 % (250171)Peak memory usage: 12 MB
% 0.56/0.26 % (250171)Instructions burned: 28 (million)
% 0.56/0.26 % (250171)------------------------------
% 0.56/0.26 % (250171)------------------------------
% 0.56/0.26 % (250181)Instruction limit reached!
% 0.56/0.26 % (250181)------------------------------
% 0.56/0.26 % (250181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.26 % (250181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.26 % (250181)CaDiCaL version: 2.1.3
% 0.56/0.26 % (250181)Termination reason: Instruction limit
% 0.56/0.26 % (250181)Termination phase: Saturation
% 0.56/0.26 % (250181)Time elapsed: 0.005 s
% 0.56/0.26 % (250181)Peak memory usage: 12 MB
% 0.56/0.26 % (250181)Instructions burned: 16 (million)
% 0.56/0.26 % (250166)Instruction limit reached!
% 0.56/0.26 % (250166)------------------------------
% 0.56/0.26 % (250166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.26 % (250166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.26 % (250166)CaDiCaL version: 2.1.3
% 0.56/0.26 % (250166)Termination reason: Instruction limit
% 0.56/0.26 % (250166)Termination phase: Saturation
% 0.56/0.26 % (250166)Time elapsed: 0.020 s
% 0.56/0.26 % (250166)Peak memory usage: 13 MB
% 0.56/0.26 % (250166)Instructions burned: 89 (million)
% 0.56/0.26 % (250184)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=870522668:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.56/0.26 % (250188)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1648227985: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)
% 0.56/0.26 % (250188)Instruction limit reached!
% 0.56/0.26 % (250188)------------------------------
% 0.56/0.26 % (250188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.26 % (250188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.26 % (250180)Instruction limit reached!
% 0.56/0.26 % (250180)------------------------------
% 0.56/0.26 % (250180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.26 % (250188)CaDiCaL version: 2.1.3
% 0.56/0.26 % (250188)Termination reason: Instruction limit
% 0.56/0.26 % (250188)Termination phase: Saturation
% 0.56/0.26 % (250188)Time elapsed: 0.001 s
% 0.56/0.26 % (250188)Peak memory usage: 11 MB
% 0.56/0.26 % (250180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.26 % (250188)Instructions burned: 2 (million)
% 0.56/0.26 % (250180)CaDiCaL version: 2.1.3
% 0.56/0.26 % (250180)Termination reason: Instruction limit
% 0.56/0.26 % (250180)Termination phase: Saturation
% 0.56/0.26 % (250180)Time elapsed: 0.012 s
% 0.56/0.26 % (250180)Peak memory usage: 12 MB
% 0.56/0.26 % (250180)Instructions burned: 38 (million)
% 0.56/0.26 % (250184)Instruction limit reached!
% 0.56/0.26 % (250184)------------------------------
% 0.56/0.26 % (250184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.26 % (250184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.26 % (250184)CaDiCaL version: 2.1.3
% 0.56/0.26 % (250184)Termination reason: Instruction limit
% 0.56/0.26 % (250184)Termination phase: Saturation
% 0.56/0.26 % (250184)Time elapsed: 0.004 s
% 0.56/0.26 % (250184)Peak memory usage: 12 MB
% 0.56/0.26 % (250184)Instructions burned: 14 (million)
% 0.56/0.26 % (250189)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2065647916:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.56/0.26 % (250190)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4113901814:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.56/0.26 % (250189)Refutation not found, incomplete strategy
% 0.56/0.26 % (250189)------------------------------
% 0.56/0.26 % (250189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.26 % (250189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.26 % (250189)CaDiCaL version: 2.1.3
% 0.56/0.26 % (250189)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.26 % (250189)Time elapsed: 0.002 s
% 0.56/0.26 % (250189)Peak memory usage: 12 MB
% 0.56/0.26 % (250189)Instructions burned: 8 (million)
% 0.56/0.26 % (250189)------------------------------
% 0.56/0.26 % (250189)------------------------------
% 0.56/0.29 % (250194)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
% 0.56/0.29 % (250194)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.56/0.29 % (250195)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.56/0.29 % (250193)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=908320792:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.56/0.29 % (250194)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=10825047:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.56/0.29 % (250190)Instruction limit reached!
% 0.56/0.29 % (250190)------------------------------
% 0.56/0.29 % (250190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.29 % (250190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.29 % (250190)CaDiCaL version: 2.1.3
% 0.56/0.29 % (250190)Termination reason: Instruction limit
% 0.56/0.29 % (250190)Termination phase: Saturation
% 0.56/0.29 % (250190)Time elapsed: 0.007 s
% 0.56/0.29 % (250190)Peak memory usage: 11 MB
% 0.56/0.29 % (250190)Instructions burned: 24 (million)
% 0.56/0.29 % (250195)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=4003074636:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.56/0.29 % (250195)Instruction limit reached!
% 0.56/0.29 % (250195)------------------------------
% 0.56/0.29 % (250195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.29 % (250195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.29 % (250195)CaDiCaL version: 2.1.3
% 0.56/0.29 % (250195)Termination reason: Instruction limit
% 0.56/0.29 % (250195)Termination phase: Saturation
% 0.56/0.29 % (250195)Time elapsed: 0.003 s
% 0.56/0.29 % (250195)Peak memory usage: 12 MB
% 0.56/0.29 % (250195)Instructions burned: 10 (million)
% 0.56/0.29 % (250194)Instruction limit reached!
% 0.56/0.29 % (250194)------------------------------
% 0.56/0.29 % (250194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.29 % (250194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.29 % (250194)CaDiCaL version: 2.1.3
% 0.56/0.29 % (250194)Termination reason: Instruction limit
% 0.56/0.29 % (250194)Termination phase: Saturation
% 0.56/0.29 % (250194)Time elapsed: 0.005 s
% 0.56/0.29 % (250194)Peak memory usage: 12 MB
% 0.56/0.29 % (250194)Instructions burned: 14 (million)
% 0.56/0.29 % (250198)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=1809557837:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.56/0.29 % (250202)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1711226596:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.56/0.29 % (250203)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1640473868:i=23:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.56/0.29 % (250193)Instruction limit reached!
% 0.56/0.29 % (250193)------------------------------
% 0.56/0.29 % (250193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.29 % (250193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.29 % (250193)CaDiCaL version: 2.1.3
% 0.56/0.29 % (250193)Termination reason: Instruction limit
% 0.56/0.29 % (250193)Termination phase: Saturation
% 0.56/0.29 % (250193)Time elapsed: 0.015 s
% 0.56/0.29 % (250193)Peak memory usage: 12 MB
% 0.56/0.29 % (250193)Instructions burned: 61 (million)
% 0.56/0.29 % (250198)Instruction limit reached!
% 0.56/0.29 % (250198)------------------------------
% 0.56/0.29 % (250198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.29 % (250198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.29 % (250198)CaDiCaL version: 2.1.3
% 0.56/0.29 % (250198)Termination reason: Instruction limit
% 0.56/0.32 % (250198)Termination phase: Saturation
% 0.56/0.32 % (250198)Time elapsed: 0.008 s
% 0.56/0.32 % (250198)Peak memory usage: 12 MB
% 0.56/0.32 % (250198)Instructions burned: 32 (million)
% 0.56/0.32 % (250204)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=603337535:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/20Mi)
% 0.56/0.32 % (250202)Instruction limit reached!
% 0.56/0.32 % (250202)------------------------------
% 0.56/0.32 % (250202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.32 % (250202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.32 % (250202)CaDiCaL version: 2.1.3
% 0.56/0.32 % (250202)Termination reason: Instruction limit
% 0.56/0.32 % (250202)Termination phase: Saturation
% 0.56/0.32 % (250202)Time elapsed: 0.003 s
% 0.56/0.32 % (250202)Peak memory usage: 12 MB
% 0.56/0.32 % (250202)Instructions burned: 9 (million)
% 0.56/0.32 % (250203)Instruction limit reached!
% 0.56/0.32 % (250203)------------------------------
% 0.56/0.32 % (250203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.32 % (250203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.32 % (250203)CaDiCaL version: 2.1.3
% 0.56/0.32 % (250203)Termination reason: Instruction limit
% 0.56/0.32 % (250203)Termination phase: Saturation
% 0.56/0.32 % (250203)Time elapsed: 0.005 s
% 0.56/0.32 % (250203)Peak memory usage: 11 MB
% 0.56/0.32 % (250203)Instructions burned: 23 (million)
% 0.56/0.32 % (250204)Instruction limit reached!
% 0.56/0.32 % (250204)------------------------------
% 0.56/0.32 % (250204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.32 % (250204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.32 % (250204)CaDiCaL version: 2.1.3
% 0.56/0.32 % (250204)Termination reason: Instruction limit
% 0.56/0.32 % (250204)Termination phase: Saturation
% 0.56/0.32 % (250204)Time elapsed: 0.005 s
% 0.56/0.32 % (250204)Peak memory usage: 12 MB
% 0.56/0.32 % (250204)Instructions burned: 21 (million)
% 0.56/0.32 % (250209)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=692827834:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 0.56/0.32 % (250210)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3034889924:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 0.56/0.32 % (250211)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3817789622:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 0.56/0.32 % (250213)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.56/0.32 % (250209)Refutation not found, incomplete strategy
% 0.56/0.32 % (250209)------------------------------
% 0.56/0.32 % (250209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.32 % (250209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.32 % (250209)CaDiCaL version: 2.1.3
% 0.56/0.32 % (250209)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.32 % (250209)Time elapsed: 0.004 s
% 0.56/0.32 % (250209)Peak memory usage: 12 MB
% 0.56/0.32 % (250209)Instructions burned: 12 (million)
% 0.56/0.32 % (250209)------------------------------
% 0.56/0.32 % (250209)------------------------------
% 0.56/0.32 % (250212)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2153138747:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 0.56/0.32 % (250213)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=411345658:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 0.56/0.32 % (250211)Refutation not found, incomplete strategy
% 0.56/0.32 % (250211)------------------------------
% 0.56/0.32 % (250211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.56/0.32 % (250211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.56/0.32 % (250211)CaDiCaL version: 2.1.3
% 0.56/0.32 % (250211)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.32 % (250211)Time elapsed: 0.003 s
% 0.56/0.32 % (250211)Peak memory usage: 12 MB
% 0.56/0.32 % (250211)Instructions burned: 9 (million)
% 0.56/0.32 % (250211)------------------------------
% 0.56/0.32 % (250211)------------------------------
% 0.56/0.32 % (250213)Instruction limit reached!
% 0.56/0.32 % (250213)------------------------------
% 1.28/0.35 % (250213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.35 % (250213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.35 % (250213)CaDiCaL version: 2.1.3
% 1.28/0.35 % (250213)Termination reason: Instruction limit
% 1.28/0.35 % (250213)Termination phase: Saturation
% 1.28/0.35 % (250213)Time elapsed: 0.002 s
% 1.28/0.35 % (250213)Peak memory usage: 12 MB
% 1.28/0.35 % (250213)Instructions burned: 7 (million)
% 1.28/0.35 % (250218)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1757765028:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.28/0.35 % (250221)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.28/0.35 % (250212)Instruction limit reached!
% 1.28/0.35 % (250212)------------------------------
% 1.28/0.35 % (250212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.35 % (250212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.35 % (250212)CaDiCaL version: 2.1.3
% 1.28/0.35 % (250212)Termination reason: Instruction limit
% 1.28/0.35 % (250212)Termination phase: Saturation
% 1.28/0.35 % (250212)Time elapsed: 0.011 s
% 1.28/0.35 % (250212)Peak memory usage: 12 MB
% 1.28/0.35 % (250212)Instructions burned: 43 (million)
% 1.28/0.35 % (250220)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=3448609821: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)
% 1.28/0.35 % (250221)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1704518153:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.28/0.35 % (250221)Instruction limit reached!
% 1.28/0.35 % (250221)------------------------------
% 1.28/0.35 % (250221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.35 % (250221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.35 % (250221)CaDiCaL version: 2.1.3
% 1.28/0.35 % (250221)Termination reason: Instruction limit
% 1.28/0.35 % (250221)Termination phase: Saturation
% 1.28/0.35 % (250221)Time elapsed: 0.002 s
% 1.28/0.35 % (250221)Peak memory usage: 12 MB
% 1.28/0.35 % (250221)Instructions burned: 6 (million)
% 1.28/0.35 % (250224)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=396011572:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.28/0.35 % (250226)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1704625593:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.28/0.35 % (250182)Instruction limit reached!
% 1.28/0.35 % (250182)------------------------------
% 1.28/0.35 % (250182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.35 % (250182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.35 % (250182)CaDiCaL version: 2.1.3
% 1.28/0.35 % (250182)Termination reason: Instruction limit
% 1.28/0.35 % (250182)Termination phase: Saturation
% 1.28/0.35 % (250182)Time elapsed: 0.080 s
% 1.28/0.35 % (250182)Peak memory usage: 15 MB
% 1.28/0.35 % (250182)Instructions burned: 329 (million)
% 1.28/0.35 % (250224)Instruction limit reached!
% 1.28/0.35 % (250224)------------------------------
% 1.28/0.35 % (250224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.35 % (250224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.35 % (250224)CaDiCaL version: 2.1.3
% 1.28/0.35 % (250224)Termination reason: Instruction limit
% 1.28/0.35 % (250224)Termination phase: Saturation
% 1.28/0.35 % (250224)Time elapsed: 0.007 s
% 1.28/0.35 % (250224)Peak memory usage: 12 MB
% 1.28/0.35 % (250224)Instructions burned: 25 (million)
% 1.28/0.35 % (250226)Instruction limit reached!
% 1.28/0.35 % (250226)------------------------------
% 1.28/0.35 % (250226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.35 % (250226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.35 % (250226)CaDiCaL version: 2.1.3
% 1.28/0.35 % (250226)Termination reason: Instruction limit
% 1.28/0.35 % (250226)Termination phase: Saturation
% 1.28/0.35 % (250226)Time elapsed: 0.006 s
% 1.28/0.35 % (250226)Peak memory usage: 13 MB
% 1.28/0.38 % (250226)Instructions burned: 20 (million)
% 1.28/0.38 % (250210)Instruction limit reached!
% 1.28/0.38 % (250210)------------------------------
% 1.28/0.38 % (250210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.38 % (250210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.38 % (250210)CaDiCaL version: 2.1.3
% 1.28/0.38 % (250210)Termination reason: Instruction limit
% 1.28/0.38 % (250210)Termination phase: Saturation
% 1.28/0.38 % (250210)Time elapsed: 0.039 s
% 1.28/0.38 % (250210)Peak memory usage: 13 MB
% 1.28/0.38 % (250210)Instructions burned: 145 (million)
% 1.28/0.38 % (250229)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=3719012631:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.28/0.38 % (250230)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=4264196043:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 1.28/0.38 % (250231)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=3365183932:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 1.28/0.38 % (250232)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1648263059:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 1.28/0.38 % (250232)Refutation not found, incomplete strategy
% 1.28/0.38 % (250232)------------------------------
% 1.28/0.38 % (250232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.38 % (250232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.38 % (250232)CaDiCaL version: 2.1.3
% 1.28/0.38 % (250232)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.38 % (250232)Time elapsed: 0.001 s
% 1.28/0.38 % (250232)Peak memory usage: 12 MB
% 1.28/0.38 % (250232)Instructions burned: 2 (million)
% 1.28/0.38 % (250232)------------------------------
% 1.28/0.38 % (250232)------------------------------
% 1.28/0.38 % (250220)Instruction limit reached!
% 1.28/0.38 % (250220)------------------------------
% 1.28/0.38 % (250220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.38 % (250220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.38 % (250220)CaDiCaL version: 2.1.3
% 1.28/0.38 % (250220)Termination reason: Instruction limit
% 1.28/0.38 % (250220)Termination phase: Saturation
% 1.28/0.38 % (250220)Time elapsed: 0.038 s
% 1.28/0.38 % (250220)Peak memory usage: 15 MB
% 1.28/0.38 % (250220)Instructions burned: 172 (million)
% 1.28/0.38 % (250218)Instruction limit reached!
% 1.28/0.38 % (250218)------------------------------
% 1.28/0.38 % (250218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.38 % (250218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.38 % (250218)CaDiCaL version: 2.1.3
% 1.28/0.38 % (250218)Termination reason: Instruction limit
% 1.28/0.38 % (250218)Termination phase: Saturation
% 1.28/0.38 % (250218)Time elapsed: 0.042 s
% 1.28/0.38 % (250218)Peak memory usage: 12 MB
% 1.28/0.38 % (250218)Instructions burned: 185 (million)
% 1.28/0.38 % (250237)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=857492956:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2998 on theBenchmark for (2998ds/21Mi)
% 1.28/0.38 % (250231)Instruction limit reached!
% 1.28/0.38 % (250231)------------------------------
% 1.28/0.38 % (250231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.38 % (250231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.38 % (250231)CaDiCaL version: 2.1.3
% 1.28/0.38 % (250231)Termination reason: Instruction limit
% 1.28/0.38 % (250231)Termination phase: Saturation
% 1.28/0.38 % (250231)Time elapsed: 0.014 s
% 1.28/0.38 % (250231)Peak memory usage: 12 MB
% 1.28/0.38 % (250231)Instructions burned: 46 (million)
% 1.28/0.38 % (250238)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.28/0.38 % (250131)Instruction limit reached!
% 1.28/0.38 % (250131)------------------------------
% 1.28/0.38 % (250131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250131)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250131)Termination reason: Instruction limit
% 2.00/0.44 % (250131)Termination phase: Saturation
% 2.00/0.44 % (250131)Time elapsed: 0.157 s
% 2.00/0.44 % (250131)Peak memory usage: 14 MB
% 2.00/0.44 % (250131)Instructions burned: 636 (million)
% 2.00/0.44 % (250238)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1139559575:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/200Mi)
% 2.00/0.44 % (250239)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=90369390:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/13Mi)
% 2.00/0.44 % (250237)Instruction limit reached!
% 2.00/0.44 % (250237)------------------------------
% 2.00/0.44 % (250237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250237)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250237)Termination reason: Instruction limit
% 2.00/0.44 % (250237)Termination phase: Saturation
% 2.00/0.44 % (250237)Time elapsed: 0.006 s
% 2.00/0.44 % (250237)Peak memory usage: 12 MB
% 2.00/0.44 % (250237)Instructions burned: 21 (million)
% 2.00/0.44 % (250239)Instruction limit reached!
% 2.00/0.44 % (250239)------------------------------
% 2.00/0.44 % (250239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250239)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250239)Termination reason: Instruction limit
% 2.00/0.44 % (250239)Termination phase: Saturation
% 2.00/0.44 % (250239)Time elapsed: 0.004 s
% 2.00/0.44 % (250239)Peak memory usage: 12 MB
% 2.00/0.44 % (250239)Instructions burned: 14 (million)
% 2.00/0.44 % (250241)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=715506982:i=66:s2at=3:nm=2:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/66Mi)
% 2.00/0.44 % (250242)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3529448412:i=51:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/51Mi)
% 2.00/0.44 % (250245)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4028326438:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.00/0.44 % (250247)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2163250438:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2998 on theBenchmark for (2998ds/137Mi)
% 2.00/0.44 % (250245)Refutation not found, incomplete strategy
% 2.00/0.44 % (250245)------------------------------
% 2.00/0.44 % (250245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250245)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250245)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.44 % (250245)Time elapsed: 0.004 s
% 2.00/0.44 % (250245)Peak memory usage: 12 MB
% 2.00/0.44 % (250245)Instructions burned: 12 (million)
% 2.00/0.44 % (250245)------------------------------
% 2.00/0.44 % (250245)------------------------------
% 2.00/0.44 % (250242)Instruction limit reached!
% 2.00/0.44 % (250242)------------------------------
% 2.00/0.44 % (250242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250242)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250242)Termination reason: Instruction limit
% 2.00/0.44 % (250242)Termination phase: Saturation
% 2.00/0.44 % (250242)Time elapsed: 0.016 s
% 2.00/0.44 % (250242)Peak memory usage: 13 MB
% 2.00/0.44 % (250242)Instructions burned: 54 (million)
% 2.00/0.44 % (250241)Instruction limit reached!
% 2.00/0.44 % (250241)------------------------------
% 2.00/0.44 % (250241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250241)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250241)Termination reason: Instruction limit
% 2.00/0.44 % (250241)Termination phase: Saturation
% 2.00/0.44 % (250241)Time elapsed: 0.019 s
% 2.00/0.44 % (250241)Peak memory usage: 14 MB
% 2.00/0.44 % (250241)Instructions burned: 70 (million)
% 2.00/0.44 % (250251)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=2872802956:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.00/0.44 % (250253)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.00/0.44 % (250252)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=876509166:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.00/0.44 % (250253)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3900261191:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 2.00/0.44 % (250251)Instruction limit reached!
% 2.00/0.44 % (250251)------------------------------
% 2.00/0.44 % (250251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250251)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250251)Termination reason: Instruction limit
% 2.00/0.44 % (250251)Termination phase: Saturation
% 2.00/0.44 % (250251)Time elapsed: 0.010 s
% 2.00/0.44 % (250251)Peak memory usage: 12 MB
% 2.00/0.44 % (250251)Instructions burned: 36 (million)
% 2.00/0.44 % (250229)Instruction limit reached!
% 2.00/0.44 % (250229)------------------------------
% 2.00/0.44 % (250229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250229)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250229)Termination reason: Instruction limit
% 2.00/0.44 % (250229)Termination phase: Saturation
% 2.00/0.44 % (250229)Time elapsed: 0.070 s
% 2.00/0.44 % (250229)Peak memory usage: 15 MB
% 2.00/0.44 % (250229)Instructions burned: 321 (million)
% 2.00/0.44 % (250257)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2483114303:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 2.00/0.44 % (250247)Instruction limit reached!
% 2.00/0.44 % (250247)------------------------------
% 2.00/0.44 % (250247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250247)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250247)Termination reason: Instruction limit
% 2.00/0.44 % (250247)Termination phase: Saturation
% 2.00/0.44 % (250247)Time elapsed: 0.035 s
% 2.00/0.44 % (250247)Peak memory usage: 13 MB
% 2.00/0.44 % (250247)Instructions burned: 140 (million)
% 2.00/0.44 % (250238)Instruction limit reached!
% 2.00/0.44 % (250238)------------------------------
% 2.00/0.44 % (250238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250238)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250238)Termination reason: Instruction limit
% 2.00/0.44 % (250238)Termination phase: Saturation
% 2.00/0.44 % (250238)Time elapsed: 0.052 s
% 2.00/0.44 % (250238)Peak memory usage: 12 MB
% 2.00/0.44 % (250238)Instructions burned: 203 (million)
% 2.00/0.44 % (250257)Refutation not found, incomplete strategy
% 2.00/0.44 % (250257)------------------------------
% 2.00/0.44 % (250257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250257)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250257)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.44 % (250257)Time elapsed: 0.005 s
% 2.00/0.44 % (250257)Peak memory usage: 12 MB
% 2.00/0.44 % (250257)Instructions burned: 16 (million)
% 2.00/0.44 % (250257)------------------------------
% 2.00/0.44 % (250257)------------------------------
% 2.00/0.44 % (250252)Instruction limit reached!
% 2.00/0.44 % (250252)------------------------------
% 2.00/0.44 % (250252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250252)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250252)Termination reason: Instruction limit
% 2.00/0.44 % (250252)Termination phase: Saturation
% 2.00/0.44 % (250252)Time elapsed: 0.019 s
% 2.00/0.44 % (250252)Peak memory usage: 12 MB
% 2.00/0.44 % (250252)Instructions burned: 71 (million)
% 2.00/0.44 % (250258)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=889106542:cond=on:i=96:bd=all:rtra=on_2997 on theBenchmark for (2997ds/96Mi)
% 2.00/0.44 % (250260)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2640016841:i=427:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/427Mi)
% 2.00/0.44 % (250261)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2591132551:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/874Mi)
% 2.00/0.44 % (250262)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1116479083:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/515Mi)
% 2.00/0.44 % (250263)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3186719846:st=1.5:i=130:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/130Mi)
% 2.00/0.44 % (250263)Refutation not found, incomplete strategy
% 2.00/0.44 % (250263)------------------------------
% 2.00/0.44 % (250263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250263)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250263)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.44 % (250263)Time elapsed: 0.004 s
% 2.00/0.44 % (250263)Peak memory usage: 12 MB
% 2.00/0.44 % (250263)Instructions burned: 11 (million)
% 2.00/0.44 % (250263)------------------------------
% 2.00/0.44 % (250263)------------------------------
% 2.00/0.44 % (250269)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=559826845:i=44:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/44Mi)
% 2.00/0.44 % (250253)Instruction limit reached!
% 2.00/0.44 % (250253)------------------------------
% 2.00/0.44 % (250253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250253)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250253)Termination reason: Instruction limit
% 2.00/0.44 % (250253)Termination phase: Saturation
% 2.00/0.44 % (250253)Time elapsed: 0.043 s
% 2.00/0.44 % (250253)Peak memory usage: 14 MB
% 2.00/0.44 % (250253)Instructions burned: 183 (million)
% 2.00/0.44 % (250269)Refutation not found, incomplete strategy
% 2.00/0.44 % (250269)------------------------------
% 2.00/0.44 % (250269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250269)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250269)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.44 % (250269)Time elapsed: 0.002 s
% 2.00/0.44 % (250269)Peak memory usage: 12 MB
% 2.00/0.44 % (250269)Instructions burned: 8 (million)
% 2.00/0.44 % (250269)------------------------------
% 2.00/0.44 % (250269)------------------------------
% 2.00/0.44 % (250258)Instruction limit reached!
% 2.00/0.44 % (250258)------------------------------
% 2.00/0.44 % (250258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250258)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250258)Termination reason: Instruction limit
% 2.00/0.44 % (250258)Termination phase: Saturation
% 2.00/0.44 % (250258)Time elapsed: 0.027 s
% 2.00/0.44 % (250258)Peak memory usage: 12 MB
% 2.00/0.44 % (250258)Instructions burned: 96 (million)
% 2.00/0.44 % (250271)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3345629481:s2a=on:i=571:nm=16:rtra=on_2997 on theBenchmark for (2997ds/571Mi)
% 2.00/0.44 % (250272)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2551880014:i=450:rtra=on:ixr=off:ntd=on_2997 on theBenchmark for (2997ds/450Mi)
% 2.00/0.44 % (250273)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1908677425:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/95Mi)
% 2.00/0.44 % (250273) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-250109-250273"...
% 2.00/0.44 % (250273)...printing done.
% 2.00/0.44 % (250273)Refutation found. Thanks to Tanya!
% 2.00/0.44 % SZS status Theorem for theBenchmark
% 2.00/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 2.00/0.44 % (250273)------------------------------
% 2.00/0.44 % (250273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.44 % (250273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.44 % (250273)CaDiCaL version: 2.1.3
% 2.00/0.44 % (250273)Termination reason: Refutation
% 2.00/0.44 % (250273)Time elapsed: 0.018 s
% 2.00/0.44 % (250273)Peak memory usage: 13 MB
% 2.00/0.44 % (250273)Instructions burned: 60 (million)
% 2.00/0.44 % (250109)Success in time 0.3 s
% 2.00/0.44 % Vampire exiting
%------------------------------------------------------------------------------