%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV295^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 7.95s 1.69s
% Output : Refutation 7.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 7
% Syntax : Number of formulae : 75 ( 28 unt; 0 typ; 3 def)
% Number of atoms : 612 ( 158 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 1109 ( 104 ~; 61 |; 104 &; 683 @)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 418 ( 418 >; 0 *; 0 +; 0 <<)
% Number of symbols : 97 ( 92 usr; 8 con; 0-4 aty)
% ( 14 !!; 106 ??; 0 @@+; 0 @@-)
% Number of variables : 292 ( 0 sgn 76 !; 10 ?; 292 :)
% 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,
cINDUCTION: $o ).
thf(func_def_2,type,
cNAT: ( ( $i > $o ) > $o ) > $o ).
thf(func_def_3,type,
cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(func_def_4,type,
cZERO: ( $i > $o ) > $o ).
thf(func_def_6,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
vIMP: $o > $o > $o ).
thf(func_def_8,type,
vAND: $o > $o > $o ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_12,type,
vNOT: $o > $o ).
thf(func_def_13,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_14,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_15,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_18,type,
sK0: ( $i > $o ) > $o ).
thf(func_def_19,type,
sK1: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(func_def_20,type,
sK2: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(func_def_21,type,
sK3: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(func_def_22,type,
sK4: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(func_def_23,type,
sK5:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_24,type,
sK6:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_25,type,
sK7:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_27,type,
sK9:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_28,type,
sK10:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_29,type,
sK11:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_30,type,
sK12: $i > $o ).
thf(func_def_32,type,
sK14:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_33,type,
sK15:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_34,type,
sK16:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_35,type,
sK17:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_36,type,
sK18:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_37,type,
sK19:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_38,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_39,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_40,type,
sK20: ( $i > $o ) > $i ).
thf(func_def_41,type,
sK21:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > ( ( $i > $o ) > $o ) > X0 ) ).
thf(func_def_42,type,
sK22:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_43,type,
sK23:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_44,type,
sK24:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > ( ( $i > $o ) > $o ) > X0 ) ).
thf(func_def_45,type,
sK25:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_46,type,
sK26:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_47,type,
sK27:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_48,type,
sK28:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_49,type,
sK29:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_50,type,
sK30:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_51,type,
sK31:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_52,type,
sK32:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_53,type,
sK33:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_54,type,
sK34:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_55,type,
sK35:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_56,type,
sK36:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_57,type,
sK37:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_58,type,
sK38:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_59,type,
sK39:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_60,type,
sK40:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_61,type,
sK41:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_62,type,
sK42:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_63,type,
sK43:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_64,type,
sK44:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_65,type,
sK45:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_66,type,
sK46:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_67,type,
sK47:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_68,type,
sK48:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_69,type,
sK49:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_70,type,
sK50:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_71,type,
sK51:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_72,type,
sK52:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_73,type,
sK53:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_74,type,
sK54:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_75,type,
sK55:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_76,type,
sK56:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X1 > X0 ) ).
thf(func_def_77,type,
sK57: ( $i > $o ) > $i ).
thf(func_def_78,type,
sK58:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > ( ( $i > $o ) > $o ) > X0 ) ).
thf(func_def_79,type,
sK59:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_80,type,
sK60:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_81,type,
sK61:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_82,type,
sK62:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > X0 ) ).
thf(func_def_83,type,
sK63:
!>[X0: $tType] : ( ( ( ( $i > $o ) > $o ) > X0 > $o ) > ( ( $i > $o ) > $o ) > X0 ) ).
thf(func_def_84,type,
sK64:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_85,type,
sK65:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_86,type,
sK66:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_87,type,
sK67:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_88,type,
sK68:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_89,type,
sK69:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_90,type,
sK70:
!>[X0: $tType,X1: $tType] : ( ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_91,type,
sK71:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(func_def_92,type,
sK72:
!>[X0: $tType,X1: $tType] : ( X1 > ( ( ( $i > $o ) > $o ) > X1 > X0 > $o ) > X0 ) ).
thf(f1,axiom,
( ( ^ [X0: $i > $o] :
~ ? [X1: $i] : ( X0 @ X1 ) )
= cZERO ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cZERO_def) ).
thf(f2,axiom,
( cSUCC
= ( ^ [X0: ( $i > $o ) > $o,X1: $i > $o] :
? [X2: $i] :
( ( X1 @ X2 )
& ( X0
@ ^ [X3: $i] :
( ( X3 != X2 )
& ( X1 @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSUCC_def) ).
thf(f3,axiom,
( cNAT
= ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cSUCC @ X2 ) ) )
& ( X1 @ cZERO ) )
=> ( X1 @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cNAT_def) ).
thf(f5,conjecture,
( ( ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( r @ X0 @ X1 )
=> ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) ) )
& ( r @ cZERO @ cZERO )
& cINDUCTION )
=> ! [X0: ( $i > $o ) > $o] :
( ( cNAT @ X0 )
=> ? [X1: ( $i > $o ) > $o] : ( r @ X0 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM130_NAT) ).
thf(f6,negated_conjecture,
~ ( ( ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( r @ X0 @ X1 )
=> ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) ) )
& ( r @ cZERO @ cZERO )
& cINDUCTION )
=> ! [X0: ( $i > $o ) > $o] :
( ( cNAT @ X0 )
=> ? [X1: ( $i > $o ) > $o] : ( r @ X0 @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
thf(f7,plain,
( cNAT
= ( ^ [X0: ( $i > $o ) > $o] :
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ! [X2: ( $i > $o ) > $o] :
( ( X1 @ X2 )
=> ( X1 @ ( cSUCC @ X2 ) ) )
& ( X1 @ cZERO ) )
=> ( X1 @ X0 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f8,plain,
( cNAT
= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1 @ cZERO )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cSUCC @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( ( ^ [X0: $i > $o] :
~ ? [X1: $i] : ( X0 @ X1 ) )
= cZERO ),
inference(rectify,[],[f1]) ).
thf(f10,plain,
( cZERO
= ( ^ [Y0: $i > $o] :
~ ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f13,plain,
( cSUCC
= ( ^ [X0: ( $i > $o ) > $o,X1: $i > $o] :
? [X2: $i] :
( ( X1 @ X2 )
& ( X0
@ ^ [X3: $i] :
( ( X3 != X2 )
& ( X1 @ X3 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f14,plain,
( cSUCC
= ( ^ [Y0: ( $i > $o ) > $o,Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) )
& ( Y1 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
~ ( ( ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( r @ X0 @ X1 )
=> ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) ) )
& ( r @ cZERO @ cZERO )
& cINDUCTION )
=> ! [X2: ( $i > $o ) > $o] :
( ( cNAT @ X2 )
=> ? [X3: ( $i > $o ) > $o] : ( r @ X2 @ X3 ) ) ),
inference(rectify,[],[f6]) ).
thf(f16,plain,
~ ( ( ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r @ X0 @ X1 )
= $true )
=> ( ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) )
= $true ) )
& ( cINDUCTION = $true )
& ( ( r @ cZERO @ cZERO )
= $true ) )
=> ! [X2: ( $i > $o ) > $o] :
( ( ( cNAT @ X2 )
= $true )
=> ? [X3: ( $i > $o ) > $o] :
( ( r @ X2 @ X3 )
= $true ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
( ? [X2: ( $i > $o ) > $o] :
( ( ( cNAT @ X2 )
= $true )
& ! [X3: ( $i > $o ) > $o] :
( ( r @ X2 @ X3 )
!= $true ) )
& ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) )
= $true ) )
& ( cINDUCTION = $true )
& ( ( r @ cZERO @ cZERO )
= $true ) ),
inference(ennf_transformation,[],[f16]) ).
thf(f18,plain,
( ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) )
= $true ) )
& ? [X2: ( $i > $o ) > $o] :
( ( ( cNAT @ X2 )
= $true )
& ! [X3: ( $i > $o ) > $o] :
( ( r @ X2 @ X3 )
!= $true ) )
& ( cINDUCTION = $true )
& ( ( r @ cZERO @ cZERO )
= $true ) ),
inference(flattening,[],[f17]) ).
thf(f19,plain,
( ! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) )
= $true ) )
& ( ( cNAT @ sK0 )
= $true )
& ! [X3: ( $i > $o ) > $o] :
( ( r @ sK0 @ X3 )
!= $true )
& ( cINDUCTION = $true )
& ( ( r @ cZERO @ cZERO )
= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0)],[f18]) ).
thf(f20,plain,
( ( r @ cZERO @ cZERO )
= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f22,plain,
! [X3: ( $i > $o ) > $o] :
( ( r @ sK0 @ X3 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f23,plain,
( ( cNAT @ sK0 )
= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f24,plain,
! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( cSUCC @ X0 ) @ ( cSUCC @ X1 ) )
= $true ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f25,plain,
( cNAT
= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1 @ cZERO )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cSUCC @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f27,plain,
( cZERO
= ( ^ [Y0: $i > $o] :
~ ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f28,plain,
( cSUCC
= ( ^ [Y0: ( $i > $o ) > $o,Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) )
& ( Y1 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f31,plain,
( cNAT
= ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1
@ ^ [Y2: $i > $o] :
~ ( ?? @ $i
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1
@ ( ^ [Y3: ( $i > $o ) > $o,Y4: $i > $o] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( Y3
@ ^ [Y6: $i] :
( ( Y4 @ Y6 )
& ( Y5 != Y6 ) ) )
& ( Y4 @ Y5 ) ) )
@ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ),
inference(definition_unfolding,[],[f25,f27,f28]) ).
thf(f32,plain,
! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( $true
= ( r
@ ( ^ [Y0: ( $i > $o ) > $o,Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) )
& ( Y1 @ Y2 ) ) )
@ X0 )
@ ( ^ [Y0: ( $i > $o ) > $o,Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) )
& ( Y1 @ Y2 ) ) )
@ X1 ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(definition_unfolding,[],[f24,f28,f28]) ).
thf(f33,plain,
( ( ^ [Y0: ( $i > $o ) > $o] :
( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y1: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y1
@ ^ [Y2: $i > $o] :
~ ( ?? @ $i
@ ^ [Y3: $i] : ( Y2 @ Y3 ) ) )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y2: ( $i > $o ) > $o] :
( ( Y1 @ Y2 )
=> ( Y1
@ ( ^ [Y3: ( $i > $o ) > $o,Y4: $i > $o] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( Y3
@ ^ [Y6: $i] :
( ( Y4 @ Y6 )
& ( Y5 != Y6 ) ) )
& ( Y4 @ Y5 ) ) )
@ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK0 )
= $true ),
inference(definition_unfolding,[],[f23,f31]) ).
thf(f34,plain,
( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) )
= $true ),
inference(definition_unfolding,[],[f20,f27,f27]) ).
thf(f36,plain,
( ( !! @ ( ( ( $i > $o ) > $o ) > $o )
@ ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y0
@ ^ [Y1: $i > $o] :
~ ( ?? @ $i @ Y1 ) )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y3 != Y4 ) ) )
& ( Y2 @ Y3 ) ) ) ) ) ) )
=> ( Y0 @ sK0 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f37,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( $true
= ( ^ [Y0: ( ( $i > $o ) > $o ) > $o] :
( ( ( Y0
@ ^ [Y1: $i > $o] :
~ ( ?? @ $i @ Y1 ) )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y1: ( $i > $o ) > $o] :
( ( Y0 @ Y1 )
=> ( Y0
@ ^ [Y2: $i > $o] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1
@ ^ [Y4: $i] :
( ( Y2 @ Y4 )
& ( Y3 != Y4 ) ) )
& ( Y2 @ Y3 ) ) ) ) ) ) )
=> ( Y0 @ sK0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f36]) ).
thf(f38,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) )
& ( Y1 @ Y2 ) ) ) ) ) ) )
=> ( X1 @ sK0 ) )
= $true ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
& ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) )
& ( Y1 @ Y2 ) ) ) ) ) ) )
= $false )
| ( $true
= ( X1 @ sK0 ) ) ),
inference(imp_proxy_clausification,[],[f38]) ).
thf(f40,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( $false
= ( !! @ ( ( $i > $o ) > $o )
@ ^ [Y0: ( $i > $o ) > $o] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) )
& ( Y1 @ Y2 ) ) ) ) ) ) )
| ( $true
= ( X1 @ sK0 ) )
| ( $false
= ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) ) ),
inference(and_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( $true
= ( X1 @ sK0 ) )
| ( $false
= ( ^ [Y0: ( $i > $o ) > $o] :
( ( X1 @ Y0 )
=> ( X1
@ ^ [Y1: $i > $o] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( Y2 != Y3 ) ) )
& ( Y1 @ Y2 ) ) ) ) )
@ ( sK1 @ X1 ) ) )
| ( $false
= ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) ) ),
inference(sigma_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( $false
= ( ( X1 @ ( sK1 @ X1 ) )
=> ( X1
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ X1
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) )
| ( $false
= ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
| ( $true
= ( X1 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f43,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ X1
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) )
= $false )
| ( $false
= ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
| ( $true
= ( X1 @ sK0 ) ) ),
inference(imp_proxy_clausification,[],[f42]) ).
thf(f44,plain,
! [X1: ( ( $i > $o ) > $o ) > $o] :
( ( ( X1 @ ( sK1 @ X1 ) )
= $true )
| ( $true
= ( X1 @ sK0 ) )
| ( $false
= ( X1
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) ) ),
inference(imp_proxy_clausification,[],[f42]) ).
thf(f45,plain,
( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) )
= $true ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f75,plain,
! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( X0
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( X1
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f32]) ).
thf(f115,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 )
| ( $false
= ( ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(primitive_instantiation,[],[f43]) ).
thf(f124,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ?? @ X1 @ ( X2 @ sK0 ) )
= $true )
| ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) )
= $false )
| ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false ) ),
inference(beta-eta_normalization,[],[f115]) ).
thf(f125,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) )
= $false )
| ( ( X2 @ sK0 @ ( sK11 @ X1 @ X2 ) )
= $true )
| ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false ) ),
inference(sigma_proxy_clausification,[],[f124]) ).
thf(f126,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1] :
( ( $false
= ( X2
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ X3 ) )
| ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false )
| ( ( X2 @ sK0 @ ( sK11 @ X1 @ X2 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f125]) ).
thf(f127,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1,X4: X1] :
( ( $false
= ( X2
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ X3 ) )
| ( ( X2 @ sK0 @ ( sK11 @ X1 @ X2 ) )
= $true )
| ( ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X4 )
= $false ) ),
inference(pi_proxy_clausification,[],[f126]) ).
thf(f183,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ^ [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 )
| ( ( ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) )
@ sK0 )
= $true ) ),
inference(primitive_instantiation,[],[f44]) ).
thf(f197,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ?? @ X1 @ ( X2 @ sK0 ) )
= $true )
| ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false )
| ( $true
= ( ?? @ X1
@ ( X2
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f183]) ).
thf(f198,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o] :
( ( ( ?? @ X1
@ ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 ) ) )
= $false )
| ( $true
= ( ?? @ X1
@ ( X2
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) ) ) ) )
| ( ( X2 @ sK0 @ ( sK15 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f197]) ).
thf(f199,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1] :
( ( $true
= ( ?? @ X1
@ ( X2
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) ) ) ) )
| ( ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X3 )
= $false )
| ( ( X2 @ sK0 @ ( sK15 @ X1 @ X2 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f198]) ).
thf(f200,plain,
! [X1: $tType,X2: ( ( $i > $o ) > $o ) > X1 > $o,X3: X1] :
( ( ( X2
@ ( sK1
@ ^ [Y0: ( $i > $o ) > $o] : ( ?? @ X1 @ ( X2 @ Y0 ) ) )
@ ( sK16 @ X1 @ X2 ) )
= $true )
| ( ( X2
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X3 )
= $false )
| ( ( X2 @ sK0 @ ( sK15 @ X1 @ X2 ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f199]) ).
thf(f483,definition,
( spl8_16
<=> ! [X0: ( $i > $o ) > $o] :
( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl8_16])],[avatar_definition]) ).
thf(f484,plain,
( ! [X0: ( $i > $o ) > $o] :
( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ~ spl8_16 ),
inference(avatar_component_clause,[],[f483]) ).
thf(f495,plain,
! [X0: ( $i > $o ) > $o] :
( ( $true != $true )
| ( $true
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK16 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) )
| ( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ( ( r @ sK0 @ ( sK15 @ ( ( $i > $o ) > $o ) @ r ) )
= $true ) ),
inference(constrained_superposition,[],[f75,f200]) ).
thf(f517,plain,
! [X0: ( $i > $o ) > $o] :
( ( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ( $true
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK16 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) )
| ( ( r @ sK0 @ ( sK15 @ ( ( $i > $o ) > $o ) @ r ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f495]) ).
thf(f525,plain,
! [X0: ( $i > $o ) > $o] :
( ( ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X0 )
= $false )
| ( $true
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK16 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) ),
inference(forward_subsumption_resolution,[],[f517,f22]) ).
thf(f527,definition,
( spl8_17
<=> ( $true
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK16 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl8_17])],[avatar_definition]) ).
thf(f529,plain,
( ( $true
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK16 @ ( ( $i > $o ) > $o ) @ r
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) ) ) )
| ~ spl8_17 ),
inference(avatar_component_clause,[],[f527]) ).
thf(f530,plain,
( spl8_16
| spl8_17 ),
inference(avatar_split_clause,[],[f525,f527,f483]) ).
thf(f531,plain,
( ( $false = $true )
| ~ spl8_16 ),
inference(backward_demodulation,[],[f45,f484]) ).
thf(f532,plain,
( $false
| ~ spl8_16 ),
inference(trivial_inequality_removal,[],[f531]) ).
thf(f533,plain,
~ spl8_16,
inference(avatar_contradiction_clause,[],[f532]) ).
thf(f636,plain,
! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( $false
= ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X1 ) )
| ( $true != $true )
| ( $false
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ X0 ) ) ),
inference(constrained_superposition,[],[f22,f127]) ).
thf(f644,plain,
! [X0: ( $i > $o ) > $o,X1: ( $i > $o ) > $o] :
( ( $false
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ X0 ) )
| ( $false
= ( r
@ ^ [Y0: $i > $o] :
~ ( ?? @ $i @ Y0 )
@ X1 ) ) ),
inference(trivial_inequality_removal,[],[f636]) ).
thf(f691,definition,
( spl8_18
<=> ! [X0: ( $i > $o ) > $o] :
( $false
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl8_18])],[avatar_definition]) ).
thf(f692,plain,
( ! [X0: ( $i > $o ) > $o] :
( $false
= ( r
@ ^ [Y0: $i > $o] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1
@ ^ [Y2: ( $i > $o ) > $o] : ( ?? @ ( ( $i > $o ) > $o ) @ ( r @ Y2 ) )
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
& ( Y1 != Y2 ) ) )
& ( Y0 @ Y1 ) ) )
@ X0 ) )
| ~ spl8_18 ),
inference(avatar_component_clause,[],[f691]) ).
thf(f693,plain,
( spl8_18
| spl8_16 ),
inference(avatar_split_clause,[],[f644,f483,f691]) ).
thf(f700,plain,
( ( $false = $true )
| ~ spl8_17
| ~ spl8_18 ),
inference(backward_demodulation,[],[f529,f692]) ).
thf(f703,plain,
( $false
| ~ spl8_17
| ~ spl8_18 ),
inference(trivial_inequality_removal,[],[f700]) ).
thf(f704,plain,
( ~ spl8_17
| ~ spl8_18 ),
inference(avatar_contradiction_clause,[],[f703]) ).
cnf(s14,plain,
( spl8_16
| spl8_17 ),
inference(sat_conversion,[],[f530]) ).
cnf(s15,plain,
~ spl8_16,
inference(sat_conversion,[],[f533]) ).
cnf(s16,plain,
( spl8_16
| spl8_18 ),
inference(sat_conversion,[],[f693]) ).
cnf(s19,plain,
( ~ spl8_17
| ~ spl8_18 ),
inference(sat_conversion,[],[f704]) ).
cnf(s20,plain,
spl8_18,
inference(rat,[],[s16,s15]) ).
cnf(s21,plain,
~ spl8_17,
inference(rat,[],[s19,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s14,s21,s15]) ).
thf(f705,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV295^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n020.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Tue Sep 29 15:32:35 UTC 2026
% 0.11/0.28 % CPUTime :
% 0.11/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.33 Running higher-order theorem proving
% 0.11/0.34 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/0.56 % (1189998)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.07/0.56 % (1190005)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=434891541:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.07/0.56 % (1190005)Instruction limit reached!
% 1.07/0.56 % (1190005)------------------------------
% 1.07/0.56 % (1190005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (1190005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (1190005)CaDiCaL version: 2.1.3
% 1.07/0.56 % (1190005)Termination reason: Instruction limit
% 1.07/0.56 % (1190005)Termination phase: Saturation
% 1.07/0.56 % (1190005)Time elapsed: 0.003 s
% 1.07/0.56 % (1190005)Peak memory usage: 12 MB
% 1.07/0.56 % (1190005)Instructions burned: 6 (million)
% 1.07/0.56 % (1190009)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.07/0.56 % (1190009)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
% 1.07/0.56 % (1190003)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1159017634:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.07/0.56 % (1190004)lrs+10_16_si=on:nwc=1.5:random_seed=2694793750:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.07/0.56 % (1190008)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3525211202:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.07/0.56 % (1190009)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=1290090008:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.07/0.56 % (1190007)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=864554377:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.07/0.56 % (1190006)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=2681159455: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)
% 1.07/0.56 % (1190004)Instruction limit reached!
% 1.07/0.56 % (1190004)------------------------------
% 1.07/0.56 % (1190004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (1190004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (1190004)CaDiCaL version: 2.1.3
% 1.07/0.56 % (1190004)Termination reason: Instruction limit
% 1.07/0.56 % (1190004)Termination phase: Saturation
% 1.07/0.56 % (1190004)Time elapsed: 0.018 s
% 1.07/0.56 % (1190004)Peak memory usage: 12 MB
% 1.07/0.56 % (1190004)Instructions burned: 19 (million)
% 1.07/0.56 % (1190011)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1371687165:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.07/0.56 % (1190011)Instruction limit reached!
% 1.07/0.56 % (1190011)------------------------------
% 1.07/0.56 % (1190011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (1190011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (1190011)CaDiCaL version: 2.1.3
% 1.07/0.56 % (1190011)Termination reason: Instruction limit
% 1.07/0.56 % (1190011)Termination phase: Saturation
% 1.07/0.56 % (1190011)Time elapsed: 0.003 s
% 1.07/0.56 % (1190011)Peak memory usage: 11 MB
% 1.07/0.56 % (1190011)Instructions burned: 3 (million)
% 1.07/0.56 % (1190007)Instruction limit reached!
% 1.07/0.56 % (1190007)------------------------------
% 1.07/0.56 % (1190007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.56 % (1190007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.56 % (1190007)CaDiCaL version: 2.1.3
% 1.07/0.56 % (1190007)Termination reason: Instruction limit
% 1.07/0.56 % (1190007)Termination phase: Saturation
% 1.07/0.56 % (1190007)Time elapsed: 0.023 s
% 1.07/0.56 % (1190007)Peak memory usage: 12 MB
% 1.07/0.56 % (1190007)Instructions burned: 24 (million)
% 1.07/0.56 % (1190018)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3415972750:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.07/0.61 % (1190018)Instruction limit reached!
% 1.07/0.61 % (1190018)------------------------------
% 1.07/0.61 % (1190018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.61 % (1190018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.61 % (1190018)CaDiCaL version: 2.1.3
% 1.07/0.61 % (1190018)Termination reason: Instruction limit
% 1.07/0.61 % (1190018)Termination phase: Saturation
% 1.07/0.61 % (1190018)Time elapsed: 0.005 s
% 1.07/0.61 % (1190018)Peak memory usage: 11 MB
% 1.07/0.61 % (1190018)Instructions burned: 5 (million)
% 1.07/0.61 % (1190009)Refutation not found, incomplete strategy
% 1.07/0.61 % (1190009)------------------------------
% 1.07/0.61 % (1190009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.61 % (1190009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.61 % (1190009)CaDiCaL version: 2.1.3
% 1.07/0.61 % (1190009)Termination reason: Refutation not found, incomplete strategy
% 1.07/0.61 % (1190009)Time elapsed: 0.063 s
% 1.07/0.61 % (1190009)Peak memory usage: 12 MB
% 1.07/0.61 % (1190009)Instructions burned: 72 (million)
% 1.07/0.61 % (1190020)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.61 % (1190021)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1414922172:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.07/0.61 % (1190009)------------------------------
% 1.07/0.61 % (1190009)------------------------------
% 1.07/0.61 % (1190008)Instruction limit reached!
% 1.07/0.61 % (1190008)------------------------------
% 1.07/0.61 % (1190008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.61 % (1190008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.61 % (1190008)CaDiCaL version: 2.1.3
% 1.07/0.61 % (1190008)Termination reason: Instruction limit
% 1.07/0.61 % (1190008)Termination phase: Saturation
% 1.07/0.61 % (1190008)Time elapsed: 0.067 s
% 1.07/0.61 % (1190008)Peak memory usage: 13 MB
% 1.07/0.61 % (1190008)Instructions burned: 75 (million)
% 1.07/0.61 % (1190020)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2378961469:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.07/0.61 % (1190021)Instruction limit reached!
% 1.07/0.61 % (1190021)------------------------------
% 1.07/0.61 % (1190021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.61 % (1190021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.61 % (1190021)CaDiCaL version: 2.1.3
% 1.07/0.61 % (1190021)Termination reason: Instruction limit
% 1.07/0.61 % (1190021)Termination phase: Saturation
% 1.07/0.61 % (1190021)Time elapsed: 0.013 s
% 1.07/0.61 % (1190021)Peak memory usage: 12 MB
% 1.07/0.61 % (1190021)Instructions burned: 13 (million)
% 1.07/0.61 % (1190003)Instruction limit reached!
% 1.07/0.61 % (1190003)------------------------------
% 1.07/0.61 % (1190003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.61 % (1190003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.07/0.61 % (1190003)CaDiCaL version: 2.1.3
% 1.07/0.61 % (1190003)Termination reason: Instruction limit
% 1.07/0.61 % (1190003)Termination phase: Saturation
% 1.07/0.61 % (1190003)Time elapsed: 0.081 s
% 1.07/0.61 % (1190003)Peak memory usage: 12 MB
% 1.07/0.61 % (1190003)Instructions burned: 88 (million)
% 1.07/0.61 % (1190023)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
% 1.07/0.61 % (1190023)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.07/0.61 % (1190025)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=2709485193:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.07/0.61 % (1190020)Instruction limit reached!
% 1.07/0.61 % (1190020)------------------------------
% 1.07/0.61 % (1190020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.07/0.61 % (1190020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (1190020)CaDiCaL version: 2.1.3
% 2.03/0.69 % (1190020)Termination reason: Instruction limit
% 2.03/0.69 % (1190020)Termination phase: Saturation
% 2.03/0.69 % (1190020)Time elapsed: 0.009 s
% 2.03/0.69 % (1190020)Peak memory usage: 12 MB
% 2.03/0.69 % (1190020)Instructions burned: 8 (million)
% 2.03/0.69 % (1190023)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4273836491:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 2.03/0.69 % (1190026)lrs+10_1_si=on:cs=on:random_seed=3724274053:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.03/0.69 % (1190028)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 2.03/0.69 % (1190026)Instruction limit reached!
% 2.03/0.69 % (1190026)------------------------------
% 2.03/0.69 % (1190026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (1190026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (1190026)CaDiCaL version: 2.1.3
% 2.03/0.69 % (1190026)Termination reason: Instruction limit
% 2.03/0.69 % (1190026)Termination phase: Saturation
% 2.03/0.69 % (1190026)Time elapsed: 0.007 s
% 2.03/0.69 % (1190026)Peak memory usage: 11 MB
% 2.03/0.69 % (1190026)Instructions burned: 8 (million)
% 2.03/0.69 % (1190028)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=2016337678:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.03/0.69 % (1190023)Instruction limit reached!
% 2.03/0.69 % (1190023)------------------------------
% 2.03/0.69 % (1190023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (1190023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (1190023)CaDiCaL version: 2.1.3
% 2.03/0.69 % (1190023)Termination reason: Instruction limit
% 2.03/0.69 % (1190023)Termination phase: Saturation
% 2.03/0.69 % (1190023)Time elapsed: 0.025 s
% 2.03/0.69 % (1190023)Peak memory usage: 12 MB
% 2.03/0.69 % (1190023)Instructions burned: 29 (million)
% 2.03/0.69 % (1190028)Instruction limit reached!
% 2.03/0.69 % (1190028)------------------------------
% 2.03/0.69 % (1190028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (1190028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (1190028)CaDiCaL version: 2.1.3
% 2.03/0.69 % (1190028)Termination reason: Instruction limit
% 2.03/0.69 % (1190028)Termination phase: Property scanning
% 2.03/0.69 % (1190028)Time elapsed: 0.003 s
% 2.03/0.69 % (1190028)Peak memory usage: 10 MB
% 2.03/0.69 % (1190028)Instructions burned: 2 (million)
% 2.03/0.69 % (1190029)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1734662448:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 2.03/0.69 % (1190025)Instruction limit reached!
% 2.03/0.69 % (1190025)------------------------------
% 2.03/0.69 % (1190025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.69 % (1190025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.69 % (1190025)CaDiCaL version: 2.1.3
% 2.03/0.69 % (1190025)Termination reason: Instruction limit
% 2.03/0.69 % (1190025)Termination phase: Saturation
% 2.03/0.69 % (1190025)Time elapsed: 0.035 s
% 2.03/0.69 % (1190025)Peak memory usage: 13 MB
% 2.03/0.69 % (1190025)Instructions burned: 88 (million)
% 2.03/0.69 % (1190032)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2256978242:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 2.03/0.69 % (1190034)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1014517502:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.03/0.69 % (1190036)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2857531603:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.03/0.69 % (1190037)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3745759033:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.03/0.69 % (1190039)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3881458655:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.45/0.78 % (1190029)Instruction limit reached!
% 2.45/0.78 % (1190029)------------------------------
% 2.45/0.78 % (1190029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.78 % (1190029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.78 % (1190029)CaDiCaL version: 2.1.3
% 2.45/0.78 % (1190029)Termination reason: Instruction limit
% 2.45/0.78 % (1190029)Termination phase: Saturation
% 2.45/0.78 % (1190029)Time elapsed: 0.039 s
% 2.45/0.78 % (1190029)Peak memory usage: 13 MB
% 2.45/0.78 % (1190029)Instructions burned: 38 (million)
% 2.45/0.78 % (1190036)Instruction limit reached!
% 2.45/0.78 % (1190036)------------------------------
% 2.45/0.78 % (1190036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.78 % (1190036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.78 % (1190036)CaDiCaL version: 2.1.3
% 2.45/0.78 % (1190036)Termination reason: Instruction limit
% 2.45/0.78 % (1190036)Termination phase: Saturation
% 2.45/0.78 % (1190036)Time elapsed: 0.014 s
% 2.45/0.78 % (1190036)Peak memory usage: 12 MB
% 2.45/0.78 % (1190036)Instructions burned: 14 (million)
% 2.45/0.78 % (1190034)Instruction limit reached!
% 2.45/0.78 % (1190034)------------------------------
% 2.45/0.78 % (1190034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.78 % (1190034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.78 % (1190034)CaDiCaL version: 2.1.3
% 2.45/0.78 % (1190034)Termination reason: Instruction limit
% 2.45/0.78 % (1190034)Termination phase: Saturation
% 2.45/0.78 % (1190034)Time elapsed: 0.026 s
% 2.45/0.78 % (1190034)Peak memory usage: 12 MB
% 2.45/0.78 % (1190034)Instructions burned: 26 (million)
% 2.45/0.78 % (1190039)Instruction limit reached!
% 2.45/0.78 % (1190039)------------------------------
% 2.45/0.78 % (1190039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.78 % (1190039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.78 % (1190039)CaDiCaL version: 2.1.3
% 2.45/0.78 % (1190039)Termination reason: Instruction limit
% 2.45/0.78 % (1190039)Termination phase: Saturation
% 2.45/0.78 % (1190039)Time elapsed: 0.017 s
% 2.45/0.78 % (1190039)Peak memory usage: 12 MB
% 2.45/0.78 % (1190039)Instructions burned: 14 (million)
% 2.45/0.78 % (1190045)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3198159183:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 2.45/0.78 % (1190045)Instruction limit reached!
% 2.45/0.78 % (1190045)------------------------------
% 2.45/0.78 % (1190045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.78 % (1190045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/0.78 % (1190045)CaDiCaL version: 2.1.3
% 2.45/0.78 % (1190045)Termination reason: Instruction limit
% 2.45/0.78 % (1190045)Termination phase: Property scanning
% 2.45/0.78 % (1190045)Time elapsed: 0.002 s
% 2.45/0.78 % (1190045)Peak memory usage: 11 MB
% 2.45/0.78 % (1190045)Instructions burned: 3 (million)
% 2.45/0.78 % (1190046)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3058431728:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.45/0.78 % (1190050)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
% 2.45/0.78 % (1190050)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.45/0.78 % (1190050)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=3196874094:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.45/0.78 % (1190047)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3952711729:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.45/0.78 % (1190050)Instruction limit reached!
% 2.45/0.78 % (1190050)------------------------------
% 2.45/0.78 % (1190050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.45/0.78 % (1190048)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=757736974:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 3.24/0.90 % (1190050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.90 % (1190050)CaDiCaL version: 2.1.3
% 3.24/0.90 % (1190050)Termination reason: Instruction limit
% 3.24/0.90 % (1190050)Termination phase: Saturation
% 3.24/0.90 % (1190050)Time elapsed: 0.007 s
% 3.24/0.90 % (1190050)Peak memory usage: 12 MB
% 3.24/0.90 % (1190050)Instructions burned: 14 (million)
% 3.24/0.90 % (1190046)Instruction limit reached!
% 3.24/0.90 % (1190046)------------------------------
% 3.24/0.90 % (1190046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.90 % (1190046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.90 % (1190046)CaDiCaL version: 2.1.3
% 3.24/0.90 % (1190046)Termination reason: Instruction limit
% 3.24/0.90 % (1190046)Termination phase: Saturation
% 3.24/0.90 % (1190046)Time elapsed: 0.024 s
% 3.24/0.90 % (1190046)Peak memory usage: 12 MB
% 3.24/0.90 % (1190046)Instructions burned: 27 (million)
% 3.24/0.90 % (1190047)Instruction limit reached!
% 3.24/0.90 % (1190047)------------------------------
% 3.24/0.90 % (1190047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.90 % (1190047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.90 % (1190047)CaDiCaL version: 2.1.3
% 3.24/0.90 % (1190047)Termination reason: Instruction limit
% 3.24/0.90 % (1190047)Termination phase: Saturation
% 3.24/0.90 % (1190055)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 3.24/0.90 % (1190047)Time elapsed: 0.022 s
% 3.24/0.90 % (1190047)Peak memory usage: 11 MB
% 3.24/0.90 % (1190047)Instructions burned: 23 (million)
% 3.24/0.90 % (1190055)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=3244831820:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 3.24/0.90 % (1190055)Instruction limit reached!
% 3.24/0.90 % (1190055)------------------------------
% 3.24/0.90 % (1190055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.90 % (1190055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.90 % (1190055)CaDiCaL version: 2.1.3
% 3.24/0.90 % (1190055)Termination reason: Instruction limit
% 3.24/0.90 % (1190055)Termination phase: Saturation
% 3.24/0.90 % (1190055)Time elapsed: 0.005 s
% 3.24/0.90 % (1190055)Peak memory usage: 12 MB
% 3.24/0.90 % (1190055)Instructions burned: 9 (million)
% 3.24/0.90 % (1190056)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=3478509947:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 3.24/0.90 % (1190057)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1744011992:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 3.24/0.90 % (1190057)Instruction limit reached!
% 3.24/0.90 % (1190057)------------------------------
% 3.24/0.90 % (1190057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.90 % (1190057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.90 % (1190057)CaDiCaL version: 2.1.3
% 3.24/0.90 % (1190057)Termination reason: Instruction limit
% 3.24/0.90 % (1190057)Termination phase: Saturation
% 3.24/0.90 % (1190057)Time elapsed: 0.007 s
% 3.24/0.90 % (1190057)Peak memory usage: 12 MB
% 3.24/0.90 % (1190057)Instructions burned: 7 (million)
% 3.24/0.90 % (1190059)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=991312617:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 3.24/0.90 % (1190048)Instruction limit reached!
% 3.24/0.90 % (1190048)------------------------------
% 3.24/0.90 % (1190048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.90 % (1190048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.90 % (1190048)CaDiCaL version: 2.1.3
% 3.24/0.90 % (1190048)Termination reason: Instruction limit
% 3.24/0.90 % (1190048)Termination phase: Saturation
% 3.24/0.90 % (1190048)Time elapsed: 0.060 s
% 3.24/0.90 % (1190048)Peak memory usage: 13 MB
% 3.24/0.90 % (1190048)Instructions burned: 61 (million)
% 3.24/0.90 % (1190062)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1823640004:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/20Mi)
% 3.24/0.90 % (1190056)Instruction limit reached!
% 3.24/0.90 % (1190056)------------------------------
% 3.24/0.97 % (1190056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.97 % (1190056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.97 % (1190056)CaDiCaL version: 2.1.3
% 3.24/0.97 % (1190056)Termination reason: Instruction limit
% 3.24/0.97 % (1190056)Termination phase: Saturation
% 3.24/0.97 % (1190056)Time elapsed: 0.027 s
% 3.24/0.97 % (1190056)Peak memory usage: 12 MB
% 3.24/0.97 % (1190056)Instructions burned: 31 (million)
% 3.24/0.97 % (1190059)Instruction limit reached!
% 3.24/0.97 % (1190059)------------------------------
% 3.24/0.97 % (1190059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.97 % (1190059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.97 % (1190059)CaDiCaL version: 2.1.3
% 3.24/0.97 % (1190059)Termination reason: Instruction limit
% 3.24/0.97 % (1190059)Termination phase: Saturation
% 3.24/0.97 % (1190059)Time elapsed: 0.018 s
% 3.24/0.97 % (1190059)Peak memory usage: 11 MB
% 3.24/0.97 % (1190059)Instructions burned: 23 (million)
% 3.24/0.97 % (1190062)Instruction limit reached!
% 3.24/0.97 % (1190062)------------------------------
% 3.24/0.97 % (1190062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.97 % (1190062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.97 % (1190062)CaDiCaL version: 2.1.3
% 3.24/0.97 % (1190062)Termination reason: Instruction limit
% 3.24/0.97 % (1190062)Termination phase: Saturation
% 3.24/0.97 % (1190062)Time elapsed: 0.011 s
% 3.24/0.97 % (1190062)Peak memory usage: 12 MB
% 3.24/0.97 % (1190062)Instructions burned: 22 (million)
% 3.24/0.97 % (1190064)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2341767678:i=1240:rtra=on:ixr=off_2996 on theBenchmark for (2996ds/1240Mi)
% 3.24/0.97 % (1190068)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2021489143:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 3.24/0.97 % (1190066)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3323109875:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2996 on theBenchmark for (2996ds/143Mi)
% 3.24/0.97 % (1190067)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1355753562:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 3.24/0.97 % (1190068)Instruction limit reached!
% 3.24/0.97 % (1190068)------------------------------
% 3.24/0.97 % (1190068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.97 % (1190068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.97 % (1190068)CaDiCaL version: 2.1.3
% 3.24/0.97 % (1190068)Termination reason: Instruction limit
% 3.24/0.97 % (1190068)Termination phase: Saturation
% 3.24/0.97 % (1190068)Time elapsed: 0.020 s
% 3.24/0.97 % (1190068)Peak memory usage: 12 MB
% 3.24/0.97 % (1190068)Instructions burned: 43 (million)
% 3.24/0.97 % (1190032)Instruction limit reached!
% 3.24/0.97 % (1190032)------------------------------
% 3.24/0.97 % (1190032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.97 % (1190032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.97 % (1190032)CaDiCaL version: 2.1.3
% 3.24/0.97 % (1190032)Termination reason: Instruction limit
% 3.24/0.97 % (1190032)Termination phase: Saturation
% 3.24/0.97 % (1190032)Time elapsed: 0.220 s
% 3.24/0.97 % (1190032)Peak memory usage: 13 MB
% 3.24/0.97 % (1190032)Instructions burned: 249 (million)
% 3.24/0.97 % (1190073)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.24/0.97 % (1190073)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2780396189:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.24/0.97 % (1190073)Instruction limit reached!
% 3.24/0.97 % (1190073)------------------------------
% 3.24/0.97 % (1190073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.24/0.97 % (1190073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.24/0.97 % (1190073)CaDiCaL version: 2.1.3
% 3.24/0.97 % (1190073)Termination reason: Instruction limit
% 3.24/0.97 % (1190073)Termination phase: Saturation
% 3.24/0.97 % (1190073)Time elapsed: 0.004 s
% 3.24/0.97 % (1190073)Peak memory usage: 12 MB
% 3.24/0.97 % (1190073)Instructions burned: 9 (million)
% 4.82/1.09 % (1190076)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=3996770905:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2995 on theBenchmark for (2995ds/169Mi)
% 4.82/1.09 % (1190074)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1905542905:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 4.82/1.09 % (1190076)Instruction limit reached!
% 4.82/1.09 % (1190076)------------------------------
% 4.82/1.09 % (1190076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/1.09 % (1190076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/1.09 % (1190076)CaDiCaL version: 2.1.3
% 4.82/1.09 % (1190076)Termination reason: Instruction limit
% 4.82/1.09 % (1190076)Termination phase: Saturation
% 4.82/1.09 % (1190076)Time elapsed: 0.068 s
% 4.82/1.09 % (1190076)Peak memory usage: 15 MB
% 4.82/1.09 % (1190076)Instructions burned: 172 (million)
% 4.82/1.09 % (1190037)Instruction limit reached!
% 4.82/1.09 % (1190037)------------------------------
% 4.82/1.09 % (1190037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/1.09 % (1190037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/1.09 % (1190037)CaDiCaL version: 2.1.3
% 4.82/1.09 % (1190037)Termination reason: Instruction limit
% 4.82/1.09 % (1190037)Termination phase: Saturation
% 4.82/1.09 % (1190037)Time elapsed: 0.292 s
% 4.82/1.09 % (1190037)Peak memory usage: 14 MB
% 4.82/1.09 % (1190037)Instructions burned: 327 (million)
% 4.82/1.09 % (1190066)Instruction limit reached!
% 4.82/1.09 % (1190066)------------------------------
% 4.82/1.09 % (1190066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/1.09 % (1190066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/1.09 % (1190066)CaDiCaL version: 2.1.3
% 4.82/1.09 % (1190066)Termination reason: Instruction limit
% 4.82/1.09 % (1190066)Termination phase: Saturation
% 4.82/1.09 % (1190066)Time elapsed: 0.130 s
% 4.82/1.09 % (1190066)Peak memory usage: 13 MB
% 4.82/1.09 % (1190066)Instructions burned: 146 (million)
% 4.82/1.09 % (1190079)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 4.82/1.09 % (1190080)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1683327536:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.82/1.09 % (1190079)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2372451118:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2995 on theBenchmark for (2995ds/6Mi)
% 4.82/1.09 % (1190081)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=213770368:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 4.82/1.09 % (1190079)Instruction limit reached!
% 4.82/1.09 % (1190079)------------------------------
% 4.82/1.09 % (1190079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/1.09 % (1190079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/1.09 % (1190079)CaDiCaL version: 2.1.3
% 4.82/1.09 % (1190079)Termination reason: Instruction limit
% 4.82/1.09 % (1190079)Termination phase: Saturation
% 4.82/1.09 % (1190079)Time elapsed: 0.006 s
% 4.82/1.09 % (1190079)Peak memory usage: 11 MB
% 4.82/1.09 % (1190079)Instructions burned: 6 (million)
% 4.82/1.09 % (1190081)Instruction limit reached!
% 4.82/1.09 % (1190081)------------------------------
% 4.82/1.09 % (1190081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/1.09 % (1190081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/1.09 % (1190081)CaDiCaL version: 2.1.3
% 4.82/1.09 % (1190081)Termination reason: Instruction limit
% 4.82/1.09 % (1190081)Termination phase: Saturation
% 4.82/1.09 % (1190081)Time elapsed: 0.018 s
% 4.82/1.09 % (1190081)Peak memory usage: 12 MB
% 4.82/1.09 % (1190081)Instructions burned: 19 (million)
% 4.82/1.09 % (1190080)Instruction limit reached!
% 4.82/1.09 % (1190080)------------------------------
% 4.82/1.09 % (1190080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.82/1.09 % (1190080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.82/1.09 % (1190080)CaDiCaL version: 2.1.3
% 4.82/1.09 % (1190080)Termination reason: Instruction limit
% 5.70/1.21 % (1190080)Termination phase: Saturation
% 5.70/1.21 % (1190080)Time elapsed: 0.022 s
% 5.70/1.21 % (1190080)Peak memory usage: 12 MB
% 5.70/1.21 % (1190080)Instructions burned: 23 (million)
% 5.70/1.21 % (1190006)Instruction limit reached!
% 5.70/1.21 % (1190006)------------------------------
% 5.70/1.21 % (1190006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.21 % (1190006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.21 % (1190006)CaDiCaL version: 2.1.3
% 5.70/1.21 % (1190006)Termination reason: Instruction limit
% 5.70/1.21 % (1190006)Termination phase: Saturation
% 5.70/1.21 % (1190006)Time elapsed: 0.488 s
% 5.70/1.21 % (1190006)Peak memory usage: 14 MB
% 5.70/1.21 % (1190006)Instructions burned: 634 (million)
% 5.70/1.21 % (1190067)Instruction limit reached!
% 5.70/1.21 % (1190067)------------------------------
% 5.70/1.21 % (1190067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.21 % (1190067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.21 % (1190067)CaDiCaL version: 2.1.3
% 5.70/1.21 % (1190067)Termination reason: Instruction limit
% 5.70/1.21 % (1190067)Termination phase: Saturation
% 5.70/1.21 % (1190067)Time elapsed: 0.181 s
% 5.70/1.21 % (1190067)Peak memory usage: 13 MB
% 5.70/1.21 % (1190067)Instructions burned: 193 (million)
% 5.70/1.21 % (1190085)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=454412264:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/316Mi)
% 5.70/1.21 % (1190086)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=3366621122:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2994 on theBenchmark for (2994ds/853Mi)
% 5.70/1.21 % (1190087)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=2613220590:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2994 on theBenchmark for (2994ds/45Mi)
% 5.70/1.21 % (1190088)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2631495411:i=480:rtra=on_2994 on theBenchmark for (2994ds/480Mi)
% 5.70/1.21 % (1190089)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1698896289:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 5.70/1.21 % (1190074)Instruction limit reached!
% 5.70/1.21 % (1190074)------------------------------
% 5.70/1.21 % (1190074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.21 % (1190074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.21 % (1190074)CaDiCaL version: 2.1.3
% 5.70/1.21 % (1190074)Termination reason: Instruction limit
% 5.70/1.21 % (1190074)Termination phase: Saturation
% 5.70/1.21 % (1190074)Time elapsed: 0.158 s
% 5.70/1.21 % (1190074)Peak memory usage: 13 MB
% 5.70/1.21 % (1190074)Instructions burned: 181 (million)
% 5.70/1.21 % (1190088)Refutation not found, incomplete strategy
% 5.70/1.21 % (1190088)------------------------------
% 5.70/1.21 % (1190088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.21 % (1190088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.21 % (1190088)CaDiCaL version: 2.1.3
% 5.70/1.21 % (1190088)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.21 % (1190088)Time elapsed: 0.006 s
% 5.70/1.21 % (1190088)Peak memory usage: 12 MB
% 5.70/1.21 % (1190088)Instructions burned: 5 (million)
% 5.70/1.21 % (1190088)------------------------------
% 5.70/1.21 % (1190088)------------------------------
% 5.70/1.21 % (1190089)Instruction limit reached!
% 5.70/1.21 % (1190089)------------------------------
% 5.70/1.21 % (1190089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.70/1.21 % (1190089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.21 % (1190089)CaDiCaL version: 2.1.3
% 5.70/1.21 % (1190089)Termination reason: Instruction limit
% 5.70/1.21 % (1190089)Termination phase: Saturation
% 5.70/1.21 % (1190089)Time elapsed: 0.019 s
% 5.70/1.21 % (1190089)Peak memory usage: 12 MB
% 5.70/1.21 % (1190089)Instructions burned: 21 (million)
% 5.70/1.21 % (1190095)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 6.94/1.59 % (1190095)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2780547945:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 6.94/1.59 % (1190096)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3708948645:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 6.94/1.59 % (1190087)Instruction limit reached!
% 6.94/1.59 % (1190087)------------------------------
% 6.94/1.59 % (1190087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.59 % (1190087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.59 % (1190087)CaDiCaL version: 2.1.3
% 6.94/1.59 % (1190087)Termination reason: Instruction limit
% 6.94/1.59 % (1190087)Termination phase: Saturation
% 6.94/1.59 % (1190087)Time elapsed: 0.046 s
% 6.94/1.59 % (1190087)Peak memory usage: 12 MB
% 6.94/1.59 % (1190087)Instructions burned: 45 (million)
% 6.94/1.59 % (1190096)Instruction limit reached!
% 6.94/1.59 % (1190096)------------------------------
% 6.94/1.59 % (1190096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.59 % (1190096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.59 % (1190096)CaDiCaL version: 2.1.3
% 6.94/1.59 % (1190096)Termination reason: Instruction limit
% 6.94/1.59 % (1190096)Termination phase: Saturation
% 6.94/1.59 % (1190096)Time elapsed: 0.013 s
% 6.94/1.59 % (1190096)Peak memory usage: 12 MB
% 6.94/1.59 % (1190096)Instructions burned: 13 (million)
% 6.94/1.59 % (1190097)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=3730464008:i=66:s2at=3:nm=2:rtra=on:rawr=on_2993 on theBenchmark for (2993ds/66Mi)
% 6.94/1.59 % (1190100)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2181096829:i=51:fsr=off:rtra=on_2993 on theBenchmark for (2993ds/51Mi)
% 6.94/1.59 % (1190102)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3394234905:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 6.94/1.59 % (1190102)Refutation not found, incomplete strategy
% 6.94/1.59 % (1190102)------------------------------
% 6.94/1.59 % (1190102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.59 % (1190102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.59 % (1190102)CaDiCaL version: 2.1.3
% 6.94/1.59 % (1190102)Termination reason: Refutation not found, incomplete strategy
% 6.94/1.59 % (1190102)Time elapsed: 0.029 s
% 6.94/1.59 % (1190102)Peak memory usage: 12 MB
% 6.94/1.59 % (1190102)Instructions burned: 30 (million)
% 6.94/1.59 % (1190097)Instruction limit reached!
% 6.94/1.59 % (1190097)------------------------------
% 6.94/1.59 % (1190097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.59 % (1190097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.59 % (1190097)CaDiCaL version: 2.1.3
% 6.94/1.59 % (1190097)Termination reason: Instruction limit
% 6.94/1.59 % (1190097)Termination phase: Saturation
% 6.94/1.59 % (1190097)Time elapsed: 0.062 s
% 6.94/1.59 % (1190097)Peak memory usage: 13 MB
% 6.94/1.59 % (1190097)Instructions burned: 66 (million)
% 6.94/1.59 % (1190102)------------------------------
% 6.94/1.59 % (1190102)------------------------------
% 6.94/1.59 % (1190100)Instruction limit reached!
% 6.94/1.59 % (1190100)------------------------------
% 6.94/1.59 % (1190100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.94/1.59 % (1190100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/1.59 % (1190100)CaDiCaL version: 2.1.3
% 6.94/1.59 % (1190100)Termination reason: Instruction limit
% 6.94/1.59 % (1190100)Termination phase: Saturation
% 6.94/1.59 % (1190100)Time elapsed: 0.051 s
% 6.94/1.59 % (1190100)Peak memory usage: 12 MB
% 6.94/1.59 % (1190100)Instructions burned: 51 (million)
% 6.94/1.59 % (1190105)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=636060356:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 6.94/1.59 % (1190106)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=3022731046:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.94/1.59 % (1190085)Instruction limit reached!
% 7.95/1.69 % (1190085)------------------------------
% 7.95/1.69 % (1190085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190085)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190085)Termination reason: Instruction limit
% 7.95/1.69 % (1190085)Termination phase: Saturation
% 7.95/1.69 % (1190085)Time elapsed: 0.164 s
% 7.95/1.69 % (1190085)Peak memory usage: 16 MB
% 7.95/1.69 % (1190085)Instructions burned: 318 (million)
% 7.95/1.69 % (1190107)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4294560574:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2992 on theBenchmark for (2992ds/67Mi)
% 7.95/1.69 % (1190110)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 7.95/1.69 % (1190110)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1393651643:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2992 on theBenchmark for (2992ds/180Mi)
% 7.95/1.69 % (1190106)Instruction limit reached!
% 7.95/1.69 % (1190106)------------------------------
% 7.95/1.69 % (1190106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190106)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190106)Termination reason: Instruction limit
% 7.95/1.69 % (1190106)Termination phase: Saturation
% 7.95/1.69 % (1190106)Time elapsed: 0.032 s
% 7.95/1.69 % (1190106)Peak memory usage: 13 MB
% 7.95/1.69 % (1190106)Instructions burned: 35 (million)
% 7.95/1.69 % (1190095)Instruction limit reached!
% 7.95/1.69 % (1190095)------------------------------
% 7.95/1.69 % (1190095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190095)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190095)Termination reason: Instruction limit
% 7.95/1.69 % (1190095)Termination phase: Saturation
% 7.95/1.69 % (1190095)Time elapsed: 0.167 s
% 7.95/1.69 % (1190095)Peak memory usage: 12 MB
% 7.95/1.69 % (1190095)Instructions burned: 200 (million)
% 7.95/1.69 % (1190113)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1433659981:st=2:i=246:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/246Mi)
% 7.95/1.69 % (1190107)Instruction limit reached!
% 7.95/1.69 % (1190107)------------------------------
% 7.95/1.69 % (1190107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190107)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190107)Termination reason: Instruction limit
% 7.95/1.69 % (1190107)Termination phase: Saturation
% 7.95/1.69 % (1190107)Time elapsed: 0.060 s
% 7.95/1.69 % (1190107)Peak memory usage: 12 MB
% 7.95/1.69 % (1190107)Instructions burned: 67 (million)
% 7.95/1.69 % (1190114)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1822749854:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 7.95/1.69 % (1190110)Instruction limit reached!
% 7.95/1.69 % (1190110)------------------------------
% 7.95/1.69 % (1190110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190110)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190110)Termination reason: Instruction limit
% 7.95/1.69 % (1190110)Termination phase: Saturation
% 7.95/1.69 % (1190110)Time elapsed: 0.078 s
% 7.95/1.69 % (1190110)Peak memory usage: 14 MB
% 7.95/1.69 % (1190110)Instructions burned: 182 (million)
% 7.95/1.69 % (1190116)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3584734482:i=427:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/427Mi)
% 7.95/1.69 % (1190118)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1141155358:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/874Mi)
% 7.95/1.69 % (1190105)Instruction limit reached!
% 7.95/1.69 % (1190105)------------------------------
% 7.95/1.69 % (1190105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190105)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190105)Termination reason: Instruction limit
% 7.95/1.69 % (1190105)Termination phase: Saturation
% 7.95/1.69 % (1190105)Time elapsed: 0.120 s
% 7.95/1.69 % (1190105)Peak memory usage: 12 MB
% 7.95/1.69 % (1190105)Instructions burned: 137 (million)
% 7.95/1.69 % (1190121)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=797756543:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/515Mi)
% 7.95/1.69 % (1190113)Refutation not found, incomplete strategy
% 7.95/1.69 % (1190113)------------------------------
% 7.95/1.69 % (1190113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190113)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190113)Termination reason: Refutation not found, incomplete strategy
% 7.95/1.69 % (1190113)Time elapsed: 0.085 s
% 7.95/1.69 % (1190113)Peak memory usage: 12 MB
% 7.95/1.69 % (1190113)Instructions burned: 86 (million)
% 7.95/1.69 % (1190113)------------------------------
% 7.95/1.69 % (1190113)------------------------------
% 7.95/1.69 % (1190114)Instruction limit reached!
% 7.95/1.69 % (1190114)------------------------------
% 7.95/1.69 % (1190114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190114)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190114)Termination reason: Instruction limit
% 7.95/1.69 % (1190114)Termination phase: Saturation
% 7.95/1.69 % (1190114)Time elapsed: 0.084 s
% 7.95/1.69 % (1190114)Peak memory usage: 12 MB
% 7.95/1.69 % (1190114)Instructions burned: 96 (million)
% 7.95/1.69 % (1190123)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3679842691:st=1.5:i=130:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 7.95/1.69 % (1190124)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3786413888:i=44:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/44Mi)
% 7.95/1.69 % (1190124)Instruction limit reached!
% 7.95/1.69 % (1190124)------------------------------
% 7.95/1.69 % (1190124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190124)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190124)Termination reason: Instruction limit
% 7.95/1.69 % (1190124)Termination phase: Saturation
% 7.95/1.69 % (1190124)Time elapsed: 0.039 s
% 7.95/1.69 % (1190124)Peak memory usage: 12 MB
% 7.95/1.69 % (1190124)Instructions burned: 44 (million)
% 7.95/1.69 % (1190127)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4201503086:s2a=on:i=571:nm=16:rtra=on_2990 on theBenchmark for (2990ds/571Mi)
% 7.95/1.69 % (1190123)Instruction limit reached!
% 7.95/1.69 % (1190123)------------------------------
% 7.95/1.69 % (1190123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190123)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190123)Termination reason: Instruction limit
% 7.95/1.69 % (1190123)Termination phase: Saturation
% 7.95/1.69 % (1190123)Time elapsed: 0.121 s
% 7.95/1.69 % (1190123)Peak memory usage: 12 MB
% 7.95/1.69 % (1190123)Instructions burned: 130 (million)
% 7.95/1.69 % (1190129)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1499066001:i=450:rtra=on:ixr=off:ntd=on_2989 on theBenchmark for (2989ds/450Mi)
% 7.95/1.69 % (1190116)Instruction limit reached!
% 7.95/1.69 % (1190116)------------------------------
% 7.95/1.69 % (1190116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190116)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190116)Termination reason: Instruction limit
% 7.95/1.69 % (1190116)Termination phase: Saturation
% 7.95/1.69 % (1190116)Time elapsed: 0.359 s
% 7.95/1.69 % (1190116)Peak memory usage: 14 MB
% 7.95/1.69 % (1190116)Instructions burned: 427 (million)
% 7.95/1.69 % (1190118)Instruction limit reached!
% 7.95/1.69 % (1190118)------------------------------
% 7.95/1.69 % (1190118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190118)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190118)Termination reason: Instruction limit
% 7.95/1.69 % (1190118)Termination phase: Saturation
% 7.95/1.69 % (1190118)Time elapsed: 0.381 s
% 7.95/1.69 % (1190118)Peak memory usage: 16 MB
% 7.95/1.69 % (1190118)Instructions burned: 874 (million)
% 7.95/1.69 % (1190131)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1242373737:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/95Mi)
% 7.95/1.69 % (1190086)Instruction limit reached!
% 7.95/1.69 % (1190086)------------------------------
% 7.95/1.69 % (1190086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190086)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190086)Termination reason: Instruction limit
% 7.95/1.69 % (1190086)Termination phase: Saturation
% 7.95/1.69 % (1190086)Time elapsed: 0.658 s
% 7.95/1.69 % (1190086)Peak memory usage: 15 MB
% 7.95/1.69 % (1190086)Instructions burned: 853 (million)
% 7.95/1.69 % (1190133)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=3713672730:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2987 on theBenchmark for (2987ds/65Mi)
% 7.95/1.69 % (1190134)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=2907865303: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_2987 on theBenchmark for (2987ds/105Mi)
% 7.95/1.69 % (1190133)Instruction limit reached!
% 7.95/1.69 % (1190133)------------------------------
% 7.95/1.69 % (1190133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190133)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190133)Termination reason: Instruction limit
% 7.95/1.69 % (1190133)Termination phase: Saturation
% 7.95/1.69 % (1190133)Time elapsed: 0.033 s
% 7.95/1.69 % (1190133)Peak memory usage: 12 MB
% 7.95/1.69 % (1190133)Instructions burned: 66 (million)
% 7.95/1.69 % (1190121)Instruction limit reached!
% 7.95/1.69 % (1190121)------------------------------
% 7.95/1.69 % (1190121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190121)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190121)Termination reason: Instruction limit
% 7.95/1.69 % (1190121)Termination phase: Saturation
% 7.95/1.69 % (1190121)Time elapsed: 0.419 s
% 7.95/1.69 % (1190121)Peak memory usage: 14 MB
% 7.95/1.69 % (1190121)Instructions burned: 516 (million)
% 7.95/1.69 % (1190137)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=423833404:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2987 on theBenchmark for (2987ds/5755Mi)
% 7.95/1.69 % (1190131) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1189998-1190131"...
% 7.95/1.69 % (1190131)...printing done.
% 7.95/1.69 % (1190131)Refutation found. Thanks to Tanya!
% 7.95/1.69 % SZS status Theorem for theBenchmark
% 7.95/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 7.95/1.69 % (1190131)------------------------------
% 7.95/1.69 % (1190131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.69 % (1190131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.69 % (1190131)CaDiCaL version: 2.1.3
% 7.95/1.69 % (1190131)Termination reason: Refutation
% 7.95/1.69 % (1190131)Time elapsed: 0.089 s
% 7.95/1.69 % (1190131)Peak memory usage: 13 MB
% 7.95/1.69 % (1190131)Instructions burned: 89 (million)
% 7.95/1.69 % (1189998)Success in time 1.33 s
% 7.95/1.69 % Vampire exiting
%------------------------------------------------------------------------------