%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV170^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 08:37:57 AM UTC 2026
% Result : Theorem 1.99s 0.50s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 128 ( 10 unt; 0 typ; 6 def)
% Number of atoms : 757 ( 316 equ; 0 cnn)
% Maximal formula atoms : 7 ( 5 avg)
% Number of connectives : 1741 ( 161 ~; 195 |; 89 &;1116 @)
% ( 9 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 601 ( 601 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 30 usr; 13 con; 0-4 aty)
% ( 113 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 958 ( 330 sgn 95 !; 0 ?; 958 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
vNOT: $o > $o ).
thf(func_def_2,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_3,type,
vIFF: $o > $o > $o ).
thf(func_def_4,type,
vIMP: $o > $o > $o ).
thf(func_def_5,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vAND: $o > $o > $o ).
thf(func_def_11,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_12,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_15,type,
sK0: a > a > a > a > $o ).
thf(func_def_17,type,
sK2: a ).
thf(func_def_18,type,
sK3: a ).
thf(func_def_19,type,
sK4: a ).
thf(func_def_20,type,
sK5: a ).
thf(func_def_21,type,
sK6: ( ( a > a > a ) > a ) > a > a > a ).
thf(func_def_22,type,
sK7: ( ( a > a > a ) > a ) > ( ( a > a > a ) > a ) > a > a > a ).
thf(func_def_23,type,
sK8: ( ( a > a > a ) > a ) > a > a > a ).
thf(func_def_24,type,
sK9: ( a > a > a ) > a ).
thf(func_def_25,type,
sK10: ( a > a > a ) > a ).
thf(func_def_26,type,
sK11: a > a > a ).
thf(f1,conjecture,
! [X0: a > a > a > a > $o] :
( ! [X9: a,X6: a,X8: a,X7: a] :
( ( X0 @ X6 @ X7 @ X8 @ X9 )
=> ( ( X7 = X9 )
& ( X6 = X8 ) ) )
<=> ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( ( X1
= ( ^ [X3: a > a > a] :
( X3
@ ( X1
@ ^ [X4: a,X5: a] : X4 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 ) ) ) )
& ( X0
@ ( X1
@ ^ [X4: a,X5: a] : X4 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 )
@ ( X2
@ ^ [X4: a,X5: a] : X4 )
@ ( X2
@ ^ [X4: a,X5: a] : X5 ) )
& ( X2
= ( ^ [X3: a > a > a] :
( X3
@ ( X2
@ ^ [X4: a,X5: a] : X4 )
@ ( X2
@ ^ [X4: a,X5: a] : X5 ) ) ) ) )
=> ( X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM190_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > a > a > $o] :
( ! [X9: a,X6: a,X8: a,X7: a] :
( ( X0 @ X6 @ X7 @ X8 @ X9 )
=> ( ( X7 = X9 )
& ( X6 = X8 ) ) )
<=> ! [X1: ( a > a > a ) > a,X2: ( a > a > a ) > a] :
( ( ( X1
= ( ^ [X3: a > a > a] :
( X3
@ ( X1
@ ^ [X4: a,X5: a] : X4 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 ) ) ) )
& ( X0
@ ( X1
@ ^ [X4: a,X5: a] : X4 )
@ ( X1
@ ^ [X4: a,X5: a] : X5 )
@ ( X2
@ ^ [X4: a,X5: a] : X4 )
@ ( X2
@ ^ [X4: a,X5: a] : X5 ) )
& ( X2
= ( ^ [X3: a > a > a] :
( X3
@ ( X2
@ ^ [X4: a,X5: a] : X4 )
@ ( X2
@ ^ [X4: a,X5: a] : X5 ) ) ) ) )
=> ( X1 = X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > a > a > $o] :
( ! [X1: a,X2: a,X3: a,X4: a] :
( ( X0 @ X2 @ X4 @ X3 @ X1 )
=> ( ( X1 = X4 )
& ( X2 = X3 ) ) )
<=> ! [X5: ( a > a > a ) > a,X6: ( a > a > a ) > a] :
( ( ( X5
= ( ^ [X7: a > a > a] :
( X7
@ ( X5
@ ^ [X8: a,X9: a] : X8 )
@ ( X5
@ ^ [X10: a,X11: a] : X11 ) ) ) )
& ( X0
@ ( X5
@ ^ [X12: a,X13: a] : X12 )
@ ( X5
@ ^ [X14: a,X15: a] : X15 )
@ ( X6
@ ^ [X16: a,X17: a] : X16 )
@ ( X6
@ ^ [X18: a,X19: a] : X19 ) )
& ( X6
= ( ^ [X20: a > a > a] :
( X20
@ ( X6
@ ^ [X21: a,X22: a] : X21 )
@ ( X6
@ ^ [X23: a,X24: a] : X24 ) ) ) ) )
=> ( X5 = X6 ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( ~ ( !! @ ( a > a > a > a > $o )
@ ^ [Y0: a > a > a > a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y1 @ Y2 @ Y4 )
=> ( ( Y3 = Y2 )
& ( Y4 = Y1 ) ) ) ) ) ) )
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y2: ( a > a > a ) > a] :
( ( ( Y1
= ( ^ [Y3: a > a > a] :
( Y3
@ ( Y1
@ ^ [Y4: a,Y5: a] : Y4 )
@ ( Y1
@ ^ [Y4: a,Y5: a] : Y5 ) ) ) )
& ( Y0
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) )
& ( Y2
= ( ^ [Y3: a > a > a] :
( Y3
@ ( Y2
@ ^ [Y4: a,Y5: a] : Y4 )
@ ( Y2
@ ^ [Y4: a,Y5: a] : Y5 ) ) ) ) )
=> ( Y2 = Y1 ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ~ ( !! @ ( a > a > a > a > $o )
@ ^ [Y0: a > a > a > a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y1 @ Y2 @ Y4 )
=> ( ( Y3 = Y2 )
& ( Y4 = Y1 ) ) ) ) ) ) )
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y2: ( a > a > a ) > a] :
( ( ( Y1
= ( ^ [Y3: a > a > a] :
( Y3
@ ( Y1
@ ^ [Y4: a,Y5: a] : Y4 )
@ ( Y1
@ ^ [Y4: a,Y5: a] : Y5 ) ) ) )
& ( Y0
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) )
& ( Y2
= ( ^ [Y3: a > a > a] :
( Y3
@ ( Y2
@ ^ [Y4: a,Y5: a] : Y4 )
@ ( Y2
@ ^ [Y4: a,Y5: a] : Y5 ) ) ) ) )
=> ( Y2 = Y1 ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( ( !! @ ( a > a > a > a > $o )
@ ^ [Y0: a > a > a > a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y1 @ Y2 @ Y4 )
=> ( ( Y3 = Y2 )
& ( Y4 = Y1 ) ) ) ) ) ) )
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y2: ( a > a > a ) > a] :
( ( ( Y1
= ( ^ [Y3: a > a > a] :
( Y3
@ ( Y1
@ ^ [Y4: a,Y5: a] : Y4 )
@ ( Y1
@ ^ [Y4: a,Y5: a] : Y5 ) ) ) )
& ( Y0
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) )
& ( Y2
= ( ^ [Y3: a > a > a] :
( Y3
@ ( Y2
@ ^ [Y4: a,Y5: a] : Y4 )
@ ( Y2
@ ^ [Y4: a,Y5: a] : Y5 ) ) ) ) )
=> ( Y2 = Y1 ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f16,plain,
( ( ^ [Y0: a > a > a > a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y0 @ Y3 @ Y1 @ Y2 @ Y4 )
=> ( ( Y3 = Y2 )
& ( Y4 = Y1 ) ) ) ) ) ) )
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y2: ( a > a > a ) > a] :
( ( ( Y1
= ( ^ [Y3: a > a > a] :
( Y3
@ ( Y1
@ ^ [Y4: a,Y5: a] : Y4 )
@ ( Y1
@ ^ [Y4: a,Y5: a] : Y5 ) ) ) )
& ( Y0
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y2
@ ^ [Y3: a,Y4: a] : Y4 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) )
& ( Y2
= ( ^ [Y3: a > a > a] :
( Y3
@ ( Y2
@ ^ [Y4: a,Y5: a] : Y4 )
@ ( Y2
@ ^ [Y4: a,Y5: a] : Y5 ) ) ) ) )
=> ( Y2 = Y1 ) ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f8]) ).
thf(f18,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) ) ) )
= $false ),
inference(beta-eta_normalization,[],[f16]) ).
thf(f19,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
!= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(iff_proxy_clausification,[],[f18]) ).
thf(f21,plain,
( ( $true
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) ) ) )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
= $true ) ),
inference(xor_proxy_clausification,[],[f19]) ).
thf(f22,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
= $false )
| ( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) ) )
= $false ) ),
inference(xor_proxy_clausification,[],[f19]) ).
thf(f24,definition,
( spl1_1
<=> ( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f26,plain,
( ( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) ) )
= $false )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f24]) ).
thf(f28,definition,
( spl1_2
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f29,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
!= $false )
| spl1_2 ),
inference(avatar_component_clause,[],[f28]) ).
thf(f30,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
= $false )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f28]) ).
thf(f31,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f22,f28,f24]) ).
thf(f33,definition,
( spl1_3
<=> ( $true
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
thf(f35,plain,
( ( $true
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) ) ) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f33]) ).
thf(f37,definition,
( spl1_4
<=> ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
thf(f39,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) ) )
= $true )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f37]) ).
thf(f40,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f21,f37,f33]) ).
thf(f41,plain,
( ( $false
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) )
@ sK2 ) )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f30]) ).
thf(f43,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ sK2 @ Y0 @ Y2 )
=> ( ( Y1 = Y0 )
& ( Y2 = sK2 ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f45,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ sK2 @ Y0 @ Y2 )
=> ( ( Y1 = Y0 )
& ( Y2 = sK2 ) ) ) ) )
@ sK3 )
= $false )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f43]) ).
thf(f48,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ sK2 @ sK3 @ Y1 )
=> ( ( Y0 = sK3 )
& ( Y1 = sK2 ) ) ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f49,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ sK2 @ sK3 @ Y1 )
=> ( ( Y0 = sK3 )
& ( Y1 = sK2 ) ) ) )
@ sK4 )
= $false )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f48]) ).
thf(f51,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK4 @ sK2 @ sK3 @ Y0 )
=> ( ( sK4 = sK3 )
& ( Y0 = sK2 ) ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f49]) ).
thf(f53,plain,
( ( ( ^ [Y0: a] :
( ( sK0 @ sK4 @ sK2 @ sK3 @ Y0 )
=> ( ( sK4 = sK3 )
& ( Y0 = sK2 ) ) )
@ sK5 )
= $false )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f51]) ).
thf(f55,plain,
( ( ( ( sK0 @ sK4 @ sK2 @ sK3 @ sK5 )
=> ( ( sK4 = sK3 )
& ( sK5 = sK2 ) ) )
= $false )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f58,plain,
( ( ( sK0 @ sK4 @ sK2 @ sK3 @ sK5 )
= $true )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f55]) ).
thf(f63,definition,
( spl1_5
<=> ( sK2 = sK5 ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
thf(f64,plain,
( ( sK2 = sK5 )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f65,plain,
( ( sK2 != sK5 )
| spl1_5 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f67,definition,
( spl1_6
<=> ( sK4 = sK3 ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
thf(f69,plain,
( ( sK4 != sK3 )
| spl1_6 ),
inference(avatar_component_clause,[],[f67]) ).
thf(f71,plain,
( ! [X1: ( a > a > a ) > a] :
( $true
= ( ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) )
| ~ spl1_3 ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f72,plain,
( ! [X1: ( a > a > a ) > a] :
( $true
= ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( ( ( X1
= ( ^ [Y1: a > a > a] :
( Y1
@ ( X1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( X1
@ ^ [Y2: a,Y3: a] : Y3 ) ) ) )
& ( sK0
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y2 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) )
& ( Y0
= ( ^ [Y1: a > a > a] :
( Y1
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) ) ) ) )
=> ( Y0 = X1 ) ) ) )
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f71]) ).
thf(f73,plain,
( ! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ^ [Y0: ( a > a > a ) > a] :
( ( ( X1
= ( ^ [Y1: a > a > a] :
( Y1
@ ( X1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( X1
@ ^ [Y2: a,Y3: a] : Y3 ) ) ) )
& ( sK0
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y2 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) )
& ( Y0
= ( ^ [Y1: a > a > a] :
( Y1
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) ) ) ) )
=> ( Y0 = X1 ) )
@ X2 )
= $true )
| ~ spl1_3 ),
inference(pi_proxy_clausification,[],[f72]) ).
thf(f74,plain,
( ! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( $true
= ( ( ( X1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( X2
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X2
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X2
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
=> ( X2 = X1 ) ) )
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f73]) ).
thf(f75,plain,
( ! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( X1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( X2
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X2
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X2
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ) ) )
| ~ spl1_3 ),
inference(imp_proxy_clausification,[],[f74]) ).
thf(f76,plain,
( ! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( X1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) ) ) )
| ( $false
= ( X2
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X2
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X2
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ) )
| ~ spl1_3 ),
inference(and_proxy_clausification,[],[f75]) ).
thf(f77,plain,
( ! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( $false
= ( X2
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X2
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X2
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
| ( $true
= ( X2 = X1 ) )
| ( ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $false )
| ( ( X1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
= $false ) )
| ~ spl1_3 ),
inference(and_proxy_clausification,[],[f76]) ).
thf(f78,plain,
( ! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $false )
| ( ( X1
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
= $false )
| ( X1 = X2 )
| ( $false
= ( X2
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X2
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X2
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) ) )
| ~ spl1_3 ),
inference(equality_proxy_clausification,[],[f77]) ).
thf(f79,plain,
( ! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $false )
| ( $false
= ( X2
= ( ^ [Y0: a > a > a] :
( Y0
@ ( X2
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X2
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X1 )
| ( X1 = X2 ) )
| ~ spl1_3 ),
inference(equality_proxy_clausification,[],[f78]) ).
thf(f80,plain,
( ! [X2: ( a > a > a ) > a,X1: ( a > a > a ) > a] :
( ( ( sK0
@ ( X2
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X2
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( X1
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $false )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X1
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X1
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X1 )
| ( X1 = X2 )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( X2
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( X2
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
!= X2 ) )
| ~ spl1_3 ),
inference(equality_proxy_clausification,[],[f79]) ).
thf(f90,plain,
( ! [X5: ( a > a > a ) > a] :
( ( $true = $false )
| ( sK2
!= ( X5
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK5
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK5
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK5
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 )
@ ( X5 @ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 )
@ ( X5 @ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 )
@ ( X5 @ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 )
@ ( X5 @ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK5
@ Y0 ) ) ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(constrained_superposition,[],[f80,f58]) ).
thf(f120,plain,
( ! [X5: ( a > a > a ) > a] :
( ( sK2
!= ( X5
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK5
@ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK5
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK3
@ Y1 )
@ ( ^ [Y2: a > a > a] : sK5
@ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 )
@ ( X5 @ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 )
@ ( X5 @ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( ^ [Y1: a > a > a] :
( Y1
@ ( ^ [Y2: a > a > a] : sK4
@ Y1 )
@ ( X5 @ Y1 ) )
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK4
@ Y0 )
@ ( X5 @ Y0 ) ) )
= ( ^ [Y0: a > a > a] :
( Y0
@ ( ^ [Y1: a > a > a] : sK3
@ Y0 )
@ ( ^ [Y1: a > a > a] : sK5
@ Y0 ) ) ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f121,plain,
( ! [X5: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 ) )
!= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 ) ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK4 @ ( X5 @ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK4 @ ( X5 @ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0 @ sK4
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( sK2
!= ( X5
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f120]) ).
thf(f122,plain,
( ! [X5: ( a > a > a ) > a] :
( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK4 @ ( X5 @ Y0 ) ) )
!= ( ^ [Y0: a > a > a] :
( Y0 @ sK4
@ ( X5
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK4 @ ( X5 @ Y0 ) ) ) )
| ( sK2
!= ( X5
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f121]) ).
thf(f140,plain,
( ! [X0: ( a > a > a ) > a] :
( ( sK2
!= ( X0
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK4 @ ( X0 @ Y0 ) ) ) )
| ( ( ^ [Y0: a > a > a] :
( X0
@ ^ [Y1: a,Y2: a] : Y2 ) )
!= X0 ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(equality_resolution,[],[f122]) ).
thf(f147,plain,
( ( ( ^ [Y0: a > a > a] : sK2 )
!= ( ^ [Y0: a > a > a] :
( ^ [Y1: a > a > a] : sK2
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
| ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 ) )
= ( ^ [Y0: a > a > a] :
( Y0 @ sK4
@ ( ^ [Y1: a > a > a] : sK2
@ Y0 ) ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(equality_resolution,[],[f140]) ).
thf(f148,plain,
( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK4 @ sK2 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 ) ) )
| ( ( ^ [Y0: a > a > a] : sK2 )
!= ( ^ [Y0: a > a > a] : sK2 ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f147]) ).
thf(f149,plain,
( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK4 @ sK2 ) )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f148]) ).
thf(f161,plain,
( ! [X1: a > a > a] :
( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK5 )
@ X1 )
= ( ^ [Y0: a > a > a] : ( Y0 @ sK4 @ sK2 )
@ X1 ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(argument_congruence,[],[f149]) ).
thf(f179,plain,
( ! [X1: a > a > a] :
( ( X1 @ sK4 @ sK2 )
= ( X1 @ sK3 @ sK5 ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f161]) ).
thf(f197,plain,
( ( sK2
!= ( ^ [Y0: a,Y1: a] : Y1
@ sK4
@ sK2 ) )
| ~ spl1_2
| ~ spl1_3
| spl1_5 ),
inference(constrained_superposition,[],[f65,f179]) ).
thf(f200,plain,
( ( sK2 != sK2 )
| ~ spl1_2
| ~ spl1_3
| spl1_5 ),
inference(beta-eta_normalization,[],[f197]) ).
thf(f201,plain,
( $false
| ~ spl1_2
| ~ spl1_3
| spl1_5 ),
inference(trivial_inequality_removal,[],[f200]) ).
thf(f202,plain,
( ~ spl1_2
| ~ spl1_3
| spl1_5 ),
inference(avatar_contradiction_clause,[],[f201]) ).
thf(f203,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) )
@ X1 ) )
| spl1_2 ),
inference(pi_proxy_clausification,[],[f29]) ).
thf(f205,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ X1 @ Y0 @ Y2 )
=> ( ( Y1 = Y0 )
& ( Y2 = X1 ) ) ) ) ) ) )
| spl1_2 ),
inference(beta-eta_normalization,[],[f203]) ).
thf(f206,plain,
( ! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ X1 @ Y0 @ Y2 )
=> ( ( Y1 = Y0 )
& ( Y2 = X1 ) ) ) ) )
@ X2 ) )
| spl1_2 ),
inference(pi_proxy_clausification,[],[f205]) ).
thf(f207,plain,
( ! [X2: a,X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ X1 @ X2 @ Y1 )
=> ( ( Y0 = X2 )
& ( Y1 = X1 ) ) ) ) )
= $true )
| spl1_2 ),
inference(beta-eta_normalization,[],[f206]) ).
thf(f208,plain,
( ! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ X1 @ X2 @ Y1 )
=> ( ( Y0 = X2 )
& ( Y1 = X1 ) ) ) )
@ X3 ) )
| spl1_2 ),
inference(pi_proxy_clausification,[],[f207]) ).
thf(f209,plain,
( ! [X2: a,X3: a,X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ X3 @ X1 @ X2 @ Y0 )
=> ( ( X3 = X2 )
& ( Y0 = X1 ) ) ) ) )
| spl1_2 ),
inference(beta-eta_normalization,[],[f208]) ).
thf(f210,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( $true
= ( ^ [Y0: a] :
( ( sK0 @ X3 @ X1 @ X2 @ Y0 )
=> ( ( X3 = X2 )
& ( Y0 = X1 ) ) )
@ X4 ) )
| spl1_2 ),
inference(pi_proxy_clausification,[],[f209]) ).
thf(f211,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( $true
= ( ( sK0 @ X3 @ X1 @ X2 @ X4 )
=> ( ( X3 = X2 )
& ( X4 = X1 ) ) ) )
| spl1_2 ),
inference(beta-eta_normalization,[],[f210]) ).
thf(f212,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( ( ( X3 = X2 )
& ( X4 = X1 ) )
= $true )
| ( $false
= ( sK0 @ X3 @ X1 @ X2 @ X4 ) ) )
| spl1_2 ),
inference(imp_proxy_clausification,[],[f211]) ).
thf(f213,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( $false
= ( sK0 @ X3 @ X1 @ X2 @ X4 ) )
| ( $true
= ( X4 = X1 ) ) )
| spl1_2 ),
inference(and_proxy_clausification,[],[f212]) ).
thf(f214,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( $false
= ( sK0 @ X3 @ X1 @ X2 @ X4 ) )
| ( $true
= ( X3 = X2 ) ) )
| spl1_2 ),
inference(and_proxy_clausification,[],[f212]) ).
thf(f215,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( $false
= ( sK0 @ X3 @ X1 @ X2 @ X4 ) )
| ( X1 = X4 ) )
| spl1_2 ),
inference(equality_proxy_clausification,[],[f213]) ).
thf(f216,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( $false
= ( sK0 @ X3 @ X1 @ X2 @ X4 ) )
| ( X2 = X3 ) )
| spl1_2 ),
inference(equality_proxy_clausification,[],[f214]) ).
thf(f218,plain,
( ( ( ^ [Y0: ( a > a > a ) > a] :
( !! @ ( ( a > a > a ) > a )
@ ^ [Y1: ( a > a > a ) > a] :
( ( ( Y0
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y0
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) )
& ( sK0
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y1
@ ^ [Y2: a,Y3: a] : Y3 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) )
& ( Y1
= ( ^ [Y2: a > a > a] :
( Y2
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y3 )
@ ( Y1
@ ^ [Y3: a,Y4: a] : Y4 ) ) ) ) )
=> ( Y1 = Y0 ) ) )
@ sK9 )
= $false )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f26]) ).
thf(f223,plain,
( ( ( !! @ ( ( a > a > a ) > a )
@ ^ [Y0: ( a > a > a ) > a] :
( ( ( sK9
= ( ^ [Y1: a > a > a] :
( Y1
@ ( sK9
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( sK9
@ ^ [Y2: a,Y3: a] : Y3 ) ) ) )
& ( sK0
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y2 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y2 ) )
& ( Y0
= ( ^ [Y1: a > a > a] :
( Y1
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) ) ) ) )
=> ( Y0 = sK9 ) ) )
= $false )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f218]) ).
thf(f231,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK0 @ Y2 @ Y0 @ Y1 @ Y3 )
=> ( ( Y2 = Y1 )
& ( Y3 = Y0 ) ) ) ) ) )
@ X1 ) )
| ~ spl1_4 ),
inference(pi_proxy_clausification,[],[f39]) ).
thf(f232,plain,
( ! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ X1 @ Y0 @ Y2 )
=> ( ( Y1 = Y0 )
& ( Y2 = X1 ) ) ) ) ) ) )
| ~ spl1_4 ),
inference(beta-eta_normalization,[],[f231]) ).
thf(f235,plain,
( ( $false
= ( ^ [Y0: ( a > a > a ) > a] :
( ( ( sK9
= ( ^ [Y1: a > a > a] :
( Y1
@ ( sK9
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( sK9
@ ^ [Y2: a,Y3: a] : Y3 ) ) ) )
& ( sK0
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( Y0
@ ^ [Y1: a,Y2: a] : Y2 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y2 ) )
& ( Y0
= ( ^ [Y1: a > a > a] :
( Y1
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y2 )
@ ( Y0
@ ^ [Y2: a,Y3: a] : Y3 ) ) ) ) )
=> ( Y0 = sK9 ) )
@ sK10 ) )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f223]) ).
thf(f238,plain,
( ( $false
= ( ( ( sK9
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( sK0
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( sK10
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
=> ( sK10 = sK9 ) ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f235]) ).
thf(f239,plain,
( ( ( sK10 = sK9 )
= $false )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f238]) ).
thf(f240,plain,
( ( ( ( sK9
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( sK0
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y1 ) )
& ( sK10
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
= $true )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f238]) ).
thf(f241,plain,
( ( sK9 != sK10 )
| ~ spl1_1 ),
inference(equality_proxy_clausification,[],[f239]) ).
thf(f242,plain,
( ( ( sK10
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
= $true )
| ~ spl1_1 ),
inference(and_proxy_clausification,[],[f240]) ).
thf(f243,plain,
( ( ( ( sK9
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) )
& ( sK0
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y1 ) ) )
= $true )
| ~ spl1_1 ),
inference(and_proxy_clausification,[],[f240]) ).
thf(f244,plain,
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= sK10 )
| ~ spl1_1 ),
inference(equality_proxy_clausification,[],[f242]) ).
thf(f245,plain,
( ( ( sK0
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y1 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y1 ) )
= $true )
| ~ spl1_1 ),
inference(and_proxy_clausification,[],[f243]) ).
thf(f246,plain,
( ( $true
= ( sK9
= ( ^ [Y0: a > a > a] :
( Y0
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y2 ) ) ) ) )
| ~ spl1_1 ),
inference(and_proxy_clausification,[],[f243]) ).
thf(f247,plain,
( ( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y2 ) ) )
= sK9 )
| ~ spl1_1 ),
inference(equality_proxy_clausification,[],[f246]) ).
thf(f248,plain,
( ( ( sK9 @ sK11 )
!= ( sK10 @ sK11 ) )
| ~ spl1_1 ),
inference(negative_extensionality,[],[f241]) ).
thf(f249,plain,
( ! [X1: a > a > a] :
( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK10
@ ^ [Y1: a,Y2: a] : Y2 ) )
@ X1 )
= ( sK10 @ X1 ) )
| ~ spl1_1 ),
inference(argument_congruence,[],[f244]) ).
thf(f250,plain,
( ! [X1: a > a > a] :
( ( X1
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y1 ) )
= ( sK10 @ X1 ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f249]) ).
thf(f257,plain,
( ! [X1: a > a > a] :
( ( ^ [Y0: a > a > a] :
( Y0
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y1 )
@ ( sK9
@ ^ [Y1: a,Y2: a] : Y2 ) )
@ X1 )
= ( sK9 @ X1 ) )
| ~ spl1_1 ),
inference(argument_congruence,[],[f247]) ).
thf(f258,plain,
( ! [X1: a > a > a] :
( ( X1
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y1 ) )
= ( sK9 @ X1 ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f257]) ).
thf(f275,plain,
( ( ( sK10
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK9
@ ^ [Y0: a,Y1: a] : Y0 ) )
| ( $true = $false )
| ~ spl1_1
| spl1_2 ),
inference(constrained_superposition,[],[f245,f216]) ).
thf(f278,plain,
( ( ( sK9
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK10
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ( $true = $false )
| ~ spl1_1
| spl1_2 ),
inference(constrained_superposition,[],[f215,f245]) ).
thf(f279,plain,
( ( ( sK9
@ ^ [Y0: a,Y1: a] : Y1 )
= ( sK10
@ ^ [Y0: a,Y1: a] : Y1 ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f278]) ).
thf(f281,plain,
( ( ( sK10
@ ^ [Y0: a,Y1: a] : Y0 )
= ( sK9
@ ^ [Y0: a,Y1: a] : Y0 ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f275]) ).
thf(f285,plain,
( ! [X1: a > a > a] :
( ( X1
@ ( sK10
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y1 ) )
= ( sK10 @ X1 ) )
| ~ spl1_1
| spl1_2 ),
inference(backward_demodulation,[],[f250,f279]) ).
thf(f313,plain,
( ! [X1: a > a > a] :
( ( X1
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y1 ) )
= ( sK10 @ X1 ) )
| ~ spl1_1
| spl1_2 ),
inference(backward_demodulation,[],[f285,f281]) ).
thf(f314,plain,
( ( ( sK11
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y0 )
@ ( sK9
@ ^ [Y0: a,Y1: a] : Y1 ) )
!= ( sK9 @ sK11 ) )
| ~ spl1_1
| spl1_2 ),
inference(backward_demodulation,[],[f248,f313]) ).
thf(f322,plain,
( $false
| ~ spl1_1
| spl1_2 ),
inference(forward_subsumption_resolution,[],[f314,f258]) ).
thf(f323,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_contradiction_clause,[],[f322]) ).
thf(f331,plain,
( ( ( ( sK0 @ sK4 @ sK2 @ sK3 @ sK5 )
=> ( ( sK4 = sK3 )
& ( sK5 = sK2 ) ) )
= $false )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f337,plain,
( ( ( ( sK4 = sK3 )
& ( sK5 = sK2 ) )
= $false )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f331]) ).
thf(f342,plain,
( ( ( sK5 = sK2 )
= $false )
| ( $false
= ( sK4 = sK3 ) )
| ~ spl1_2 ),
inference(and_proxy_clausification,[],[f337]) ).
thf(f345,plain,
( ( $false
= ( sK4 = sK3 ) )
| ( sK2 != sK5 )
| ~ spl1_2 ),
inference(equality_proxy_clausification,[],[f342]) ).
thf(f380,plain,
( ( $true = $false )
| ~ spl1_2
| ~ spl1_4 ),
inference(backward_demodulation,[],[f43,f232]) ).
thf(f382,plain,
( $false
| ~ spl1_2
| ~ spl1_4 ),
inference(trivial_inequality_removal,[],[f380]) ).
thf(f383,plain,
( ~ spl1_2
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f382]) ).
thf(f417,plain,
( ( sK2 != sK5 )
| ( sK4 != sK3 )
| ~ spl1_2 ),
inference(equality_proxy_clausification,[],[f345]) ).
thf(f427,plain,
( ~ spl1_5
| ~ spl1_6
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f417,f28,f67,f63]) ).
thf(f449,plain,
( ! [X1: a > a > a] :
( ( X1 @ sK3 @ sK2 )
= ( X1 @ sK4 @ sK2 ) )
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5 ),
inference(forward_demodulation,[],[f179,f64]) ).
thf(f459,plain,
( ( ( ^ [Y0: a,Y1: a] : Y0
@ sK3
@ sK2 )
!= sK3 )
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(constrained_superposition,[],[f69,f449]) ).
thf(f460,plain,
( ( sK3 != sK3 )
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(beta-eta_normalization,[],[f459]) ).
thf(f461,plain,
( $false
| ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(trivial_inequality_removal,[],[f460]) ).
thf(f462,plain,
( ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(avatar_contradiction_clause,[],[f461]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f31]) ).
cnf(s2,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f40]) ).
cnf(s4,plain,
( ~ spl1_2
| ~ spl1_3
| spl1_5 ),
inference(sat_conversion,[],[f202]) ).
cnf(s7,plain,
( ~ spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f323]) ).
cnf(s8,plain,
( ~ spl1_2
| ~ spl1_4 ),
inference(sat_conversion,[],[f383]) ).
cnf(s15,plain,
( ~ spl1_2
| ~ spl1_5
| ~ spl1_6 ),
inference(sat_conversion,[],[f427]) ).
cnf(s16,plain,
( ~ spl1_2
| ~ spl1_3
| ~ spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f462]) ).
cnf(s17,plain,
( ~ spl1_3
| ~ spl1_2 ),
inference(rat,[],[s16,s15,s4]) ).
cnf(s18,plain,
~ spl1_2,
inference(rat,[],[s17,s2,s8]) ).
cnf(s19,plain,
~ spl1_1,
inference(rat,[],[s7,s18]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s1,s18,s19]) ).
thf(f467,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEV170^5 : TPTP v9.3.1. Released v4.0.0.
% 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 15:17:48 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 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
% 0.08/0.19 % (235066)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.08/0.19 % (235077)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.08/0.19 % (235077)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
% 0.08/0.19 % (235074)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=993473737: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)
% 0.08/0.19 % (235072)lrs+10_16_si=on:nwc=1.5:random_seed=1445713107:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.08/0.19 % (235073)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4253489215:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.08/0.19 % (235076)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1657136387:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.08/0.19 % (235075)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3534451398:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.08/0.19 % (235071)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=930697417:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.08/0.19 % (235077)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=373102678:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.08/0.19 % (235074)Refutation not found, incomplete strategy
% 0.08/0.19 % (235074)------------------------------
% 0.08/0.19 % (235074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (235074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (235074)CaDiCaL version: 2.1.3
% 0.08/0.19 % (235074)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.19 % (235074)Time elapsed: 0.001 s
% 0.08/0.19 % (235074)Peak memory usage: 12 MB
% 0.08/0.19 % (235074)Instructions burned: 4 (million)
% 0.08/0.19 % (235074)------------------------------
% 0.08/0.19 % (235074)------------------------------
% 0.08/0.19 % (235073)Instruction limit reached!
% 0.08/0.19 % (235073)------------------------------
% 0.08/0.19 % (235073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (235073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (235073)CaDiCaL version: 2.1.3
% 0.08/0.19 % (235073)Termination reason: Instruction limit
% 0.08/0.19 % (235073)Termination phase: Saturation
% 0.08/0.19 % (235073)Time elapsed: 0.002 s
% 0.08/0.19 % (235073)Peak memory usage: 12 MB
% 0.08/0.19 % (235073)Instructions burned: 6 (million)
% 0.08/0.19 % (235077)Refutation not found, incomplete strategy
% 0.08/0.19 % (235077)------------------------------
% 0.08/0.19 % (235077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (235077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (235077)CaDiCaL version: 2.1.3
% 0.08/0.19 % (235077)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.19 % (235077)Time elapsed: 0.005 s
% 0.08/0.19 % (235077)Peak memory usage: 12 MB
% 0.08/0.19 % (235077)Instructions burned: 15 (million)
% 0.08/0.19 % (235077)------------------------------
% 0.08/0.19 % (235077)------------------------------
% 0.08/0.19 % (235075)Instruction limit reached!
% 0.08/0.19 % (235075)------------------------------
% 0.08/0.19 % (235075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (235075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.19 % (235075)CaDiCaL version: 2.1.3
% 0.08/0.19 % (235075)Termination reason: Instruction limit
% 0.08/0.19 % (235075)Termination phase: Saturation
% 0.08/0.19 % (235075)Time elapsed: 0.007 s
% 0.08/0.19 % (235075)Peak memory usage: 12 MB
% 0.08/0.19 % (235075)Instructions burned: 25 (million)
% 0.08/0.19 % (235072)Instruction limit reached!
% 0.08/0.19 % (235072)------------------------------
% 0.08/0.19 % (235072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.19 % (235072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (235072)CaDiCaL version: 2.1.3
% 0.08/0.21 % (235072)Termination reason: Instruction limit
% 0.08/0.21 % (235072)Termination phase: Saturation
% 0.08/0.21 % (235072)Time elapsed: 0.009 s
% 0.08/0.21 % (235072)Peak memory usage: 12 MB
% 0.08/0.21 % (235072)Instructions burned: 18 (million)
% 0.08/0.21 % (235071)Refutation not found, incomplete strategy
% 0.08/0.21 % (235071)------------------------------
% 0.08/0.21 % (235071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (235071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (235071)CaDiCaL version: 2.1.3
% 0.08/0.21 % (235071)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.21 % (235071)Time elapsed: 0.011 s
% 0.08/0.21 % (235071)Peak memory usage: 12 MB
% 0.08/0.21 % (235071)Instructions burned: 43 (million)
% 0.08/0.21 % (235071)------------------------------
% 0.08/0.21 % (235071)------------------------------
% 0.08/0.21 % (235085)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1318128675:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.08/0.21 % (235086)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2724275045:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.08/0.21 % (235087)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.21 % (235085)Instruction limit reached!
% 0.08/0.21 % (235085)------------------------------
% 0.08/0.21 % (235085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (235085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (235085)CaDiCaL version: 2.1.3
% 0.08/0.21 % (235085)Termination reason: Instruction limit
% 0.08/0.21 % (235085)Termination phase: Saturation
% 0.08/0.21 % (235085)Time elapsed: 0.002 s
% 0.08/0.21 % (235085)Peak memory usage: 12 MB
% 0.08/0.21 % (235085)Instructions burned: 4 (million)
% 0.08/0.21 % (235086)Instruction limit reached!
% 0.08/0.21 % (235086)------------------------------
% 0.08/0.21 % (235086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (235086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (235086)CaDiCaL version: 2.1.3
% 0.08/0.21 % (235086)Termination reason: Instruction limit
% 0.08/0.21 % (235086)Termination phase: Saturation
% 0.08/0.21 % (235086)Time elapsed: 0.002 s
% 0.08/0.21 % (235086)Peak memory usage: 12 MB
% 0.08/0.21 % (235086)Instructions burned: 7 (million)
% 0.08/0.21 % (235087)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2543845369:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.08/0.21 % (235089)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 % (235088)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=413130392:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.08/0.21 % (235089)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.08/0.21 % (235076)Instruction limit reached!
% 0.08/0.21 % (235076)------------------------------
% 0.08/0.21 % (235076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (235076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (235076)CaDiCaL version: 2.1.3
% 0.08/0.21 % (235076)Termination reason: Instruction limit
% 0.08/0.21 % (235076)Termination phase: Saturation
% 0.08/0.21 % (235076)Time elapsed: 0.019 s
% 0.08/0.21 % (235076)Peak memory usage: 13 MB
% 0.08/0.21 % (235076)Instructions burned: 75 (million)
% 0.08/0.21 % (235087)Instruction limit reached!
% 0.08/0.21 % (235087)------------------------------
% 0.08/0.21 % (235087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.21 % (235087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.21 % (235087)CaDiCaL version: 2.1.3
% 0.08/0.21 % (235087)Termination reason: Instruction limit
% 0.08/0.21 % (235087)Termination phase: Saturation
% 0.08/0.21 % (235087)Time elapsed: 0.002 s
% 0.08/0.21 % (235087)Peak memory usage: 12 MB
% 0.08/0.22 % (235087)Instructions burned: 9 (million)
% 0.08/0.22 % (235089)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=605941837:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.08/0.22 % (235088)Instruction limit reached!
% 0.08/0.22 % (235088)------------------------------
% 0.08/0.22 % (235088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (235088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (235088)CaDiCaL version: 2.1.3
% 0.08/0.22 % (235088)Termination reason: Instruction limit
% 0.08/0.22 % (235088)Termination phase: Saturation
% 0.08/0.22 % (235088)Time elapsed: 0.004 s
% 0.08/0.22 % (235088)Peak memory usage: 12 MB
% 0.08/0.22 % (235088)Instructions burned: 14 (million)
% 0.08/0.22 % (235090)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=1656089542:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.08/0.22 % (235095)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.08/0.22 % (235093)lrs+10_1_si=on:cs=on:random_seed=1102894519:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.08/0.22 % (235095)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=3492709136:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.08/0.22 % (235089)Instruction limit reached!
% 0.08/0.22 % (235089)------------------------------
% 0.08/0.22 % (235089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (235089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (235089)CaDiCaL version: 2.1.3
% 0.08/0.22 % (235089)Termination reason: Instruction limit
% 0.08/0.22 % (235089)Termination phase: Saturation
% 0.08/0.22 % (235089)Time elapsed: 0.007 s
% 0.08/0.22 % (235089)Peak memory usage: 12 MB
% 0.08/0.22 % (235089)Instructions burned: 29 (million)
% 0.08/0.22 % (235095)Refutation not found, incomplete strategy
% 0.08/0.22 % (235095)------------------------------
% 0.08/0.22 % (235095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (235095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (235095)CaDiCaL version: 2.1.3
% 0.08/0.22 % (235095)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.22 % (235095)Time elapsed: 0.001 s
% 0.08/0.22 % (235095)Peak memory usage: 12 MB
% 0.08/0.22 % (235095)Instructions burned: 3 (million)
% 0.08/0.22 % (235093)Instruction limit reached!
% 0.08/0.22 % (235093)------------------------------
% 0.08/0.22 % (235093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (235093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (235093)CaDiCaL version: 2.1.3
% 0.08/0.22 % (235093)Termination reason: Instruction limit
% 0.08/0.22 % (235093)Termination phase: Saturation
% 0.08/0.22 % (235093)Time elapsed: 0.002 s
% 0.08/0.22 % (235093)Peak memory usage: 12 MB
% 0.08/0.22 % (235093)Instructions burned: 9 (million)
% 0.08/0.22 % (235095)------------------------------
% 0.08/0.22 % (235095)------------------------------
% 0.08/0.22 % (235097)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=169556807:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.08/0.22 % (235098)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=347576389:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.08/0.22 % (235090)Refutation not found, incomplete strategy
% 0.08/0.22 % (235090)------------------------------
% 0.08/0.22 % (235090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.22 % (235090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.22 % (235090)CaDiCaL version: 2.1.3
% 0.08/0.22 % (235090)Termination reason: Refutation not found, incomplete strategy
% 0.08/0.22 % (235090)Time elapsed: 0.007 s
% 0.08/0.22 % (235090)Peak memory usage: 12 MB
% 0.08/0.22 % (235090)Instructions burned: 27 (million)
% 0.08/0.22 % (235098)Refutation not found, incomplete strategy
% 0.08/0.22 % (235098)------------------------------
% 0.08/0.22 % (235098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.24 % (235098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.24 % (235098)CaDiCaL version: 2.1.3
% 0.61/0.24 % (235098)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.24 % (235098)Time elapsed: 0.001 s
% 0.61/0.24 % (235098)Peak memory usage: 12 MB
% 0.61/0.24 % (235098)Instructions burned: 3 (million)
% 0.61/0.24 % (235090)------------------------------
% 0.61/0.24 % (235090)------------------------------
% 0.61/0.24 % (235098)------------------------------
% 0.61/0.24 % (235098)------------------------------
% 0.61/0.24 % (235100)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3316495518:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.61/0.24 % (235100)Refutation not found, incomplete strategy
% 0.61/0.24 % (235100)------------------------------
% 0.61/0.24 % (235100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.24 % (235100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.24 % (235100)CaDiCaL version: 2.1.3
% 0.61/0.24 % (235100)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.24 % (235100)Time elapsed: 0.002 s
% 0.61/0.24 % (235100)Peak memory usage: 12 MB
% 0.61/0.24 % (235100)Instructions burned: 6 (million)
% 0.61/0.24 % (235100)------------------------------
% 0.61/0.24 % (235100)------------------------------
% 0.61/0.24 % (235104)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1035810476:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.61/0.24 % (235105)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1810858391:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.61/0.24 % (235106)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3224428893:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.61/0.24 % (235104)Refutation not found, incomplete strategy
% 0.61/0.24 % (235104)------------------------------
% 0.61/0.24 % (235104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.24 % (235104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.24 % (235104)CaDiCaL version: 2.1.3
% 0.61/0.24 % (235104)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.24 % (235104)Time elapsed: 0.002 s
% 0.61/0.24 % (235104)Peak memory usage: 12 MB
% 0.61/0.24 % (235104)Instructions burned: 6 (million)
% 0.61/0.24 % (235097)Instruction limit reached!
% 0.61/0.24 % (235097)------------------------------
% 0.61/0.24 % (235097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.24 % (235097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.24 % (235097)CaDiCaL version: 2.1.3
% 0.61/0.24 % (235097)Termination reason: Instruction limit
% 0.61/0.24 % (235097)Termination phase: Saturation
% 0.61/0.24 % (235097)Time elapsed: 0.011 s
% 0.61/0.24 % (235097)Peak memory usage: 13 MB
% 0.61/0.24 % (235097)Instructions burned: 40 (million)
% 0.61/0.24 % (235104)------------------------------
% 0.61/0.24 % (235104)------------------------------
% 0.61/0.24 % (235110)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=470661987:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.61/0.24 % (235109)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2318036016: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)
% 0.61/0.24 % (235106)Instruction limit reached!
% 0.61/0.24 % (235106)------------------------------
% 0.61/0.24 % (235106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.24 % (235106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.24 % (235106)CaDiCaL version: 2.1.3
% 0.61/0.24 % (235106)Termination reason: Instruction limit
% 0.61/0.24 % (235106)Termination phase: Saturation
% 0.61/0.24 % (235106)Time elapsed: 0.004 s
% 0.61/0.24 % (235106)Peak memory usage: 12 MB
% 0.61/0.24 % (235106)Instructions burned: 16 (million)
% 0.61/0.24 % (235110)Refutation not found, incomplete strategy
% 0.61/0.24 % (235110)------------------------------
% 0.61/0.24 % (235110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.24 % (235110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.26 % (235109)Instruction limit reached!
% 0.61/0.26 % (235109)------------------------------
% 0.61/0.26 % (235109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.26 % (235109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.26 % (235110)CaDiCaL version: 2.1.3
% 0.61/0.26 % (235110)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.26 % (235110)Time elapsed: 0.003 s
% 0.61/0.26 % (235110)Peak memory usage: 12 MB
% 0.61/0.26 % (235109)CaDiCaL version: 2.1.3
% 0.61/0.26 % (235110)Instructions burned: 9 (million)
% 0.61/0.26 % (235109)Termination reason: Instruction limit
% 0.61/0.26 % (235109)Termination phase: Saturation
% 0.61/0.26 % (235109)Time elapsed: 0.002 s
% 0.61/0.26 % (235109)Peak memory usage: 12 MB
% 0.61/0.26 % (235109)Instructions burned: 9 (million)
% 0.61/0.26 % (235110)------------------------------
% 0.61/0.26 % (235110)------------------------------
% 0.61/0.26 % (235112)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2126969770:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.61/0.26 % (235117)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
% 0.61/0.26 % (235117)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.61/0.26 % (235116)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1027581900:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.61/0.26 % (235117)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=3094081882:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.61/0.26 % (235120)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.61/0.26 % (235112)Instruction limit reached!
% 0.61/0.26 % (235112)------------------------------
% 0.61/0.26 % (235112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.26 % (235112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.26 % (235112)CaDiCaL version: 2.1.3
% 0.61/0.26 % (235112)Termination reason: Instruction limit
% 0.61/0.26 % (235112)Termination phase: Saturation
% 0.61/0.26 % (235112)Time elapsed: 0.006 s
% 0.61/0.26 % (235112)Peak memory usage: 11 MB
% 0.61/0.26 % (235112)Instructions burned: 23 (million)
% 0.61/0.26 % (235120)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=4098278703:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.61/0.26 % (235123)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1005798827:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.26 % (235120)Instruction limit reached!
% 0.61/0.26 % (235120)------------------------------
% 0.61/0.26 % (235120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.26 % (235120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.26 % (235120)CaDiCaL version: 2.1.3
% 0.61/0.26 % (235120)Termination reason: Instruction limit
% 0.61/0.26 % (235120)Termination phase: Saturation
% 0.61/0.26 % (235120)Time elapsed: 0.002 s
% 0.61/0.26 % (235120)Peak memory usage: 12 MB
% 0.61/0.26 % (235120)Instructions burned: 8 (million)
% 0.61/0.26 % (235117)Instruction limit reached!
% 0.61/0.26 % (235117)------------------------------
% 0.61/0.26 % (235117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.26 % (235117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.26 % (235117)CaDiCaL version: 2.1.3
% 0.61/0.26 % (235117)Termination reason: Instruction limit
% 0.61/0.26 % (235117)Termination phase: Saturation
% 0.61/0.26 % (235117)Time elapsed: 0.005 s
% 0.61/0.26 % (235117)Peak memory usage: 12 MB
% 0.61/0.26 % (235117)Instructions burned: 14 (million)
% 0.61/0.26 % (235123)Instruction limit reached!
% 0.61/0.26 % (235123)------------------------------
% 0.61/0.26 % (235123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.26 % (235123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.26 % (235123)CaDiCaL version: 2.1.3
% 0.61/0.27 % (235123)Termination reason: Instruction limit
% 0.61/0.27 % (235123)Termination phase: Saturation
% 0.61/0.27 % (235123)Time elapsed: 0.003 s
% 0.61/0.27 % (235123)Peak memory usage: 12 MB
% 0.61/0.27 % (235123)Instructions burned: 11 (million)
% 0.61/0.27 % (235122)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=2079073921:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2999 on theBenchmark for (2999ds/31Mi)
% 0.61/0.27 % (235122)Refutation not found, incomplete strategy
% 0.61/0.27 % (235122)------------------------------
% 0.61/0.27 % (235122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.27 % (235122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.27 % (235122)CaDiCaL version: 2.1.3
% 0.61/0.27 % (235122)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.27 % (235122)Time elapsed: 0.001 s
% 0.61/0.27 % (235122)Peak memory usage: 12 MB
% 0.61/0.27 % (235122)Instructions burned: 3 (million)
% 0.61/0.27 % (235122)------------------------------
% 0.61/0.27 % (235122)------------------------------
% 0.61/0.27 % (235126)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=248843456:i=23:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.61/0.27 % (235129)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2840850539:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/20Mi)
% 0.61/0.27 % (235130)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=671845468:i=1240:rtra=on:ixr=off_2999 on theBenchmark for (2999ds/1240Mi)
% 0.61/0.27 % (235116)Instruction limit reached!
% 0.61/0.27 % (235116)------------------------------
% 0.61/0.27 % (235116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.27 % (235116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.27 % (235116)CaDiCaL version: 2.1.3
% 0.61/0.27 % (235116)Termination reason: Instruction limit
% 0.61/0.27 % (235116)Termination phase: Saturation
% 0.61/0.27 % (235116)Time elapsed: 0.017 s
% 0.61/0.27 % (235116)Peak memory usage: 12 MB
% 0.61/0.27 % (235116)Instructions burned: 63 (million)
% 0.61/0.27 % (235126)Instruction limit reached!
% 0.61/0.27 % (235126)------------------------------
% 0.61/0.27 % (235126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.27 % (235126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.27 % (235126)CaDiCaL version: 2.1.3
% 0.61/0.27 % (235126)Termination reason: Instruction limit
% 0.61/0.27 % (235126)Termination phase: Saturation
% 0.61/0.27 % (235126)Time elapsed: 0.005 s
% 0.61/0.27 % (235126)Peak memory usage: 11 MB
% 0.61/0.27 % (235126)Instructions burned: 24 (million)
% 0.61/0.27 % (235130)Refutation not found, incomplete strategy
% 0.61/0.27 % (235130)------------------------------
% 0.61/0.27 % (235130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.27 % (235130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.27 % (235130)CaDiCaL version: 2.1.3
% 0.61/0.27 % (235130)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.27 % (235130)Time elapsed: 0.003 s
% 0.61/0.27 % (235130)Peak memory usage: 12 MB
% 0.61/0.27 % (235130)Instructions burned: 9 (million)
% 0.61/0.27 % (235130)------------------------------
% 0.61/0.27 % (235130)------------------------------
% 0.61/0.27 % (235129)Instruction limit reached!
% 0.61/0.27 % (235129)------------------------------
% 0.61/0.27 % (235129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.27 % (235129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.27 % (235129)CaDiCaL version: 2.1.3
% 0.61/0.27 % (235129)Termination reason: Instruction limit
% 0.61/0.27 % (235129)Termination phase: Saturation
% 0.61/0.27 % (235129)Time elapsed: 0.005 s
% 0.61/0.27 % (235129)Peak memory usage: 12 MB
% 0.61/0.27 % (235129)Instructions burned: 21 (million)
% 0.61/0.27 % (235138)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.27 % (235131)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2721183143:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/143Mi)
% 0.61/0.27 % (235137)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3863046657:i=42:hud=10:rtra=on_2999 on theBenchmark for (2999ds/42Mi)
% 0.61/0.29 % (235138)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1478971477:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.29 % (235105)Refutation not found, incomplete strategy
% 0.61/0.29 % (235105)------------------------------
% 0.61/0.29 % (235105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.29 % (235105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.29 % (235105)CaDiCaL version: 2.1.3
% 0.61/0.29 % (235105)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.29 % (235105)Time elapsed: 0.040 s
% 0.61/0.29 % (235105)Peak memory usage: 13 MB
% 0.61/0.29 % (235105)Instructions burned: 154 (million)
% 0.61/0.29 % (235133)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3350870160:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/193Mi)
% 0.61/0.29 % (235105)------------------------------
% 0.61/0.29 % (235105)------------------------------
% 0.61/0.29 % (235139)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2184379128:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/181Mi)
% 0.61/0.29 % (235138)Instruction limit reached!
% 0.61/0.29 % (235138)------------------------------
% 0.61/0.29 % (235138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.29 % (235138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.29 % (235138)CaDiCaL version: 2.1.3
% 0.61/0.29 % (235138)Termination reason: Instruction limit
% 0.61/0.29 % (235138)Termination phase: Saturation
% 0.61/0.29 % (235138)Time elapsed: 0.003 s
% 0.61/0.29 % (235138)Peak memory usage: 12 MB
% 0.61/0.29 % (235138)Instructions burned: 11 (million)
% 0.61/0.29 % (235140)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=3965491109:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/169Mi)
% 0.61/0.29 % (235140)Refutation not found, incomplete strategy
% 0.61/0.29 % (235140)------------------------------
% 0.61/0.29 % (235140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.29 % (235140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.29 % (235140)CaDiCaL version: 2.1.3
% 0.61/0.29 % (235140)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.29 % (235140)Time elapsed: 0.001 s
% 0.61/0.29 % (235140)Peak memory usage: 12 MB
% 0.61/0.29 % (235140)Instructions burned: 4 (million)
% 0.61/0.29 % (235140)------------------------------
% 0.61/0.29 % (235140)------------------------------
% 0.61/0.29 % (235145)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 0.61/0.29 % (235137)Instruction limit reached!
% 0.61/0.29 % (235137)------------------------------
% 0.61/0.29 % (235137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.29 % (235137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.29 % (235137)CaDiCaL version: 2.1.3
% 0.61/0.29 % (235137)Termination reason: Instruction limit
% 0.61/0.29 % (235137)Termination phase: Saturation
% 0.61/0.29 % (235137)Time elapsed: 0.011 s
% 0.61/0.29 % (235137)Peak memory usage: 12 MB
% 0.61/0.29 % (235137)Instructions burned: 42 (million)
% 0.61/0.29 % (235145)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1558722021:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 0.61/0.29 % (235145)Instruction limit reached!
% 0.61/0.29 % (235145)------------------------------
% 0.61/0.29 % (235145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.29 % (235145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.29 % (235145)CaDiCaL version: 2.1.3
% 0.61/0.29 % (235145)Termination reason: Instruction limit
% 0.61/0.29 % (235145)Termination phase: Saturation
% 0.61/0.29 % (235145)Time elapsed: 0.002 s
% 0.61/0.29 % (235145)Peak memory usage: 12 MB
% 0.61/0.29 % (235145)Instructions burned: 6 (million)
% 0.61/0.29 % (235148)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=164451312:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 0.61/0.29 % (235149)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=418520570:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 0.61/0.30 % (235149)Refutation not found, incomplete strategy
% 0.61/0.30 % (235149)------------------------------
% 0.61/0.30 % (235149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.30 % (235149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.30 % (235149)CaDiCaL version: 2.1.3
% 0.61/0.30 % (235149)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.30 % (235149)Time elapsed: 0.004 s
% 0.61/0.30 % (235149)Peak memory usage: 12 MB
% 0.61/0.30 % (235149)Instructions burned: 12 (million)
% 0.61/0.30 % (235148)Instruction limit reached!
% 0.61/0.30 % (235148)------------------------------
% 0.61/0.30 % (235148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.30 % (235148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.30 % (235148)CaDiCaL version: 2.1.3
% 0.61/0.30 % (235148)Termination reason: Instruction limit
% 0.61/0.30 % (235148)Termination phase: Saturation
% 0.61/0.30 % (235148)Time elapsed: 0.006 s
% 0.61/0.30 % (235148)Peak memory usage: 12 MB
% 0.61/0.30 % (235148)Instructions burned: 24 (million)
% 0.61/0.30 % (235149)------------------------------
% 0.61/0.30 % (235149)------------------------------
% 0.61/0.30 % (235151)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=2123164993:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 0.61/0.30 % (235153)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=750127195: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)
% 0.61/0.30 % (235133)Refutation not found, incomplete strategy
% 0.61/0.30 % (235133)------------------------------
% 0.61/0.30 % (235133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.30 % (235133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.30 % (235133)CaDiCaL version: 2.1.3
% 0.61/0.30 % (235133)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.30 % (235133)Time elapsed: 0.023 s
% 0.61/0.30 % (235133)Peak memory usage: 13 MB
% 0.61/0.30 % (235133)Instructions burned: 88 (million)
% 0.61/0.30 % (235133)------------------------------
% 0.61/0.30 % (235133)------------------------------
% 0.61/0.30 % (235153)Refutation not found, incomplete strategy
% 0.61/0.30 % (235153)------------------------------
% 0.61/0.30 % (235153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.30 % (235153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.30 % (235153)CaDiCaL version: 2.1.3
% 0.61/0.30 % (235153)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.30 % (235153)Time elapsed: 0.001 s
% 0.61/0.30 % (235153)Peak memory usage: 12 MB
% 0.61/0.30 % (235153)Instructions burned: 4 (million)
% 0.61/0.30 % (235153)------------------------------
% 0.61/0.30 % (235153)------------------------------
% 0.61/0.30 % (235155)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=3236237025: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)
% 0.61/0.30 % (235157)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=988842332:i=480:rtra=on_2998 on theBenchmark for (2998ds/480Mi)
% 0.61/0.30 % (235151)Refutation not found, incomplete strategy
% 0.61/0.30 % (235151)------------------------------
% 0.61/0.30 % (235151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.30 % (235151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.30 % (235151)CaDiCaL version: 2.1.3
% 0.61/0.30 % (235151)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.30 % (235151)Time elapsed: 0.010 s
% 0.61/0.30 % (235151)Peak memory usage: 12 MB
% 0.61/0.30 % (235151)Instructions burned: 33 (million)
% 0.61/0.30 % (235151)------------------------------
% 0.61/0.30 % (235151)------------------------------
% 0.61/0.30 % (235157)Refutation not found, incomplete strategy
% 0.61/0.30 % (235157)------------------------------
% 0.61/0.30 % (235157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.34 % (235157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.34 % (235157)CaDiCaL version: 2.1.3
% 1.30/0.34 % (235157)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.34 % (235157)Time elapsed: 0.002 s
% 1.30/0.34 % (235157)Peak memory usage: 12 MB
% 1.30/0.34 % (235157)Instructions burned: 5 (million)
% 1.30/0.34 % (235157)------------------------------
% 1.30/0.34 % (235157)------------------------------
% 1.30/0.34 % (235160)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.30/0.34 % (235131)Instruction limit reached!
% 1.30/0.34 % (235131)------------------------------
% 1.30/0.34 % (235131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.34 % (235131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.34 % (235131)CaDiCaL version: 2.1.3
% 1.30/0.34 % (235131)Termination reason: Instruction limit
% 1.30/0.34 % (235131)Termination phase: Saturation
% 1.30/0.34 % (235131)Time elapsed: 0.036 s
% 1.30/0.34 % (235131)Peak memory usage: 13 MB
% 1.30/0.34 % (235131)Instructions burned: 147 (million)
% 1.30/0.34 % (235159)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1423161070: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)
% 1.30/0.34 % (235160)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2027168515:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/200Mi)
% 1.30/0.34 % (235159)Instruction limit reached!
% 1.30/0.34 % (235159)------------------------------
% 1.30/0.34 % (235159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.34 % (235159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.34 % (235159)CaDiCaL version: 2.1.3
% 1.30/0.34 % (235159)Termination reason: Instruction limit
% 1.30/0.34 % (235159)Termination phase: Saturation
% 1.30/0.34 % (235159)Time elapsed: 0.006 s
% 1.30/0.34 % (235159)Peak memory usage: 12 MB
% 1.30/0.34 % (235159)Instructions burned: 21 (million)
% 1.30/0.34 % (235163)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3947618412:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/13Mi)
% 1.30/0.34 % (235155)Instruction limit reached!
% 1.30/0.34 % (235155)------------------------------
% 1.30/0.34 % (235155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.34 % (235155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.34 % (235155)CaDiCaL version: 2.1.3
% 1.30/0.34 % (235155)Termination reason: Instruction limit
% 1.30/0.34 % (235155)Termination phase: Saturation
% 1.30/0.34 % (235155)Time elapsed: 0.013 s
% 1.30/0.34 % (235155)Peak memory usage: 12 MB
% 1.30/0.34 % (235155)Instructions burned: 47 (million)
% 1.30/0.34 % (235164)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=3117516761:i=66:s2at=3:nm=2:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/66Mi)
% 1.30/0.34 % (235165)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1607341549:i=51:fsr=off:rtra=on_2998 on theBenchmark for (2998ds/51Mi)
% 1.30/0.34 % (235139)Instruction limit reached!
% 1.30/0.34 % (235139)------------------------------
% 1.30/0.34 % (235139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.34 % (235139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.34 % (235139)CaDiCaL version: 2.1.3
% 1.30/0.34 % (235139)Termination reason: Instruction limit
% 1.30/0.34 % (235139)Termination phase: Saturation
% 1.30/0.34 % (235139)Time elapsed: 0.044 s
% 1.30/0.34 % (235139)Peak memory usage: 13 MB
% 1.30/0.34 % (235139)Instructions burned: 181 (million)
% 1.30/0.34 % (235165)Refutation not found, incomplete strategy
% 1.30/0.34 % (235165)------------------------------
% 1.30/0.34 % (235165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.34 % (235165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.34 % (235165)CaDiCaL version: 2.1.3
% 1.30/0.34 % (235165)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.34 % (235165)Time elapsed: 0.002 s
% 1.30/0.34 % (235165)Peak memory usage: 12 MB
% 1.30/0.34 % (235165)Instructions burned: 8 (million)
% 1.30/0.34 % (235163)Instruction limit reached!
% 1.30/0.36 % (235163)------------------------------
% 1.30/0.36 % (235163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.36 % (235163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.36 % (235163)CaDiCaL version: 2.1.3
% 1.30/0.36 % (235163)Termination reason: Instruction limit
% 1.30/0.36 % (235163)Termination phase: Saturation
% 1.30/0.36 % (235163)Time elapsed: 0.004 s
% 1.30/0.36 % (235163)Peak memory usage: 12 MB
% 1.30/0.36 % (235163)Instructions burned: 17 (million)
% 1.30/0.36 % (235165)------------------------------
% 1.30/0.36 % (235165)------------------------------
% 1.30/0.36 % (235168)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2338768633:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.30/0.36 % (235168)Refutation not found, incomplete strategy
% 1.30/0.36 % (235168)------------------------------
% 1.30/0.36 % (235168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.36 % (235168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.36 % (235168)CaDiCaL version: 2.1.3
% 1.30/0.36 % (235168)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.36 % (235168)Time elapsed: 0.001 s
% 1.30/0.36 % (235168)Peak memory usage: 12 MB
% 1.30/0.36 % (235168)Instructions burned: 3 (million)
% 1.30/0.36 % (235168)------------------------------
% 1.30/0.36 % (235168)------------------------------
% 1.30/0.36 % (235172)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3054191195:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2998 on theBenchmark for (2998ds/137Mi)
% 1.30/0.36 % (235175)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 1.30/0.36 % (235173)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=1222323376:cond=on:i=34:hud=10:nm=10:rtra=on_2998 on theBenchmark for (2998ds/34Mi)
% 1.30/0.36 % (235175)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3948477149:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2998 on theBenchmark for (2998ds/180Mi)
% 1.30/0.36 % (235174)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1423364942:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/67Mi)
% 1.30/0.36 % (235175)Refutation not found, incomplete strategy
% 1.30/0.36 % (235175)------------------------------
% 1.30/0.36 % (235175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.36 % (235175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.36 % (235175)CaDiCaL version: 2.1.3
% 1.30/0.36 % (235175)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.36 % (235175)Time elapsed: 0.001 s
% 1.30/0.36 % (235175)Peak memory usage: 12 MB
% 1.30/0.36 % (235175)Instructions burned: 3 (million)
% 1.30/0.36 % (235175)------------------------------
% 1.30/0.36 % (235175)------------------------------
% 1.30/0.36 % (235164)Instruction limit reached!
% 1.30/0.36 % (235164)------------------------------
% 1.30/0.36 % (235164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.36 % (235164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.36 % (235164)CaDiCaL version: 2.1.3
% 1.30/0.36 % (235164)Termination reason: Instruction limit
% 1.30/0.36 % (235164)Termination phase: Saturation
% 1.30/0.36 % (235164)Time elapsed: 0.017 s
% 1.30/0.36 % (235164)Peak memory usage: 13 MB
% 1.30/0.36 % (235164)Instructions burned: 66 (million)
% 1.30/0.36 % (235172)Refutation not found, incomplete strategy
% 1.30/0.36 % (235172)------------------------------
% 1.30/0.36 % (235172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.36 % (235172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.36 % (235172)CaDiCaL version: 2.1.3
% 1.30/0.36 % (235172)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.36 % (235172)Time elapsed: 0.008 s
% 1.30/0.36 % (235172)Peak memory usage: 12 MB
% 1.30/0.36 % (235172)Instructions burned: 29 (million)
% 1.30/0.36 % (235172)------------------------------
% 1.30/0.36 % (235172)------------------------------
% 1.30/0.36 % (235178)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3216412617:st=2:i=246:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/246Mi)
% 1.30/0.41 % (235173)Instruction limit reached!
% 1.30/0.41 % (235173)------------------------------
% 1.30/0.41 % (235173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.41 % (235173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.41 % (235173)CaDiCaL version: 2.1.3
% 1.30/0.41 % (235173)Termination reason: Instruction limit
% 1.30/0.41 % (235173)Termination phase: Saturation
% 1.30/0.41 % (235173)Time elapsed: 0.010 s
% 1.30/0.41 % (235173)Peak memory usage: 12 MB
% 1.30/0.41 % (235173)Instructions burned: 35 (million)
% 1.30/0.41 % (235182)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1087049049:cond=on:i=96:bd=all:rtra=on_2998 on theBenchmark for (2998ds/96Mi)
% 1.30/0.41 % (235183)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1570687082:i=427:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/427Mi)
% 1.30/0.41 % (235184)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2711907275:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/874Mi)
% 1.30/0.41 % (235174)Instruction limit reached!
% 1.30/0.41 % (235174)------------------------------
% 1.30/0.41 % (235174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.41 % (235174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.41 % (235174)CaDiCaL version: 2.1.3
% 1.30/0.41 % (235174)Termination reason: Instruction limit
% 1.30/0.41 % (235174)Termination phase: Saturation
% 1.30/0.41 % (235174)Time elapsed: 0.016 s
% 1.30/0.41 % (235174)Peak memory usage: 13 MB
% 1.30/0.41 % (235174)Instructions burned: 71 (million)
% 1.30/0.41 % (235186)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1525973007:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/515Mi)
% 1.30/0.41 % (235178)Refutation not found, incomplete strategy
% 1.30/0.41 % (235178)------------------------------
% 1.30/0.41 % (235178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.41 % (235178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.41 % (235178)CaDiCaL version: 2.1.3
% 1.30/0.41 % (235178)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.41 % (235178)Time elapsed: 0.019 s
% 1.30/0.41 % (235178)Peak memory usage: 12 MB
% 1.30/0.41 % (235178)Instructions burned: 65 (million)
% 1.30/0.41 % (235178)------------------------------
% 1.30/0.41 % (235178)------------------------------
% 1.30/0.41 % (235160)Instruction limit reached!
% 1.30/0.41 % (235160)------------------------------
% 1.30/0.41 % (235160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.41 % (235160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.41 % (235160)CaDiCaL version: 2.1.3
% 1.30/0.41 % (235160)Termination reason: Instruction limit
% 1.30/0.41 % (235160)Termination phase: Saturation
% 1.30/0.41 % (235160)Time elapsed: 0.048 s
% 1.30/0.41 % (235160)Peak memory usage: 12 MB
% 1.30/0.41 % (235160)Instructions burned: 208 (million)
% 1.30/0.41 % (235190)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2889255481:st=1.5:i=130:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/130Mi)
% 1.30/0.41 % (235190)Refutation not found, incomplete strategy
% 1.30/0.41 % (235190)------------------------------
% 1.30/0.41 % (235190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.41 % (235190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.41 % (235190)CaDiCaL version: 2.1.3
% 1.30/0.41 % (235190)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.41 % (235190)Time elapsed: 0.004 s
% 1.30/0.41 % (235190)Peak memory usage: 12 MB
% 1.30/0.41 % (235190)Instructions burned: 12 (million)
% 1.30/0.41 % (235190)------------------------------
% 1.30/0.41 % (235190)------------------------------
% 1.30/0.41 % (235193)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=152077928:i=44:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/44Mi)
% 1.30/0.41 % (235194)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1482741013:s2a=on:i=571:nm=16:rtra=on_2998 on theBenchmark for (2998ds/571Mi)
% 1.30/0.41 % (235194)Refutation not found, incomplete strategy
% 1.30/0.41 % (235194)------------------------------
% 1.30/0.41 % (235194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.41 % (235194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.44 % (235194)CaDiCaL version: 2.1.3
% 1.99/0.44 % (235194)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.44 % (235194)Time elapsed: 0.003 s
% 1.99/0.44 % (235194)Peak memory usage: 12 MB
% 1.99/0.44 % (235194)Instructions burned: 8 (million)
% 1.99/0.44 % (235193)Refutation not found, incomplete strategy
% 1.99/0.44 % (235193)------------------------------
% 1.99/0.44 % (235193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.44 % (235193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.44 % (235193)CaDiCaL version: 2.1.3
% 1.99/0.44 % (235193)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.44 % (235193)Time elapsed: 0.003 s
% 1.99/0.44 % (235193)Peak memory usage: 12 MB
% 1.99/0.44 % (235193)Instructions burned: 10 (million)
% 1.99/0.44 % (235194)------------------------------
% 1.99/0.44 % (235194)------------------------------
% 1.99/0.44 % (235193)------------------------------
% 1.99/0.44 % (235193)------------------------------
% 1.99/0.44 % (235195)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1792999221:i=450:rtra=on:ixr=off:ntd=on_2998 on theBenchmark for (2998ds/450Mi)
% 1.99/0.44 % (235195)Refutation not found, incomplete strategy
% 1.99/0.44 % (235195)------------------------------
% 1.99/0.44 % (235195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.44 % (235195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.44 % (235195)CaDiCaL version: 2.1.3
% 1.99/0.44 % (235195)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.44 % (235195)Time elapsed: 0.003 s
% 1.99/0.44 % (235195)Peak memory usage: 12 MB
% 1.99/0.44 % (235195)Instructions burned: 10 (million)
% 1.99/0.44 % (235195)------------------------------
% 1.99/0.44 % (235195)------------------------------
% 1.99/0.44 % (235182)Instruction limit reached!
% 1.99/0.44 % (235182)------------------------------
% 1.99/0.44 % (235182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.44 % (235182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.44 % (235182)CaDiCaL version: 2.1.3
% 1.99/0.44 % (235182)Termination reason: Instruction limit
% 1.99/0.44 % (235182)Termination phase: Saturation
% 1.99/0.44 % (235182)Time elapsed: 0.037 s
% 1.99/0.44 % (235182)Peak memory usage: 13 MB
% 1.99/0.44 % (235182)Instructions burned: 98 (million)
% 1.99/0.44 % (235198)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=48942009:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/95Mi)
% 1.99/0.44 % (235199)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=4072882295:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2997 on theBenchmark for (2997ds/65Mi)
% 1.99/0.44 % (235199)Refutation not found, incomplete strategy
% 1.99/0.44 % (235199)------------------------------
% 1.99/0.44 % (235199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.44 % (235199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.44 % (235199)CaDiCaL version: 2.1.3
% 1.99/0.44 % (235199)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.44 % (235199)Time elapsed: 0.003 s
% 1.99/0.44 % (235199)Peak memory usage: 12 MB
% 1.99/0.44 % (235199)Instructions burned: 11 (million)
% 1.99/0.44 % (235199)------------------------------
% 1.99/0.44 % (235199)------------------------------
% 1.99/0.44 % (235201)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=1099442649: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_2997 on theBenchmark for (2997ds/105Mi)
% 1.99/0.44 % (235202)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=958189534:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2997 on theBenchmark for (2997ds/5755Mi)
% 1.99/0.44 % (235202)Refutation not found, incomplete strategy
% 1.99/0.44 % (235202)------------------------------
% 1.99/0.44 % (235202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.44 % (235202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.47 % (235202)CaDiCaL version: 2.1.3
% 1.99/0.47 % (235202)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.47 % (235202)Time elapsed: 0.003 s
% 1.99/0.47 % (235202)Peak memory usage: 13 MB
% 1.99/0.47 % (235202)Instructions burned: 8 (million)
% 1.99/0.47 % (235202)------------------------------
% 1.99/0.47 % (235202)------------------------------
% 1.99/0.47 % (235205)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4214617238:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/375Mi)
% 1.99/0.47 % (235208)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3655137426:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/495Mi)
% 1.99/0.47 % (235198)Instruction limit reached!
% 1.99/0.47 % (235198)------------------------------
% 1.99/0.47 % (235198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.47 % (235198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.47 % (235198)CaDiCaL version: 2.1.3
% 1.99/0.47 % (235198)Termination reason: Instruction limit
% 1.99/0.47 % (235198)Termination phase: Saturation
% 1.99/0.47 % (235198)Time elapsed: 0.025 s
% 1.99/0.47 % (235198)Peak memory usage: 13 MB
% 1.99/0.47 % (235198)Instructions burned: 97 (million)
% 1.99/0.47 % (235211)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=1831317452:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 1.99/0.47 % (235201)Instruction limit reached!
% 1.99/0.47 % (235201)------------------------------
% 1.99/0.47 % (235201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.47 % (235201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.47 % (235201)CaDiCaL version: 2.1.3
% 1.99/0.47 % (235201)Termination reason: Instruction limit
% 1.99/0.47 % (235201)Termination phase: Saturation
% 1.99/0.47 % (235201)Time elapsed: 0.028 s
% 1.99/0.47 % (235201)Peak memory usage: 13 MB
% 1.99/0.47 % (235201)Instructions burned: 107 (million)
% 1.99/0.47 % (235184)Refutation not found, incomplete strategy
% 1.99/0.47 % (235184)------------------------------
% 1.99/0.47 % (235184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.47 % (235184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.47 % (235184)CaDiCaL version: 2.1.3
% 1.99/0.47 % (235184)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.47 % (235184)Time elapsed: 0.075 s
% 1.99/0.47 % (235184)Peak memory usage: 13 MB
% 1.99/0.47 % (235184)Instructions burned: 297 (million)
% 1.99/0.47 % (235184)------------------------------
% 1.99/0.47 % (235184)------------------------------
% 1.99/0.47 % (235211)Instruction limit reached!
% 1.99/0.47 % (235211)------------------------------
% 1.99/0.47 % (235211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.47 % (235211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.47 % (235211)CaDiCaL version: 2.1.3
% 1.99/0.47 % (235211)Termination reason: Instruction limit
% 1.99/0.47 % (235211)Termination phase: Saturation
% 1.99/0.47 % (235211)Time elapsed: 0.010 s
% 1.99/0.47 % (235211)Peak memory usage: 12 MB
% 1.99/0.47 % (235211)Instructions burned: 35 (million)
% 1.99/0.47 % (235213)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2398708779:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/91Mi)
% 1.99/0.47 % (235214)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=942698450:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.99/0.47 % (235214)Refutation not found, incomplete strategy
% 1.99/0.47 % (235214)------------------------------
% 1.99/0.47 % (235214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.47 % (235214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.47 % (235214)CaDiCaL version: 2.1.3
% 1.99/0.47 % (235214)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.47 % (235214)Time elapsed: 0.002 s
% 1.99/0.47 % (235214)Peak memory usage: 12 MB
% 1.99/0.47 % (235214)Instructions burned: 6 (million)
% 1.99/0.47 % (235214)------------------------------
% 1.99/0.47 % (235214)------------------------------
% 1.99/0.47 % (235215)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=490527643:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.99/0.50 % (235183)Instruction limit reached!
% 1.99/0.50 % (235183)------------------------------
% 1.99/0.50 % (235183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235183)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235183)Termination reason: Instruction limit
% 1.99/0.50 % (235183)Termination phase: Saturation
% 1.99/0.50 % (235183)Time elapsed: 0.100 s
% 1.99/0.50 % (235183)Peak memory usage: 16 MB
% 1.99/0.50 % (235183)Instructions burned: 430 (million)
% 1.99/0.50 % (235218)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=3177769316:i=338:bd=all:ins=4:rtra=on_2997 on theBenchmark for (2997ds/338Mi)
% 1.99/0.50 % (235215)Instruction limit reached!
% 1.99/0.50 % (235215)------------------------------
% 1.99/0.50 % (235215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235215)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235215)Termination reason: Instruction limit
% 1.99/0.50 % (235215)Termination phase: Saturation
% 1.99/0.50 % (235215)Time elapsed: 0.007 s
% 1.99/0.50 % (235215)Peak memory usage: 12 MB
% 1.99/0.50 % (235215)Instructions burned: 25 (million)
% 1.99/0.50 % (235222)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 1.99/0.50 % (235220)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2693244863:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2997 on theBenchmark for (2997ds/28Mi)
% 1.99/0.50 % (235222)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2810283721:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2997 on theBenchmark for (2997ds/137Mi)
% 1.99/0.50 % (235213)Instruction limit reached!
% 1.99/0.50 % (235213)------------------------------
% 1.99/0.50 % (235213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235213)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235213)Termination reason: Instruction limit
% 1.99/0.50 % (235213)Termination phase: Saturation
% 1.99/0.50 % (235213)Time elapsed: 0.027 s
% 1.99/0.50 % (235213)Peak memory usage: 13 MB
% 1.99/0.50 % (235213)Instructions burned: 94 (million)
% 1.99/0.50 % (235222)Refutation not found, incomplete strategy
% 1.99/0.50 % (235222)------------------------------
% 1.99/0.50 % (235222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235222)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235222)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235222)Time elapsed: 0.004 s
% 1.99/0.50 % (235222)Peak memory usage: 12 MB
% 1.99/0.50 % (235222)Instructions burned: 15 (million)
% 1.99/0.50 % (235222)------------------------------
% 1.99/0.50 % (235222)------------------------------
% 1.99/0.50 % (235220)Instruction limit reached!
% 1.99/0.50 % (235220)------------------------------
% 1.99/0.50 % (235220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235220)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235220)Termination reason: Instruction limit
% 1.99/0.50 % (235220)Termination phase: Saturation
% 1.99/0.50 % (235220)Time elapsed: 0.008 s
% 1.99/0.50 % (235220)Peak memory usage: 12 MB
% 1.99/0.50 % (235220)Instructions burned: 32 (million)
% 1.99/0.50 % (235227)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 1.99/0.50 % (235186)Instruction limit reached!
% 1.99/0.50 % (235186)------------------------------
% 1.99/0.50 % (235186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235186)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235186)Termination reason: Instruction limit
% 1.99/0.50 % (235186)Termination phase: Saturation
% 1.99/0.50 % (235186)Time elapsed: 0.122 s
% 1.99/0.50 % (235186)Peak memory usage: 17 MB
% 1.99/0.50 % (235186)Instructions burned: 518 (million)
% 1.99/0.50 % (235226)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=970157664:i=227:sd=1:bd=all:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/227Mi)
% 1.99/0.50 % (235227)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=994440984:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/373Mi)
% 1.99/0.50 % (235225)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=2217893693:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2997 on theBenchmark for (2997ds/340Mi)
% 1.99/0.50 % (235226)Refutation not found, incomplete strategy
% 1.99/0.50 % (235226)------------------------------
% 1.99/0.50 % (235226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235226)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235226)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235226)Time elapsed: 0.003 s
% 1.99/0.50 % (235226)Peak memory usage: 12 MB
% 1.99/0.50 % (235226)Instructions burned: 10 (million)
% 1.99/0.50 % (235226)------------------------------
% 1.99/0.50 % (235226)------------------------------
% 1.99/0.50 % (235229)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=113262009:i=116:ep=RSTC:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/116Mi)
% 1.99/0.50 % (235229)Refutation not found, incomplete strategy
% 1.99/0.50 % (235229)------------------------------
% 1.99/0.50 % (235229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235229)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235229)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235229)Time elapsed: 0.002 s
% 1.99/0.50 % (235229)Peak memory usage: 12 MB
% 1.99/0.50 % (235229)Instructions burned: 5 (million)
% 1.99/0.50 % (235229)------------------------------
% 1.99/0.50 % (235229)------------------------------
% 1.99/0.50 % (235232)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4184075894:i=575:rtra=on_2996 on theBenchmark for (2996ds/575Mi)
% 1.99/0.50 % (235205)Instruction limit reached!
% 1.99/0.50 % (235205)------------------------------
% 1.99/0.50 % (235205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235205)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235205)Termination reason: Instruction limit
% 1.99/0.50 % (235205)Termination phase: Saturation
% 1.99/0.50 % (235205)Time elapsed: 0.090 s
% 1.99/0.50 % (235205)Peak memory usage: 13 MB
% 1.99/0.50 % (235205)Instructions burned: 378 (million)
% 1.99/0.50 % (235232)Refutation not found, incomplete strategy
% 1.99/0.50 % (235232)------------------------------
% 1.99/0.50 % (235232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235232)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235232)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235232)Time elapsed: 0.006 s
% 1.99/0.50 % (235232)Peak memory usage: 12 MB
% 1.99/0.50 % (235232)Instructions burned: 18 (million)
% 1.99/0.50 % (235232)------------------------------
% 1.99/0.50 % (235232)------------------------------
% 1.99/0.50 % (235234)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2486566208:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2996 on theBenchmark for (2996ds/270Mi)
% 1.99/0.50 % (235236)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=1763559183:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2996 on theBenchmark for (2996ds/9840Mi)
% 1.99/0.50 % (235236)Refutation not found, incomplete strategy
% 1.99/0.50 % (235236)------------------------------
% 1.99/0.50 % (235236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235236)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235236)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235236)Time elapsed: 0.001 s
% 1.99/0.50 % (235236)Peak memory usage: 12 MB
% 1.99/0.50 % (235236)Instructions burned: 4 (million)
% 1.99/0.50 % (235236)------------------------------
% 1.99/0.50 % (235236)------------------------------
% 1.99/0.50 % (235237)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=733823945:i=421:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/421Mi)
% 1.99/0.50 % (235237)Refutation not found, incomplete strategy
% 1.99/0.50 % (235237)------------------------------
% 1.99/0.50 % (235237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235237)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235237)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235237)Time elapsed: 0.002 s
% 1.99/0.50 % (235237)Peak memory usage: 12 MB
% 1.99/0.50 % (235237)Instructions burned: 8 (million)
% 1.99/0.50 % (235237)------------------------------
% 1.99/0.50 % (235237)------------------------------
% 1.99/0.50 % (235240)WARNING Broken Constraint: if sine_to_age_tolerance(3) 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
% 1.99/0.50 % (235240)lrs+10_40_sil=128000:tgt=full:cnfonf=off:si=on:sp=reverse_frequency:spb=goal_then_units:uwa=off:fd=preordered:nwc=1:random_seed=2140943326:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/270Mi)
% 1.99/0.50 % (235242)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=235940465:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 1.99/0.50 % (235218)Refutation not found, incomplete strategy
% 1.99/0.50 % (235218)------------------------------
% 1.99/0.50 % (235218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235218)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235218)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235218)Time elapsed: 0.071 s
% 1.99/0.50 % (235218)Peak memory usage: 14 MB
% 1.99/0.50 % (235218)Instructions burned: 269 (million)
% 1.99/0.50 % (235218)------------------------------
% 1.99/0.50 % (235218)------------------------------
% 1.99/0.50 % (235242)Refutation not found, incomplete strategy
% 1.99/0.50 % (235242)------------------------------
% 1.99/0.50 % (235242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235242)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235242)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235242)Time elapsed: 0.001 s
% 1.99/0.50 % (235242)Peak memory usage: 12 MB
% 1.99/0.50 % (235242)Instructions burned: 3 (million)
% 1.99/0.50 % (235242)------------------------------
% 1.99/0.50 % (235242)------------------------------
% 1.99/0.50 % (235240)Refutation not found, incomplete strategy
% 1.99/0.50 % (235240)------------------------------
% 1.99/0.50 % (235240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235240)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235240)Termination reason: Refutation not found, incomplete strategy
% 1.99/0.50 % (235240)Time elapsed: 0.011 s
% 1.99/0.50 % (235240)Peak memory usage: 12 MB
% 1.99/0.50 % (235240)Instructions burned: 42 (million)
% 1.99/0.50 % (235240)------------------------------
% 1.99/0.50 % (235240)------------------------------
% 1.99/0.50 % (235208)Instruction limit reached!
% 1.99/0.50 % (235208)------------------------------
% 1.99/0.50 % (235208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235208)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235208)Termination reason: Instruction limit
% 1.99/0.50 % (235208)Termination phase: Saturation
% 1.99/0.50 % (235208)Time elapsed: 0.118 s
% 1.99/0.50 % (235208)Peak memory usage: 15 MB
% 1.99/0.50 % (235208)Instructions burned: 498 (million)
% 1.99/0.50 % (235234) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-235066-235234"...
% 1.99/0.50 % (235245)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.99/0.50 % (235245)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
% 1.99/0.50 % (235245)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=3572270162:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2996 on theBenchmark for (2996ds/1440Mi)
% 1.99/0.50 % (235246)dis+10_2_sil=128000:si=on:random_seed=1297712974:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2996 on theBenchmark for (2996ds/339Mi)
% 1.99/0.50 % (235234)...printing done.
% 1.99/0.50 % (235234)Refutation found. Thanks to Tanya!
% 1.99/0.50 % SZS status Theorem for theBenchmark
% 1.99/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.50 % (235234)------------------------------
% 1.99/0.50 % (235234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.99/0.50 % (235234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.99/0.50 % (235234)CaDiCaL version: 2.1.3
% 1.99/0.50 % (235234)Termination reason: Refutation
% 1.99/0.50 % (235234)Time elapsed: 0.033 s
% 1.99/0.50 % (235234)Peak memory usage: 13 MB
% 1.99/0.50 % (235234)Instructions burned: 126 (million)
% 1.99/0.50 % (235066)Success in time 0.364 s
% 1.99/0.50 % Vampire exiting
%------------------------------------------------------------------------------