%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV010^5 : 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 : n002.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 08:37:27 AM UTC 2026
% Result : Theorem 2.51s 0.63s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 11
% Syntax : Number of formulae : 142 ( 41 unt; 0 typ; 10 def)
% Number of atoms : 1037 ( 209 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 2308 ( 129 ~; 121 |; 184 &;1362 @)
% ( 19 <=>; 170 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 126 ( 126 >; 0 *; 0 +; 0 <<)
% Number of symbols : 48 ( 43 usr; 28 con; 0-4 aty)
% ( 240 !!; 83 ??; 0 @@+; 0 @@-)
% Number of variables : 370 ( 0 sgn 80 !; 15 ?; 370 :)
% 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,
vIMP: $o > $o > $o ).
thf(func_def_4,type,
vAND: $o > $o > $o ).
thf(func_def_5,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_7,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_10,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_11,type,
vIFF: $o > $o > $o ).
thf(func_def_12,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_14,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_17,type,
sK0: a > a > $o ).
thf(func_def_19,type,
sK2: a ).
thf(func_def_20,type,
sK3: a ).
thf(func_def_21,type,
sK4: a > $o ).
thf(func_def_22,type,
sK5: a ).
thf(func_def_23,type,
sK6: a ).
thf(func_def_24,type,
sK7: a ).
thf(func_def_25,type,
sK8: a ).
thf(func_def_26,type,
sK9: a > $o ).
thf(func_def_27,type,
sK10: a ).
thf(func_def_28,type,
sK11: a ).
thf(func_def_29,type,
sK12: a ).
thf(func_def_30,type,
sK13: a ).
thf(func_def_31,type,
sK14: a ).
thf(func_def_32,type,
sK15: a > $o ).
thf(func_def_33,type,
sK16: a ).
thf(func_def_34,type,
sK17: a ).
thf(func_def_35,type,
sK18: a ).
thf(f1,conjecture,
! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X1: a,X3: a,X2: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) ) )
=> ( ! [X4: a > $o] :
( ( ! [X1: a] :
( ( X4 @ X1 )
=> ! [X2: a] :
( ( X0 @ X1 @ X2 )
<=> ( X4 @ X2 ) ) )
& ? [X3: a] : ( X4 @ X3 ) )
=> ? [X3: a] : ( X4 @ X3 ) )
& ! [X1: a] :
? [X4: a > $o] :
( ? [X3: a] : ( X4 @ X3 )
& ( X4 @ X1 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ! [X6: a > $o] :
( ( ( X6 @ X1 )
& ? [X3: a] : ( X6 @ X3 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X6 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) ) )
=> ( X6 = X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM260_pme) ).
thf(f2,negated_conjecture,
~ ! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X1: a,X2: a] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X2 @ X1 ) )
& ! [X1: a,X3: a,X2: a] :
( ( ( X0 @ X1 @ X2 )
& ( X0 @ X2 @ X3 ) )
=> ( X0 @ X1 @ X3 ) ) )
=> ( ! [X4: a > $o] :
( ( ! [X1: a] :
( ( X4 @ X1 )
=> ! [X2: a] :
( ( X0 @ X1 @ X2 )
<=> ( X4 @ X2 ) ) )
& ? [X3: a] : ( X4 @ X3 ) )
=> ? [X3: a] : ( X4 @ X3 ) )
& ! [X1: a] :
? [X4: a > $o] :
( ? [X3: a] : ( X4 @ X3 )
& ( X4 @ X1 )
& ! [X5: a] :
( ( X4 @ X5 )
=> ! [X2: a] :
( ( X4 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) )
& ! [X6: a > $o] :
( ( ( X6 @ X1 )
& ? [X3: a] : ( X6 @ X3 )
& ! [X5: a] :
( ( X6 @ X5 )
=> ! [X2: a] :
( ( X6 @ X2 )
<=> ( X0 @ X5 @ X2 ) ) ) )
=> ( X6 = X4 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: a > a > $o] :
( ( ! [X1: a] : ( X0 @ X1 @ X1 )
& ! [X2: a,X3: a] :
( ( X0 @ X2 @ X3 )
=> ( X0 @ X3 @ X2 ) )
& ! [X4: a,X5: a,X6: a] :
( ( ( X0 @ X4 @ X6 )
& ( X0 @ X6 @ X5 ) )
=> ( X0 @ X4 @ X5 ) ) )
=> ( ! [X7: a > $o] :
( ( ! [X8: a] :
( ( X7 @ X8 )
=> ! [X9: a] :
( ( X0 @ X8 @ X9 )
<=> ( X7 @ X9 ) ) )
& ? [X10: a] : ( X7 @ X10 ) )
=> ? [X11: a] : ( X7 @ X11 ) )
& ! [X12: a] :
? [X13: a > $o] :
( ? [X14: a] : ( X13 @ X14 )
& ( X13 @ X12 )
& ! [X15: a] :
( ( X13 @ X15 )
=> ! [X16: a] :
( ( X13 @ X16 )
<=> ( X0 @ X15 @ X16 ) ) )
& ! [X17: a > $o] :
( ( ( X17 @ X12 )
& ? [X18: a] : ( X17 @ X18 )
& ! [X19: a] :
( ( X17 @ X19 )
=> ! [X20: a] :
( ( X17 @ X20 )
<=> ( X0 @ X19 @ X20 ) ) ) )
=> ( X13 = X17 ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( ?? @ a
@ ^ [Y4: a] : ( Y3 @ Y4 ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 )
& ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( ?? @ a
@ ^ [Y4: a] : ( Y3 @ Y4 ) )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 )
& ( ?? @ a
@ ^ [Y3: a] : ( Y2 @ Y3 ) ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( ?? @ a
@ ^ [Y2: a] : ( Y1 @ Y2 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( $true
= ( ~ ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( ?? @ a @ Y3 )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 )
& ( ?? @ a @ Y2 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f5]) ).
thf(f9,plain,
( $false
= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( ?? @ a @ Y3 )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 )
& ( ?? @ a @ Y2 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f8]) ).
thf(f10,plain,
( ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y3 @ Y1 ) )
=> ( Y0 @ Y3 @ Y2 ) ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 @ Y1 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] : ( Y0 @ Y1 @ Y1 ) ) )
=> ( ( !! @ a
@ ^ [Y1: a] :
( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y3: a > $o] :
( ( ( !! @ a
@ ^ [Y4: a] :
( ( Y3 @ Y4 )
=> ( !! @ a
@ ^ [Y5: a] :
( ( Y3 @ Y5 )
= ( Y0 @ Y4 @ Y5 ) ) ) ) )
& ( ?? @ a @ Y3 )
& ( Y3 @ Y1 ) )
=> ( Y2 = Y3 ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( Y0 @ Y3 @ Y4 ) ) ) ) )
& ( Y2 @ Y1 )
& ( ?? @ a @ Y2 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( ?? @ a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 @ Y3 )
= ( Y1 @ Y3 ) ) ) ) ) )
=> ( ?? @ a @ Y1 ) ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f9]) ).
thf(f12,plain,
( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK0 @ Y0 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK0 @ Y0 @ Y0 ) ) )
=> ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK0 @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK0 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( ?? @ a @ Y1 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f10]) ).
thf(f14,plain,
( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK0 @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK0 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( ?? @ a @ Y1 ) ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f12]) ).
thf(f15,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK0 @ Y0 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] : ( sK0 @ Y0 @ Y0 ) ) ) ),
inference(imp_proxy_clausification,[],[f12]) ).
thf(f16,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] : ( sK0 @ Y0 @ Y0 ) ) ),
inference(and_proxy_clausification,[],[f15]) ).
thf(f17,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK0 @ Y0 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y2 @ Y1 ) ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f15]) ).
thf(f18,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] : ( sK0 @ Y0 @ Y0 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f16]) ).
thf(f19,plain,
! [X1: a] :
( $true
= ( sK0 @ X1 @ X1 ) ),
inference(beta-eta_normalization,[],[f18]) ).
thf(f20,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK0 @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK0 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( ?? @ a @ Y1 ) ) ) ) )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) ) ),
inference(and_proxy_clausification,[],[f14]) ).
thf(f22,definition,
( spl1_1
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f24,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) ) ) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f22]) ).
thf(f26,definition,
( spl1_2
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK0 @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK0 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( ?? @ a @ Y1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f28,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK0 @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK0 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( ?? @ a @ Y1 ) ) ) ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f26]) ).
thf(f29,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f20,f26,f22]) ).
thf(f30,plain,
( ( $false
= ( ^ [Y0: a] :
( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( ( Y2 @ Y3 )
=> ( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ Y4 )
= ( sK0 @ Y3 @ Y4 ) ) ) ) )
& ( ?? @ a @ Y2 )
& ( Y2 @ Y0 ) )
=> ( Y1 = Y2 ) ) )
& ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK0 @ Y2 @ Y3 ) ) ) ) )
& ( Y1 @ Y0 )
& ( ?? @ a @ Y1 ) ) )
@ sK2 ) )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f28]) ).
thf(f31,plain,
( ( $false
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ sK2 ) )
=> ( Y0 = Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK2 )
& ( ?? @ a @ Y0 ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f30]) ).
thf(f32,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) ) ) ),
inference(and_proxy_clausification,[],[f17]) ).
thf(f33,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK0 @ Y0 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y2 @ Y1 ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f17]) ).
thf(f34,plain,
( ! [X1: a > $o] :
( $false
= ( ^ [Y0: a > $o] :
( ( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( ( !! @ a
@ ^ [Y2: a] :
( ( Y1 @ Y2 )
=> ( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y3 )
= ( sK0 @ Y2 @ Y3 ) ) ) ) )
& ( ?? @ a @ Y1 )
& ( Y1 @ sK2 ) )
=> ( Y0 = Y1 ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( Y0 @ sK2 )
& ( ?? @ a @ Y0 ) )
@ X1 ) )
| ~ spl1_2 ),
inference(pi_proxy_clausification,[],[f31]) ).
thf(f35,plain,
( ! [X1: a > $o] :
( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( X1 = Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( X1 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( X1 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) )
& ( X1 @ sK2 )
& ( ?? @ a @ X1 ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f36,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y1 @ Y0 )
=> ( sK0 @ Y0 @ Y1 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f32]) ).
thf(f37,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ Y0 @ X1 )
=> ( sK0 @ X1 @ Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f39,plain,
( ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) )
& $true
& ( ?? @ a @ ( sK0 @ sK2 ) ) ) )
| ~ spl1_2 ),
inference(superposition,[],[f35,f19]) ).
thf(f40,plain,
( ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ ( sK0 @ sK2 ) ) ) )
| ~ spl1_2 ),
inference(boolean_simplification,[],[f39]) ).
thf(f41,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK0 @ Y0 @ X1 )
=> ( sK0 @ X1 @ Y0 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f42,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK0 @ X2 @ X1 )
=> ( sK0 @ X1 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f41]) ).
thf(f48,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK0 @ Y0 @ Y1 )
& ( sK0 @ Y2 @ Y0 ) )
=> ( sK0 @ Y2 @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f33]) ).
thf(f49,plain,
! [X1: a] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK0 @ X1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y1 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f48]) ).
thf(f50,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ( sK0 @ X1 @ Y0 )
& ( sK0 @ Y1 @ X1 ) )
=> ( sK0 @ Y1 @ Y0 ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f49]) ).
thf(f51,plain,
! [X2: a,X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( ( sK0 @ X1 @ X2 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ Y0 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f50]) ).
thf(f52,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( ( sK0 @ X1 @ X2 )
& ( sK0 @ Y0 @ X1 ) )
=> ( sK0 @ Y0 @ X2 ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f51]) ).
thf(f53,plain,
! [X2: a,X3: a,X1: a] :
( $true
= ( ( ( sK0 @ X1 @ X2 )
& ( sK0 @ X3 @ X1 ) )
=> ( sK0 @ X3 @ X2 ) ) ),
inference(beta-eta_normalization,[],[f52]) ).
thf(f63,plain,
( ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) )
| ( $false
= ( ?? @ a @ ( sK0 @ sK2 ) ) )
| ~ spl1_2 ),
inference(and_proxy_clausification,[],[f40]) ).
thf(f65,definition,
( spl1_3
<=> ( $false
= ( ?? @ a @ ( sK0 @ sK2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
thf(f67,plain,
( ( $false
= ( ?? @ a @ ( sK0 @ sK2 ) ) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f65]) ).
thf(f69,definition,
( spl1_4
<=> ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
thf(f71,plain,
( ( $false
= ( ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f69]) ).
thf(f72,plain,
( spl1_3
| spl1_4
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f63,f26,f69,f65]) ).
thf(f73,plain,
( ! [X1: a] :
( $false
= ( sK0 @ sK2 @ X1 ) )
| ~ spl1_3 ),
inference(pi_proxy_clausification,[],[f67]) ).
thf(f79,plain,
( ( $false = $true )
| ~ spl1_3 ),
inference(superposition,[],[f19,f73]) ).
thf(f91,plain,
( $false
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f79]) ).
thf(f92,plain,
~ spl1_3,
inference(avatar_contradiction_clause,[],[f91]) ).
thf(f113,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
| ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) ) ) )
| ~ spl1_4 ),
inference(and_proxy_clausification,[],[f71]) ).
thf(f115,definition,
( spl1_5
<=> ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
thf(f117,plain,
( ( $false
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) ) ) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f119,definition,
( spl1_6
<=> ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
thf(f121,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f119]) ).
thf(f122,plain,
( spl1_5
| spl1_6
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f113,f69,f119,f115]) ).
thf(f135,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y2 )
= ( sK0 @ Y1 @ Y2 ) ) ) ) )
& ( ?? @ a @ Y0 )
& ( Y0 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= Y0 ) )
@ sK4 ) )
| ~ spl1_5 ),
inference(sigma_proxy_clausification,[],[f117]) ).
thf(f136,plain,
( ( $false
= ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ sK4 )
& ( sK4 @ sK2 ) )
=> ( ( sK0 @ sK2 )
= sK4 ) ) )
| ~ spl1_5 ),
inference(beta-eta_normalization,[],[f135]) ).
thf(f146,plain,
( ( $false
= ( ( sK0 @ sK2 )
= sK4 ) )
| ~ spl1_5 ),
inference(imp_proxy_clausification,[],[f136]) ).
thf(f147,plain,
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ sK4 )
& ( sK4 @ sK2 ) ) )
| ~ spl1_5 ),
inference(imp_proxy_clausification,[],[f136]) ).
thf(f148,plain,
( ( ( sK0 @ sK2 )
!= sK4 )
| ~ spl1_5 ),
inference(equality_proxy_clausification,[],[f146]) ).
thf(f174,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ sK2 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) )
@ sK6 ) )
| ~ spl1_6 ),
inference(sigma_proxy_clausification,[],[f121]) ).
thf(f175,plain,
( ( $false
= ( ( sK0 @ sK2 @ sK6 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
= ( sK0 @ sK6 @ Y0 ) ) ) ) )
| ~ spl1_6 ),
inference(beta-eta_normalization,[],[f174]) ).
thf(f185,plain,
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
= ( sK0 @ sK6 @ Y0 ) ) ) )
| ~ spl1_6 ),
inference(imp_proxy_clausification,[],[f175]) ).
thf(f186,plain,
( ( $true
= ( sK0 @ sK2 @ sK6 ) )
| ~ spl1_6 ),
inference(imp_proxy_clausification,[],[f175]) ).
thf(f189,plain,
( ! [X0: a] :
( $true
= ( ( $true
& ( sK0 @ X0 @ sK2 ) )
=> ( sK0 @ X0 @ sK6 ) ) )
| ~ spl1_6 ),
inference(superposition,[],[f53,f186]) ).
thf(f190,plain,
( ! [X0: a] :
( $true
= ( ( ( sK0 @ sK6 @ X0 )
& $true )
=> ( sK0 @ sK2 @ X0 ) ) )
| ~ spl1_6 ),
inference(superposition,[],[f53,f186]) ).
thf(f199,plain,
( ! [X0: a] :
( $true
= ( ( sK0 @ sK6 @ X0 )
=> ( sK0 @ sK2 @ X0 ) ) )
| ~ spl1_6 ),
inference(boolean_simplification,[],[f190]) ).
thf(f237,plain,
( ( $false
= ( ^ [Y0: a] :
( ( sK0 @ sK2 @ Y0 )
= ( sK0 @ sK6 @ Y0 ) )
@ sK7 ) )
| ~ spl1_6 ),
inference(sigma_proxy_clausification,[],[f185]) ).
thf(f238,plain,
( ( $false
= ( ( sK0 @ sK2 @ sK7 )
= ( sK0 @ sK6 @ sK7 ) ) )
| ~ spl1_6 ),
inference(beta-eta_normalization,[],[f237]) ).
thf(f239,plain,
( ( ( sK0 @ sK6 @ sK7 )
!= ( sK0 @ sK2 @ sK7 ) )
| ~ spl1_6 ),
inference(iff_proxy_clausification,[],[f238]) ).
thf(f252,plain,
( ( $true
= ( sK0 @ sK6 @ sK7 ) )
| ( $true
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl1_6 ),
inference(xor_proxy_clausification,[],[f239]) ).
thf(f253,plain,
( ( $false
= ( sK0 @ sK6 @ sK7 ) )
| ( $false
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl1_6 ),
inference(xor_proxy_clausification,[],[f239]) ).
thf(f255,definition,
( spl1_11
<=> ( $true
= ( sK0 @ sK6 @ sK7 ) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
thf(f257,plain,
( ( $true
= ( sK0 @ sK6 @ sK7 ) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f255]) ).
thf(f259,definition,
( spl1_12
<=> ( $true
= ( sK0 @ sK2 @ sK7 ) ) ),
introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).
thf(f261,plain,
( ( $true
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl1_12 ),
inference(avatar_component_clause,[],[f259]) ).
thf(f262,plain,
( spl1_11
| spl1_12
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f252,f119,f259,f255]) ).
thf(f264,definition,
( spl1_13
<=> ( $false
= ( sK0 @ sK6 @ sK7 ) ) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
thf(f266,plain,
( ( $false
= ( sK0 @ sK6 @ sK7 ) )
| ~ spl1_13 ),
inference(avatar_component_clause,[],[f264]) ).
thf(f268,definition,
( spl1_14
<=> ( $false
= ( sK0 @ sK2 @ sK7 ) ) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
thf(f270,plain,
( ( $false
= ( sK0 @ sK2 @ sK7 ) )
| ~ spl1_14 ),
inference(avatar_component_clause,[],[f268]) ).
thf(f271,plain,
( spl1_13
| spl1_14
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f253,f119,f268,f264]) ).
thf(f355,plain,
( ! [X0: a] :
( $true
= ( ( sK0 @ X0 @ sK2 )
=> ( sK0 @ X0 @ sK6 ) ) )
| ~ spl1_6 ),
inference(boolean_simplification,[],[f189]) ).
thf(f396,plain,
( ( $true
= ( $true
=> ( sK0 @ sK7 @ sK2 ) ) )
| ~ spl1_12 ),
inference(superposition,[],[f42,f261]) ).
thf(f401,plain,
( ( $true
= ( sK0 @ sK7 @ sK2 ) )
| ~ spl1_12 ),
inference(boolean_simplification,[],[f396]) ).
thf(f572,plain,
( ( $true
= ( $true
=> ( sK0 @ sK7 @ sK6 ) ) )
| ~ spl1_6
| ~ spl1_12 ),
inference(superposition,[],[f355,f401]) ).
thf(f576,plain,
( ( $true
= ( sK0 @ sK7 @ sK6 ) )
| ~ spl1_6
| ~ spl1_12 ),
inference(boolean_simplification,[],[f572]) ).
thf(f585,plain,
( ( $true
= ( $true
=> ( sK0 @ sK6 @ sK7 ) ) )
| ~ spl1_6
| ~ spl1_12 ),
inference(superposition,[],[f42,f576]) ).
thf(f588,plain,
( ( $true
= ( sK0 @ sK6 @ sK7 ) )
| ~ spl1_6
| ~ spl1_12 ),
inference(boolean_simplification,[],[f585]) ).
thf(f598,plain,
( spl1_11
| ~ spl1_6
| ~ spl1_12 ),
inference(avatar_split_clause,[],[f588,f259,f119,f255]) ).
thf(f612,plain,
( ( $false
= ( ^ [Y0: a > $o] :
( ( ( ?? @ a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( Y0 @ Y1 )
=> ( !! @ a
@ ^ [Y2: a] :
( ( sK0 @ Y1 @ Y2 )
= ( Y0 @ Y2 ) ) ) ) ) )
=> ( ?? @ a @ Y0 ) )
@ sK9 ) )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f24]) ).
thf(f613,plain,
( ( $false
= ( ( ( ?? @ a @ sK9 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ Y1 )
= ( sK9 @ Y1 ) ) ) ) ) )
=> ( ?? @ a @ sK9 ) ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f612]) ).
thf(f616,plain,
( ( $false
= ( ?? @ a @ sK9 ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f613]) ).
thf(f617,plain,
( ( $true
= ( ( ?? @ a @ sK9 )
& ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ Y1 )
= ( sK9 @ Y1 ) ) ) ) ) ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f613]) ).
thf(f618,plain,
( ( $true
= ( $false
& ( !! @ a
@ ^ [Y0: a] :
( ( sK9 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK0 @ Y0 @ Y1 )
= ( sK9 @ Y1 ) ) ) ) ) ) )
| ~ spl1_1 ),
inference(forward_demodulation,[],[f617,f616]) ).
thf(f619,plain,
( ( $false = $true )
| ~ spl1_1 ),
inference(boolean_simplification,[],[f618]) ).
thf(f620,plain,
( $false
| ~ spl1_1 ),
inference(trivial_inequality_removal,[],[f619]) ).
thf(f621,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f620]) ).
thf(f649,plain,
( ( ( sK4 @ sK10 )
!= ( sK0 @ sK2 @ sK10 ) )
| ~ spl1_5 ),
inference(negative_extensionality,[],[f148]) ).
thf(f875,plain,
( ( $true
= ( sK4 @ sK2 ) )
| ~ spl1_5 ),
inference(and_proxy_clausification,[],[f147]) ).
thf(f876,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) )
& ( ?? @ a @ sK4 ) )
= $true )
| ~ spl1_5 ),
inference(and_proxy_clausification,[],[f147]) ).
thf(f1027,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) ) ) )
| ~ spl1_5 ),
inference(and_proxy_clausification,[],[f876]) ).
thf(f2576,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
=> ( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ Y1 )
= ( sK0 @ Y0 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl1_5 ),
inference(pi_proxy_clausification,[],[f1027]) ).
thf(f2577,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ X1 )
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( sK0 @ X1 @ Y0 ) ) ) ) )
| ~ spl1_5 ),
inference(beta-eta_normalization,[],[f2576]) ).
thf(f2608,plain,
( ( $true
= ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( sK0 @ sK2 @ Y0 ) ) ) ) )
| ~ spl1_5 ),
inference(superposition,[],[f2577,f875]) ).
thf(f2614,plain,
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( sK0 @ sK2 @ Y0 ) ) ) )
| ~ spl1_5 ),
inference(boolean_simplification,[],[f2608]) ).
thf(f5831,plain,
( ! [X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ Y0 )
= ( sK0 @ sK2 @ Y0 ) )
@ X1 ) )
| ~ spl1_5 ),
inference(pi_proxy_clausification,[],[f2614]) ).
thf(f5832,plain,
( ! [X1: a] :
( $true
= ( ( sK4 @ X1 )
= ( sK0 @ sK2 @ X1 ) ) )
| ~ spl1_5 ),
inference(beta-eta_normalization,[],[f5831]) ).
thf(f5833,plain,
( ! [X1: a] :
( ( sK0 @ sK2 @ X1 )
= ( sK4 @ X1 ) )
| ~ spl1_5 ),
inference(iff_proxy_clausification,[],[f5832]) ).
thf(f5898,plain,
( ( ( sK4 @ sK10 )
!= ( sK4 @ sK10 ) )
| ~ spl1_5 ),
inference(superposition,[],[f649,f5833]) ).
thf(f5954,plain,
( $false
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f5898]) ).
thf(f5955,plain,
~ spl1_5,
inference(avatar_contradiction_clause,[],[f5954]) ).
thf(f6199,plain,
( ( $false = $true )
| ~ spl1_11
| ~ spl1_13 ),
inference(forward_demodulation,[],[f257,f266]) ).
thf(f6200,plain,
( $false
| ~ spl1_11
| ~ spl1_13 ),
inference(trivial_inequality_removal,[],[f6199]) ).
thf(f6201,plain,
( ~ spl1_11
| ~ spl1_13 ),
inference(avatar_contradiction_clause,[],[f6200]) ).
thf(f6383,plain,
( ( $true
= ( ( sK0 @ sK6 @ sK7 )
=> $false ) )
| ~ spl1_6
| ~ spl1_14 ),
inference(superposition,[],[f199,f270]) ).
thf(f6404,plain,
( ( ( ~ ( sK0 @ sK6 @ sK7 ) )
= $true )
| ~ spl1_6
| ~ spl1_14 ),
inference(boolean_simplification,[],[f6383]) ).
thf(f6414,plain,
( ( $true = ( ~ $true ) )
| ~ spl1_6
| ~ spl1_11
| ~ spl1_14 ),
inference(forward_demodulation,[],[f6404,f257]) ).
thf(f6415,plain,
( ( $false = $true )
| ~ spl1_6
| ~ spl1_11
| ~ spl1_14 ),
inference(boolean_simplification,[],[f6414]) ).
thf(f6416,plain,
( $false
| ~ spl1_6
| ~ spl1_11
| ~ spl1_14 ),
inference(trivial_inequality_removal,[],[f6415]) ).
thf(f6417,plain,
( ~ spl1_6
| ~ spl1_11
| ~ spl1_14 ),
inference(avatar_contradiction_clause,[],[f6416]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f29]) ).
cnf(s2,plain,
( ~ spl1_2
| spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f72]) ).
cnf(s4,plain,
~ spl1_3,
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
( ~ spl1_4
| spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f122]) ).
cnf(s8,plain,
( ~ spl1_6
| spl1_11
| spl1_12 ),
inference(sat_conversion,[],[f262]) ).
cnf(s9,plain,
( ~ spl1_6
| spl1_13
| spl1_14 ),
inference(sat_conversion,[],[f271]) ).
cnf(s16,plain,
( ~ spl1_6
| spl1_11
| ~ spl1_12 ),
inference(sat_conversion,[],[f598]) ).
cnf(s19,plain,
~ spl1_1,
inference(sat_conversion,[],[f621]) ).
cnf(s67,plain,
~ spl1_5,
inference(sat_conversion,[],[f5955]) ).
cnf(s79,plain,
( ~ spl1_11
| ~ spl1_13 ),
inference(sat_conversion,[],[f6201]) ).
cnf(s86,plain,
( ~ spl1_6
| ~ spl1_11
| ~ spl1_14 ),
inference(sat_conversion,[],[f6417]) ).
cnf(s88,plain,
( ~ spl1_4
| spl1_6 ),
inference(rat,[],[s5,s67]) ).
cnf(s89,plain,
( ~ spl1_2
| spl1_4 ),
inference(rat,[],[s2,s4]) ).
cnf(s90,plain,
spl1_2,
inference(rat,[],[s1,s19]) ).
cnf(s92,plain,
spl1_4,
inference(rat,[],[s89,s90]) ).
cnf(s93,plain,
spl1_6,
inference(rat,[],[s88,s92]) ).
cnf(s94,plain,
spl1_11,
inference(rat,[],[s8,s16,s93]) ).
cnf(s95,plain,
~ spl1_14,
inference(rat,[],[s86,s93,s94]) ).
cnf(s97,plain,
~ spl1_13,
inference(rat,[],[s79,s94]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s9,s93,s95,s97]) ).
thf(f6418,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV010^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.17 % Computer : n002.cluster.edu
% 0.12/0.17 % Model : x86_64 x86_64
% 0.12/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.17 % Memory : 8046.5625MB
% 0.12/0.17 % OS : Linux 6.8.0-71-generic
% 0.12/0.17 % CPULimit : 300
% 0.12/0.17 % WCLimit : 300
% 0.12/0.17 % DateTime : Tue Sep 29 15:02:32 UTC 2026
% 0.12/0.17 % CPUTime :
% 0.12/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.20 Running higher-order theorem proving
% 0.12/0.22 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
% 0.94/0.37 % (1405174)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.94/0.37 % (1405182)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=1510743615: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)
% 0.94/0.37 % (1405185)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.94/0.37 % (1405185)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
% 0.94/0.37 % (1405179)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1136519328:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.94/0.37 % (1405181)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2184831821:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.94/0.37 % (1405184)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3590120219:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.94/0.37 % (1405183)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3818932398:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.94/0.37 % (1405185)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=3932659947:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.94/0.37 % (1405181)Instruction limit reached!
% 0.94/0.37 % (1405181)------------------------------
% 0.94/0.37 % (1405181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.37 % (1405181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.37 % (1405181)CaDiCaL version: 2.1.3
% 0.94/0.37 % (1405181)Termination reason: Instruction limit
% 0.94/0.37 % (1405181)Termination phase: Saturation
% 0.94/0.37 % (1405181)Time elapsed: 0.003 s
% 0.94/0.37 % (1405181)Peak memory usage: 12 MB
% 0.94/0.37 % (1405181)Instructions burned: 4 (million)
% 0.94/0.37 % (1405180)lrs+10_16_si=on:nwc=1.5:random_seed=394631937:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.94/0.37 % (1405183)Instruction limit reached!
% 0.94/0.37 % (1405183)------------------------------
% 0.94/0.37 % (1405183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.37 % (1405183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.37 % (1405183)CaDiCaL version: 2.1.3
% 0.94/0.37 % (1405183)Termination reason: Instruction limit
% 0.94/0.37 % (1405183)Termination phase: Saturation
% 0.94/0.37 % (1405183)Time elapsed: 0.013 s
% 0.94/0.37 % (1405183)Peak memory usage: 12 MB
% 0.94/0.37 % (1405183)Instructions burned: 25 (million)
% 0.94/0.37 % (1405192)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2366227001:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.94/0.37 % (1405192)Instruction limit reached!
% 0.94/0.37 % (1405192)------------------------------
% 0.94/0.37 % (1405192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.37 % (1405192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.37 % (1405192)CaDiCaL version: 2.1.3
% 0.94/0.37 % (1405192)Termination reason: Instruction limit
% 0.94/0.37 % (1405192)Termination phase: Saturation
% 0.94/0.37 % (1405192)Time elapsed: 0.001 s
% 0.94/0.37 % (1405192)Peak memory usage: 11 MB
% 0.94/0.37 % (1405192)Instructions burned: 2 (million)
% 0.94/0.37 % (1405180)Instruction limit reached!
% 0.94/0.37 % (1405180)------------------------------
% 0.94/0.37 % (1405180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.37 % (1405180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.37 % (1405180)CaDiCaL version: 2.1.3
% 0.94/0.37 % (1405180)Termination reason: Instruction limit
% 0.94/0.37 % (1405180)Termination phase: Saturation
% 0.94/0.37 % (1405180)Time elapsed: 0.019 s
% 0.94/0.37 % (1405180)Peak memory usage: 12 MB
% 0.94/0.37 % (1405180)Instructions burned: 18 (million)
% 0.94/0.37 % (1405184)Instruction limit reached!
% 0.94/0.37 % (1405184)------------------------------
% 0.94/0.37 % (1405184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.41 % (1405184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.41 % (1405184)CaDiCaL version: 2.1.3
% 0.94/0.41 % (1405184)Termination reason: Instruction limit
% 0.94/0.41 % (1405184)Termination phase: Saturation
% 0.94/0.41 % (1405184)Time elapsed: 0.040 s
% 0.94/0.41 % (1405184)Peak memory usage: 12 MB
% 0.94/0.41 % (1405184)Instructions burned: 77 (million)
% 0.94/0.41 % (1405196)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.94/0.41 % (1405196)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1394909629:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.94/0.41 % (1405179)Instruction limit reached!
% 0.94/0.41 % (1405179)------------------------------
% 0.94/0.41 % (1405179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.41 % (1405197)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2924479003:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.94/0.41 % (1405179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.41 % (1405179)CaDiCaL version: 2.1.3
% 0.94/0.41 % (1405179)Termination reason: Instruction limit
% 0.94/0.41 % (1405179)Termination phase: Saturation
% 0.94/0.41 % (1405179)Time elapsed: 0.046 s
% 0.94/0.41 % (1405194)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2619424123:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.94/0.41 % (1405179)Peak memory usage: 12 MB
% 0.94/0.41 % (1405179)Instructions burned: 87 (million)
% 0.94/0.41 % (1405196)Instruction limit reached!
% 0.94/0.41 % (1405196)------------------------------
% 0.94/0.41 % (1405196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.41 % (1405196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.41 % (1405196)CaDiCaL version: 2.1.3
% 0.94/0.41 % (1405196)Termination reason: Instruction limit
% 0.94/0.41 % (1405196)Termination phase: Saturation
% 0.94/0.41 % (1405196)Time elapsed: 0.004 s
% 0.94/0.41 % (1405196)Peak memory usage: 12 MB
% 0.94/0.41 % (1405196)Instructions burned: 7 (million)
% 0.94/0.41 % (1405194)Instruction limit reached!
% 0.94/0.41 % (1405194)------------------------------
% 0.94/0.41 % (1405194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.41 % (1405194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.41 % (1405194)CaDiCaL version: 2.1.3
% 0.94/0.41 % (1405194)Termination reason: Instruction limit
% 0.94/0.41 % (1405194)Termination phase: Saturation
% 0.94/0.41 % (1405194)Time elapsed: 0.006 s
% 0.94/0.41 % (1405194)Peak memory usage: 12 MB
% 0.94/0.41 % (1405194)Instructions burned: 6 (million)
% 0.94/0.41 % (1405197)Instruction limit reached!
% 0.94/0.41 % (1405197)------------------------------
% 0.94/0.41 % (1405197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.41 % (1405197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.41 % (1405197)CaDiCaL version: 2.1.3
% 0.94/0.41 % (1405197)Termination reason: Instruction limit
% 0.94/0.41 % (1405197)Termination phase: Saturation
% 0.94/0.41 % (1405197)Time elapsed: 0.008 s
% 0.94/0.41 % (1405197)Peak memory usage: 12 MB
% 0.94/0.41 % (1405197)Instructions burned: 13 (million)
% 0.94/0.41 % (1405198)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
% 0.94/0.41 % (1405198)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.94/0.41 % (1405198)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1631229080:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.94/0.41 % (1405203)lrs+10_1_si=on:cs=on:random_seed=1091101184:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.94/0.41 % (1405204)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.94/0.41 % (1405204)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=806002879:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.94/0.44 % (1405202)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=84400000:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.94/0.44 % (1405203)Instruction limit reached!
% 0.94/0.44 % (1405203)------------------------------
% 0.94/0.44 % (1405203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.44 % (1405203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.44 % (1405203)CaDiCaL version: 2.1.3
% 0.94/0.44 % (1405203)Termination reason: Instruction limit
% 0.94/0.44 % (1405203)Termination phase: Saturation
% 0.94/0.44 % (1405203)Time elapsed: 0.005 s
% 0.94/0.44 % (1405203)Peak memory usage: 12 MB
% 0.94/0.44 % (1405203)Instructions burned: 10 (million)
% 0.94/0.44 % (1405204)Instruction limit reached!
% 0.94/0.44 % (1405204)------------------------------
% 0.94/0.44 % (1405204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.44 % (1405204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.44 % (1405204)CaDiCaL version: 2.1.3
% 0.94/0.44 % (1405204)Termination reason: Instruction limit
% 0.94/0.44 % (1405204)Termination phase: Saturation
% 0.94/0.44 % (1405204)Time elapsed: 0.003 s
% 0.94/0.44 % (1405204)Peak memory usage: 12 MB
% 0.94/0.44 % (1405204)Instructions burned: 6 (million)
% 0.94/0.44 % (1405185)Instruction limit reached!
% 0.94/0.44 % (1405185)------------------------------
% 0.94/0.44 % (1405185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.44 % (1405185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.44 % (1405185)CaDiCaL version: 2.1.3
% 0.94/0.44 % (1405185)Termination reason: Instruction limit
% 0.94/0.44 % (1405185)Termination phase: Saturation
% 0.94/0.44 % (1405185)Time elapsed: 0.078 s
% 0.94/0.44 % (1405185)Peak memory usage: 12 MB
% 0.94/0.44 % (1405185)Instructions burned: 157 (million)
% 0.94/0.44 % (1405205)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=115534726:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.94/0.44 % (1405198)Instruction limit reached!
% 0.94/0.44 % (1405198)------------------------------
% 0.94/0.44 % (1405198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.44 % (1405198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.44 % (1405198)CaDiCaL version: 2.1.3
% 0.94/0.44 % (1405198)Termination reason: Instruction limit
% 0.94/0.44 % (1405198)Termination phase: Saturation
% 0.94/0.44 % (1405198)Time elapsed: 0.014 s
% 0.94/0.44 % (1405198)Peak memory usage: 11 MB
% 0.94/0.44 % (1405198)Instructions burned: 29 (million)
% 0.94/0.44 % (1405210)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3621524184:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.94/0.44 % (1405214)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=106515781:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.94/0.44 % (1405205)Instruction limit reached!
% 0.94/0.44 % (1405205)------------------------------
% 0.94/0.44 % (1405205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.44 % (1405205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.44 % (1405205)CaDiCaL version: 2.1.3
% 0.94/0.44 % (1405205)Termination reason: Instruction limit
% 0.94/0.44 % (1405205)Termination phase: Saturation
% 0.94/0.44 % (1405205)Time elapsed: 0.025 s
% 0.94/0.44 % (1405205)Peak memory usage: 12 MB
% 0.94/0.44 % (1405205)Instructions burned: 46 (million)
% 0.94/0.44 % (1405213)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4108585399:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.94/0.44 % (1405212)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1836985567:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.94/0.44 % (1405213)Instruction limit reached!
% 0.94/0.44 % (1405213)------------------------------
% 0.94/0.44 % (1405213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.44 % (1405213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (1405213)CaDiCaL version: 2.1.3
% 1.67/0.49 % (1405213)Termination reason: Instruction limit
% 1.67/0.49 % (1405213)Termination phase: Saturation
% 1.67/0.49 % (1405213)Time elapsed: 0.008 s
% 1.67/0.49 % (1405213)Peak memory usage: 12 MB
% 1.67/0.49 % (1405213)Instructions burned: 14 (million)
% 1.67/0.49 % (1405217)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3260057195:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.67/0.49 % (1405202)Instruction limit reached!
% 1.67/0.49 % (1405202)------------------------------
% 1.67/0.49 % (1405202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (1405202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (1405202)CaDiCaL version: 2.1.3
% 1.67/0.49 % (1405202)Termination reason: Instruction limit
% 1.67/0.49 % (1405202)Termination phase: Saturation
% 1.67/0.49 % (1405202)Time elapsed: 0.054 s
% 1.67/0.49 % (1405202)Peak memory usage: 12 MB
% 1.67/0.49 % (1405202)Instructions burned: 86 (million)
% 1.67/0.49 % (1405217)Instruction limit reached!
% 1.67/0.49 % (1405217)------------------------------
% 1.67/0.49 % (1405217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (1405217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (1405217)CaDiCaL version: 2.1.3
% 1.67/0.49 % (1405217)Termination reason: Instruction limit
% 1.67/0.49 % (1405217)Termination phase: Saturation
% 1.67/0.49 % (1405217)Time elapsed: 0.008 s
% 1.67/0.49 % (1405217)Peak memory usage: 12 MB
% 1.67/0.49 % (1405217)Instructions burned: 15 (million)
% 1.67/0.49 % (1405220)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1642440956:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.67/0.49 % (1405220)Instruction limit reached!
% 1.67/0.49 % (1405220)------------------------------
% 1.67/0.49 % (1405220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (1405220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (1405220)CaDiCaL version: 2.1.3
% 1.67/0.49 % (1405220)Termination reason: Instruction limit
% 1.67/0.49 % (1405220)Termination phase: Saturation
% 1.67/0.49 % (1405220)Time elapsed: 0.002 s
% 1.67/0.49 % (1405220)Peak memory usage: 11 MB
% 1.67/0.49 % (1405220)Instructions burned: 3 (million)
% 1.67/0.49 % (1405212)Instruction limit reached!
% 1.67/0.49 % (1405212)------------------------------
% 1.67/0.49 % (1405212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (1405212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (1405212)CaDiCaL version: 2.1.3
% 1.67/0.49 % (1405212)Termination reason: Instruction limit
% 1.67/0.49 % (1405212)Termination phase: Saturation
% 1.67/0.49 % (1405212)Time elapsed: 0.024 s
% 1.67/0.49 % (1405212)Peak memory usage: 12 MB
% 1.67/0.49 % (1405212)Instructions burned: 25 (million)
% 1.67/0.49 % (1405222)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1057025782:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.67/0.49 % (1405223)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1275048848:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.67/0.49 % (1405226)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.67/0.49 % (1405226)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.67/0.49 % (1405225)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2184331984:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.67/0.49 % (1405182)Instruction limit reached!
% 1.67/0.49 % (1405182)------------------------------
% 1.67/0.49 % (1405182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.49 % (1405182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.49 % (1405182)CaDiCaL version: 2.1.3
% 1.67/0.49 % (1405182)Termination reason: Instruction limit
% 1.67/0.49 % (1405182)Termination phase: Saturation
% 1.67/0.49 % (1405182)Time elapsed: 0.166 s
% 1.67/0.49 % (1405182)Peak memory usage: 14 MB
% 1.67/0.49 % (1405182)Instructions burned: 634 (million)
% 1.67/0.53 % (1405226)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=1236518880:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.67/0.53 % (1405222)Instruction limit reached!
% 1.67/0.53 % (1405222)------------------------------
% 1.67/0.53 % (1405222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.53 % (1405222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.53 % (1405222)CaDiCaL version: 2.1.3
% 1.67/0.53 % (1405222)Termination reason: Instruction limit
% 1.67/0.53 % (1405222)Termination phase: Saturation
% 1.67/0.53 % (1405222)Time elapsed: 0.015 s
% 1.67/0.53 % (1405222)Peak memory usage: 12 MB
% 1.67/0.53 % (1405222)Instructions burned: 27 (million)
% 1.67/0.53 % (1405223)Instruction limit reached!
% 1.67/0.53 % (1405223)------------------------------
% 1.67/0.53 % (1405223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.53 % (1405223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.53 % (1405223)CaDiCaL version: 2.1.3
% 1.67/0.53 % (1405223)Termination reason: Instruction limit
% 1.67/0.53 % (1405223)Termination phase: Saturation
% 1.67/0.53 % (1405223)Time elapsed: 0.012 s
% 1.67/0.53 % (1405223)Peak memory usage: 11 MB
% 1.67/0.53 % (1405223)Instructions burned: 23 (million)
% 1.67/0.53 % (1405230)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.67/0.53 % (1405226)Instruction limit reached!
% 1.67/0.53 % (1405226)------------------------------
% 1.67/0.53 % (1405226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.53 % (1405226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.53 % (1405226)CaDiCaL version: 2.1.3
% 1.67/0.53 % (1405226)Termination reason: Instruction limit
% 1.67/0.53 % (1405226)Termination phase: Saturation
% 1.67/0.53 % (1405226)Time elapsed: 0.008 s
% 1.67/0.53 % (1405226)Peak memory usage: 12 MB
% 1.67/0.53 % (1405226)Instructions burned: 14 (million)
% 1.67/0.53 % (1405230)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=4171328815:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.67/0.53 % (1405230)Instruction limit reached!
% 1.67/0.53 % (1405230)------------------------------
% 1.67/0.53 % (1405230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.53 % (1405230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.53 % (1405230)CaDiCaL version: 2.1.3
% 1.67/0.53 % (1405230)Termination reason: Instruction limit
% 1.67/0.53 % (1405230)Termination phase: Saturation
% 1.67/0.53 % (1405230)Time elapsed: 0.003 s
% 1.67/0.53 % (1405230)Peak memory usage: 12 MB
% 1.67/0.53 % (1405230)Instructions burned: 9 (million)
% 1.67/0.53 % (1405232)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=1408167513:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.67/0.53 % (1405233)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=219326525:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.67/0.53 % (1405236)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2327795751:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.67/0.53 % (1405235)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1952257685:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.67/0.53 % (1405233)Instruction limit reached!
% 1.67/0.53 % (1405233)------------------------------
% 1.67/0.53 % (1405233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.67/0.53 % (1405233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.67/0.53 % (1405233)CaDiCaL version: 2.1.3
% 1.67/0.53 % (1405233)Termination reason: Instruction limit
% 1.67/0.53 % (1405233)Termination phase: Saturation
% 1.67/0.53 % (1405233)Time elapsed: 0.005 s
% 1.67/0.53 % (1405233)Peak memory usage: 12 MB
% 1.67/0.53 % (1405233)Instructions burned: 7 (million)
% 1.67/0.53 % (1405236)Instruction limit reached!
% 1.67/0.53 % (1405236)------------------------------
% 1.67/0.53 % (1405236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.62 % (1405236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.62 % (1405236)CaDiCaL version: 2.1.3
% 2.39/0.62 % (1405236)Termination reason: Instruction limit
% 2.39/0.62 % (1405236)Termination phase: Saturation
% 2.39/0.62 % (1405236)Time elapsed: 0.006 s
% 2.39/0.62 % (1405236)Peak memory usage: 12 MB
% 2.39/0.62 % (1405236)Instructions burned: 20 (million)
% 2.39/0.62 % (1405235)Instruction limit reached!
% 2.39/0.62 % (1405235)------------------------------
% 2.39/0.62 % (1405235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.62 % (1405235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.62 % (1405235)CaDiCaL version: 2.1.3
% 2.39/0.62 % (1405235)Termination reason: Instruction limit
% 2.39/0.62 % (1405235)Termination phase: Saturation
% 2.39/0.62 % (1405235)Time elapsed: 0.010 s
% 2.39/0.62 % (1405235)Peak memory usage: 11 MB
% 2.39/0.62 % (1405235)Instructions burned: 23 (million)
% 2.39/0.62 % (1405242)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3564568789:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.39/0.62 % (1405232)Instruction limit reached!
% 2.39/0.62 % (1405232)------------------------------
% 2.39/0.62 % (1405232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.62 % (1405232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.62 % (1405232)CaDiCaL version: 2.1.3
% 2.39/0.62 % (1405232)Termination reason: Instruction limit
% 2.39/0.62 % (1405232)Termination phase: Saturation
% 2.39/0.62 % (1405232)Time elapsed: 0.018 s
% 2.39/0.62 % (1405232)Peak memory usage: 12 MB
% 2.39/0.62 % (1405232)Instructions burned: 32 (million)
% 2.39/0.62 % (1405241)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3164905395:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.39/0.62 % (1405225)Instruction limit reached!
% 2.39/0.62 % (1405225)------------------------------
% 2.39/0.62 % (1405225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.62 % (1405225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.62 % (1405225)CaDiCaL version: 2.1.3
% 2.39/0.62 % (1405225)Termination reason: Instruction limit
% 2.39/0.62 % (1405225)Termination phase: Saturation
% 2.39/0.62 % (1405225)Time elapsed: 0.052 s
% 2.39/0.62 % (1405225)Peak memory usage: 12 MB
% 2.39/0.62 % (1405225)Instructions burned: 61 (million)
% 2.39/0.62 % (1405210)Instruction limit reached!
% 2.39/0.62 % (1405210)------------------------------
% 2.39/0.62 % (1405210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.62 % (1405210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.62 % (1405210)CaDiCaL version: 2.1.3
% 2.39/0.62 % (1405210)Termination reason: Instruction limit
% 2.39/0.62 % (1405210)Termination phase: Saturation
% 2.39/0.62 % (1405210)Time elapsed: 0.116 s
% 2.39/0.62 % (1405210)Peak memory usage: 13 MB
% 2.39/0.62 % (1405210)Instructions burned: 251 (million)
% 2.39/0.62 % (1405243)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1202686261:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.39/0.62 % (1405247)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.39/0.62 % (1405245)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1498684184:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.39/0.62 % (1405247)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1777780294:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.39/0.62 % (1405248)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=254726104:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.39/0.62 % (1405247)Instruction limit reached!
% 2.39/0.62 % (1405247)------------------------------
% 2.39/0.62 % (1405247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.39/0.62 % (1405247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/0.62 % (1405247)CaDiCaL version: 2.1.3
% 2.39/0.62 % (1405247)Termination reason: Instruction limit
% 2.39/0.62 % (1405247)Termination phase: Saturation
% 2.39/0.62 % (1405247)Time elapsed: 0.004 s
% 2.39/0.62 % (1405247)Peak memory usage: 12 MB
% 2.51/0.63 % (1405247)Instructions burned: 7 (million)
% 2.51/0.63 % (1405242)Instruction limit reached!
% 2.51/0.63 % (1405242)------------------------------
% 2.51/0.63 % (1405242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405242)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405242)Termination reason: Instruction limit
% 2.51/0.63 % (1405242)Termination phase: Saturation
% 2.51/0.63 % (1405242)Time elapsed: 0.037 s
% 2.51/0.63 % (1405242)Peak memory usage: 13 MB
% 2.51/0.63 % (1405242)Instructions burned: 145 (million)
% 2.51/0.63 % (1405245)Instruction limit reached!
% 2.51/0.63 % (1405245)------------------------------
% 2.51/0.63 % (1405245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405245)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405245)Termination reason: Instruction limit
% 2.51/0.63 % (1405245)Termination phase: Saturation
% 2.51/0.63 % (1405245)Time elapsed: 0.019 s
% 2.51/0.63 % (1405245)Peak memory usage: 12 MB
% 2.51/0.63 % (1405245)Instructions burned: 42 (million)
% 2.51/0.63 % (1405254)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.51/0.63 % (1405254)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3051719795:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.51/0.63 % (1405254)Instruction limit reached!
% 2.51/0.63 % (1405254)------------------------------
% 2.51/0.63 % (1405254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405254)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405254)Termination reason: Instruction limit
% 2.51/0.63 % (1405254)Termination phase: Saturation
% 2.51/0.63 % (1405254)Time elapsed: 0.002 s
% 2.51/0.63 % (1405254)Peak memory usage: 12 MB
% 2.51/0.63 % (1405254)Instructions burned: 7 (million)
% 2.51/0.63 % (1405253)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=1352848115:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.51/0.63 % (1405257)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1369107883:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.51/0.63 % (1405255)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1251641711:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.51/0.63 % (1405257)Instruction limit reached!
% 2.51/0.63 % (1405257)------------------------------
% 2.51/0.63 % (1405257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405257)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405257)Termination reason: Instruction limit
% 2.51/0.63 % (1405257)Termination phase: Saturation
% 2.51/0.63 % (1405257)Time elapsed: 0.006 s
% 2.51/0.63 % (1405257)Peak memory usage: 13 MB
% 2.51/0.63 % (1405257)Instructions burned: 20 (million)
% 2.51/0.63 % (1405214)Instruction limit reached!
% 2.51/0.63 % (1405214)------------------------------
% 2.51/0.63 % (1405214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405214)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405214)Termination reason: Instruction limit
% 2.51/0.63 % (1405214)Termination phase: Saturation
% 2.51/0.63 % (1405214)Time elapsed: 0.169 s
% 2.51/0.63 % (1405214)Peak memory usage: 13 MB
% 2.51/0.63 % (1405214)Instructions burned: 327 (million)
% 2.51/0.63 % (1405255)Instruction limit reached!
% 2.51/0.63 % (1405255)------------------------------
% 2.51/0.63 % (1405255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405261)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=4022653508:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.51/0.63 % (1405255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405255)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405255)Termination reason: Instruction limit
% 2.51/0.63 % (1405255)Termination phase: Saturation
% 2.51/0.63 % (1405255)Time elapsed: 0.011 s
% 2.51/0.63 % (1405255)Peak memory usage: 12 MB
% 2.51/0.63 % (1405255)Instructions burned: 24 (million)
% 2.51/0.63 % (1405262)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=1766013206:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.51/0.63 % (1405264)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=3954528699:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.51/0.63 % (1405248)Instruction limit reached!
% 2.51/0.63 % (1405248)------------------------------
% 2.51/0.63 % (1405248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405248)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405248)Termination reason: Instruction limit
% 2.51/0.63 % (1405248)Termination phase: Saturation
% 2.51/0.63 % (1405248)Time elapsed: 0.086 s
% 2.51/0.63 % (1405248)Peak memory usage: 12 MB
% 2.51/0.63 % (1405248)Instructions burned: 181 (million)
% 2.51/0.63 % (1405243)Instruction limit reached!
% 2.51/0.63 % (1405243)------------------------------
% 2.51/0.63 % (1405243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405243)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405243)Termination reason: Instruction limit
% 2.51/0.63 % (1405243)Termination phase: Saturation
% 2.51/0.63 % (1405243)Time elapsed: 0.096 s
% 2.51/0.63 % (1405243)Peak memory usage: 13 MB
% 2.51/0.63 % (1405243)Instructions burned: 193 (million)
% 2.51/0.63 % (1405267)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4000161635:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.51/0.63 % (1405268)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2586004533:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.51/0.63 % (1405268)Instruction limit reached!
% 2.51/0.63 % (1405268)------------------------------
% 2.51/0.63 % (1405268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405268)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405268)Termination reason: Instruction limit
% 2.51/0.63 % (1405268)Termination phase: Saturation
% 2.51/0.63 % (1405268)Time elapsed: 0.012 s
% 2.51/0.63 % (1405268)Peak memory usage: 12 MB
% 2.51/0.63 % (1405268)Instructions burned: 21 (million)
% 2.51/0.63 % (1405253)Instruction limit reached!
% 2.51/0.63 % (1405253)------------------------------
% 2.51/0.63 % (1405253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405253)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405253)Termination reason: Instruction limit
% 2.51/0.63 % (1405253)Termination phase: Saturation
% 2.51/0.63 % (1405253)Time elapsed: 0.100 s
% 2.51/0.63 % (1405253)Peak memory usage: 13 MB
% 2.51/0.63 % (1405253)Instructions burned: 171 (million)
% 2.51/0.63 % (1405264)Instruction limit reached!
% 2.51/0.63 % (1405264)------------------------------
% 2.51/0.63 % (1405264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405264)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405264)Termination reason: Instruction limit
% 2.51/0.63 % (1405264)Termination phase: Saturation
% 2.51/0.63 % (1405264)Time elapsed: 0.046 s
% 2.51/0.63 % (1405264)Peak memory usage: 12 MB
% 2.51/0.63 % (1405264)Instructions burned: 45 (million)
% 2.51/0.63 % (1405271)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.51/0.63 % (1405271)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1709652061:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.51/0.63 % (1405261) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1405174-1405261"...
% 2.51/0.63 % (1405261)...printing done.
% 2.51/0.63 % (1405261)Refutation found. Thanks to Tanya!
% 2.51/0.63 % SZS status Theorem for theBenchmark
% 2.51/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/0.63 % (1405261)------------------------------
% 2.51/0.63 % (1405261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.63 % (1405261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.63 % (1405261)CaDiCaL version: 2.1.3
% 2.51/0.63 % (1405261)Termination reason: Refutation
% 2.51/0.63 % (1405261)Time elapsed: 0.095 s
% 2.51/0.63 % (1405261)Peak memory usage: 16 MB
% 2.51/0.63 % (1405261)Instructions burned: 317 (million)
% 2.51/0.63 % (1405174)Success in time 0.406 s
% 2.51/0.63 % Vampire exiting
%------------------------------------------------------------------------------