%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO324^5 : 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 : n016.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 08:47:26 AM UTC 2026
% Result : Theorem 1.45s 0.47s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 2
% Syntax : Number of formulae : 66 ( 22 unt; 0 typ; 1 def)
% Number of atoms : 428 ( 121 equ; 0 cnn)
% Maximal formula atoms : 4 ( 6 avg)
% Number of connectives : 1228 ( 156 ~; 126 |; 62 &; 757 @)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 302 ( 302 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 21 usr; 5 con; 0-4 aty)
% ( 54 !!; 69 ??; 0 @@+; 0 @@-)
% Number of variables : 246 ( 0 sgn 75 !; 15 ?; 246 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,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,
vOR: $o > $o > $o ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_7,type,
vAND: $o > $o > $o ).
thf(func_def_8,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_12,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_13,type,
vIFF: $o > $o > $o ).
thf(func_def_16,type,
sK0: ( $i > $o ) > $i ).
thf(func_def_17,type,
sK1: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
sK2: $i > $o ).
thf(func_def_19,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_21,type,
sK4: ( $i > $o ) > $i > $o ).
thf(func_def_22,type,
sK5: ( $i > $o ) > $i > $i > $o ).
thf(f1,conjecture,
! [X0: ( $i > $o ) > $i] :
( ? [X2: $i > $o,X1: $i > $o] :
( ? [X4: $i] :
~ ( ( X1 @ X4 )
<=> ( X2 @ X4 ) )
& ! [X3: $i > $o] :
( ( X3 @ ( X0 @ X2 ) )
| ~ ( X3 @ ( X0 @ X1 ) ) ) )
| ! [X5: $i > $o] :
( ? [X2: $i > $o] :
( ( X2
@ ( X0
@ ^ [X6: $i] :
? [X7: $i > $o] :
( ! [X8: $i > $o] :
( ~ ( X8 @ X6 )
| ( X8 @ ( X0 @ X7 ) ) )
& ~ ( X7 @ ( X0 @ X7 ) ) ) ) )
& ~ ( X2 @ ( X0 @ X5 ) ) )
| ( X5 @ ( X0 @ X5 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM143_EXPANDB) ).
thf(f2,negated_conjecture,
~ ! [X0: ( $i > $o ) > $i] :
( ? [X2: $i > $o,X1: $i > $o] :
( ? [X4: $i] :
~ ( ( X1 @ X4 )
<=> ( X2 @ X4 ) )
& ! [X3: $i > $o] :
( ( X3 @ ( X0 @ X2 ) )
| ~ ( X3 @ ( X0 @ X1 ) ) ) )
| ! [X5: $i > $o] :
( ? [X2: $i > $o] :
( ( X2
@ ( X0
@ ^ [X6: $i] :
? [X7: $i > $o] :
( ! [X8: $i > $o] :
( ~ ( X8 @ X6 )
| ( X8 @ ( X0 @ X7 ) ) )
& ~ ( X7 @ ( X0 @ X7 ) ) ) ) )
& ~ ( X2 @ ( X0 @ X5 ) ) )
| ( X5 @ ( X0 @ X5 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ! [X0: ( $i > $o ) > $i] :
( ? [X1: $i > $o,X2: $i > $o] :
( ? [X3: $i] :
~ ( ( X2 @ X3 )
<=> ( X1 @ X3 ) )
& ! [X4: $i > $o] :
( ( X4 @ ( X0 @ X1 ) )
| ~ ( X4 @ ( X0 @ X2 ) ) ) )
| ! [X5: $i > $o] :
( ? [X6: $i > $o] :
( ( X6
@ ( X0
@ ^ [X7: $i] :
? [X8: $i > $o] :
( ! [X9: $i > $o] :
( ~ ( X9 @ X7 )
| ( X9 @ ( X0 @ X8 ) ) )
& ~ ( X8 @ ( X0 @ X8 ) ) ) ) )
& ~ ( X6 @ ( X0 @ X5 ) ) )
| ( X5 @ ( X0 @ X5 ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i )
@ ^ [Y0: ( $i > $o ) > $i] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( Y0 @ Y1 ) )
| ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( Y0 @ Y1 ) )
& ( Y2
@ ( Y0
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ~ ( Y4 @ ( Y0 @ Y4 ) )
& ( !! @ ( $i > $o )
@ ^ [Y5: $i > $o] :
( ( Y5 @ ( Y0 @ Y4 ) )
| ~ ( Y5 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ~ ( Y3 @ ( Y0 @ Y1 ) )
| ( Y3 @ ( Y0 @ Y2 ) ) ) )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
!= ( Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
( ( ~ ( !! @ ( ( $i > $o ) > $i )
@ ^ [Y0: ( $i > $o ) > $i] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( Y0 @ Y1 ) )
| ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( Y0 @ Y1 ) )
& ( Y2
@ ( Y0
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ~ ( Y4 @ ( Y0 @ Y4 ) )
& ( !! @ ( $i > $o )
@ ^ [Y5: $i > $o] :
( ( Y5 @ ( Y0 @ Y4 ) )
| ~ ( Y5 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ~ ( Y3 @ ( Y0 @ Y1 ) )
| ( Y3 @ ( Y0 @ Y2 ) ) ) )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
!= ( Y2 @ Y3 ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f4]) ).
thf(f8,plain,
( $false
= ( !! @ ( ( $i > $o ) > $i )
@ ^ [Y0: ( $i > $o ) > $i] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( Y0 @ Y1 ) )
| ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( Y0 @ Y1 ) )
& ( Y2
@ ( Y0
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ~ ( Y4 @ ( Y0 @ Y4 ) )
& ( !! @ ( $i > $o )
@ ^ [Y5: $i > $o] :
( ( Y5 @ ( Y0 @ Y4 ) )
| ~ ( Y5 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ~ ( Y3 @ ( Y0 @ Y1 ) )
| ( Y3 @ ( Y0 @ Y2 ) ) ) )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
!= ( Y2 @ Y3 ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f5]) ).
thf(f9,plain,
( $false
= ( ^ [Y0: ( $i > $o ) > $i] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( Y0 @ Y1 ) )
| ( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( Y0 @ Y1 ) )
& ( Y2
@ ( Y0
@ ^ [Y3: $i] :
( ?? @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ~ ( Y4 @ ( Y0 @ Y4 ) )
& ( !! @ ( $i > $o )
@ ^ [Y5: $i > $o] :
( ( Y5 @ ( Y0 @ Y4 ) )
| ~ ( Y5 @ Y3 ) ) ) ) ) ) ) ) ) ) )
| ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ~ ( Y3 @ ( Y0 @ Y1 ) )
| ( Y3 @ ( Y0 @ Y2 ) ) ) )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
!= ( Y2 @ Y3 ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f8]) ).
thf(f10,plain,
( $false
= ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( sK0 @ Y0 ) )
| ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y0 ) )
& ( Y1
@ ( sK0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ~ ( Y3 @ ( sK0 @ Y3 ) )
& ( !! @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ( Y4 @ ( sK0 @ Y3 ) )
| ~ ( Y4 @ Y2 ) ) ) ) ) ) ) ) ) ) )
| ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( sK0 @ Y0 ) )
| ( Y2 @ ( sK0 @ Y1 ) ) ) )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
!= ( Y1 @ Y2 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f9]) ).
thf(f11,plain,
( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( sK0 @ Y0 ) )
| ( Y2 @ ( sK0 @ Y1 ) ) ) )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
!= ( Y1 @ Y2 ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f10]) ).
thf(f12,plain,
( $false
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( sK0 @ Y0 ) )
| ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y0 ) )
& ( Y1
@ ( sK0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ~ ( Y3 @ ( sK0 @ Y3 ) )
& ( !! @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ( Y4 @ ( sK0 @ Y3 ) )
| ~ ( Y4 @ Y2 ) ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f10]) ).
thf(f13,plain,
! [X1: $i > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( sK0 @ Y0 ) )
| ( Y2 @ ( sK0 @ Y1 ) ) ) )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
!= ( Y1 @ Y2 ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f11]) ).
thf(f14,plain,
! [X1: $i > $o] :
( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ X1 ) )
| ( Y1 @ ( sK0 @ Y0 ) ) ) )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
!= ( Y0 @ Y1 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f13]) ).
thf(f26,plain,
! [X2: $i > $o,X1: $i > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ X1 ) )
| ( Y1 @ ( sK0 @ Y0 ) ) ) )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( X1 @ Y1 )
!= ( Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f14]) ).
thf(f28,plain,
! [X2: $i > $o,X1: $i > $o] :
( $false
= ( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ X1 ) )
| ( Y0 @ ( sK0 @ X2 ) ) ) )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f26]) ).
thf(f30,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $false
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ X1 ) )
| ( Y0 @ ( sK0 @ X2 ) ) ) ) )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) ) ) ) ),
inference(and_proxy_clausification,[],[f28]) ).
thf(f31,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ X1 ) )
| ( Y0 @ ( sK0 @ X2 ) ) )
@ ( sK1 @ X1 @ X2 ) ) )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) ) ) ) ),
inference(sigma_proxy_clausification,[],[f30]) ).
thf(f33,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $false
= ( ~ ( sK1 @ X1 @ X2 @ ( sK0 @ X1 ) )
| ( sK1 @ X1 @ X2 @ ( sK0 @ X2 ) ) ) )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f31]) ).
thf(f35,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) ) ) )
| ( $false
= ( sK1 @ X1 @ X2 @ ( sK0 @ X2 ) ) ) ),
inference(or_proxy_clausification,[],[f33]) ).
thf(f36,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) ) ) )
| ( $false
= ( ~ ( sK1 @ X1 @ X2 @ ( sK0 @ X1 ) ) ) ) ),
inference(or_proxy_clausification,[],[f33]) ).
thf(f37,plain,
! [X2: $i > $o,X1: $i > $o] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) ) ) )
| ( ( sK1 @ X1 @ X2 @ ( sK0 @ X1 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f36]) ).
thf(f38,plain,
( $false
= ( ^ [Y0: $i > $o] :
( ( Y0 @ ( sK0 @ Y0 ) )
| ( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y0 ) )
& ( Y1
@ ( sK0
@ ^ [Y2: $i] :
( ?? @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ~ ( Y3 @ ( sK0 @ Y3 ) )
& ( !! @ ( $i > $o )
@ ^ [Y4: $i > $o] :
( ( Y4 @ ( sK0 @ Y3 ) )
| ~ ( Y4 @ Y2 ) ) ) ) ) ) ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f12]) ).
thf(f41,plain,
( $false
= ( ( sK2 @ ( sK0 @ sK2 ) )
| ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ sK2 ) )
& ( Y0
@ ( sK0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( sK0 @ Y2 ) )
& ( !! @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ ( sK0 @ Y2 ) )
| ~ ( Y3 @ Y1 ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f42,plain,
( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ sK2 ) )
& ( Y0
@ ( sK0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( sK0 @ Y2 ) )
& ( !! @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ ( sK0 @ Y2 ) )
| ~ ( Y3 @ Y1 ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f41]) ).
thf(f43,plain,
( $false
= ( sK2 @ ( sK0 @ sK2 ) ) ),
inference(or_proxy_clausification,[],[f41]) ).
thf(f46,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( $false
= ( sK1 @ X1 @ X2 @ ( sK0 @ X2 ) ) )
| ( $false
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) )
@ X3 ) ) ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f49,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( $false
= ( ( X1 @ X3 )
!= ( X2 @ X3 ) ) )
| ( $false
= ( sK1 @ X1 @ X2 @ ( sK0 @ X2 ) ) ) ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f50,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( $false
= ( sK1 @ X1 @ X2 @ ( sK0 @ X2 ) ) )
| ( $true
= ( ( X1 @ X3 )
= ( X2 @ X3 ) ) ) ),
inference(not_proxy_clausification,[],[f49]) ).
thf(f53,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i] :
( ( X1 @ Y0 )
!= ( X2 @ Y0 ) )
@ X3 ) )
| ( ( sK1 @ X1 @ X2 @ ( sK0 @ X1 ) )
= $true ) ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f55,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( sK1 @ X1 @ X2 @ ( sK0 @ X1 ) )
= $true )
| ( $false
= ( ( X1 @ X3 )
!= ( X2 @ X3 ) ) ) ),
inference(beta-eta_normalization,[],[f53]) ).
thf(f57,plain,
! [X2: $i > $o,X3: $i,X1: $i > $o] :
( ( ( sK1 @ X1 @ X2 @ ( sK0 @ X1 ) )
= $true )
| ( $true
= ( ( X1 @ X3 )
= ( X2 @ X3 ) ) ) ),
inference(not_proxy_clausification,[],[f55]) ).
thf(f64,plain,
! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ sK2 ) )
& ( Y0
@ ( sK0
@ ^ [Y1: $i] :
( ?? @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ~ ( Y2 @ ( sK0 @ Y2 ) )
& ( !! @ ( $i > $o )
@ ^ [Y3: $i > $o] :
( ( Y3 @ ( sK0 @ Y2 ) )
| ~ ( Y3 @ Y1 ) ) ) ) ) ) ) )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f66,plain,
! [X1: $i > $o] :
( $false
= ( ~ ( X1 @ ( sK0 @ sK2 ) )
& ( X1
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f64]) ).
thf(f68,plain,
! [X1: $i > $o] :
( ( $false
= ( ~ ( X1 @ ( sK0 @ sK2 ) ) ) )
| ( $false
= ( X1
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) ) ) ) ) ),
inference(and_proxy_clausification,[],[f66]) ).
thf(f69,plain,
! [X1: $i > $o] :
( ( $false
= ( X1
@ ( sK0
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) ) ) ) )
| ( ( X1 @ ( sK0 @ sK2 ) )
= $true ) ),
inference(not_proxy_clausification,[],[f68]) ).
thf(f77,plain,
! [X0: $i > $o,X1: $i] :
( ( ( sK1
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) )
@ X0
@ ( sK0 @ sK2 ) )
= $true )
| ( $true
= ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) )
@ X1 )
= ( X0 @ X1 ) ) )
| ( $false = $true ) ),
inference(superposition,[],[f57,f69]) ).
thf(f78,plain,
! [X0: $i > $o,X1: $i] :
( ( $true
= ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) )
@ X1 )
= ( X0 @ X1 ) ) )
| ( ( sK1
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) )
@ X0
@ ( sK0 @ sK2 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f79,plain,
! [X0: $i > $o,X1: $i] :
( ( ( sK1
@ ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) )
@ X0
@ ( sK0 @ sK2 ) )
= $true )
| ( $true
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ X1 ) ) ) ) )
= ( X0 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f78]) ).
thf(f94,plain,
! [X0: $i,X1: $i] :
( ( ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) )
@ X1 )
= ( sK2 @ X1 ) )
= $true )
| ( $false = $true )
| ( $true
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ X0 ) ) ) ) )
= ( sK2 @ X0 ) ) ) ),
inference(superposition,[],[f79,f50]) ).
thf(f98,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ X0 ) ) ) ) )
= ( sK2 @ X0 ) ) )
| ( ( ( ^ [Y0: $i] :
( ?? @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ~ ( Y1 @ ( sK0 @ Y1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y2: $i > $o] :
( ( Y2 @ ( sK0 @ Y1 ) )
| ~ ( Y2 @ Y0 ) ) ) ) )
@ X1 )
= ( sK2 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f94]) ).
thf(f99,plain,
! [X0: $i,X1: $i] :
( ( ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ X1 ) ) ) ) )
= ( sK2 @ X1 ) )
= $true )
| ( $true
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ X0 ) ) ) ) )
= ( sK2 @ X0 ) ) ) ),
inference(beta-eta_normalization,[],[f98]) ).
thf(f101,definition,
( spl3_1
<=> ! [X0: $i] :
( $true
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ X0 ) ) ) ) )
= ( sK2 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
thf(f102,plain,
( ! [X0: $i] :
( $true
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ X0 ) ) ) ) )
= ( sK2 @ X0 ) ) )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f101]) ).
thf(f104,plain,
( spl3_1
| spl3_1 ),
inference(avatar_split_clause,[],[f99,f101,f101]) ).
thf(f105,plain,
( ( $true
= ( ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ ( sK0 @ sK2 ) ) ) ) ) )
= $false ) )
| ~ spl3_1 ),
inference(superposition,[],[f102,f43]) ).
thf(f111,plain,
( ( $true
= ( ~ ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ ( sK0 @ sK2 ) ) ) ) ) ) ) )
| ~ spl3_1 ),
inference(boolean_simplification,[],[f105]) ).
thf(f115,plain,
( ( $false
= ( ?? @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ ( sK0 @ sK2 ) ) ) ) ) ) )
| ~ spl3_1 ),
inference(not_proxy_clausification,[],[f111]) ).
thf(f117,plain,
( ! [X1: $i > $o] :
( $false
= ( ^ [Y0: $i > $o] :
( ~ ( Y0 @ ( sK0 @ Y0 ) )
& ( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( ( Y1 @ ( sK0 @ Y0 ) )
| ~ ( Y1 @ ( sK0 @ sK2 ) ) ) ) )
@ X1 ) )
| ~ spl3_1 ),
inference(pi_proxy_clausification,[],[f115]) ).
thf(f120,plain,
( ! [X1: $i > $o] :
( $false
= ( ~ ( X1 @ ( sK0 @ X1 ) )
& ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( sK0 @ X1 ) )
| ~ ( Y0 @ ( sK0 @ sK2 ) ) ) ) ) )
| ~ spl3_1 ),
inference(beta-eta_normalization,[],[f117]) ).
thf(f121,plain,
( ! [X1: $i > $o] :
( ( $false
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( sK0 @ X1 ) )
| ~ ( Y0 @ ( sK0 @ sK2 ) ) ) ) )
| ( $false
= ( ~ ( X1 @ ( sK0 @ X1 ) ) ) ) )
| ~ spl3_1 ),
inference(and_proxy_clausification,[],[f120]) ).
thf(f122,plain,
( ! [X1: $i > $o] :
( ( $false
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( Y0 @ ( sK0 @ X1 ) )
| ~ ( Y0 @ ( sK0 @ sK2 ) ) ) ) )
| ( ( X1 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl3_1 ),
inference(not_proxy_clausification,[],[f121]) ).
thf(f123,plain,
( ! [X1: $i > $o] :
( ( $false
= ( ^ [Y0: $i > $o] :
( ( Y0 @ ( sK0 @ X1 ) )
| ~ ( Y0 @ ( sK0 @ sK2 ) ) )
@ ( sK4 @ X1 ) ) )
| ( ( X1 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl3_1 ),
inference(sigma_proxy_clausification,[],[f122]) ).
thf(f125,plain,
( ! [X1: $i > $o] :
( ( ( X1 @ ( sK0 @ X1 ) )
= $true )
| ( $false
= ( ( sK4 @ X1 @ ( sK0 @ X1 ) )
| ~ ( sK4 @ X1 @ ( sK0 @ sK2 ) ) ) ) )
| ~ spl3_1 ),
inference(beta-eta_normalization,[],[f123]) ).
thf(f127,plain,
( ! [X1: $i > $o] :
( ( $false
= ( ~ ( sK4 @ X1 @ ( sK0 @ sK2 ) ) ) )
| ( ( X1 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl3_1 ),
inference(or_proxy_clausification,[],[f125]) ).
thf(f128,plain,
( ! [X1: $i > $o] :
( ( ( sK4 @ X1 @ ( sK0 @ X1 ) )
= $false )
| ( ( X1 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl3_1 ),
inference(or_proxy_clausification,[],[f125]) ).
thf(f129,plain,
( ! [X1: $i > $o] :
( ( ( sK4 @ X1 @ ( sK0 @ sK2 ) )
= $true )
| ( ( X1 @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl3_1 ),
inference(not_proxy_clausification,[],[f127]) ).
thf(f170,plain,
( ( ( sK2 @ ( sK0 @ sK2 ) )
= $true )
| ( $false = $true )
| ( ( sK2 @ ( sK0 @ sK2 ) )
= $true )
| ~ spl3_1 ),
inference(superposition,[],[f129,f128]) ).
thf(f174,plain,
( ( $false = $true )
| ( ( sK2 @ ( sK0 @ sK2 ) )
= $true )
| ~ spl3_1 ),
inference(duplicate_literal_removal,[],[f170]) ).
thf(f175,plain,
( ( ( sK2 @ ( sK0 @ sK2 ) )
= $true )
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f174]) ).
thf(f179,plain,
( ( $false = $true )
| ~ spl3_1 ),
inference(forward_demodulation,[],[f175,f43]) ).
thf(f180,plain,
( $false
| ~ spl3_1 ),
inference(trivial_inequality_removal,[],[f179]) ).
thf(f181,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f180]) ).
cnf(s3,plain,
( spl3_1
| spl3_1 ),
inference(sat_conversion,[],[f104]) ).
cnf(s4,plain,
spl3_1,
inference(rat,[],[s3]) ).
cnf(s10,plain,
~ spl3_1,
inference(sat_conversion,[],[f181]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s4,s10]) ).
thf(f182,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO324^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:50:20 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/0.37 % (602909)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.75/0.37 % (602935)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3054441581:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.75/0.37 % (602937)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.75/0.37 % (602937)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
% 0.75/0.37 % (602931)lrs+10_16_si=on:nwc=1.5:random_seed=2129234463:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.75/0.37 % (602930)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1755441996:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.75/0.37 % (602935)Instruction limit reached!
% 0.75/0.37 % (602935)------------------------------
% 0.75/0.37 % (602935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (602935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (602935)CaDiCaL version: 2.1.3
% 0.75/0.37 % (602935)Termination reason: Instruction limit
% 0.75/0.37 % (602935)Termination phase: Saturation
% 0.75/0.37 % (602935)Time elapsed: 0.007 s
% 0.75/0.37 % (602935)Peak memory usage: 12 MB
% 0.75/0.37 % (602934)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=2914445258: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)
% 0.75/0.37 % (602935)Instructions burned: 25 (million)
% 0.75/0.37 % (602933)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=76830056:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.75/0.37 % (602937)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=1169159490:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.75/0.37 % (602936)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=828270278:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.75/0.37 % (602933)Instruction limit reached!
% 0.75/0.37 % (602933)------------------------------
% 0.75/0.37 % (602933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (602933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (602933)CaDiCaL version: 2.1.3
% 0.75/0.37 % (602933)Termination reason: Instruction limit
% 0.75/0.37 % (602933)Termination phase: Saturation
% 0.75/0.37 % (602933)Time elapsed: 0.003 s
% 0.75/0.37 % (602933)Peak memory usage: 12 MB
% 0.75/0.37 % (602933)Instructions burned: 4 (million)
% 0.75/0.37 % (602931)Instruction limit reached!
% 0.75/0.37 % (602931)------------------------------
% 0.75/0.37 % (602931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (602931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (602931)CaDiCaL version: 2.1.3
% 0.75/0.37 % (602931)Termination reason: Instruction limit
% 0.75/0.37 % (602931)Termination phase: Saturation
% 0.75/0.37 % (602931)Time elapsed: 0.011 s
% 0.75/0.37 % (602931)Peak memory usage: 12 MB
% 0.75/0.37 % (602931)Instructions burned: 20 (million)
% 0.75/0.37 % (602950)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=366241789:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.75/0.37 % (602950)Instruction limit reached!
% 0.75/0.37 % (602950)------------------------------
% 0.75/0.37 % (602950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (602950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (602950)CaDiCaL version: 2.1.3
% 0.75/0.37 % (602950)Termination reason: Instruction limit
% 0.75/0.37 % (602950)Termination phase: Saturation
% 0.75/0.37 % (602950)Time elapsed: 0.002 s
% 0.75/0.37 % (602950)Peak memory usage: 12 MB
% 0.75/0.37 % (602950)Instructions burned: 5 (million)
% 0.75/0.37 % (602947)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2528881482:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.37 % (602947)Instruction limit reached!
% 0.75/0.41 % (602947)------------------------------
% 0.75/0.41 % (602947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (602947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (602947)CaDiCaL version: 2.1.3
% 0.75/0.41 % (602947)Termination reason: Instruction limit
% 0.75/0.41 % (602947)Termination phase: Saturation
% 0.75/0.41 % (602947)Time elapsed: 0.002 s
% 0.75/0.41 % (602947)Peak memory usage: 12 MB
% 0.75/0.41 % (602947)Instructions burned: 2 (million)
% 0.75/0.41 % (602954)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.41 % (602956)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3267498924:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.75/0.41 % (602954)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1457026860:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.75/0.41 % (602956)Instruction limit reached!
% 0.75/0.41 % (602956)------------------------------
% 0.75/0.41 % (602956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (602956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (602956)CaDiCaL version: 2.1.3
% 0.75/0.41 % (602956)Termination reason: Instruction limit
% 0.75/0.41 % (602956)Termination phase: Saturation
% 0.75/0.41 % (602956)Time elapsed: 0.004 s
% 0.75/0.41 % (602956)Peak memory usage: 12 MB
% 0.75/0.41 % (602956)Instructions burned: 13 (million)
% 0.75/0.41 % (602954)Instruction limit reached!
% 0.75/0.41 % (602954)------------------------------
% 0.75/0.41 % (602954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (602954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (602954)CaDiCaL version: 2.1.3
% 0.75/0.41 % (602954)Termination reason: Instruction limit
% 0.75/0.41 % (602954)Termination phase: Saturation
% 0.75/0.41 % (602954)Time elapsed: 0.004 s
% 0.75/0.41 % (602954)Peak memory usage: 12 MB
% 0.75/0.41 % (602954)Instructions burned: 7 (million)
% 0.75/0.41 % (602958)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
% 0.75/0.41 % (602958)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.75/0.41 % (602958)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1653225519:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.75/0.41 % (602961)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=2232133096:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.75/0.41 % (602930)Instruction limit reached!
% 0.75/0.41 % (602930)------------------------------
% 0.75/0.41 % (602930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (602930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (602930)CaDiCaL version: 2.1.3
% 0.75/0.41 % (602930)Termination reason: Instruction limit
% 0.75/0.41 % (602930)Termination phase: Saturation
% 0.75/0.41 % (602930)Time elapsed: 0.043 s
% 0.75/0.41 % (602930)Peak memory usage: 12 MB
% 0.75/0.41 % (602930)Instructions burned: 87 (million)
% 0.75/0.41 % (602936)Instruction limit reached!
% 0.75/0.41 % (602936)------------------------------
% 0.75/0.41 % (602936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.41 % (602936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.41 % (602936)CaDiCaL version: 2.1.3
% 0.75/0.41 % (602936)Termination reason: Instruction limit
% 0.75/0.41 % (602936)Termination phase: Saturation
% 0.75/0.41 % (602936)Time elapsed: 0.048 s
% 0.75/0.41 % (602936)Peak memory usage: 12 MB
% 0.75/0.41 % (602936)Instructions burned: 75 (million)
% 0.75/0.41 % (602962)lrs+10_1_si=on:cs=on:random_seed=1900506890:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.75/0.41 % (602958)Instruction limit reached!
% 0.75/0.41 % (602958)------------------------------
% 0.75/0.41 % (602958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (602958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (602958)CaDiCaL version: 2.1.3
% 0.75/0.44 % (602958)Termination reason: Instruction limit
% 0.75/0.44 % (602958)Termination phase: Saturation
% 0.75/0.44 % (602958)Time elapsed: 0.016 s
% 0.75/0.44 % (602958)Peak memory usage: 12 MB
% 0.75/0.44 % (602958)Instructions burned: 32 (million)
% 0.75/0.44 % (602962)Instruction limit reached!
% 0.75/0.44 % (602962)------------------------------
% 0.75/0.44 % (602962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (602962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (602962)CaDiCaL version: 2.1.3
% 0.75/0.44 % (602962)Termination reason: Instruction limit
% 0.75/0.44 % (602962)Termination phase: Saturation
% 0.75/0.44 % (602962)Time elapsed: 0.005 s
% 0.75/0.44 % (602962)Peak memory usage: 12 MB
% 0.75/0.44 % (602962)Instructions burned: 9 (million)
% 0.75/0.44 % (602965)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.75/0.44 % (602961)Instruction limit reached!
% 0.75/0.44 % (602961)------------------------------
% 0.75/0.44 % (602961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (602961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (602961)CaDiCaL version: 2.1.3
% 0.75/0.44 % (602961)Termination reason: Instruction limit
% 0.75/0.44 % (602961)Termination phase: Saturation
% 0.75/0.44 % (602961)Time elapsed: 0.022 s
% 0.75/0.44 % (602961)Peak memory usage: 12 MB
% 0.75/0.44 % (602961)Instructions burned: 87 (million)
% 0.75/0.44 % (602965)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=860754543:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.75/0.44 % (602965)Instruction limit reached!
% 0.75/0.44 % (602965)------------------------------
% 0.75/0.44 % (602965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (602965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (602965)CaDiCaL version: 2.1.3
% 0.75/0.44 % (602965)Termination reason: Instruction limit
% 0.75/0.44 % (602965)Termination phase: Saturation
% 0.75/0.44 % (602965)Time elapsed: 0.002 s
% 0.75/0.44 % (602965)Peak memory usage: 12 MB
% 0.75/0.44 % (602965)Instructions burned: 3 (million)
% 0.75/0.44 % (602966)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1293265334:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.75/0.44 % (602966)Refutation not found, incomplete strategy
% 0.75/0.44 % (602966)------------------------------
% 0.75/0.44 % (602966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (602966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (602966)CaDiCaL version: 2.1.3
% 0.75/0.44 % (602966)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.44 % (602966)Time elapsed: 0.003 s
% 0.75/0.44 % (602966)Peak memory usage: 12 MB
% 0.75/0.44 % (602966)Instructions burned: 3 (million)
% 0.75/0.44 % (602970)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=63217846:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.75/0.44 % (602966)------------------------------
% 0.75/0.44 % (602966)------------------------------
% 0.75/0.44 % (602968)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2311121419:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.75/0.44 % (602969)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1225067267:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.75/0.44 % (602970)Instruction limit reached!
% 0.75/0.44 % (602970)------------------------------
% 0.75/0.44 % (602970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.44 % (602970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.44 % (602970)CaDiCaL version: 2.1.3
% 0.75/0.44 % (602970)Termination reason: Instruction limit
% 0.75/0.44 % (602970)Termination phase: Saturation
% 0.75/0.44 % (602970)Time elapsed: 0.005 s
% 0.75/0.44 % (602970)Peak memory usage: 12 MB
% 0.75/0.44 % (602970)Instructions burned: 17 (million)
% 1.45/0.47 % (602937)Instruction limit reached!
% 1.45/0.47 % (602937)------------------------------
% 1.45/0.47 % (602937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602937)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602937)Termination reason: Instruction limit
% 1.45/0.47 % (602937)Termination phase: Saturation
% 1.45/0.47 % (602937)Time elapsed: 0.084 s
% 1.45/0.47 % (602937)Peak memory usage: 12 MB
% 1.45/0.47 % (602937)Instructions burned: 157 (million)
% 1.45/0.47 % (602973)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2935930049:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.45/0.47 % (602978)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1703892708: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)
% 1.45/0.47 % (602978)Instruction limit reached!
% 1.45/0.47 % (602978)------------------------------
% 1.45/0.47 % (602978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602978)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602978)Termination reason: Instruction limit
% 1.45/0.47 % (602978)Termination phase: Saturation
% 1.45/0.47 % (602978)Time elapsed: 0.001 s
% 1.45/0.47 % (602978)Peak memory usage: 12 MB
% 1.45/0.47 % (602978)Instructions burned: 2 (million)
% 1.45/0.47 % (602969)Instruction limit reached!
% 1.45/0.47 % (602969)------------------------------
% 1.45/0.47 % (602969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602969)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602969)Termination reason: Instruction limit
% 1.45/0.47 % (602969)Termination phase: Saturation
% 1.45/0.47 % (602969)Time elapsed: 0.015 s
% 1.45/0.47 % (602969)Peak memory usage: 12 MB
% 1.45/0.47 % (602969)Instructions burned: 25 (million)
% 1.45/0.47 % (602976)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1397061289:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.45/0.47 % (602976)Instruction limit reached!
% 1.45/0.47 % (602976)------------------------------
% 1.45/0.47 % (602976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602976)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602976)Termination reason: Instruction limit
% 1.45/0.47 % (602976)Termination phase: Saturation
% 1.45/0.47 % (602976)Time elapsed: 0.008 s
% 1.45/0.47 % (602976)Peak memory usage: 12 MB
% 1.45/0.47 % (602976)Instructions burned: 14 (million)
% 1.45/0.47 % (602982)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2938145315:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.47 % (602979)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3038574374:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.45/0.47 % (602982)Instruction limit reached!
% 1.45/0.47 % (602982)------------------------------
% 1.45/0.47 % (602982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602982)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602982)Termination reason: Instruction limit
% 1.45/0.47 % (602982)Termination phase: Saturation
% 1.45/0.47 % (602982)Time elapsed: 0.007 s
% 1.45/0.47 % (602982)Peak memory usage: 11 MB
% 1.45/0.47 % (602982)Instructions burned: 25 (million)
% 1.45/0.47 % (602983)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4053127675:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.45/0.47 % (602986)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
% 1.45/0.47 % (602986)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.45/0.47 % (602988)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.45/0.47 % (602979)Instruction limit reached!
% 1.45/0.47 % (602979)------------------------------
% 1.45/0.47 % (602979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602979)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602979)Termination reason: Instruction limit
% 1.45/0.47 % (602979)Termination phase: Saturation
% 1.45/0.47 % (602979)Time elapsed: 0.014 s
% 1.45/0.47 % (602979)Peak memory usage: 11 MB
% 1.45/0.47 % (602979)Instructions burned: 27 (million)
% 1.45/0.47 % (602988)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=649856635:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.45/0.47 % (602986)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=1457760216:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.45/0.47 % (602988)Instruction limit reached!
% 1.45/0.47 % (602988)------------------------------
% 1.45/0.47 % (602988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602988)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602988)Termination reason: Instruction limit
% 1.45/0.47 % (602988)Termination phase: Saturation
% 1.45/0.47 % (602988)Time elapsed: 0.003 s
% 1.45/0.47 % (602988)Peak memory usage: 12 MB
% 1.45/0.47 % (602988)Instructions burned: 10 (million)
% 1.45/0.47 % (602986)Instruction limit reached!
% 1.45/0.47 % (602986)------------------------------
% 1.45/0.47 % (602986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602986)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602986)Termination reason: Instruction limit
% 1.45/0.47 % (602986)Termination phase: Saturation
% 1.45/0.47 % (602986)Time elapsed: 0.008 s
% 1.45/0.47 % (602986)Peak memory usage: 12 MB
% 1.45/0.47 % (602986)Instructions burned: 14 (million)
% 1.45/0.47 % (602993)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=97212765:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.47 % (602990)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=1429565383:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.45/0.47 % (602993)Instruction limit reached!
% 1.45/0.47 % (602993)------------------------------
% 1.45/0.47 % (602993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602993)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602993)Termination reason: Instruction limit
% 1.45/0.47 % (602993)Termination phase: Saturation
% 1.45/0.47 % (602993)Time elapsed: 0.003 s
% 1.45/0.47 % (602993)Peak memory usage: 12 MB
% 1.45/0.47 % (602993)Instructions burned: 10 (million)
% 1.45/0.47 % (602983)Instruction limit reached!
% 1.45/0.47 % (602983)------------------------------
% 1.45/0.47 % (602983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602983)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602983)Termination reason: Instruction limit
% 1.45/0.47 % (602983)Termination phase: Saturation
% 1.45/0.47 % (602983)Time elapsed: 0.034 s
% 1.45/0.47 % (602983)Peak memory usage: 12 MB
% 1.45/0.47 % (602983)Instructions burned: 62 (million)
% 1.45/0.47 % (602997)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3186457523:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.45/0.47 % (602994)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=585434968:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.47 % (602990)Instruction limit reached!
% 1.45/0.47 % (602990)------------------------------
% 1.45/0.47 % (602990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602990)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602990)Termination reason: Instruction limit
% 1.45/0.47 % (602990)Termination phase: Saturation
% 1.45/0.47 % (602990)Time elapsed: 0.016 s
% 1.45/0.47 % (602990)Peak memory usage: 12 MB
% 1.45/0.47 % (602990)Instructions burned: 32 (million)
% 1.45/0.47 % (602997)Instruction limit reached!
% 1.45/0.47 % (602997)------------------------------
% 1.45/0.47 % (602997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602997)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602997)Termination reason: Instruction limit
% 1.45/0.47 % (602997)Termination phase: Saturation
% 1.45/0.47 % (602997)Time elapsed: 0.006 s
% 1.45/0.47 % (602997)Peak memory usage: 12 MB
% 1.45/0.47 % (602997)Instructions burned: 22 (million)
% 1.45/0.47 % (602994)Instruction limit reached!
% 1.45/0.47 % (602994)------------------------------
% 1.45/0.47 % (602994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.47 % (602994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.47 % (602994)CaDiCaL version: 2.1.3
% 1.45/0.47 % (602994)Termination reason: Instruction limit
% 1.45/0.47 % (602994)Termination phase: Saturation
% 1.45/0.47 % (602994)Time elapsed: 0.010 s
% 1.45/0.47 % (602994)Peak memory usage: 11 MB
% 1.45/0.47 % (602994)Instructions burned: 25 (million)
% 1.45/0.47 % (602998)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4049403963:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.45/0.47 % (603002)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3656564420:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.45/0.47 % (603001)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1897669858:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.45/0.47 % (602998) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-602909-602998"...
% 1.45/0.47 % (603003)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4269224441:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.45/0.47 % (602998)...printing done.
% 1.45/0.47 % (602998)Refutation found. Thanks to Tanya!
% 1.45/0.47 % SZS status Theorem for theBenchmark
% 1.45/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.48 % (602998)------------------------------
% 1.45/0.48 % (602998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.48 % (602998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.48 % (602998)CaDiCaL version: 2.1.3
% 1.45/0.48 % (602998)Termination reason: Refutation
% 1.45/0.48 % (602998)Time elapsed: 0.015 s
% 1.45/0.48 % (602998)Peak memory usage: 13 MB
% 1.45/0.48 % (602998)Instructions burned: 26 (million)
% 1.45/0.48 % (602909)Success in time 0.223 s
% 1.45/0.48 % Vampire exiting
%------------------------------------------------------------------------------