%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET752^4 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:23:28 AM UTC 2026
% Result : Theorem 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 12
% Syntax : Number of formulae : 145 ( 27 unt; 0 typ; 9 def)
% Number of atoms : 1162 ( 314 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 968 ( 101 ~; 272 |; 71 &; 480 @)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 55 ( 51 usr; 16 con; 0-4 aty)
% ( 0 !!; 35 ??; 0 @@+; 0 @@-)
% Number of variables : 142 ( 0 sgn 43 !; 5 ?; 142 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > ( $i > $o ) > $o ).
thf(func_def_2,type,
is_a: $i > ( $i > $o ) > $o ).
thf(func_def_3,type,
emptyset: $i > $o ).
thf(func_def_4,type,
unord_pair: $i > $i > $i > $o ).
thf(func_def_5,type,
singleton: $i > $i > $o ).
thf(func_def_6,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_7,type,
excl_union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_8,type,
intersection: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_9,type,
setminus: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
complement: ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
disjoint: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_12,type,
subset: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_13,type,
meets: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_14,type,
misses: ( $i > $o ) > ( $i > $o ) > $o ).
thf(func_def_15,type,
fun_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(func_def_16,type,
fun_composition: ( $i > $i ) > ( $i > $i ) > $i > $i ).
thf(func_def_17,type,
fun_inv_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(func_def_18,type,
fun_injective: ( $i > $i ) > $o ).
thf(func_def_19,type,
fun_surjective: ( $i > $i ) > $o ).
thf(func_def_20,type,
fun_bijective: ( $i > $i ) > $o ).
thf(func_def_21,type,
fun_decreasing: ( $i > $i ) > ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
fun_increasing: ( $i > $i ) > ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_24,type,
vIMP: $o > $o > $o ).
thf(func_def_25,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_29,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_30,type,
vNOT: $o > $o ).
thf(func_def_31,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_32,type,
vAND: $o > $o > $o ).
thf(func_def_33,type,
vOR: $o > $o > $o ).
thf(func_def_34,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_37,type,
sK0: $i > $o ).
thf(func_def_38,type,
sK1: $i > $o ).
thf(func_def_39,type,
sK2: $i > $i ).
thf(f6,axiom,
( union
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET008^0.ax',union) ).
thf(f15,axiom,
( ( ^ [X0: $i > $i,X1: $i > $o,X2: $i] :
? [X3: $i] :
( ( X2
= ( X0 @ X3 ) )
& ( X1 @ X3 ) ) )
= fun_image ),
file('/export/starexec/sandbox/benchmark/Axioms/SET008^1.ax',fun_image) ).
thf(f23,conjecture,
! [X1: $i > $o,X0: $i > $o,X2: $i > $i] :
( ( fun_image @ X2 @ ( union @ X0 @ X1 ) )
= ( union @ ( fun_image @ X2 @ X0 ) @ ( fun_image @ X2 @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
thf(f24,negated_conjecture,
~ ! [X1: $i > $o,X0: $i > $o,X2: $i > $i] :
( ( fun_image @ X2 @ ( union @ X0 @ X1 ) )
= ( union @ ( fun_image @ X2 @ X0 ) @ ( fun_image @ X2 @ X1 ) ) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
thf(f31,plain,
( union
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X0 @ X2 )
| ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f6]) ).
thf(f32,plain,
( union
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f31]) ).
thf(f39,plain,
( ( ^ [X0: $i > $i,X1: $i > $o,X2: $i] :
? [X3: $i] :
( ( X2
= ( X0 @ X3 ) )
& ( X1 @ X3 ) ) )
= fun_image ),
inference(rectify,[],[f15]) ).
thf(f40,plain,
( fun_image
= ( ^ [Y0: $i > $i,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 )
= Y2 ) ) ) ) ),
inference(fool_elimination,[],[f39]) ).
thf(f61,plain,
~ ! [X1: $i > $o,X0: $i > $o,X2: $i > $i] :
( ( union @ ( fun_image @ X2 @ X1 ) @ ( fun_image @ X2 @ X0 ) )
= ( fun_image @ X2 @ ( union @ X1 @ X0 ) ) ),
inference(rectify,[],[f24]) ).
thf(f62,plain,
? [X0: $i > $o,X1: $i > $o,X2: $i > $i] :
( ( union @ ( fun_image @ X2 @ X1 ) @ ( fun_image @ X2 @ X0 ) )
!= ( fun_image @ X2 @ ( union @ X1 @ X0 ) ) ),
inference(ennf_transformation,[],[f61]) ).
thf(f63,plain,
( ( fun_image @ sK2 @ ( union @ sK1 @ sK0 ) )
!= ( union @ ( fun_image @ sK2 @ sK1 ) @ ( fun_image @ sK2 @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f62]) ).
thf(f65,plain,
( union
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f32]) ).
thf(f70,plain,
( fun_image
= ( ^ [Y0: $i > $i,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 )
= Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f40]) ).
thf(f73,plain,
( ( fun_image @ sK2 @ ( union @ sK1 @ sK0 ) )
!= ( union @ ( fun_image @ sK2 @ sK1 ) @ ( fun_image @ sK2 @ sK0 ) ) ),
inference(cnf_transformation,[],[f63]) ).
thf(f91,plain,
( ( ^ [Y0: $i > $i,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 )
= Y2 ) ) )
@ sK2
@ ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ sK1
@ sK0 ) )
!= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ ( ^ [Y0: $i > $i,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 )
= Y2 ) ) )
@ sK2
@ sK1 )
@ ( ^ [Y0: $i > $i,Y1: $i > $o,Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 )
& ( ( Y0 @ Y3 )
= Y2 ) ) )
@ sK2
@ sK0 ) ) ),
inference(definition_unfolding,[],[f73,f70,f65,f65,f70,f70]) ).
thf(f92,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
| ( sK1 @ Y1 ) )
& ( ( sK2 @ Y1 )
= Y0 ) ) ) )
!= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
& ( ( sK2 @ Y1 )
= Y0 ) ) )
| ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( ( sK2 @ Y1 )
= Y0 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f91]) ).
thf(f93,plain,
( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
& ( ( sK2 @ Y1 )
= Y0 ) ) )
| ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( ( sK2 @ Y1 )
= Y0 ) ) ) )
@ sK3 )
!= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
| ( sK1 @ Y1 ) )
& ( ( sK2 @ Y1 )
= Y0 ) ) )
@ sK3 ) ),
inference(negative_extensionality,[],[f92]) ).
thf(f94,plain,
( ( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
| ( sK1 @ Y1 ) )
& ( ( sK2 @ Y1 )
= Y0 ) ) )
@ sK3 )
= $true )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
& ( ( sK2 @ Y1 )
= Y0 ) ) )
| ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( ( sK2 @ Y1 )
= Y0 ) ) ) )
@ sK3 )
= $true ) ),
inference(xor_proxy_clausification,[],[f93]) ).
thf(f95,plain,
( ( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
| ( sK1 @ Y1 ) )
& ( ( sK2 @ Y1 )
= Y0 ) ) )
@ sK3 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
& ( ( sK2 @ Y1 )
= Y0 ) ) )
| ( ?? @ $i
@ ^ [Y1: $i] :
( ( sK1 @ Y1 )
& ( ( sK2 @ Y1 )
= Y0 ) ) ) )
@ sK3 ) ) ),
inference(xor_proxy_clausification,[],[f93]) ).
thf(f96,plain,
( ( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
| ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) ) ) )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) ) ) ) ),
inference(beta-eta_normalization,[],[f95]) ).
thf(f97,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
= $false )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) ) ) ) ),
inference(or_proxy_clausification,[],[f96]) ).
thf(f98,plain,
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) ) )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) ) ) ) ),
inference(or_proxy_clausification,[],[f96]) ).
thf(f99,plain,
! [X1: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) ) ) )
| ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f98]) ).
thf(f100,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ X2 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ X1 ) ) ),
inference(pi_proxy_clausification,[],[f99]) ).
thf(f101,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( ( sK0 @ X2 )
| ( sK1 @ X2 ) )
& ( ( sK2 @ X2 )
= sK3 ) ) )
| ( $false
= ( ( sK0 @ X1 )
& ( ( sK2 @ X1 )
= sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f100]) ).
thf(f102,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK2 @ X2 )
= sK3 ) )
| ( $false
= ( ( sK0 @ X2 )
| ( sK1 @ X2 ) ) )
| ( $false
= ( ( sK0 @ X1 )
& ( ( sK2 @ X1 )
= sK3 ) ) ) ),
inference(and_proxy_clausification,[],[f101]) ).
thf(f103,plain,
! [X2: $i,X1: $i] :
( ( sK3
!= ( sK2 @ X2 ) )
| ( $false
= ( ( sK0 @ X1 )
& ( ( sK2 @ X1 )
= sK3 ) ) )
| ( $false
= ( ( sK0 @ X2 )
| ( sK1 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f102]) ).
thf(f104,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK2 @ X1 )
= sK3 ) )
| ( ( sK0 @ X1 )
= $false )
| ( sK3
!= ( sK2 @ X2 ) )
| ( $false
= ( ( sK0 @ X2 )
| ( sK1 @ X2 ) ) ) ),
inference(and_proxy_clausification,[],[f103]) ).
thf(f105,plain,
! [X2: $i,X1: $i] :
( ( sK3
!= ( sK2 @ X2 ) )
| ( ( sK0 @ X1 )
= $false )
| ( sK3
!= ( sK2 @ X1 ) )
| ( $false
= ( ( sK0 @ X2 )
| ( sK1 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f104]) ).
thf(f107,plain,
! [X2: $i,X1: $i] :
( ( sK3
!= ( sK2 @ X1 ) )
| ( ( sK0 @ X1 )
= $false )
| ( sK3
!= ( sK2 @ X2 ) )
| ( $false
= ( sK0 @ X2 ) ) ),
inference(or_proxy_clausification,[],[f105]) ).
thf(f108,plain,
! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ X1 ) )
| ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) ) ) ) ),
inference(pi_proxy_clausification,[],[f97]) ).
thf(f109,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ X1 ) )
| ( $false
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ X2 ) ) ),
inference(pi_proxy_clausification,[],[f108]) ).
thf(f110,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK1 @ X1 )
& ( ( sK2 @ X1 )
= sK3 ) ) )
| ( $false
= ( ( ( sK0 @ X2 )
| ( sK1 @ X2 ) )
& ( ( sK2 @ X2 )
= sK3 ) ) ) ),
inference(beta-eta_normalization,[],[f109]) ).
thf(f111,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( ( sK0 @ X2 )
| ( sK1 @ X2 ) )
& ( ( sK2 @ X2 )
= sK3 ) ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $false
= ( ( sK2 @ X1 )
= sK3 ) ) ),
inference(and_proxy_clausification,[],[f110]) ).
thf(f112,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK1 @ X1 ) )
| ( $false
= ( ( sK2 @ X2 )
= sK3 ) )
| ( $false
= ( ( sK0 @ X2 )
| ( sK1 @ X2 ) ) )
| ( $false
= ( ( sK2 @ X1 )
= sK3 ) ) ),
inference(and_proxy_clausification,[],[f111]) ).
thf(f113,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK1 @ X1 ) )
| ( $false
= ( ( sK0 @ X2 )
| ( sK1 @ X2 ) ) )
| ( sK3
!= ( sK2 @ X2 ) )
| ( $false
= ( ( sK2 @ X1 )
= sK3 ) ) ),
inference(equality_proxy_clausification,[],[f112]) ).
thf(f114,plain,
! [X2: $i,X1: $i] :
( ( sK3
!= ( sK2 @ X2 ) )
| ( $false
= ( ( sK2 @ X1 )
= sK3 ) )
| ( $false
= ( sK1 @ X1 ) )
| ( $false
= ( sK1 @ X2 ) ) ),
inference(or_proxy_clausification,[],[f113]) ).
thf(f117,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( sK1 @ X2 ) )
| ( sK3
!= ( sK2 @ X1 ) )
| ( $false
= ( sK1 @ X1 ) )
| ( sK3
!= ( sK2 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f114]) ).
thf(f118,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
| ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) ) )
= $true )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
= $true ) ),
inference(beta-eta_normalization,[],[f94]) ).
thf(f119,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
= $true )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
= $true )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
= $true ) ),
inference(or_proxy_clausification,[],[f118]) ).
thf(f120,plain,
( ( ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ sK4 )
= $true )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
= $true )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f119]) ).
thf(f121,plain,
( ( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ sK5 )
= $true )
| ( ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ sK4 )
= $true )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) ) )
= $true ) ),
inference(sigma_proxy_clausification,[],[f120]) ).
thf(f122,plain,
( ( ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ sK4 )
= $true )
| ( ( ^ [Y0: $i] :
( ( sK1 @ Y0 )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ sK6 )
= $true )
| ( ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
| ( sK1 @ Y0 ) )
& ( ( sK2 @ Y0 )
= sK3 ) )
@ sK5 )
= $true ) ),
inference(sigma_proxy_clausification,[],[f121]) ).
thf(f123,plain,
( ( ( ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) )
& ( ( sK2 @ sK5 )
= sK3 ) )
= $true )
| ( $true
= ( ( sK0 @ sK4 )
& ( ( sK2 @ sK4 )
= sK3 ) ) )
| ( ( ( sK1 @ sK6 )
& ( ( sK2 @ sK6 )
= sK3 ) )
= $true ) ),
inference(beta-eta_normalization,[],[f122]) ).
thf(f124,plain,
( ( $true
= ( ( sK0 @ sK4 )
& ( ( sK2 @ sK4 )
= sK3 ) ) )
| ( $true
= ( ( sK2 @ sK5 )
= sK3 ) )
| ( ( ( sK1 @ sK6 )
& ( ( sK2 @ sK6 )
= sK3 ) )
= $true ) ),
inference(and_proxy_clausification,[],[f123]) ).
thf(f125,plain,
( ( ( ( sK1 @ sK6 )
& ( ( sK2 @ sK6 )
= sK3 ) )
= $true )
| ( $true
= ( ( sK0 @ sK4 )
& ( ( sK2 @ sK4 )
= sK3 ) ) )
| ( ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) )
= $true ) ),
inference(and_proxy_clausification,[],[f123]) ).
thf(f126,plain,
( ( ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) )
= $true )
| ( $true
= ( ( sK0 @ sK4 )
& ( ( sK2 @ sK4 )
= sK3 ) ) )
| ( ( ( sK2 @ sK6 )
= sK3 )
= $true ) ),
inference(and_proxy_clausification,[],[f125]) ).
thf(f127,plain,
( ( ( sK1 @ sK6 )
= $true )
| ( ( ( sK0 @ sK5 )
| ( sK1 @ sK5 ) )
= $true )
| ( $true
= ( ( sK0 @ sK4 )
& ( ( sK2 @ sK4 )
= sK3 ) ) ) ),
inference(and_proxy_clausification,[],[f125]) ).
thf(f128,plain,
( ( ( sK1 @ sK6 )
= $true )
| ( $true
= ( ( sK0 @ sK4 )
& ( ( sK2 @ sK4 )
= sK3 ) ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true ) ),
inference(or_proxy_clausification,[],[f127]) ).
thf(f129,plain,
( ( ( sK1 @ sK6 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( ( sK2 @ sK4 )
= sK3 )
= $true ) ),
inference(and_proxy_clausification,[],[f128]) ).
thf(f130,plain,
( ( ( sK0 @ sK4 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK1 @ sK6 )
= $true ) ),
inference(and_proxy_clausification,[],[f128]) ).
thf(f131,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK4 )
= sK3 )
| ( ( sK1 @ sK6 )
= $true ) ),
inference(equality_proxy_clausification,[],[f129]) ).
thf(f132,plain,
( ( ( ( sK2 @ sK6 )
= sK3 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( ( sK0 @ sK4 )
& ( ( sK2 @ sK4 )
= sK3 ) ) ) ),
inference(or_proxy_clausification,[],[f126]) ).
thf(f133,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( ( sK0 @ sK4 )
& ( ( sK2 @ sK4 )
= sK3 ) ) )
| ( $true
= ( sK1 @ sK5 ) )
| ( sK3
= ( sK2 @ sK6 ) ) ),
inference(equality_proxy_clausification,[],[f132]) ).
thf(f134,plain,
( ( ( ( sK2 @ sK4 )
= sK3 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( sK3
= ( sK2 @ sK6 ) ) ),
inference(and_proxy_clausification,[],[f133]) ).
thf(f135,plain,
( ( ( sK0 @ sK4 )
= $true )
| ( ( sK0 @ sK5 )
= $true )
| ( $true
= ( sK1 @ sK5 ) )
| ( sK3
= ( sK2 @ sK6 ) ) ),
inference(and_proxy_clausification,[],[f133]) ).
thf(f136,plain,
( ( ( sK0 @ sK5 )
= $true )
| ( ( sK2 @ sK4 )
= sK3 )
| ( sK3
= ( sK2 @ sK6 ) )
| ( $true
= ( sK1 @ sK5 ) ) ),
inference(equality_proxy_clausification,[],[f134]) ).
thf(f137,plain,
( ( ( ( sK1 @ sK6 )
& ( ( sK2 @ sK6 )
= sK3 ) )
= $true )
| ( ( ( sK2 @ sK4 )
= sK3 )
= $true )
| ( $true
= ( ( sK2 @ sK5 )
= sK3 ) ) ),
inference(and_proxy_clausification,[],[f124]) ).
thf(f138,plain,
( ( ( sK0 @ sK4 )
= $true )
| ( $true
= ( ( sK2 @ sK5 )
= sK3 ) )
| ( ( ( sK1 @ sK6 )
& ( ( sK2 @ sK6 )
= sK3 ) )
= $true ) ),
inference(and_proxy_clausification,[],[f124]) ).
thf(f139,plain,
( ( ( sK0 @ sK4 )
= $true )
| ( ( ( sK1 @ sK6 )
& ( ( sK2 @ sK6 )
= sK3 ) )
= $true )
| ( sK3
= ( sK2 @ sK5 ) ) ),
inference(equality_proxy_clausification,[],[f138]) ).
thf(f140,plain,
( ( ( ( sK2 @ sK6 )
= sK3 )
= $true )
| ( ( sK0 @ sK4 )
= $true )
| ( sK3
= ( sK2 @ sK5 ) ) ),
inference(and_proxy_clausification,[],[f139]) ).
thf(f141,plain,
( ( ( sK1 @ sK6 )
= $true )
| ( sK3
= ( sK2 @ sK5 ) )
| ( ( sK0 @ sK4 )
= $true ) ),
inference(and_proxy_clausification,[],[f139]) ).
thf(f142,plain,
( ( sK3
= ( sK2 @ sK5 ) )
| ( ( sK0 @ sK4 )
= $true )
| ( sK3
= ( sK2 @ sK6 ) ) ),
inference(equality_proxy_clausification,[],[f140]) ).
thf(f143,plain,
( ( $true
= ( ( sK2 @ sK5 )
= sK3 ) )
| ( ( ( sK2 @ sK4 )
= sK3 )
= $true )
| ( ( ( sK2 @ sK6 )
= sK3 )
= $true ) ),
inference(and_proxy_clausification,[],[f137]) ).
thf(f144,plain,
( ( ( ( sK2 @ sK4 )
= sK3 )
= $true )
| ( $true
= ( ( sK2 @ sK5 )
= sK3 ) )
| ( ( sK1 @ sK6 )
= $true ) ),
inference(and_proxy_clausification,[],[f137]) ).
thf(f145,plain,
( ( ( sK1 @ sK6 )
= $true )
| ( ( sK2 @ sK4 )
= sK3 )
| ( $true
= ( ( sK2 @ sK5 )
= sK3 ) ) ),
inference(equality_proxy_clausification,[],[f144]) ).
thf(f146,plain,
( ( sK3
= ( sK2 @ sK5 ) )
| ( ( sK1 @ sK6 )
= $true )
| ( ( sK2 @ sK4 )
= sK3 ) ),
inference(equality_proxy_clausification,[],[f145]) ).
thf(f147,plain,
( ( sK3
= ( sK2 @ sK5 ) )
| ( ( ( sK2 @ sK6 )
= sK3 )
= $true )
| ( ( ( sK2 @ sK4 )
= sK3 )
= $true ) ),
inference(equality_proxy_clausification,[],[f143]) ).
thf(f148,plain,
( ( ( ( sK2 @ sK4 )
= sK3 )
= $true )
| ( sK3
= ( sK2 @ sK6 ) )
| ( sK3
= ( sK2 @ sK5 ) ) ),
inference(equality_proxy_clausification,[],[f147]) ).
thf(f149,plain,
( ( sK3
= ( sK2 @ sK6 ) )
| ( ( sK2 @ sK4 )
= sK3 )
| ( sK3
= ( sK2 @ sK5 ) ) ),
inference(equality_proxy_clausification,[],[f148]) ).
thf(f151,definition,
( spl7_1
<=> ! [X1: $i] :
( ( sK3
!= ( sK2 @ X1 ) )
| ( ( sK0 @ X1 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
thf(f152,plain,
( ! [X1: $i] :
( ( sK3
!= ( sK2 @ X1 ) )
| ( ( sK0 @ X1 )
= $false ) )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f151]) ).
thf(f153,plain,
( spl7_1
| spl7_1 ),
inference(avatar_split_clause,[],[f107,f151,f151]) ).
thf(f155,definition,
( spl7_2
<=> ! [X2: $i] :
( ( $false
= ( sK1 @ X2 ) )
| ( sK3
!= ( sK2 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
thf(f156,plain,
( ! [X2: $i] :
( ( sK3
!= ( sK2 @ X2 ) )
| ( $false
= ( sK1 @ X2 ) ) )
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f159,plain,
( spl7_2
| spl7_2 ),
inference(avatar_split_clause,[],[f117,f155,f155]) ).
thf(f161,definition,
( spl7_3
<=> ( ( sK0 @ sK5 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
thf(f163,plain,
( ( ( sK0 @ sK5 )
= $true )
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f161]) ).
thf(f165,definition,
( spl7_4
<=> ( ( sK1 @ sK6 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
thf(f167,plain,
( ( ( sK1 @ sK6 )
= $true )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f165]) ).
thf(f169,definition,
( spl7_5
<=> ( ( sK0 @ sK4 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
thf(f171,plain,
( ( ( sK0 @ sK4 )
= $true )
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f169]) ).
thf(f173,definition,
( spl7_6
<=> ( $true
= ( sK1 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_6])],[avatar_definition]) ).
thf(f175,plain,
( ( $true
= ( sK1 @ sK5 ) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f173]) ).
thf(f176,plain,
( spl7_3
| spl7_4
| spl7_5
| spl7_6 ),
inference(avatar_split_clause,[],[f130,f173,f169,f165,f161]) ).
thf(f178,definition,
( spl7_7
<=> ( ( sK2 @ sK4 )
= sK3 ) ),
introduced(definition,[new_symbols(definition,[spl7_7])],[avatar_definition]) ).
thf(f180,plain,
( ( ( sK2 @ sK4 )
= sK3 )
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f178]) ).
thf(f181,plain,
( spl7_4
| spl7_7
| spl7_6
| spl7_3 ),
inference(avatar_split_clause,[],[f131,f161,f173,f178,f165]) ).
thf(f183,definition,
( spl7_8
<=> ( sK3
= ( sK2 @ sK6 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_8])],[avatar_definition]) ).
thf(f185,plain,
( ( sK3
= ( sK2 @ sK6 ) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f183]) ).
thf(f186,plain,
( spl7_6
| spl7_8
| spl7_3
| spl7_5 ),
inference(avatar_split_clause,[],[f135,f169,f161,f183,f173]) ).
thf(f187,plain,
( spl7_7
| spl7_8
| spl7_6
| spl7_3 ),
inference(avatar_split_clause,[],[f136,f161,f173,f183,f178]) ).
thf(f189,definition,
( spl7_9
<=> ( sK3
= ( sK2 @ sK5 ) ) ),
introduced(definition,[new_symbols(definition,[spl7_9])],[avatar_definition]) ).
thf(f191,plain,
( ( sK3
= ( sK2 @ sK5 ) )
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f189]) ).
thf(f192,plain,
( spl7_9
| spl7_5
| spl7_4 ),
inference(avatar_split_clause,[],[f141,f165,f169,f189]) ).
thf(f193,plain,
( spl7_9
| spl7_5
| spl7_8 ),
inference(avatar_split_clause,[],[f142,f183,f169,f189]) ).
thf(f194,plain,
( spl7_7
| spl7_4
| spl7_9 ),
inference(avatar_split_clause,[],[f146,f189,f165,f178]) ).
thf(f195,plain,
( spl7_8
| spl7_7
| spl7_9 ),
inference(avatar_split_clause,[],[f149,f189,f178,f183]) ).
thf(f196,plain,
( ( ( sK0 @ sK4 )
= $false )
| ( sK3 != sK3 )
| ~ spl7_1
| ~ spl7_7 ),
inference(constrained_superposition,[],[f152,f180]) ).
thf(f197,plain,
( ( ( sK0 @ sK4 )
= $false )
| ~ spl7_1
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f196]) ).
thf(f198,plain,
( ( $false = $true )
| ~ spl7_1
| ~ spl7_5
| ~ spl7_7 ),
inference(forward_demodulation,[],[f197,f171]) ).
thf(f199,plain,
( $false
| ~ spl7_1
| ~ spl7_5
| ~ spl7_7 ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f200,plain,
( ~ spl7_1
| ~ spl7_5
| ~ spl7_7 ),
inference(avatar_contradiction_clause,[],[f199]) ).
thf(f201,plain,
( ( sK3 != sK3 )
| ( ( sK0 @ sK5 )
= $false )
| ~ spl7_1
| ~ spl7_9 ),
inference(constrained_superposition,[],[f152,f191]) ).
thf(f202,plain,
( ( ( sK0 @ sK5 )
= $false )
| ~ spl7_1
| ~ spl7_9 ),
inference(trivial_inequality_removal,[],[f201]) ).
thf(f203,plain,
( ( $false = $true )
| ~ spl7_1
| ~ spl7_3
| ~ spl7_9 ),
inference(forward_demodulation,[],[f202,f163]) ).
thf(f204,plain,
( $false
| ~ spl7_1
| ~ spl7_3
| ~ spl7_9 ),
inference(trivial_inequality_removal,[],[f203]) ).
thf(f205,plain,
( ~ spl7_1
| ~ spl7_3
| ~ spl7_9 ),
inference(avatar_contradiction_clause,[],[f204]) ).
thf(f207,plain,
( ( sK3 != sK3 )
| ( $false
= ( sK1 @ sK5 ) )
| ~ spl7_2
| ~ spl7_9 ),
inference(constrained_superposition,[],[f156,f191]) ).
thf(f208,plain,
( ( $false
= ( sK1 @ sK5 ) )
| ~ spl7_2
| ~ spl7_9 ),
inference(trivial_inequality_removal,[],[f207]) ).
thf(f209,plain,
( ( $false = $true )
| ~ spl7_2
| ~ spl7_6
| ~ spl7_9 ),
inference(forward_demodulation,[],[f208,f175]) ).
thf(f210,plain,
( $false
| ~ spl7_2
| ~ spl7_6
| ~ spl7_9 ),
inference(trivial_inequality_removal,[],[f209]) ).
thf(f211,plain,
( ~ spl7_2
| ~ spl7_6
| ~ spl7_9 ),
inference(avatar_contradiction_clause,[],[f210]) ).
thf(f213,plain,
( ( sK3 != sK3 )
| ( $false
= ( sK1 @ sK6 ) )
| ~ spl7_2
| ~ spl7_8 ),
inference(constrained_superposition,[],[f156,f185]) ).
thf(f215,plain,
( ( $false
= ( sK1 @ sK6 ) )
| ~ spl7_2
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f213]) ).
thf(f217,plain,
( ( $false = $true )
| ~ spl7_2
| ~ spl7_4
| ~ spl7_8 ),
inference(forward_demodulation,[],[f215,f167]) ).
thf(f218,plain,
( $false
| ~ spl7_2
| ~ spl7_4
| ~ spl7_8 ),
inference(trivial_inequality_removal,[],[f217]) ).
thf(f219,plain,
( ~ spl7_2
| ~ spl7_4
| ~ spl7_8 ),
inference(avatar_contradiction_clause,[],[f218]) ).
cnf(s1,plain,
( spl7_1
| spl7_1 ),
inference(sat_conversion,[],[f153]) ).
cnf(s2,plain,
spl7_1,
inference(rat,[],[s1]) ).
cnf(s5,plain,
( spl7_2
| spl7_2 ),
inference(sat_conversion,[],[f159]) ).
cnf(s6,plain,
spl7_2,
inference(rat,[],[s5]) ).
cnf(s7,plain,
( spl7_3
| spl7_4
| spl7_5
| spl7_6 ),
inference(sat_conversion,[],[f176]) ).
cnf(s8,plain,
( spl7_3
| spl7_4
| spl7_6
| spl7_7 ),
inference(sat_conversion,[],[f181]) ).
cnf(s9,plain,
( spl7_3
| spl7_5
| spl7_6
| spl7_8 ),
inference(sat_conversion,[],[f186]) ).
cnf(s10,plain,
( spl7_3
| spl7_6
| spl7_7
| spl7_8 ),
inference(sat_conversion,[],[f187]) ).
cnf(s11,plain,
( spl7_4
| spl7_5
| spl7_9 ),
inference(sat_conversion,[],[f192]) ).
cnf(s12,plain,
( spl7_5
| spl7_8
| spl7_9 ),
inference(sat_conversion,[],[f193]) ).
cnf(s13,plain,
( spl7_4
| spl7_7
| spl7_9 ),
inference(sat_conversion,[],[f194]) ).
cnf(s14,plain,
( spl7_7
| spl7_8
| spl7_9 ),
inference(sat_conversion,[],[f195]) ).
cnf(s15,plain,
( ~ spl7_1
| ~ spl7_5
| ~ spl7_7 ),
inference(sat_conversion,[],[f200]) ).
cnf(s16,plain,
( ~ spl7_1
| ~ spl7_3
| ~ spl7_9 ),
inference(sat_conversion,[],[f205]) ).
cnf(s17,plain,
( ~ spl7_2
| ~ spl7_6
| ~ spl7_9 ),
inference(sat_conversion,[],[f211]) ).
cnf(s18,plain,
( ~ spl7_2
| ~ spl7_4
| ~ spl7_8 ),
inference(sat_conversion,[],[f219]) ).
cnf(s19,plain,
( spl7_5
| spl7_4
| spl7_3 ),
inference(rat,[],[s17,s7,s11,s6]) ).
cnf(s20,plain,
( spl7_4
| spl7_3 ),
inference(rat,[],[s17,s8,s13,s15,s19,s2,s6]) ).
cnf(s21,plain,
( spl7_5
| spl7_3 ),
inference(rat,[],[s17,s9,s12,s18,s20,s6]) ).
cnf(s22,plain,
spl7_3,
inference(rat,[],[s17,s10,s14,s15,s21,s18,s20,s6,s2]) ).
cnf(s23,plain,
~ spl7_9,
inference(rat,[],[s16,s2,s22]) ).
cnf(s24,plain,
spl7_5,
inference(rat,[],[s18,s12,s11,s6,s23]) ).
cnf(s25,plain,
~ spl7_7,
inference(rat,[],[s15,s2,s24]) ).
cnf(s26,plain,
spl7_4,
inference(rat,[],[s13,s23,s25]) ).
cnf(s27,plain,
spl7_8,
inference(rat,[],[s14,s23,s25]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s18,s6,s27,s26]) ).
thf(f220,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET752^4 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n009.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 13:41:01 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.28 % (4006142)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.28 % (4006150)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=1186864558: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)
% 0.21/0.28 % (4006153)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.28 % (4006153)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
% 0.21/0.28 % (4006147)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3039449905:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.28 % (4006148)lrs+10_16_si=on:nwc=1.5:random_seed=1649636774:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.28 % (4006149)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3223191485:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.28 % (4006151)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4128639234:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.28 % (4006152)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4214130131:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.28 % (4006153)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=263065436:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.28 % (4006149)Instruction limit reached!
% 0.21/0.28 % (4006149)------------------------------
% 0.21/0.28 % (4006149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (4006149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (4006149)CaDiCaL version: 2.1.3
% 0.21/0.29 % (4006149)Termination reason: Instruction limit
% 0.21/0.29 % (4006149)Termination phase: Function definition elimination
% 0.21/0.29 % (4006149)Time elapsed: 0.002 s
% 0.21/0.29 % (4006149)Peak memory usage: 10 MB
% 0.21/0.29 % (4006149)Instructions burned: 4 (million)
% 0.21/0.29 % (4006147) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4006142-4006147"...
% 0.21/0.29 % (4006148) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4006142-4006148"...
% 0.21/0.29 % (4006152) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4006142-4006152"...
% 0.21/0.29 % (4006153) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4006142-4006153"...
% 0.21/0.29 % (4006147)...printing done.
% 0.21/0.29 % (4006148)...printing done.
% 0.21/0.29 % (4006152)...printing done.
% 0.21/0.29 % (4006147)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Theorem for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (4006147)------------------------------
% 0.21/0.29 % (4006147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (4006147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (4006147)CaDiCaL version: 2.1.3
% 0.21/0.29 % (4006147)Termination reason: Refutation
% 0.21/0.29 % (4006147)Time elapsed: 0.009 s
% 0.21/0.29 % (4006147)Peak memory usage: 13 MB
% 0.21/0.29 % (4006147)Instructions burned: 15 (million)
% 0.21/0.29 % (4006142)Success in time 0.034 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------