%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO890^16 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:48:35 AM UTC 2026
% Result : Theorem 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 61 ( 43 unt; 0 typ; 0 def)
% Number of atoms : 354 ( 74 equ; 0 cnn)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 481 ( 19 ~; 17 |; 33 &; 364 @)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 36 ( 31 usr; 7 con; 0-4 aty)
% ( 11 !!; 11 ??; 0 @@+; 0 @@-)
% Number of variables : 132 ( 98 ^; 32 !; 2 ?; 132 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mworld > mworld > $o ).
thf(func_def_1,type,
mactual: mworld ).
thf(func_def_2,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_4,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_5,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
eiw_di: $i > mworld > $o ).
thf(func_def_12,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
e: $i > mworld > $o ).
thf(func_def_15,type,
f: $i > mworld > $o ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(func_def_17,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_18,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_19,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_20,type,
vAND: $o > $o > $o ).
thf(func_def_21,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_24,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_25,type,
vIMP: $o > $o > $o ).
thf(func_def_26,type,
vIFF: $o > $o > $o ).
thf(func_def_27,type,
vOR: $o > $o > $o ).
thf(func_def_28,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_29,type,
sK0: mworld > $i ).
thf(func_def_30,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_32,type,
sK2: mworld ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(f3,axiom,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(f5,axiom,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(f7,axiom,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(f12,axiom,
! [X2: $i,X1: mworld,X0: mworld] :
( ( ( mrel @ X0 @ X1 )
& ( eiw_di @ X2 @ X0 ) )
=> ( eiw_di @ X2 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_cumul) ).
thf(f14,axiom,
( mexists_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
? [X2: $i] :
( ( X0 @ X2 @ X1 )
& ( eiw_di @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).
thf(f15,conjecture,
( mlocal
@ ( mimplies
@ ( mexists_di
@ ^ [X0: $i] : ( mbox @ ( mand @ ( e @ X0 ) @ ( f @ X0 ) ) ) )
@ ( mbox
@ ( mexists_di
@ ^ [X0: $i] : ( f @ X0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(f16,negated_conjecture,
~ ( mlocal
@ ( mimplies
@ ( mexists_di
@ ^ [X0: $i] : ( mbox @ ( mand @ ( e @ X0 ) @ ( f @ X0 ) ) ) )
@ ( mbox
@ ( mexists_di
@ ^ [X0: $i] : ( f @ X0 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
thf(f19,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f20,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f19]) ).
thf(f21,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f24,plain,
( mbox
= ( ^ [X0: mworld > $o,X1: mworld] :
! [X2: mworld] :
( ( mrel @ X1 @ X2 )
=> ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f25,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f32,plain,
~ ( mlocal
@ ( mimplies
@ ( mexists_di
@ ^ [X0: $i] : ( mbox @ ( mand @ ( e @ X0 ) @ ( f @ X0 ) ) ) )
@ ( mbox
@ ( mexists_di
@ ^ [X1: $i] : ( f @ X1 ) ) ) ) ),
inference(rectify,[],[f16]) ).
thf(f33,plain,
( ( mlocal
@ ( mimplies
@ ( mexists_di
@ ^ [Y0: $i] : ( mbox @ ( mand @ ( e @ Y0 ) @ ( f @ Y0 ) ) ) )
@ ( mbox
@ ( mexists_di
@ ^ [Y0: $i] : ( f @ Y0 ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f32]) ).
thf(f36,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
inference(rectify,[],[f5]) ).
thf(f37,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f36]) ).
thf(f40,plain,
( mexists_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
? [X2: $i] :
( ( X0 @ X2 @ X1 )
& ( eiw_di @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f41,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f40]) ).
thf(f44,plain,
! [X0: $i,X1: mworld,X2: mworld] :
( ( ( mrel @ X2 @ X1 )
& ( eiw_di @ X0 @ X2 ) )
=> ( eiw_di @ X0 @ X1 ) ),
inference(rectify,[],[f12]) ).
thf(f45,plain,
! [X2: mworld,X0: $i,X1: mworld] :
( ( ( ( eiw_di @ X0 @ X2 )
= $true )
& ( ( mrel @ X2 @ X1 )
= $true ) )
=> ( $true
= ( eiw_di @ X0 @ X1 ) ) ),
inference(fool_elimination,[],[f44]) ).
thf(f46,plain,
( ( mlocal
@ ( mimplies
@ ( mexists_di
@ ^ [Y0: $i] : ( mbox @ ( mand @ ( e @ Y0 ) @ ( f @ Y0 ) ) ) )
@ ( mbox
@ ( mexists_di
@ ^ [Y0: $i] : ( f @ Y0 ) ) ) ) )
!= $true ),
inference(flattening,[],[f33]) ).
thf(f47,plain,
! [X2: mworld,X0: $i,X1: mworld] :
( ( $true
= ( eiw_di @ X0 @ X1 ) )
| ( ( eiw_di @ X0 @ X2 )
!= $true )
| ( ( mrel @ X2 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f45]) ).
thf(f48,plain,
! [X2: mworld,X1: mworld,X0: $i] :
( ( ( mrel @ X2 @ X1 )
!= $true )
| ( ( eiw_di @ X0 @ X2 )
!= $true )
| ( $true
= ( eiw_di @ X0 @ X1 ) ) ),
inference(flattening,[],[f47]) ).
thf(f52,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ( ( mrel @ X0 @ X1 )
!= $true )
| ( ( eiw_di @ X2 @ X0 )
!= $true )
| ( ( eiw_di @ X2 @ X1 )
= $true ) ),
inference(rectify,[],[f48]) ).
thf(f54,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f58,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f37]) ).
thf(f60,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f41]) ).
thf(f61,plain,
( mbox
= ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f63,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f20]) ).
thf(f66,plain,
( ( mlocal
@ ( mimplies
@ ( mexists_di
@ ^ [Y0: $i] : ( mbox @ ( mand @ ( e @ Y0 ) @ ( f @ Y0 ) ) ) )
@ ( mbox
@ ( mexists_di
@ ^ [Y0: $i] : ( f @ Y0 ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f46]) ).
thf(f67,plain,
! [X2: $i,X0: mworld,X1: mworld] :
( ( ( mrel @ X0 @ X1 )
!= $true )
| ( ( eiw_di @ X2 @ X0 )
!= $true )
| ( ( eiw_di @ X2 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f52]) ).
thf(f70,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ ( ^ [Y1: mworld > $o,Y2: mworld > $o,Y3: mworld] :
( ( Y2 @ Y3 )
& ( Y1 @ Y3 ) )
@ ( e @ Y0 )
@ ( f @ Y0 ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ Y1 @ Y2 )
=> ( Y0 @ Y2 ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] : ( f @ Y0 ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f66,f54,f58,f60,f61,f63,f61,f60]) ).
thf(f71,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( ( f @ Y0 @ Y1 )
& ( e @ Y0 @ Y1 ) ) ) ) ) )
=> ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( f @ Y1 @ Y0 ) ) ) ) ) )
!= $true ),
inference(beta-eta_normalization,[],[f70]) ).
thf(f72,plain,
( $false
= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( f @ Y1 @ Y0 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f71]) ).
thf(f73,plain,
( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( ( f @ Y0 @ Y1 )
& ( e @ Y0 @ Y1 ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f71]) ).
thf(f74,plain,
( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ mactual @ Y1 )
=> ( ( f @ Y0 @ Y1 )
& ( e @ Y0 @ Y1 ) ) ) ) )
@ sK1 )
= $true ),
inference(sigma_proxy_clausification,[],[f73]) ).
thf(f75,plain,
( ( ( eiw_di @ sK1 @ mactual )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( f @ sK1 @ Y0 )
& ( e @ sK1 @ Y0 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f74]) ).
thf(f76,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( f @ sK1 @ Y0 )
& ( e @ sK1 @ Y0 ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f75]) ).
thf(f77,plain,
( $true
= ( eiw_di @ sK1 @ mactual ) ),
inference(and_proxy_clausification,[],[f75]) ).
thf(f78,plain,
! [X1: mworld] :
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ( f @ sK1 @ Y0 )
& ( e @ sK1 @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f76]) ).
thf(f79,plain,
! [X1: mworld] :
( $true
= ( ( mrel @ mactual @ X1 )
=> ( ( f @ sK1 @ X1 )
& ( e @ sK1 @ X1 ) ) ) ),
inference(beta-eta_normalization,[],[f78]) ).
thf(f80,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( ( f @ sK1 @ X1 )
& ( e @ sK1 @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f79]) ).
thf(f82,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ mactual @ X1 ) )
| ( ( f @ sK1 @ X1 )
= $true ) ),
inference(and_proxy_clausification,[],[f80]) ).
thf(f83,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ Y0 )
& ( f @ Y1 @ Y0 ) ) ) )
@ sK2 )
= $false ),
inference(sigma_proxy_clausification,[],[f72]) ).
thf(f84,plain,
( $false
= ( ( mrel @ mactual @ sK2 )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK2 )
& ( f @ Y0 @ sK2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f83]) ).
thf(f85,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK2 )
& ( f @ Y0 @ sK2 ) ) )
= $false ),
inference(imp_proxy_clausification,[],[f84]) ).
thf(f86,plain,
( ( mrel @ mactual @ sK2 )
= $true ),
inference(imp_proxy_clausification,[],[f84]) ).
thf(f87,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ sK2 )
& ( f @ Y0 @ sK2 ) )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f85]) ).
thf(f88,plain,
! [X1: $i] :
( $false
= ( ( eiw_di @ X1 @ sK2 )
& ( f @ X1 @ sK2 ) ) ),
inference(beta-eta_normalization,[],[f87]) ).
thf(f89,plain,
! [X1: $i] :
( ( $false
= ( f @ X1 @ sK2 ) )
| ( $false
= ( eiw_di @ X1 @ sK2 ) ) ),
inference(and_proxy_clausification,[],[f88]) ).
thf(f101,plain,
( ( $false = $true )
| ( $true
= ( f @ sK1 @ sK2 ) ) ),
inference(constrained_superposition,[],[f86,f82]) ).
thf(f102,plain,
( $true
= ( f @ sK1 @ sK2 ) ),
inference(trivial_inequality_removal,[],[f101]) ).
thf(f107,plain,
( ( ( eiw_di @ sK1 @ sK2 )
= $false )
| ( $false = $true ) ),
inference(constrained_superposition,[],[f89,f102]) ).
thf(f108,plain,
( ( eiw_di @ sK1 @ sK2 )
= $false ),
inference(trivial_inequality_removal,[],[f107]) ).
thf(f118,plain,
! [X0: $i] :
( ( ( eiw_di @ X0 @ mactual )
!= $true )
| ( $true != $true )
| ( ( eiw_di @ X0 @ sK2 )
= $true ) ),
inference(constrained_superposition,[],[f67,f86]) ).
thf(f121,plain,
! [X0: $i] :
( ( ( eiw_di @ X0 @ mactual )
!= $true )
| ( ( eiw_di @ X0 @ sK2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f118]) ).
thf(f122,plain,
( ( ( eiw_di @ sK1 @ sK2 )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f121,f77]) ).
thf(f124,plain,
( ( eiw_di @ sK1 @ sK2 )
= $true ),
inference(trivial_inequality_removal,[],[f122]) ).
thf(f126,plain,
$false = $true,
inference(forward_demodulation,[],[f124,f108]) ).
thf(f127,plain,
$false,
inference(trivial_inequality_removal,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO890^16 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n001.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 17:31:51 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.21 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
% 0.18/0.27 % (1556080)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.18/0.27 % (1556087)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1017040247:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.18/0.27 % (1556087)Refutation not found, incomplete strategy
% 0.18/0.27 % (1556087)------------------------------
% 0.18/0.27 % (1556087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (1556087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (1556087)CaDiCaL version: 2.1.3
% 0.18/0.27 % (1556087)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.27 % (1556087)Time elapsed: 0.002 s
% 0.18/0.27 % (1556087)Peak memory usage: 12 MB
% 0.18/0.27 % (1556087)Instructions burned: 4 (million)
% 0.18/0.27 % (1556087)------------------------------
% 0.18/0.27 % (1556087)------------------------------
% 0.18/0.27 % (1556085)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2732328080:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.18/0.27 % (1556086)lrs+10_16_si=on:nwc=1.5:random_seed=3834898116:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.18/0.27 % (1556089)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2831567614:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.18/0.27 % (1556088)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=3088114829: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)
% 0.18/0.27 % (1556090)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=953854209:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.18/0.27 % (1556085) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1556080-1556085"...
% 0.18/0.27 % (1556086) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1556080-1556086"...
% 0.18/0.27 % (1556090) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1556080-1556090"...
% 0.18/0.27 % (1556093)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3001328619:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.18/0.27 % (1556093)Instruction limit reached!
% 0.18/0.27 % (1556093)------------------------------
% 0.18/0.27 % (1556093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (1556093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (1556093)CaDiCaL version: 2.1.3
% 0.18/0.27 % (1556093)Termination reason: Instruction limit
% 0.18/0.27 % (1556093)Termination phase: Saturation
% 0.18/0.27 % (1556093)Time elapsed: 0.001 s
% 0.18/0.27 % (1556086)...printing done.
% 0.18/0.27 % (1556085)...printing done.
% 0.18/0.27 % (1556093)Peak memory usage: 11 MB
% 0.18/0.27 % (1556093)Instructions burned: 3 (million)
% 0.18/0.27 % (1556090)...printing done.
% 0.18/0.27 % (1556085)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Theorem for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (1556085)------------------------------
% 0.18/0.27 % (1556085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (1556085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (1556085)CaDiCaL version: 2.1.3
% 0.18/0.27 % (1556085)Termination reason: Refutation
% 0.18/0.27 % (1556085)Time elapsed: 0.007 s
% 0.18/0.27 % (1556085)Peak memory usage: 12 MB
% 0.18/0.27 % (1556085)Instructions burned: 10 (million)
% 0.18/0.27 % (1556080)Success in time 0.043 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------