%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ150^18 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:20:59 AM UTC 2026
% Result : Theorem 0.36s 0.43s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 52 ( 44 unt; 0 typ; 0 def)
% Number of atoms : 258 ( 47 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 461 ( 31 ~; 3 |; 23 &; 349 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 23 ( 23 >; 0 *; 0 +; 0 <<)
% Number of symbols : 44 ( 39 usr; 11 con; 0-4 aty)
% ( 16 !!; 17 ??; 0 @@+; 0 @@-)
% Number of variables : 110 ( 90 ^; 18 !; 2 ?; 110 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(type_def_6,type,
mindex: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
mrel: mindex > mworld > mworld > $o ).
thf(func_def_1,type,
'#c': mindex ).
thf(func_def_2,type,
'#b': mindex ).
thf(func_def_3,type,
'#a': mindex ).
thf(func_def_4,type,
mactual: mworld ).
thf(func_def_5,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_7,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
mbox: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_13,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
c0: mworld > $o ).
thf(func_def_15,type,
c1: mworld > $o ).
thf(func_def_16,type,
b0: mworld > $o ).
thf(func_def_17,type,
c2: mworld > $o ).
thf(func_def_18,type,
b1: mworld > $o ).
thf(func_def_19,type,
a0: mworld > $o ).
thf(func_def_20,type,
b2: mworld > $o ).
thf(func_def_21,type,
a1: mworld > $o ).
thf(func_def_22,type,
a2: mworld > $o ).
thf(func_def_23,type,
cb: mworld > $o ).
thf(func_def_24,type,
vIFF: $o > $o > $o ).
thf(func_def_25,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_26,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_27,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_29,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_30,type,
vAND: $o > $o > $o ).
thf(func_def_31,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
vOR: $o > $o > $o ).
thf(func_def_35,type,
vNOT: $o > $o ).
thf(func_def_36,type,
vIMP: $o > $o > $o ).
thf(func_def_37,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_38,type,
sK0: mworld ).
thf(func_def_39,type,
sK1: mworld ).
thf(func_def_40,type,
sK2: mworld ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mlocal_def) ).
thf(f2,axiom,
( ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) )
= mnot ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot_def) ).
thf(f7,axiom,
( ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_def) ).
thf(f8,axiom,
( mdia
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
? [X3: mworld] :
( ( X1 @ X3 )
& ( mrel @ X0 @ X2 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_def) ).
thf(f9,axiom,
! [X1: mworld,X0: mworld] : ( mrel @ '#c' @ X0 @ X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_#c_universal') ).
thf(f19,axiom,
mlocal @ a0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_a0) ).
thf(f20,conjecture,
mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(f21,negated_conjecture,
~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
thf(f24,plain,
( mdia
= ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
? [X3: mworld] :
( ( X1 @ X3 )
& ( mrel @ X0 @ X2 @ X3 ) ) ) ),
inference(rectify,[],[f8]) ).
thf(f25,plain,
( mdia
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
& ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f24]) ).
thf(f26,plain,
mlocal @ a0,
inference(rectify,[],[f19]) ).
thf(f27,plain,
( ( mlocal @ a0 )
= $true ),
inference(fool_elimination,[],[f26]) ).
thf(f36,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[],[f1]) ).
thf(f41,plain,
( ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[],[f2]) ).
thf(f42,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f41]) ).
thf(f45,plain,
~ ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) ),
inference(rectify,[],[f21]) ).
thf(f46,plain,
( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
!= $true ),
inference(fool_elimination,[],[f45]) ).
thf(f55,plain,
( ( ^ [X0: mindex,X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ( mrel @ X0 @ X2 @ X3 )
=> ( X1 @ X3 ) ) )
= mbox ),
inference(rectify,[],[f7]) ).
thf(f56,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(fool_elimination,[],[f55]) ).
thf(f57,plain,
! [X0: mworld,X1: mworld] : ( mrel @ '#c' @ X1 @ X0 ),
inference(rectify,[],[f9]) ).
thf(f58,plain,
! [X1: mworld,X0: mworld] :
( $true
= ( mrel @ '#c' @ X1 @ X0 ) ),
inference(fool_elimination,[],[f57]) ).
thf(f61,plain,
( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
!= $true ),
inference(flattening,[],[f46]) ).
thf(f63,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ '#c' @ X0 @ X1 )
= $true ),
inference(rectify,[],[f58]) ).
thf(f64,plain,
( mbox
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f56]) ).
thf(f67,plain,
! [X0: mworld,X1: mworld] :
( ( mrel @ '#c' @ X0 @ X1 )
= $true ),
inference(cnf_transformation,[],[f63]) ).
thf(f68,plain,
( ( mlocal @ a0 )
= $true ),
inference(cnf_transformation,[],[f27]) ).
thf(f69,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f42]) ).
thf(f70,plain,
( mdia
= ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
& ( Y1 @ Y3 ) ) ) ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f75,plain,
( ( mlocal @ ( mbox @ '#b' @ ( mnot @ ( mdia @ '#a' @ ( mdia @ '#b' @ ( mbox @ '#c' @ ( mnot @ a0 ) ) ) ) ) ) )
!= $true ),
inference(cnf_transformation,[],[f61]) ).
thf(f77,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[],[f36]) ).
thf(f87,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ a0 )
= $true ),
inference(definition_unfolding,[],[f68,f77]) ).
thf(f90,plain,
( ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#b'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
& ( Y1 @ Y3 ) ) )
@ '#a'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( ?? @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
& ( Y1 @ Y3 ) ) )
@ '#b'
@ ( ^ [Y0: mindex,Y1: mworld > $o,Y2: mworld] :
( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ Y0 @ Y2 @ Y3 )
=> ( Y1 @ Y3 ) ) )
@ '#c'
@ ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 )
@ a0 ) ) ) ) ) ) )
!= $true ),
inference(definition_unfolding,[],[f75,f77,f64,f69,f70,f70,f64,f69]) ).
thf(f127,plain,
( $true
= ( a0 @ mactual ) ),
inference(beta-eta_normalization,[],[f87]) ).
thf(f192,plain,
( $true
!= ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ~ ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#a' @ Y0 @ Y1 )
& ( ?? @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#b' @ Y1 @ Y2 )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ '#c' @ Y2 @ Y3 )
=> ~ ( a0 @ Y3 ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f90]) ).
thf(f193,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ '#b' @ mactual @ Y0 )
=> ~ ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#a' @ Y0 @ Y1 )
& ( ?? @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#b' @ Y1 @ Y2 )
& ( !! @ mworld
@ ^ [Y3: mworld] :
( ( mrel @ '#c' @ Y2 @ Y3 )
=> ~ ( a0 @ Y3 ) ) ) ) ) ) ) )
@ sK0 )
= $false ),
inference(sigma_proxy_clausification,[],[f192]) ).
thf(f194,plain,
( $false
= ( ( mrel @ '#b' @ mactual @ sK0 )
=> ~ ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ sK0 @ Y0 )
& ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#c' @ Y1 @ Y2 )
=> ~ ( a0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f193]) ).
thf(f195,plain,
( $false
= ( ~ ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ sK0 @ Y0 )
& ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#c' @ Y1 @ Y2 )
=> ~ ( a0 @ Y2 ) ) ) ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f194]) ).
thf(f197,plain,
( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#a' @ sK0 @ Y0 )
& ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#c' @ Y1 @ Y2 )
=> ~ ( a0 @ Y2 ) ) ) ) ) ) )
= $true ),
inference(not_proxy_clausification,[],[f195]) ).
thf(f198,plain,
( ( ^ [Y0: mworld] :
( ( mrel @ '#a' @ sK0 @ Y0 )
& ( ?? @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#b' @ Y0 @ Y1 )
& ( !! @ mworld
@ ^ [Y2: mworld] :
( ( mrel @ '#c' @ Y1 @ Y2 )
=> ~ ( a0 @ Y2 ) ) ) ) ) )
@ sK1 )
= $true ),
inference(sigma_proxy_clausification,[],[f197]) ).
thf(f199,plain,
( ( ( mrel @ '#a' @ sK0 @ sK1 )
& ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ sK1 @ Y0 )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ~ ( a0 @ Y1 ) ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f198]) ).
thf(f200,plain,
( ( ?? @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#b' @ sK1 @ Y0 )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ~ ( a0 @ Y1 ) ) ) ) )
= $true ),
inference(and_proxy_clausification,[],[f199]) ).
thf(f202,plain,
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#b' @ sK1 @ Y0 )
& ( !! @ mworld
@ ^ [Y1: mworld] :
( ( mrel @ '#c' @ Y0 @ Y1 )
=> ~ ( a0 @ Y1 ) ) ) )
@ sK2 ) ),
inference(sigma_proxy_clausification,[],[f200]) ).
thf(f203,plain,
( ( ( mrel @ '#b' @ sK1 @ sK2 )
& ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ sK2 @ Y0 )
=> ~ ( a0 @ Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f202]) ).
thf(f204,plain,
( ( !! @ mworld
@ ^ [Y0: mworld] :
( ( mrel @ '#c' @ sK2 @ Y0 )
=> ~ ( a0 @ Y0 ) ) )
= $true ),
inference(and_proxy_clausification,[],[f203]) ).
thf(f206,plain,
! [X1: mworld] :
( $true
= ( ^ [Y0: mworld] :
( ( mrel @ '#c' @ sK2 @ Y0 )
=> ~ ( a0 @ Y0 ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f204]) ).
thf(f207,plain,
! [X1: mworld] :
( ( ( mrel @ '#c' @ sK2 @ X1 )
=> ~ ( a0 @ X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f206]) ).
thf(f208,plain,
! [X1: mworld] :
( ( $false
= ( mrel @ '#c' @ sK2 @ X1 ) )
| ( ( ~ ( a0 @ X1 ) )
= $true ) ),
inference(imp_proxy_clausification,[],[f207]) ).
thf(f209,plain,
! [X1: mworld] :
( ( $false
= ( a0 @ X1 ) )
| ( $false
= ( mrel @ '#c' @ sK2 @ X1 ) ) ),
inference(not_proxy_clausification,[],[f208]) ).
thf(f238,plain,
! [X1: mworld] :
( ( $true = $false )
| ( $false
= ( a0 @ X1 ) ) ),
inference(forward_demodulation,[],[f209,f67]) ).
thf(f239,plain,
! [X1: mworld] :
( $false
= ( a0 @ X1 ) ),
inference(trivial_inequality_removal,[],[f238]) ).
thf(f254,plain,
$true = $false,
inference(backward_demodulation,[],[f127,f239]) ).
thf(f255,plain,
$false,
inference(trivial_inequality_removal,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ150^18 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n013.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 13:27:06 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 Running higher-order theorem proving
% 0.27/0.34 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
% 0.36/0.43 % (2099543)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.36/0.43 % (2099552)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1092465210:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.36/0.43 % (2099554)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.36/0.43 % (2099554)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
% 0.36/0.43 % (2099552)Instruction limit reached!
% 0.36/0.43 % (2099552)------------------------------
% 0.36/0.43 % (2099552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.43 % (2099552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.43 % (2099552)CaDiCaL version: 2.1.3
% 0.36/0.43 % (2099552)Termination reason: Instruction limit
% 0.36/0.43 % (2099552)Termination phase: Saturation
% 0.36/0.43 % (2099552)Time elapsed: 0.013 s
% 0.36/0.43 % (2099552)Peak memory usage: 12 MB
% 0.36/0.43 % (2099552)Instructions burned: 26 (million)
% 0.36/0.43 % (2099549)lrs+10_16_si=on:nwc=1.5:random_seed=3417055805:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.36/0.43 % (2099548)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1929685170:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.36/0.43 % (2099550)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=165241803:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.36/0.43 % (2099553)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1999903701:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.36/0.43 % (2099551)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=3575156917: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)
% 0.36/0.43 % (2099554)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=28480746:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.36/0.43 % (2099550)Instruction limit reached!
% 0.36/0.43 % (2099550)------------------------------
% 0.36/0.43 % (2099550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.43 % (2099550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.43 % (2099550)CaDiCaL version: 2.1.3
% 0.36/0.43 % (2099550)Termination reason: Instruction limit
% 0.36/0.43 % (2099550)Termination phase: Function definition elimination
% 0.36/0.43 % (2099550)Time elapsed: 0.004 s
% 0.36/0.43 % (2099550)Peak memory usage: 10 MB
% 0.36/0.43 % (2099550)Instructions burned: 4 (million)
% 0.36/0.43 % (2099549)Instruction limit reached!
% 0.36/0.43 % (2099549)------------------------------
% 0.36/0.43 % (2099549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.43 % (2099549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.43 % (2099549)CaDiCaL version: 2.1.3
% 0.36/0.43 % (2099549)Termination reason: Instruction limit
% 0.36/0.43 % (2099549)Termination phase: Saturation
% 0.36/0.43 % (2099549)Time elapsed: 0.015 s
% 0.36/0.43 % (2099549)Peak memory usage: 12 MB
% 0.36/0.43 % (2099549)Instructions burned: 19 (million)
% 0.36/0.43 % (2099559)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1432477570:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.36/0.43 % (2099553) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2099543-2099553"...
% 0.36/0.43 % (2099548) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2099543-2099548"...
% 0.36/0.43 % (2099559)Instruction limit reached!
% 0.36/0.43 % (2099559)------------------------------
% 0.36/0.43 % (2099559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.43 % (2099559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.43 % (2099559)CaDiCaL version: 2.1.3
% 0.36/0.43 % (2099559)Termination reason: Instruction limit
% 0.36/0.43 % (2099559)Termination phase: Property scanning
% 0.36/0.43 % (2099559)Time elapsed: 0.001 s
% 0.36/0.43 % (2099559)Peak memory usage: 10 MB
% 0.36/0.43 % (2099559)Instructions burned: 2 (million)
% 0.36/0.43 % (2099554) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2099543-2099554"...
% 0.36/0.43 % (2099548)...printing done.
% 0.36/0.43 % (2099553)...printing done.
% 0.36/0.43 % (2099553)Refutation found. Thanks to Tanya!
% 0.36/0.43 % SZS status Theorem for theBenchmark
% 0.36/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.36/0.43 % (2099553)------------------------------
% 0.36/0.43 % (2099553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.43 % (2099553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.43 % (2099553)CaDiCaL version: 2.1.3
% 0.36/0.43 % (2099553)Termination reason: Refutation
% 0.36/0.43 % (2099553)Time elapsed: 0.020 s
% 0.36/0.43 % (2099553)Peak memory usage: 12 MB
% 0.36/0.43 % (2099553)Instructions burned: 23 (million)
% 0.36/0.43 % (2099543)Success in time 0.071 s
% 0.36/0.43 % Vampire exiting
%------------------------------------------------------------------------------