%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA112^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 07:45:56 AM UTC 2026
% Result : Theorem 0.20s 0.32s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 108 ( 30 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 412 ( 16 ~; 8 |; 3 &; 382 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 42 ( 42 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 130 ( 50 ^; 70 !; 10 ?; 130 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
'type/realax/real': $tType ).
thf(type_def_6,type,
'type/nums/num': $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
'const/sets/FINITE':
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_1,type,
'const/iterate/sum':
!>[X0: $tType] : ( ( X0 > $o ) > ( X0 > 'type/realax/real' ) > 'type/realax/real' ) ).
thf(func_def_2,type,
'const/iterate/..': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' > $o ).
thf(func_def_4,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_5,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_6,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_9,type,
sK0: 'type/nums/num' ).
thf(func_def_10,type,
sK1: 'type/nums/num' ).
thf(func_def_11,type,
sK2: 'type/nums/num' ).
thf(func_def_12,type,
sK3: 'type/nums/num' ).
thf(func_def_13,type,
sK4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real' ).
thf(f1,axiom,
! [X0: $tType,X1: $tType,X2: X0 > X1 > 'type/realax/real',X4: X1 > $o,X3: X0 > $o] :
( ( ( 'const/sets/FINITE' @ X0 @ X3 )
& ( 'const/sets/FINITE' @ X1 @ X4 ) )
=> ( ( 'const/iterate/sum' @ X0 @ X3
@ ^ [X5: X0] : ( 'const/iterate/sum' @ X1 @ X4 @ ( X2 @ X5 ) ) )
= ( 'const/iterate/sum' @ X1 @ X4
@ ^ [X5: X1] :
( 'const/iterate/sum' @ X0 @ X3
@ ^ [X6: X0] : ( X2 @ X6 @ X5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_SWAP_') ).
thf(f2,axiom,
! [X0: 'type/nums/num',X1: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/FINITE_NUMSEG_') ).
thf(f3,conjecture,
! [X0: 'type/nums/num',X2: 'type/nums/num',X1: 'type/nums/num',X4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real',X3: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [X5: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
@ ^ [X6: 'type/nums/num'] : ( X4 @ X6 @ X5 ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
@ ^ [X5: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 ) @ ( X4 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/SUM_SWAP_NUMSEG_') ).
thf(f4,negated_conjecture,
~ ! [X0: 'type/nums/num',X2: 'type/nums/num',X1: 'type/nums/num',X4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real',X3: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [X5: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
@ ^ [X6: 'type/nums/num'] : ( X4 @ X6 @ X5 ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
@ ^ [X5: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 ) @ ( X4 @ X5 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f5,plain,
~ ! [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num' > 'type/nums/num' > 'type/realax/real',X4: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X4 )
@ ^ [X5: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [X6: 'type/nums/num'] : ( X3 @ X6 @ X5 ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [X7: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X4 ) @ ( X3 @ X7 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f6,plain,
~ ! [X1: 'type/nums/num',X3: 'type/nums/num' > 'type/nums/num' > 'type/realax/real',X2: 'type/nums/num',X4: 'type/nums/num',X0: 'type/nums/num'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X4 ) @ ( X3 @ Y0 ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X4 )
@ ^ [Y0: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [Y1: 'type/nums/num'] : ( X3 @ Y1 @ Y0 ) ) ) ),
inference(fool_elimination,[],[f5]) ).
thf(f7,plain,
! [X0: $tType,X1: $tType,X2: X0 > X1 > 'type/realax/real',X3: X1 > $o,X4: X0 > $o] :
( ( ( 'const/sets/FINITE' @ X0 @ X4 )
& ( 'const/sets/FINITE' @ X1 @ X3 ) )
=> ( ( 'const/iterate/sum' @ X0 @ X4
@ ^ [X5: X0] : ( 'const/iterate/sum' @ X1 @ X3 @ ( X2 @ X5 ) ) )
= ( 'const/iterate/sum' @ X1 @ X3
@ ^ [X6: X1] :
( 'const/iterate/sum' @ X0 @ X4
@ ^ [X7: X0] : ( X2 @ X7 @ X6 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f8,plain,
! [X1: $tType,X0: $tType,X4: X0 > $o,X2: X0 > X1 > 'type/realax/real',X3: X1 > $o] :
( ( ( $true
= ( 'const/sets/FINITE' @ X0 @ X4 ) )
& ( $true
= ( 'const/sets/FINITE' @ X1 @ X3 ) ) )
=> ( ( 'const/iterate/sum' @ X1 @ X3
@ ^ [Y0: X1] :
( 'const/iterate/sum' @ X0 @ X4
@ ^ [Y1: X0] : ( X2 @ Y1 @ Y0 ) ) )
= ( 'const/iterate/sum' @ X0 @ X4
@ ^ [Y0: X0] : ( 'const/iterate/sum' @ X1 @ X3 @ ( X2 @ Y0 ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] : ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f10,plain,
! [X1: 'type/nums/num',X0: 'type/nums/num'] :
( ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) )
= $true ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
! [X1: $tType,X0: $tType,X4: X0 > $o,X2: X0 > X1 > 'type/realax/real',X3: X1 > $o] :
( ( ( 'const/iterate/sum' @ X1 @ X3
@ ^ [Y0: X1] :
( 'const/iterate/sum' @ X0 @ X4
@ ^ [Y1: X0] : ( X2 @ Y1 @ Y0 ) ) )
= ( 'const/iterate/sum' @ X0 @ X4
@ ^ [Y0: X0] : ( 'const/iterate/sum' @ X1 @ X3 @ ( X2 @ Y0 ) ) ) )
| ( $true
!= ( 'const/sets/FINITE' @ X0 @ X4 ) )
| ( $true
!= ( 'const/sets/FINITE' @ X1 @ X3 ) ) ),
inference(ennf_transformation,[],[f8]) ).
thf(f12,plain,
! [X1: $tType,X0: $tType,X3: X1 > $o,X2: X0 > X1 > 'type/realax/real',X4: X0 > $o] :
( ( $true
!= ( 'const/sets/FINITE' @ X1 @ X3 ) )
| ( ( 'const/iterate/sum' @ X1 @ X3
@ ^ [Y0: X1] :
( 'const/iterate/sum' @ X0 @ X4
@ ^ [Y1: X0] : ( X2 @ Y1 @ Y0 ) ) )
= ( 'const/iterate/sum' @ X0 @ X4
@ ^ [Y0: X0] : ( 'const/iterate/sum' @ X1 @ X3 @ ( X2 @ Y0 ) ) ) )
| ( $true
!= ( 'const/sets/FINITE' @ X0 @ X4 ) ) ),
inference(flattening,[],[f11]) ).
thf(f13,plain,
? [X2: 'type/nums/num',X1: 'type/nums/num',X4: 'type/nums/num',X0: 'type/nums/num',X3: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X4 ) @ ( X3 @ Y0 ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X4 )
@ ^ [Y0: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X2 )
@ ^ [Y1: 'type/nums/num'] : ( X3 @ Y1 @ Y0 ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
thf(f14,plain,
? [X0: 'type/nums/num',X1: 'type/nums/num',X2: 'type/nums/num',X3: 'type/nums/num',X4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X3 @ X0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 ) @ ( X4 @ Y0 ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X2 )
@ ^ [Y0: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X3 @ X0 )
@ ^ [Y1: 'type/nums/num'] : ( X4 @ Y1 @ Y0 ) ) ) ),
inference(rectify,[],[f13]) ).
thf(f15,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK1 @ sK2 ) @ ( sK4 @ Y0 ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK1 @ sK2 )
@ ^ [Y0: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK0 )
@ ^ [Y1: 'type/nums/num'] : ( sK4 @ Y1 @ Y0 ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f14]) ).
thf(f16,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( $true
= ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X0 ) ) ),
inference(rectify,[],[f10]) ).
thf(f17,plain,
! [X0: $tType,X1: $tType,X2: X0 > $o,X3: X1 > X0 > 'type/realax/real',X4: X1 > $o] :
( ( $true
!= ( 'const/sets/FINITE' @ X0 @ X2 ) )
| ( ( 'const/iterate/sum' @ X1 @ X4
@ ^ [Y0: X1] : ( 'const/iterate/sum' @ X0 @ X2 @ ( X3 @ Y0 ) ) )
= ( 'const/iterate/sum' @ X0 @ X2
@ ^ [Y0: X0] :
( 'const/iterate/sum' @ X1 @ X4
@ ^ [Y1: X1] : ( X3 @ Y1 @ Y0 ) ) ) )
| ( ( 'const/sets/FINITE' @ X1 @ X4 )
!= $true ) ),
inference(rectify,[],[f12]) ).
thf(f18,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK1 @ sK2 ) @ ( sK4 @ Y0 ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK1 @ sK2 )
@ ^ [Y0: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK0 )
@ ^ [Y1: 'type/nums/num'] : ( sK4 @ Y1 @ Y0 ) ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f19,plain,
! [X0: 'type/nums/num',X1: 'type/nums/num'] :
( $true
= ( 'const/sets/FINITE' @ 'type/nums/num' @ ( 'const/iterate/..' @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f20,plain,
! [X1: $tType,X0: $tType,X2: X0 > $o,X3: X1 > X0 > 'type/realax/real',X4: X1 > $o] :
( ( $true
!= ( 'const/sets/FINITE' @ X0 @ X2 ) )
| ( ( 'const/sets/FINITE' @ X1 @ X4 )
!= $true )
| ( ( 'const/iterate/sum' @ X1 @ X4
@ ^ [Y0: X1] : ( 'const/iterate/sum' @ X0 @ X2 @ ( X3 @ Y0 ) ) )
= ( 'const/iterate/sum' @ X0 @ X2
@ ^ [Y0: X0] :
( 'const/iterate/sum' @ X1 @ X4
@ ^ [Y1: X1] : ( X3 @ Y1 @ Y0 ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f32,plain,
! [X2: 'type/nums/num',X3: 'type/nums/num',X0: 'type/nums/num',X1: 'type/nums/num',X4: 'type/nums/num' > 'type/nums/num' > 'type/realax/real'] :
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 )
@ ^ [Y0: 'type/nums/num'] :
( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [Y1: 'type/nums/num'] : ( X4 @ Y1 @ Y0 ) ) )
= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X2 @ X3 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ X0 @ X1 ) @ ( X4 @ Y0 ) ) ) ),
inference(unit_resulting_resolution,[],[f20,f19,f19]) ).
thf(f37,plain,
( ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK1 @ sK2 ) @ ( sK4 @ Y0 ) ) )
!= ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK3 @ sK0 )
@ ^ [Y0: 'type/nums/num'] : ( 'const/iterate/sum' @ 'type/nums/num' @ ( 'const/iterate/..' @ sK1 @ sK2 ) @ ( sK4 @ Y0 ) ) ) ),
inference(backward_demodulation,[],[f18,f32]) ).
thf(f38,plain,
$false,
inference(trivial_inequality_removal,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA112^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 17:45:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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
% 0.20/0.32 % (3873089)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.32 % (3873094)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4282568386:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.32 % (3873094)Refutation not found, incomplete strategy
% 0.20/0.32 % (3873094)------------------------------
% 0.20/0.32 % (3873094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873094)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873094)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.32 % (3873094)Time elapsed: 0.001 s
% 0.20/0.32 % (3873094)Peak memory usage: 12 MB
% 0.20/0.32 % (3873094)Instructions burned: 2 (million)
% 0.20/0.32 % (3873094)------------------------------
% 0.20/0.32 % (3873094)------------------------------
% 0.20/0.32 % (3873100)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.32 % (3873100)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
% 0.20/0.32 % (3873096)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3158953664:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.32 % (3873095)lrs+10_16_si=on:nwc=1.5:random_seed=2295798851:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.32 % (3873098)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1498791904:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.32 % (3873097)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=689720839: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)
% 0.20/0.32 % (3873100)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=3375686732:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.32 % (3873096)Refutation not found, incomplete strategy
% 0.20/0.32 % (3873096)------------------------------
% 0.20/0.32 % (3873096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873096)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873096)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.32 % (3873096)Time elapsed: 0.002 s
% 0.20/0.32 % (3873096)Peak memory usage: 12 MB
% 0.20/0.32 % (3873096)Instructions burned: 2 (million)
% 0.20/0.32 % (3873098)Refutation not found, incomplete strategy
% 0.20/0.32 % (3873098)------------------------------
% 0.20/0.32 % (3873098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873098)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873098)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.32 % (3873098)Time elapsed: 0.002 s
% 0.20/0.32 % (3873098)Peak memory usage: 12 MB
% 0.20/0.32 % (3873098)Instructions burned: 2 (million)
% 0.20/0.32 % (3873096)------------------------------
% 0.20/0.32 % (3873096)------------------------------
% 0.20/0.32 % (3873097)Refutation not found, incomplete strategy
% 0.20/0.32 % (3873097)------------------------------
% 0.20/0.32 % (3873097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873097)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873097)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.32 % (3873097)Time elapsed: 0.002 s
% 0.20/0.32 % (3873097)Peak memory usage: 12 MB
% 0.20/0.32 % (3873097)Instructions burned: 3 (million)
% 0.20/0.32 % (3873098)------------------------------
% 0.20/0.32 % (3873098)------------------------------
% 0.20/0.32 % (3873100)Refutation not found, incomplete strategy
% 0.20/0.32 % (3873100)------------------------------
% 0.20/0.32 % (3873100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873100)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873100)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.32 % (3873100)Time elapsed: 0.002 s
% 0.20/0.32 % (3873100)Peak memory usage: 12 MB
% 0.20/0.32 % (3873100)Instructions burned: 3 (million)
% 0.20/0.32 % (3873097)------------------------------
% 0.20/0.32 % (3873097)------------------------------
% 0.20/0.32 % (3873099)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=736107502:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.32 % (3873100)------------------------------
% 0.20/0.32 % (3873100)------------------------------
% 0.20/0.32 % (3873095)Instruction limit reached!
% 0.20/0.32 % (3873095)------------------------------
% 0.20/0.32 % (3873095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873095)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873095)Termination reason: Instruction limit
% 0.20/0.32 % (3873095)Termination phase: Saturation
% 0.20/0.32 % (3873095)Time elapsed: 0.011 s
% 0.20/0.32 % (3873095)Peak memory usage: 12 MB
% 0.20/0.32 % (3873095)Instructions burned: 18 (million)
% 0.20/0.32 % (3873102)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=963585705:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.32 % (3873102)Instruction limit reached!
% 0.20/0.32 % (3873102)------------------------------
% 0.20/0.32 % (3873102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873102)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873102)Termination reason: Instruction limit
% 0.20/0.32 % (3873102)Termination phase: Saturation
% 0.20/0.32 % (3873102)Time elapsed: 0.002 s
% 0.20/0.32 % (3873102)Peak memory usage: 12 MB
% 0.20/0.32 % (3873102)Instructions burned: 5 (million)
% 0.20/0.32 % (3873112)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
% 0.20/0.32 % (3873112)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.32 % (3873110)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.32 % (3873109)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=525649891:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.32 % (3873111)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4241550449:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.32 % (3873115)lrs+10_1_si=on:cs=on:random_seed=3396557795:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.20/0.32 % (3873112)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=908233276:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.32 % (3873110)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2392583240:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.32 % (3873115)Instruction limit reached!
% 0.20/0.32 % (3873115)------------------------------
% 0.20/0.32 % (3873115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873115)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873115)Termination reason: Instruction limit
% 0.20/0.32 % (3873115)Termination phase: Saturation
% 0.20/0.32 % (3873115)Time elapsed: 0.002 s
% 0.20/0.32 % (3873115)Peak memory usage: 12 MB
% 0.20/0.32 % (3873115)Instructions burned: 8 (million)
% 0.20/0.32 % (3873111) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3873089-3873111"...
% 0.20/0.32 % (3873109)Instruction limit reached!
% 0.20/0.32 % (3873109)------------------------------
% 0.20/0.32 % (3873109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873109)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873109)Termination reason: Instruction limit
% 0.20/0.32 % (3873109)Termination phase: Saturation
% 0.20/0.32 % (3873109)Time elapsed: 0.004 s
% 0.20/0.32 % (3873109)Peak memory usage: 12 MB
% 0.20/0.32 % (3873109)Instructions burned: 6 (million)
% 0.20/0.32 % (3873112)Refutation not found, incomplete strategy
% 0.20/0.32 % (3873112)------------------------------
% 0.20/0.32 % (3873112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873112)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873112)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.32 % (3873112)Time elapsed: 0.004 s
% 0.20/0.32 % (3873112)Peak memory usage: 12 MB
% 0.20/0.32 % (3873112)Instructions burned: 8 (million)
% 0.20/0.32 % (3873111)...printing done.
% 0.20/0.32 % (3873114)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=1286143008:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.32 % (3873112)------------------------------
% 0.20/0.32 % (3873112)------------------------------
% 0.20/0.32 % (3873110)Instruction limit reached!
% 0.20/0.32 % (3873110)------------------------------
% 0.20/0.32 % (3873110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873110)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873110)Termination reason: Instruction limit
% 0.20/0.32 % (3873110)Termination phase: Saturation
% 0.20/0.32 % (3873110)Time elapsed: 0.005 s
% 0.20/0.32 % (3873110)Peak memory usage: 12 MB
% 0.20/0.32 % (3873110)Instructions burned: 8 (million)
% 0.20/0.32 % (3873111)Refutation found. Thanks to Tanya!
% 0.20/0.32 % SZS status Theorem for theBenchmark
% 0.20/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.32 % (3873111)------------------------------
% 0.20/0.32 % (3873111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.32 % (3873111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.32 % (3873111)CaDiCaL version: 2.1.3
% 0.20/0.32 % (3873111)Termination reason: Refutation
% 0.20/0.32 % (3873111)Time elapsed: 0.004 s
% 0.20/0.32 % (3873111)Peak memory usage: 12 MB
% 0.20/0.32 % (3873111)Instructions burned: 6 (million)
% 0.20/0.32 % (3873089)Success in time 0.078 s
% 0.20/0.32 % Vampire exiting
%------------------------------------------------------------------------------