%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUN025^3 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:19:54 AM UTC 2026
% Result : Theorem 0.24s 0.32s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 48 ( 10 unt; 0 typ; 2 def)
% Number of atoms : 405 ( 160 equ; 0 cnn)
% Maximal formula atoms : 10 ( 8 avg)
% Number of connectives : 528 ( 63 ~; 50 |; 45 &; 353 @)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 102 ( 0 sgn 97 !; 5 ?; 102 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
ite: $o > $i > $i > $i ).
thf(func_def_3,type,
h: $i > $i ).
thf(func_def_5,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_8,type,
vNOT: $o > $o ).
thf(func_def_9,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(f1,conjecture,
( ( ! [X2: $i,X0: $o,X1: $i] :
( ~ X0
=> ( ( ite @ X0 @ X1 @ X2 )
= X2 ) )
& ! [X3: $i] :
( ( s @ X3 )
!= zero )
& ! [X2: $i,X0: $o,X1: $i] :
( X0
=> ( ( ite @ X0 @ X1 @ X2 )
= X1 ) )
& ! [X3: $i] :
( ( s @ X3 )
!= X3 )
& ! [X3: $i] :
( ( h @ X3 )
= ( ite @ ( X3 = zero ) @ ( s @ zero )
@ ( ite
@ ( X3
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [X4: $i > $i] :
( ( ( X4 @ ( s @ zero ) )
= zero )
& ( ( X4 @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) )
& ( ( X4 @ zero )
= ( s @ zero ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n10) ).
thf(f2,negated_conjecture,
~ ( ( ! [X2: $i,X0: $o,X1: $i] :
( ~ X0
=> ( ( ite @ X0 @ X1 @ X2 )
= X2 ) )
& ! [X3: $i] :
( ( s @ X3 )
!= zero )
& ! [X2: $i,X0: $o,X1: $i] :
( X0
=> ( ( ite @ X0 @ X1 @ X2 )
= X1 ) )
& ! [X3: $i] :
( ( s @ X3 )
!= X3 )
& ! [X3: $i] :
( ( h @ X3 )
= ( ite @ ( X3 = zero ) @ ( s @ zero )
@ ( ite
@ ( X3
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [X4: $i > $i] :
( ( ( X4 @ ( s @ zero ) )
= zero )
& ( ( X4 @ ( s @ ( s @ zero ) ) )
= ( s @ zero ) )
& ( ( X4 @ zero )
= ( s @ zero ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f3,plain,
~ ( ( ! [X0: $i,X1: $o,X2: $i] :
( ~ X1
=> ( ( ite @ X1 @ X2 @ X0 )
= X0 ) )
& ! [X3: $i] :
( ( s @ X3 )
!= zero )
& ! [X4: $i,X5: $o,X6: $i] :
( X5
=> ( ( ite @ X5 @ X6 @ X4 )
= X6 ) )
& ! [X7: $i] :
( ( s @ X7 )
!= X7 )
& ! [X8: $i] :
( ( h @ X8 )
= ( ite @ ( zero = X8 ) @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X8 )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [X9: $i > $i] :
( ( zero
= ( X9 @ ( s @ zero ) ) )
& ( ( s @ zero )
= ( X9 @ ( s @ ( s @ zero ) ) ) )
& ( ( s @ zero )
= ( X9 @ zero ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f4,plain,
~ ( ( ! [X0: $i,X1: $o,X2: $i] :
( ( $true != X1 )
=> ( ( ite @ X1 @ X2 @ X0 )
= X0 ) )
& ! [X3: $i] :
( ( s @ X3 )
!= zero )
& ! [X6: $i,X4: $i,X5: $o] :
( ( $true = X5 )
=> ( ( ite @ X5 @ X6 @ X4 )
= X6 ) )
& ! [X7: $i] :
( ( s @ X7 )
!= X7 )
& ! [X8: $i] :
( ( h @ X8 )
= ( ite @ ( zero = X8 ) @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X8 )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [X9: $i > $i] :
( ( ( s @ zero )
= ( X9 @ ( s @ ( s @ zero ) ) ) )
& ( zero
= ( X9 @ ( s @ zero ) ) )
& ( ( s @ zero )
= ( X9 @ zero ) ) ) ),
inference(fool_elimination,[],[f3]) ).
thf(f5,plain,
~ ( ( ! [X2: $i,X0: $i,X1: $o] :
( ( $true != X1 )
=> ( ( ite @ X1 @ X2 @ X0 )
= X0 ) )
& ! [X6: $i,X4: $i,X5: $o] :
( ( $true = X5 )
=> ( ( ite @ X5 @ X6 @ X4 )
= X6 ) )
& ! [X3: $i] :
( ( s @ X3 )
!= zero )
& ! [X7: $i] :
( ( s @ X7 )
!= X7 )
& ! [X8: $i] :
( ( h @ X8 )
= ( ite @ ( zero = X8 ) @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X8 )
@ zero
@ ( s @ zero ) ) ) ) )
=> ? [X9: $i > $i] :
( ( ( s @ zero )
= ( X9 @ ( s @ ( s @ zero ) ) ) )
& ( zero
= ( X9 @ ( s @ zero ) ) )
& ( ( s @ zero )
= ( X9 @ zero ) ) ) ),
inference(flattening,[],[f4]) ).
thf(f6,plain,
( ! [X9: $i > $i] :
( ( zero
!= ( X9 @ ( s @ zero ) ) )
| ( ( s @ zero )
!= ( X9 @ zero ) )
| ( ( s @ zero )
!= ( X9 @ ( s @ ( s @ zero ) ) ) ) )
& ! [X0: $i,X2: $i,X1: $o] :
( ( $true = X1 )
| ( ( ite @ X1 @ X2 @ X0 )
= X0 ) )
& ! [X6: $i,X5: $o,X4: $i] :
( ( $true != X5 )
| ( ( ite @ X5 @ X6 @ X4 )
= X6 ) )
& ! [X3: $i] :
( ( s @ X3 )
!= zero )
& ! [X7: $i] :
( ( s @ X7 )
!= X7 )
& ! [X8: $i] :
( ( h @ X8 )
= ( ite @ ( zero = X8 ) @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X8 )
@ zero
@ ( s @ zero ) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
thf(f7,plain,
( ! [X3: $i] :
( ( s @ X3 )
!= zero )
& ! [X6: $i,X5: $o,X4: $i] :
( ( $true != X5 )
| ( ( ite @ X5 @ X6 @ X4 )
= X6 ) )
& ! [X0: $i,X2: $i,X1: $o] :
( ( $true = X1 )
| ( ( ite @ X1 @ X2 @ X0 )
= X0 ) )
& ! [X8: $i] :
( ( h @ X8 )
= ( ite @ ( zero = X8 ) @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X8 )
@ zero
@ ( s @ zero ) ) ) )
& ! [X7: $i] :
( ( s @ X7 )
!= X7 )
& ! [X9: $i > $i] :
( ( zero
!= ( X9 @ ( s @ zero ) ) )
| ( ( s @ zero )
!= ( X9 @ zero ) )
| ( ( s @ zero )
!= ( X9 @ ( s @ ( s @ zero ) ) ) ) ) ),
inference(flattening,[],[f6]) ).
thf(f8,plain,
( ! [X0: $i] :
( zero
!= ( s @ X0 ) )
& ! [X1: $i,X2: $o,X3: $i] :
( ( $true != X2 )
| ( ( ite @ X2 @ X1 @ X3 )
= X1 ) )
& ! [X4: $i,X5: $i,X6: $o] :
( ( $true = X6 )
| ( ( ite @ X6 @ X5 @ X4 )
= X4 ) )
& ! [X7: $i] :
( ( ite @ ( zero = X7 ) @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X7 )
@ zero
@ ( s @ zero ) ) )
= ( h @ X7 ) )
& ! [X8: $i] :
( ( s @ X8 )
!= X8 )
& ! [X9: $i > $i] :
( ( zero
!= ( X9 @ ( s @ zero ) ) )
| ( ( s @ zero )
!= ( X9 @ zero ) )
| ( ( s @ zero )
!= ( X9 @ ( s @ ( s @ zero ) ) ) ) ) ),
inference(rectify,[],[f7]) ).
thf(f9,plain,
! [X9: $i > $i] :
( ( ( s @ zero )
!= ( X9 @ ( s @ ( s @ zero ) ) ) )
| ( zero
!= ( X9 @ ( s @ zero ) ) )
| ( ( s @ zero )
!= ( X9 @ zero ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f10,plain,
! [X8: $i] :
( ( s @ X8 )
!= X8 ),
inference(cnf_transformation,[],[f8]) ).
thf(f11,plain,
! [X7: $i] :
( ( ite @ ( zero = X7 ) @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X7 )
@ zero
@ ( s @ zero ) ) )
= ( h @ X7 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f12,plain,
! [X6: $o,X4: $i,X5: $i] :
( ( ( ite @ X6 @ X5 @ X4 )
= X4 )
| ( $true = X6 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f13,plain,
! [X2: $o,X3: $i,X1: $i] :
( ( $true != X2 )
| ( ( ite @ X2 @ X1 @ X3 )
= X1 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f14,plain,
! [X0: $i] :
( zero
!= ( s @ X0 ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f16,plain,
! [X3: $i,X1: $i] :
( ( ite @ $true @ X1 @ X3 )
= X1 ),
inference(equality_resolution,[],[f13]) ).
thf(f17,plain,
! [X7: $i] :
( ( ( zero = X7 )
= $false )
| ( ( h @ X7 )
= ( ite @ $true @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X7 )
@ zero
@ ( s @ zero ) ) ) ) ),
inference(fool_paramodulation,[],[f11]) ).
thf(f19,plain,
! [X0: $i] :
( ( ( h @ X0 )
= ( ite @ ( zero = X0 ) @ ( s @ zero ) @ ( s @ zero ) ) )
| ( $true
= ( ( s @ zero )
= X0 ) ) ),
inference(superposition,[],[f11,f12]) ).
thf(f20,plain,
! [X0: $i] :
( ( ( h @ X0 )
= ( ite
@ ( ( s @ zero )
= X0 )
@ zero
@ ( s @ zero ) ) )
| ( $true
= ( zero = X0 ) ) ),
inference(superposition,[],[f11,f12]) ).
thf(f22,plain,
! [X0: $i] :
( ( ( h @ X0 )
= ( ite
@ ( ( s @ zero )
= X0 )
@ zero
@ ( s @ zero ) ) )
| ( zero = X0 ) ),
inference(equality_proxy_clausification,[],[f20]) ).
thf(f23,plain,
! [X0: $i] :
( ( ( h @ X0 )
= ( ite @ ( zero = X0 ) @ ( s @ zero ) @ ( s @ zero ) ) )
| ( ( s @ zero )
= X0 ) ),
inference(equality_proxy_clausification,[],[f19]) ).
thf(f24,plain,
! [X7: $i] :
( ( zero != X7 )
| ( ( h @ X7 )
= ( ite @ $true @ ( s @ zero )
@ ( ite
@ ( ( s @ zero )
= X7 )
@ zero
@ ( s @ zero ) ) ) ) ),
inference(equality_proxy_clausification,[],[f17]) ).
thf(f27,plain,
! [X7: $i] :
( ( ( s @ zero )
= ( h @ X7 ) )
| ( zero != X7 ) ),
inference(forward_demodulation,[],[f24,f16]) ).
thf(f44,definition,
( spl0_1
<=> ( ( s @ zero )
= ( h @ zero ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f46,plain,
( ( ( s @ zero )
!= ( h @ zero ) )
| spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f52,definition,
( spl0_3
<=> ( zero
= ( h @ ( s @ zero ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f54,plain,
( ( zero
!= ( h @ ( s @ zero ) ) )
| spl0_3 ),
inference(avatar_component_clause,[],[f52]) ).
thf(f61,plain,
! [X0: $i] :
( ( $true
= ( ( s @ zero )
= X0 ) )
| ( zero = X0 )
| ( ( s @ zero )
= ( h @ X0 ) ) ),
inference(superposition,[],[f22,f12]) ).
thf(f68,plain,
! [X0: $i] :
( ( ( s @ zero )
= X0 )
| ( zero = X0 )
| ( ( s @ zero )
= ( h @ X0 ) ) ),
inference(equality_proxy_clausification,[],[f61]) ).
thf(f71,plain,
! [X0: $i] :
( ( ( s @ zero )
= ( h @ X0 ) )
| ( ( s @ zero )
= X0 ) ),
inference(forward_subsumption_resolution,[],[f68,f27]) ).
thf(f144,plain,
( ( ( s @ zero )
= ( s @ ( s @ zero ) ) )
| ( ( s @ zero )
!= ( h @ zero ) )
| ( zero
!= ( h @ ( s @ zero ) ) )
| ( ( s @ zero )
!= ( s @ zero ) ) ),
inference(superposition,[],[f9,f71]) ).
thf(f145,plain,
( ( ( s @ zero )
!= ( h @ zero ) )
| ( zero
!= ( h @ ( s @ zero ) ) )
| ( ( s @ zero )
= ( s @ ( s @ zero ) ) ) ),
inference(trivial_inequality_removal,[],[f144]) ).
thf(f148,plain,
( ( ( s @ zero )
!= ( h @ zero ) )
| ( zero
!= ( h @ ( s @ zero ) ) ) ),
inference(forward_subsumption_resolution,[],[f145,f10]) ).
thf(f149,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f148,f52,f44]) ).
thf(f151,plain,
( ( zero
= ( s @ zero ) )
| ( ( s @ zero )
!= ( ite @ ( zero = zero ) @ ( s @ zero ) @ ( s @ zero ) ) )
| spl0_1 ),
inference(superposition,[],[f46,f23]) ).
thf(f156,plain,
( ( ( s @ zero )
!= ( ite @ $true @ ( s @ zero ) @ ( s @ zero ) ) )
| ( zero
= ( s @ zero ) )
| spl0_1 ),
inference(boolean_simplification,[],[f151]) ).
thf(f161,plain,
( ( zero
= ( s @ zero ) )
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f156,f16]) ).
thf(f166,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f161,f14]) ).
thf(f167,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f166]) ).
thf(f169,plain,
( ( zero
= ( s @ zero ) )
| ( zero
!= ( ite
@ ( ( s @ zero )
= ( s @ zero ) )
@ zero
@ ( s @ zero ) ) )
| spl0_3 ),
inference(superposition,[],[f54,f22]) ).
thf(f174,plain,
( ( zero
= ( s @ zero ) )
| ( zero
!= ( ite @ $true @ zero @ ( s @ zero ) ) )
| spl0_3 ),
inference(boolean_simplification,[],[f169]) ).
thf(f178,plain,
( ( zero
!= ( ite @ $true @ zero @ ( s @ zero ) ) )
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f174,f14]) ).
thf(f187,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f178,f16]) ).
thf(f188,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f187]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f149]) ).
cnf(s8,plain,
spl0_1,
inference(sat_conversion,[],[f167]) ).
cnf(s11,plain,
spl0_3,
inference(sat_conversion,[],[f188]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s4,s11,s8]) ).
thf(f189,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUN025^3 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 13:06:33 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 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
% 0.24/0.32 % (730403)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.32 % (730413)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=15299111:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.24/0.32 % (730410)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3559307182:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.24/0.32 % (730409)lrs+10_16_si=on:nwc=1.5:random_seed=515716347:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.24/0.32 % (730410)Instruction limit reached!
% 0.24/0.32 % (730410)------------------------------
% 0.24/0.32 % (730410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (730410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (730410)CaDiCaL version: 2.1.3
% 0.24/0.32 % (730410)Termination reason: Instruction limit
% 0.24/0.32 % (730410)Termination phase: Saturation
% 0.24/0.32 % (730410)Time elapsed: 0.003 s
% 0.24/0.32 % (730410)Peak memory usage: 12 MB
% 0.24/0.32 % (730410)Instructions burned: 5 (million)
% 0.24/0.32 % (730411)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=2622430251: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)
% 0.24/0.32 % (730409)Instruction limit reached!
% 0.24/0.32 % (730409)------------------------------
% 0.24/0.32 % (730409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (730409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (730409)CaDiCaL version: 2.1.3
% 0.24/0.32 % (730409)Termination reason: Instruction limit
% 0.24/0.32 % (730409)Termination phase: Saturation
% 0.24/0.32 % (730409)Time elapsed: 0.012 s
% 0.24/0.32 % (730409)Peak memory usage: 12 MB
% 0.24/0.32 % (730409)Instructions burned: 18 (million)
% 0.24/0.32 % (730412)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1273146807:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.24/0.32 % (730414)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.24/0.32 % (730414)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
% 0.24/0.32 % (730413)Instruction limit reached!
% 0.24/0.32 % (730413)------------------------------
% 0.24/0.32 % (730413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (730413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (730413)CaDiCaL version: 2.1.3
% 0.24/0.32 % (730413)Termination reason: Instruction limit
% 0.24/0.32 % (730413)Termination phase: Saturation
% 0.24/0.32 % (730413)Time elapsed: 0.023 s
% 0.24/0.32 % (730413)Peak memory usage: 12 MB
% 0.24/0.32 % (730413)Instructions burned: 78 (million)
% 0.24/0.32 % (730408)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2183442404:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.24/0.32 % (730412)Refutation not found, incomplete strategy
% 0.24/0.32 % (730412)------------------------------
% 0.24/0.32 % (730412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (730412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (730412)CaDiCaL version: 2.1.3
% 0.24/0.32 % (730412)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.32 % (730412)Time elapsed: 0.006 s
% 0.24/0.32 % (730412)Peak memory usage: 12 MB
% 0.24/0.32 % (730412)Instructions burned: 5 (million)
% 0.24/0.32 % (730412)------------------------------
% 0.24/0.32 % (730412)------------------------------
% 0.24/0.32 % (730414)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=2947912276:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.24/0.32 % (730418)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3599426903:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.24/0.32 % (730411) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-730403-730411"...
% 0.24/0.32 % (730418)Instruction limit reached!
% 0.24/0.32 % (730418)------------------------------
% 0.24/0.32 % (730418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (730418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (730418)CaDiCaL version: 2.1.3
% 0.24/0.32 % (730418)Termination reason: Instruction limit
% 0.24/0.32 % (730418)Termination phase: Saturation
% 0.24/0.32 % (730418)Time elapsed: 0.002 s
% 0.24/0.32 % (730418)Peak memory usage: 12 MB
% 0.24/0.32 % (730418)Instructions burned: 2 (million)
% 0.24/0.32 % (730422)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.24/0.32 % (730411)...printing done.
% 0.24/0.32 % (730408)Refutation not found, incomplete strategy
% 0.24/0.32 % (730408)------------------------------
% 0.24/0.32 % (730408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (730408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (730408)CaDiCaL version: 2.1.3
% 0.24/0.32 % (730408)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.32 % (730408)Time elapsed: 0.010 s
% 0.24/0.32 % (730408)Peak memory usage: 12 MB
% 0.24/0.32 % (730408)Instructions burned: 5 (million)
% 0.24/0.32 % (730422)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=67069123:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.24/0.32 % (730408)------------------------------
% 0.24/0.32 % (730408)------------------------------
% 0.24/0.32 % (730422)Instruction limit reached!
% 0.24/0.32 % (730422)------------------------------
% 0.24/0.32 % (730422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (730422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (730422)CaDiCaL version: 2.1.3
% 0.24/0.32 % (730422)Termination reason: Instruction limit
% 0.24/0.32 % (730422)Termination phase: Saturation
% 0.24/0.32 % (730422)Time elapsed: 0.002 s
% 0.24/0.32 % (730422)Peak memory usage: 12 MB
% 0.24/0.32 % (730422)Instructions burned: 7 (million)
% 0.24/0.32 % (730411)Refutation found. Thanks to Tanya!
% 0.24/0.32 % SZS status Theorem for theBenchmark
% 0.24/0.32 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.33 % (730411)------------------------------
% 0.24/0.33 % (730411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.33 % (730411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.33 % (730411)CaDiCaL version: 2.1.3
% 0.24/0.33 % (730411)Termination reason: Refutation
% 0.24/0.33 % (730411)Time elapsed: 0.017 s
% 0.24/0.33 % (730411)Peak memory usage: 13 MB
% 0.24/0.33 % (730411)Instructions burned: 16 (million)
% 0.24/0.33 % (730403)Success in time 0.065 s
% 0.24/0.33 % Vampire exiting
%------------------------------------------------------------------------------