%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP074^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:08:13 AM UTC 2026
% Result : Theorem 0.42s 0.45s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 82 ( 6 ~; 0 |; 0 &; 76 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 48 usr; 5 con; 0-4 aty)
% Number of variables : 14 ( 8 ^; 6 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_HF_Mirabelle_hf: $tType ).
thf(type_def_6,type,
hF_Mirabelle_hf: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
minus_1232880740lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_1,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_2,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(func_def_3,type,
zero_zero_nat: nat ).
thf(func_def_4,type,
hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_5,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_6,type,
hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_7,type,
hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_8,type,
hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_9,type,
hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_10,type,
hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_11,type,
hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).
thf(func_def_12,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_13,type,
hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_14,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_15,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_16,type,
hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_17,type,
hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_18,type,
inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_19,type,
inf_inf_nat: nat > nat > nat ).
thf(func_def_20,type,
sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_21,type,
sup_sup_nat: nat > nat > nat ).
thf(func_def_22,type,
semiri1382578993at_nat: nat > nat ).
thf(func_def_23,type,
ord_le976219883lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_24,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_25,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_26,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_27,type,
x: hF_Mirabelle_hf ).
thf(func_def_28,type,
y: hF_Mirabelle_hf ).
thf(func_def_30,type,
vAND: $o > $o > $o ).
thf(func_def_33,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_34,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_36,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_37,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_38,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_39,type,
vIMP: $o > $o > $o ).
thf(func_def_40,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_41,type,
vOR: $o > $o > $o ).
thf(func_def_42,type,
vNOT: $o > $o ).
thf(func_def_43,type,
sK0: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_44,type,
sK1: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_45,type,
sK2: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_46,type,
sK3: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_47,type,
sK4: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_48,type,
sK5: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_49,type,
sK6: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(f15,axiom,
( hF_Mirabelle_hpair
= ( ^ [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X0 @ ( hF_Mirabelle_hinsert @ X0 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X0 @ ( hF_Mirabelle_hinsert @ X1 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_14_hpair__def_H) ).
thf(f19,axiom,
! [X1: hF_Mirabelle_hf,X0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X0 @ X1 )
!= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_hinsert__nonempty) ).
thf(f344,conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f345,negated_conjecture,
~ ( ( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ) ),
inference(negated_conjecture,[status(cth)],[f344]) ).
thf(f620,plain,
( hF_Mirabelle_hpair
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f753,plain,
( zero_z189798548lle_hf
= ( hF_Mirabelle_hpair @ x @ y ) ),
inference(flattening,[],[f345]) ).
thf(f757,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( zero_z189798548lle_hf
!= ( hF_Mirabelle_hinsert @ X1 @ X0 ) ),
inference(rectify,[],[f19]) ).
thf(f777,plain,
( hF_Mirabelle_hpair
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
inference(cnf_transformation,[],[f620]) ).
thf(f797,plain,
( zero_z189798548lle_hf
= ( hF_Mirabelle_hpair @ x @ y ) ),
inference(cnf_transformation,[],[f753]) ).
thf(f799,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( zero_z189798548lle_hf
!= ( hF_Mirabelle_hinsert @ X1 @ X0 ) ),
inference(cnf_transformation,[],[f757]) ).
thf(f813,plain,
( zero_z189798548lle_hf
= ( ^ [Y0: hF_Mirabelle_hf,Y1: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y0 @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ Y0 @ ( hF_Mirabelle_hinsert @ Y1 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) )
@ x
@ y ) ),
inference(definition_unfolding,[],[f797,f777]) ).
thf(f822,plain,
( zero_z189798548lle_hf
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ x @ ( hF_Mirabelle_hinsert @ x @ zero_z189798548lle_hf ) ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ x @ ( hF_Mirabelle_hinsert @ y @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ),
inference(beta-eta_normalization,[],[f813]) ).
thf(f823,plain,
$false,
inference(forward_subsumption_resolution,[],[f822,f799]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP074^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n011.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 19:47:31 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.20/0.28 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
% 0.42/0.44 % (553901)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.42/0.44 % (553906)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3162713375:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.42/0.44 % (553907)lrs+10_16_si=on:nwc=1.5:random_seed=3913004604:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.42/0.44 % (553910)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=559193263:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.42/0.44 % (553908)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=941117149:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.42/0.44 % (553908)Instruction limit reached!
% 0.42/0.44 % (553908)------------------------------
% 0.42/0.44 % (553908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.44 % (553908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.44 % (553908)CaDiCaL version: 2.1.3
% 0.42/0.44 % (553908)Termination reason: Instruction limit
% 0.42/0.44 % (553908)Termination phase: shuffling
% 0.42/0.44 % (553908)Time elapsed: 0.003 s
% 0.42/0.44 % (553908)Peak memory usage: 10 MB
% 0.42/0.44 % (553908)Instructions burned: 6 (million)
% 0.42/0.44 % (553911)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3704691921:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.42/0.44 % (553909)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=523353175: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)
% 0.42/0.44 % (553907)Instruction limit reached!
% 0.42/0.44 % (553907)------------------------------
% 0.42/0.44 % (553907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.44 % (553907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.44 % (553907)CaDiCaL version: 2.1.3
% 0.42/0.44 % (553907)Termination reason: Instruction limit
% 0.42/0.44 % (553907)Termination phase: Property scanning
% 0.42/0.44 % (553907)Time elapsed: 0.008 s
% 0.42/0.44 % (553907)Peak memory usage: 10 MB
% 0.42/0.44 % (553907)Instructions burned: 19 (million)
% 0.42/0.44 % (553912)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.42/0.44 % (553912)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
% 0.42/0.44 % (553912)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=1135839784:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.42/0.44 % (553910)Instruction limit reached!
% 0.42/0.44 % (553910)------------------------------
% 0.42/0.44 % (553910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.44 % (553910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.44 % (553910)CaDiCaL version: 2.1.3
% 0.42/0.44 % (553910)Termination reason: Instruction limit
% 0.42/0.44 % (553910)Termination phase: Preprocessing 1
% 0.42/0.44 % (553910)Time elapsed: 0.018 s
% 0.42/0.44 % (553910)Peak memory usage: 10 MB
% 0.42/0.44 % (553910)Instructions burned: 26 (million)
% 0.42/0.44 % (553917)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2550420186:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.42/0.44 % (553920)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=33500314:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.42/0.44 % (553917)Instruction limit reached!
% 0.42/0.44 % (553917)------------------------------
% 0.42/0.44 % (553917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.44 % (553917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.44 % (553917)CaDiCaL version: 2.1.3
% 0.42/0.44 % (553917)Termination reason: Instruction limit
% 0.42/0.44 % (553917)Termination phase: shuffling
% 0.42/0.44 % (553917)Time elapsed: 0.003 s
% 0.42/0.44 % (553917)Peak memory usage: 10 MB
% 0.42/0.44 % (553917)Instructions burned: 6 (million)
% 0.42/0.44 % (553922)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.42/0.45 % (553920)Instruction limit reached!
% 0.42/0.45 % (553920)------------------------------
% 0.42/0.45 % (553920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553920)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553920)Termination reason: Instruction limit
% 0.42/0.45 % (553920)Termination phase: shuffling
% 0.42/0.45 % (553920)Time elapsed: 0.004 s
% 0.42/0.45 % (553920)Peak memory usage: 10 MB
% 0.42/0.45 % (553920)Instructions burned: 8 (million)
% 0.42/0.45 % (553911)Instruction limit reached!
% 0.42/0.45 % (553911)------------------------------
% 0.42/0.45 % (553911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553911)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553911)Termination reason: Instruction limit
% 0.42/0.45 % (553911)Termination phase: Property scanning
% 0.42/0.45 % (553911)Time elapsed: 0.033 s
% 0.42/0.45 % (553911)Peak memory usage: 12 MB
% 0.42/0.45 % (553922)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=513870610:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.42/0.45 % (553911)Instructions burned: 76 (million)
% 0.42/0.45 % (553906)Instruction limit reached!
% 0.42/0.45 % (553906)------------------------------
% 0.42/0.45 % (553906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553906)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553906)Termination reason: Instruction limit
% 0.42/0.45 % (553906)Termination phase: Property scanning
% 0.42/0.45 % (553906)Time elapsed: 0.038 s
% 0.42/0.45 % (553906)Peak memory usage: 12 MB
% 0.42/0.45 % (553906)Instructions burned: 89 (million)
% 0.42/0.45 % (553922)Instruction limit reached!
% 0.42/0.45 % (553922)------------------------------
% 0.42/0.45 % (553922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553922)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553922)Termination reason: Instruction limit
% 0.42/0.45 % (553922)Termination phase: shuffling
% 0.42/0.45 % (553922)Time elapsed: 0.003 s
% 0.42/0.45 % (553922)Peak memory usage: 10 MB
% 0.42/0.45 % (553922)Instructions burned: 7 (million)
% 0.42/0.45 % (553927)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
% 0.42/0.45 % (553927)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.42/0.45 % (553928)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=2131281093:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.42/0.45 % (553929)lrs+10_1_si=on:cs=on:random_seed=364021283:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.42/0.45 % (553927)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3398010805:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.42/0.45 % (553925)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2234480876:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.42/0.45 % (553929)Instruction limit reached!
% 0.42/0.45 % (553929)------------------------------
% 0.42/0.45 % (553929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553929)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553929)Termination reason: Instruction limit
% 0.42/0.45 % (553929)Termination phase: shuffling
% 0.42/0.45 % (553929)Time elapsed: 0.004 s
% 0.42/0.45 % (553929)Peak memory usage: 10 MB
% 0.42/0.45 % (553929)Instructions burned: 8 (million)
% 0.42/0.45 % (553930)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.42/0.45 % (553927)Instruction limit reached!
% 0.42/0.45 % (553927)------------------------------
% 0.42/0.45 % (553927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553927)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553927)Termination reason: Instruction limit
% 0.42/0.45 % (553927)Termination phase: shuffling
% 0.42/0.45 % (553927)Time elapsed: 0.013 s
% 0.42/0.45 % (553927)Peak memory usage: 10 MB
% 0.42/0.45 % (553927)Instructions burned: 29 (million)
% 0.42/0.45 % (553925)Instruction limit reached!
% 0.42/0.45 % (553925)------------------------------
% 0.42/0.45 % (553925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553925)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553925)Termination reason: Instruction limit
% 0.42/0.45 % (553925)Termination phase: shuffling
% 0.42/0.45 % (553925)Time elapsed: 0.013 s
% 0.42/0.45 % (553925)Peak memory usage: 10 MB
% 0.42/0.45 % (553925)Instructions burned: 12 (million)
% 0.42/0.45 % (553930)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=1831187522:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.42/0.45 % (553930)Instruction limit reached!
% 0.42/0.45 % (553930)------------------------------
% 0.42/0.45 % (553930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553930)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553930)Termination reason: Instruction limit
% 0.42/0.45 % (553930)Termination phase: shuffling
% 0.42/0.45 % (553930)Time elapsed: 0.002 s
% 0.42/0.45 % (553930)Peak memory usage: 10 MB
% 0.42/0.45 % (553930)Instructions burned: 4 (million)
% 0.42/0.45 % (553935)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2071894134:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.42/0.45 % (553936)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=96963860:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.42/0.45 % (553937)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4032740102:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.42/0.45 % (553928)Instruction limit reached!
% 0.42/0.45 % (553928)------------------------------
% 0.42/0.45 % (553928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553928)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553928)Termination reason: Instruction limit
% 0.42/0.45 % (553928)Termination phase: Function definition elimination
% 0.42/0.45 % (553928)Time elapsed: 0.036 s
% 0.42/0.45 % (553928)Peak memory usage: 11 MB
% 0.42/0.45 % (553928)Instructions burned: 88 (million)
% 0.42/0.45 % (553939)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1710879763:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.42/0.45 % (553935)Instruction limit reached!
% 0.42/0.45 % (553935)------------------------------
% 0.42/0.45 % (553935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553935)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553935)Termination reason: Instruction limit
% 0.42/0.45 % (553935)Termination phase: Preprocessing 3
% 0.42/0.45 % (553935)Time elapsed: 0.017 s
% 0.42/0.45 % (553935)Peak memory usage: 11 MB
% 0.42/0.45 % (553935)Instructions burned: 38 (million)
% 0.42/0.45 % (553939)Instruction limit reached!
% 0.42/0.45 % (553939)------------------------------
% 0.42/0.45 % (553939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553939)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553939)Termination reason: Instruction limit
% 0.42/0.45 % (553939)Termination phase: Property scanning
% 0.42/0.45 % (553939)Time elapsed: 0.006 s
% 0.42/0.45 % (553939)Peak memory usage: 10 MB
% 0.42/0.45 % (553939)Instructions burned: 15 (million)
% 0.42/0.45 % (553937)Instruction limit reached!
% 0.42/0.45 % (553937)------------------------------
% 0.42/0.45 % (553937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553937)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553937)Termination reason: Instruction limit
% 0.42/0.45 % (553937)Termination phase: SInE selection
% 0.42/0.45 % (553937)Time elapsed: 0.011 s
% 0.42/0.45 % (553937)Peak memory usage: 10 MB
% 0.42/0.45 % (553937)Instructions burned: 25 (million)
% 0.42/0.45 % (553936) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-553901-553936"...
% 0.42/0.45 % (553936)...printing done.
% 0.42/0.45 % (553936)Refutation found. Thanks to Tanya!
% 0.42/0.45 % SZS status Theorem for theBenchmark
% 0.42/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.42/0.45 % (553936)------------------------------
% 0.42/0.45 % (553936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.45 % (553936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.45 % (553936)CaDiCaL version: 2.1.3
% 0.42/0.45 % (553936)Termination reason: Refutation
% 0.42/0.45 % (553936)Time elapsed: 0.018 s
% 0.42/0.45 % (553936)Peak memory usage: 13 MB
% 0.42/0.45 % (553936)Instructions burned: 38 (million)
% 0.42/0.45 % (553901)Success in time 0.162 s
% 0.42/0.45 % Vampire exiting
%------------------------------------------------------------------------------