%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM926+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 : Tue Sep 29 12:17:36 PM UTC 2026
% Result : Theorem 10.50s 2.49s
% Output : Refutation 11.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 24 unt; 2 def)
% Number of atoms : 103 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 88 ( 34 ~; 34 |; 13 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 19 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
is_int(one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Groups_Oone__class_Oone_000tc__Int__Oint) ).
fof(f25,axiom,
is_int(t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_t____) ).
fof(f26,axiom,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(f27,axiom,
( t = one_one_int
=> ? [X0,X1] :
( is_int(X0)
& is_int(X1)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(f28,axiom,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
=> ? [X0,X1] :
( is_int(X0)
& is_int(X1)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06) ).
fof(f232,axiom,
! [X0] : bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_Bit0__def) ).
fof(f279,axiom,
! [X0] : bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_Bit1__def) ).
fof(f596,axiom,
! [X0,X1] :
( ( is_int(X0)
& is_int(X1) )
=> ( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1))
=> ( X0 != X1
=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_570_order__le__neq__implies__less) ).
fof(f1230,conjecture,
? [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1231,negated_conjecture,
~ ? [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(negated_conjecture,[status(cth)],[f1230]) ).
fof(f1251,plain,
( ? [X0,X1] :
( is_int(X0)
& is_int(X1)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) )
| one_one_int != t ),
inference(ennf_transformation,[],[f27]) ).
fof(f1252,plain,
( ? [X0,X1] :
( is_int(X0)
& is_int(X1)
& hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) = hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f1544,plain,
! [X0,X1] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
| X0 = X1
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1))
| ~ is_int(X0)
| ~ is_int(X1) ),
inference(ennf_transformation,[],[f596]) ).
fof(f1545,plain,
! [X0,X1] :
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1))
| X0 = X1
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1))
| ~ is_int(X0)
| ~ is_int(X1) ),
inference(flattening,[],[f1544]) ).
fof(f2203,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(ennf_transformation,[],[f1231]) ).
fof(f2208,plain,
( ( is_int(sK3)
& is_int(sK4)
& hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK3),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK4),number_number_of_nat(bit0(bit1(pls))))) )
| one_one_int != t ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f1251]) ).
fof(f2209,plain,
( ( is_int(sK5)
& is_int(sK6)
& hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(bit0(bit1(pls))))) )
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6]),skolemize(X0,sK5),skolemize(X1,sK6)],[f1252]) ).
fof(f2594,plain,
is_int(one_one_int),
inference(cnf_transformation,[],[f1]) ).
fof(f2618,plain,
is_int(t),
inference(cnf_transformation,[],[f25]) ).
fof(f2619,plain,
hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),t)),
inference(cnf_transformation,[],[f26]) ).
fof(f2620,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK3),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK4),number_number_of_nat(bit0(bit1(pls)))))
| one_one_int != t ),
inference(cnf_transformation,[],[f2208]) ).
fof(f2623,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(bit0(bit1(pls)))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(cnf_transformation,[],[f2209]) ).
fof(f2901,plain,
! [X0] : bit0(X0) = hAPP_int_int(plus_plus_int(X0),X0),
inference(cnf_transformation,[],[f232]) ).
fof(f2948,plain,
! [X0] : bit1(X0) = hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),X0)),X0),
inference(cnf_transformation,[],[f279]) ).
fof(f3386,plain,
! [X0,X1] :
( ~ is_int(X1)
| X0 = X1
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),X1))
| ~ is_int(X0)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),X1)) ),
inference(cnf_transformation,[],[f1545]) ).
fof(f4350,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(bit0(bit1(pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(bit0(bit1(pls))))) != hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls))))),m)),one_one_int),
inference(cnf_transformation,[],[f2203]) ).
fof(f4356,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK3),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(sK4),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))
| one_one_int != t ),
inference(definition_unfolding,[],[f2620,f2901,f2901,f2948,f2901,f2948,f2901,f2948]) ).
fof(f4357,plain,
( hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int) = hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(sK5),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(sK6),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))))
| ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(definition_unfolding,[],[f2623,f2901,f2901,f2948,f2901,f2948,f2901,f2948]) ).
fof(f4964,plain,
! [X0,X1] : hAPP_int_int(plus_plus_int(hAPP_int_int(times_times_int(number_number_of_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),m)),one_one_int) != hAPP_int_int(plus_plus_int(hAPP_nat_int(power_power_int(X0),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),hAPP_nat_int(power_power_int(X1),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))),
inference(definition_unfolding,[],[f4350,f2901,f2948,f2901,f2948,f2901,f2901,f2948]) ).
fof(f5450,plain,
~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)),
inference(forward_subsumption_resolution,[],[f4357,f4964]) ).
fof(f5452,definition,
( spl44_13
<=> hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
introduced(definition,[new_symbols(definition,[spl44_13])],[avatar_definition]) ).
fof(f5453,plain,
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| spl44_13 ),
inference(avatar_component_clause,[],[f5452]) ).
fof(f5462,plain,
one_one_int != t,
inference(forward_subsumption_resolution,[],[f4356,f4964]) ).
fof(f5464,definition,
( spl44_16
<=> one_one_int = t ),
introduced(definition,[new_symbols(definition,[spl44_16])],[avatar_definition]) ).
fof(f5465,plain,
( one_one_int != t
| spl44_16 ),
inference(avatar_component_clause,[],[f5464]) ).
fof(f5549,plain,
~ spl44_13,
inference(avatar_split_clause,[],[f5450,f5452]) ).
fof(f5550,plain,
~ spl44_16,
inference(avatar_split_clause,[],[f5462,f5464]) ).
fof(f5766,plain,
! [X0] :
( ~ hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X0),t))
| t = X0
| ~ is_int(X0)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,X0),t)) ),
inference(resolution,[],[f2618,f3386]) ).
fof(f6888,plain,
( one_one_int = t
| ~ is_int(one_one_int)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t)) ),
inference(resolution,[],[f5766,f2619]) ).
fof(f6893,plain,
( ~ is_int(one_one_int)
| hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| spl44_16 ),
inference(forward_subsumption_resolution,[],[f6888,f5465]) ).
fof(f6894,plain,
( hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,one_one_int),t))
| spl44_16 ),
inference(forward_subsumption_resolution,[],[f6893,f2594]) ).
fof(f6895,plain,
( $false
| spl44_13
| spl44_16 ),
inference(forward_subsumption_resolution,[],[f6894,f5453]) ).
fof(f6896,plain,
( spl44_13
| spl44_16 ),
inference(avatar_contradiction_clause,[],[f6895]) ).
cnf(s15,plain,
~ spl44_13,
inference(sat_conversion,[],[f5549]) ).
cnf(s16,plain,
~ spl44_16,
inference(sat_conversion,[],[f5550]) ).
cnf(s26,plain,
( spl44_13
| spl44_16 ),
inference(sat_conversion,[],[f6896]) ).
cnf(s27,plain,
spl44_13,
inference(rat,[],[s26,s16]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s15,s27]) ).
fof(f6897,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM926+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n004.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 21:44:22 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.47 Running first-order theorem proving
% 0.22/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.50/2.49 % (3904581)Detected formulas, will run a generic FOF schedule.
% 10.50/2.49 % (3904691)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=192765177:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.50/2.49 % (3904693)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3488809169:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.50/2.49 % (3904696)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3121328897:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.50/2.49 % (3904695)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2096649658:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.50/2.49 % (3904694)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3607386255:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.50/2.49 % (3904692)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2215318982:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.50/2.49 % (3904697)dis-21_1_sil=8000:lcm=predicate:random_seed=1296411845:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.50/2.49 % (3904694)Instruction limit reached!
% 10.50/2.49 % (3904694)------------------------------
% 10.50/2.49 % (3904694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904694)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904694)Termination reason: Instruction limit
% 10.50/2.49 % (3904694)Termination phase: Saturation
% 10.50/2.49 % (3904694)Time elapsed: 0.057 s
% 10.50/2.49 % (3904694)Peak memory usage: 90 MB
% 10.50/2.49 % (3904694)Instructions burned: 109 (million)
% 10.50/2.49 % (3904695)Instruction limit reached!
% 10.50/2.49 % (3904695)------------------------------
% 10.50/2.49 % (3904695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904695)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904695)Termination reason: Instruction limit
% 10.50/2.49 % (3904695)Termination phase: Saturation
% 10.50/2.49 % (3904695)Time elapsed: 0.062 s
% 10.50/2.49 % (3904695)Peak memory usage: 90 MB
% 10.50/2.49 % (3904695)Instructions burned: 119 (million)
% 10.50/2.49 % (3904697)Instruction limit reached!
% 10.50/2.49 % (3904697)------------------------------
% 10.50/2.49 % (3904697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904697)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904697)Termination reason: Instruction limit
% 10.50/2.49 % (3904697)Termination phase: Saturation
% 10.50/2.49 % (3904697)Time elapsed: 0.056 s
% 10.50/2.49 % (3904697)Peak memory usage: 90 MB
% 10.50/2.49 % (3904697)Instructions burned: 130 (million)
% 10.50/2.49 % (3904696)Instruction limit reached!
% 10.50/2.49 % (3904696)------------------------------
% 10.50/2.49 % (3904696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904696)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904696)Termination reason: Instruction limit
% 10.50/2.49 % (3904696)Termination phase: Saturation
% 10.50/2.49 % (3904696)Time elapsed: 0.069 s
% 10.50/2.49 % (3904696)Peak memory usage: 91 MB
% 10.50/2.49 % (3904696)Instructions burned: 142 (million)
% 10.50/2.49 % (3904752)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2274237354:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.50/2.49 % (3904749)lrs+10_1_sil=8000:sp=occurrence:random_seed=2020077501:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.50/2.49 % (3904755)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2980412977:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 10.50/2.49 % (3904753)lrs+1011_1_sil=32000:sp=occurrence:random_seed=572282727:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.50/2.49 % (3904752)Instruction limit reached!
% 10.50/2.49 % (3904752)------------------------------
% 10.50/2.49 % (3904752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904752)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904752)Termination reason: Instruction limit
% 10.50/2.49 % (3904752)Termination phase: Saturation
% 10.50/2.49 % (3904752)Time elapsed: 0.088 s
% 10.50/2.49 % (3904752)Peak memory usage: 91 MB
% 10.50/2.49 % (3904752)Instructions burned: 158 (million)
% 10.50/2.49 % (3904755)Instruction limit reached!
% 10.50/2.49 % (3904755)------------------------------
% 10.50/2.49 % (3904755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904755)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904755)Termination reason: Instruction limit
% 10.50/2.49 % (3904755)Termination phase: Saturation
% 10.50/2.49 % (3904755)Time elapsed: 0.148 s
% 10.50/2.49 % (3904755)Peak memory usage: 92 MB
% 10.50/2.49 % (3904755)Instructions burned: 248 (million)
% 10.50/2.49 % (3904749)Instruction limit reached!
% 10.50/2.49 % (3904749)------------------------------
% 10.50/2.49 % (3904749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904749)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904749)Termination reason: Instruction limit
% 10.50/2.49 % (3904749)Termination phase: Saturation
% 10.50/2.49 % (3904749)Time elapsed: 0.167 s
% 10.50/2.49 % (3904749)Peak memory usage: 92 MB
% 10.50/2.49 % (3904749)Instructions burned: 287 (million)
% 10.50/2.49 % (3904753)Instruction limit reached!
% 10.50/2.49 % (3904753)------------------------------
% 10.50/2.49 % (3904753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904753)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904753)Termination reason: Instruction limit
% 10.50/2.49 % (3904753)Termination phase: Saturation
% 10.50/2.49 % (3904753)Time elapsed: 0.193 s
% 10.50/2.49 % (3904753)Peak memory usage: 93 MB
% 10.50/2.49 % (3904753)Instructions burned: 326 (million)
% 10.50/2.49 % (3904760)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1134340499:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 10.50/2.49 % (3904761)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1642182691:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.50/2.49 % (3904762)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3060063956:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.50/2.49 % (3904763)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2575359027:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.50/2.49 % (3904762)Instruction limit reached!
% 10.50/2.49 % (3904762)------------------------------
% 10.50/2.49 % (3904762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904762)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904762)Termination reason: Instruction limit
% 10.50/2.49 % (3904762)Termination phase: Saturation
% 10.50/2.49 % (3904762)Time elapsed: 0.052 s
% 10.50/2.49 % (3904762)Peak memory usage: 90 MB
% 10.50/2.49 % (3904762)Instructions burned: 113 (million)
% 10.50/2.49 % (3904760)Instruction limit reached!
% 10.50/2.49 % (3904760)------------------------------
% 10.50/2.49 % (3904760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904760)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904760)Termination reason: Instruction limit
% 10.50/2.49 % (3904760)Termination phase: Saturation
% 10.50/2.49 % (3904760)Time elapsed: 0.151 s
% 10.50/2.49 % (3904760)Peak memory usage: 93 MB
% 10.50/2.49 % (3904760)Instructions burned: 294 (million)
% 10.50/2.49 % (3904763)Instruction limit reached!
% 10.50/2.49 % (3904763)------------------------------
% 10.50/2.49 % (3904763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904763)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904763)Termination reason: Instruction limit
% 10.50/2.49 % (3904763)Termination phase: Saturation
% 10.50/2.49 % (3904763)Time elapsed: 0.054 s
% 10.50/2.49 % (3904763)Peak memory usage: 90 MB
% 10.50/2.49 % (3904763)Instructions burned: 128 (million)
% 10.50/2.49 % (3904768)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=512034435:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.50/2.49 % (3904769)lrs+10_1_sil=8000:sp=occurrence:random_seed=3967589111:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.50/2.49 % (3904770)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=672787343:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.50/2.49 % (3904768)Instruction limit reached!
% 10.50/2.49 % (3904768)------------------------------
% 10.50/2.49 % (3904768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904768)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904768)Termination reason: Instruction limit
% 10.50/2.49 % (3904768)Termination phase: Saturation
% 10.50/2.49 % (3904768)Time elapsed: 0.055 s
% 10.50/2.49 % (3904768)Peak memory usage: 90 MB
% 10.50/2.49 % (3904768)Instructions burned: 115 (million)
% 10.50/2.49 % (3904774)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3776601818:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.50/2.49 % (3904770)Instruction limit reached!
% 10.50/2.49 % (3904770)------------------------------
% 10.50/2.49 % (3904770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904770)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904770)Termination reason: Instruction limit
% 10.50/2.49 % (3904770)Termination phase: Saturation
% 10.50/2.49 % (3904770)Time elapsed: 0.239 s
% 10.50/2.49 % (3904770)Peak memory usage: 94 MB
% 10.50/2.49 % (3904770)Instructions burned: 438 (million)
% 10.50/2.49 % (3904776)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1115024828:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.50/2.49 % (3904692)First to succeed.
% 10.50/2.49 % (3904692)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3904581"
% 10.50/2.49 % (3904776)Instruction limit reached!
% 10.50/2.49 % (3904776)------------------------------
% 10.50/2.49 % (3904776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904776)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904776)Termination reason: Instruction limit
% 10.50/2.49 % (3904776)Termination phase: Saturation
% 10.50/2.49 % (3904776)Time elapsed: 0.066 s
% 10.50/2.49 % (3904776)Peak memory usage: 92 MB
% 10.50/2.49 % (3904776)Instructions burned: 136 (million)
% 10.50/2.49 % (3904769)Instruction limit reached!
% 10.50/2.49 % (3904769)------------------------------
% 10.50/2.49 % (3904769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.50/2.49 % (3904769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.50/2.49 % (3904769)CaDiCaL version: 2.1.3
% 10.50/2.49 % (3904769)Termination reason: Instruction limit
% 10.50/2.49 % (3904769)Termination phase: Saturation
% 10.50/2.49 % (3904769)Time elapsed: 0.543 s
% 10.50/2.49 % (3904769)Peak memory usage: 97 MB
% 10.50/2.49 % (3904769)Instructions burned: 907 (million)
% 10.50/2.49 % (3904778)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1596901621:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.50/2.49 % (3904778)Also succeeded, but the first one will report.
% 10.50/2.49 % (3904779)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3982555061:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 10.50/2.49 % (3904692)Refutation found. Thanks to Tanya!
% 10.50/2.49 % SZS status Theorem for theBenchmark
% 10.50/2.49 % SZS output start Proof for theBenchmark
% See solution above
% 11.47/2.68 % (3904692)------------------------------
% 11.47/2.68 % (3904692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.47/2.68 % (3904692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.47/2.68 % (3904692)CaDiCaL version: 2.1.3
% 11.47/2.68 % (3904692)Termination reason: Refutation
% 11.47/2.68 % (3904692)Time elapsed: 1.126 s
% 11.47/2.68 % (3904692)Peak memory usage: 149 MB
% 11.47/2.68 % (3904692)Instructions burned: 1869 (million)
% 11.47/2.68 % (3904692)------------------------------
% 11.47/2.68 % (3904692)------------------------------
% 11.47/2.68 % (3904581)Success in time 1.584 s
% 11.47/2.68 % Vampire exiting
%------------------------------------------------------------------------------