%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM926_2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 7.16s 1.87s
% Output : Refutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 31 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 44 ( 44 usr; 20 con; 0-3 aty)
% Number of variables : 30 ( 18 !; 12 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
int: $tType ).
tff(type_def_6,type,
nat: $tType ).
tff(type_def_7,type,
real: $tType ).
tff(type_def_8,type,
product_prod_int_int: $tType ).
tff(func_def_0,type,
minus_minus_int: ( int * int ) > int ).
tff(func_def_1,type,
minus_minus_nat: ( nat * nat ) > nat ).
tff(func_def_2,type,
minus_minus_real: ( real * real ) > real ).
tff(func_def_3,type,
one_one_int: int ).
tff(func_def_4,type,
one_one_nat: nat ).
tff(func_def_5,type,
one_one_real: real ).
tff(func_def_6,type,
plus_plus_int: ( int * int ) > int ).
tff(func_def_7,type,
plus_plus_nat: ( nat * nat ) > nat ).
tff(func_def_8,type,
plus_plus_real: ( real * real ) > real ).
tff(func_def_9,type,
times_times_int: ( int * int ) > int ).
tff(func_def_10,type,
times_times_nat: ( nat * nat ) > nat ).
tff(func_def_11,type,
times_times_real: ( real * real ) > real ).
tff(func_def_12,type,
zero_zero_int: int ).
tff(func_def_13,type,
zero_zero_nat: nat ).
tff(func_def_14,type,
zero_zero_real: real ).
tff(func_def_15,type,
bit0: int > int ).
tff(func_def_16,type,
bit1: int > int ).
tff(func_def_17,type,
min: int ).
tff(func_def_18,type,
pls: int ).
tff(func_def_19,type,
number_number_of_int: int > int ).
tff(func_def_20,type,
number_number_of_nat: int > nat ).
tff(func_def_21,type,
number267125858f_real: int > real ).
tff(func_def_22,type,
power_power_int: ( int * nat ) > int ).
tff(func_def_23,type,
power_power_nat: ( nat * nat ) > nat ).
tff(func_def_24,type,
power_power_real: ( real * nat ) > real ).
tff(func_def_25,type,
product_Pair_int_int: ( int * int ) > product_prod_int_int ).
tff(func_def_26,type,
legendre: ( int * int ) > int ).
tff(func_def_27,type,
twoSqu2107342101sum2sq: product_prod_int_int > int ).
tff(func_def_28,type,
m: int ).
tff(func_def_29,type,
s1: int ).
tff(func_def_30,type,
s: int ).
tff(func_def_31,type,
t: int ).
tff(func_def_32,type,
sK0: int ).
tff(func_def_33,type,
sK1: int ).
tff(func_def_34,type,
sK2: int ).
tff(func_def_35,type,
sK3: int ).
tff(func_def_36,type,
sK4: int ).
tff(func_def_37,type,
sK5: int ).
tff(func_def_38,type,
sK6: int ).
tff(func_def_39,type,
sK7: int > int ).
tff(func_def_40,type,
sK8: int ).
tff(func_def_41,type,
sK9: ( int * int * int ) > int ).
tff(func_def_42,type,
sK10: ( int * int ) > int ).
tff(func_def_43,type,
sK11: ( real * nat ) > real ).
tff(pred_def_1,type,
zcong: ( int * int * int ) > $o ).
tff(pred_def_2,type,
zprime: int > $o ).
tff(pred_def_3,type,
ord_less_int: ( int * int ) > $o ).
tff(pred_def_4,type,
ord_less_nat: ( nat * nat ) > $o ).
tff(pred_def_5,type,
ord_less_real: ( real * real ) > $o ).
tff(pred_def_6,type,
ord_less_eq_int: ( int * int ) > $o ).
tff(pred_def_7,type,
ord_less_eq_nat: ( nat * nat ) > $o ).
tff(pred_def_8,type,
ord_less_eq_real: ( real * real ) > $o ).
tff(pred_def_9,type,
quadRes: ( int * int ) > $o ).
tff(pred_def_10,type,
dvd_dvd_int: ( int * int ) > $o ).
tff(pred_def_11,type,
dvd_dvd_nat: ( nat * nat ) > $o ).
tff(pred_def_12,type,
dvd_dvd_real: ( real * real ) > $o ).
tff(pred_def_13,type,
twoSqu512355103sum2sq: int > $o ).
tff(f1,axiom,
ord_less_eq_int(one_one_int,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
tff(f2,axiom,
( ( t = one_one_int )
=> ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox/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) ).
tff(f3,axiom,
( ord_less_int(one_one_int,t)
=> ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ) ),
file('/export/starexec/sandbox/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) ).
tff(f205,axiom,
! [X0: int] : ( bit0(X0) = plus_plus_int(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_204_Bit0__def) ).
tff(f252,axiom,
! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_251_Bit1__def) ).
tff(f357,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_356_Pls__def) ).
tff(f566,axiom,
! [X0: int,X1: int] :
( ord_less_eq_int(X0,X1)
=> ( ( X0 != X1 )
=> ord_less_int(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_565_order__le__neq__implies__less) ).
tff(f699,conjecture,
? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f700,negated_conjecture,
~ ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
inference(negated_conjecture,[status(cth)],[f699]) ).
tff(f701,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
| ( one_one_int != t ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f702,plain,
( ? [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) = plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) )
| ~ ord_less_int(one_one_int,t) ),
inference(ennf_transformation,[],[f3]) ).
tff(f926,plain,
! [X0: int,X1: int] :
( ord_less_int(X0,X1)
| ( X0 = X1 )
| ~ ord_less_eq_int(X0,X1) ),
inference(ennf_transformation,[],[f566]) ).
tff(f927,plain,
! [X0: int,X1: int] :
( ord_less_int(X0,X1)
| ( X0 = X1 )
| ~ ord_less_eq_int(X0,X1) ),
inference(flattening,[],[f926]) ).
tff(f1046,plain,
! [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
inference(ennf_transformation,[],[f700]) ).
tff(f1047,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
| ( one_one_int != t ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f701]) ).
tff(f1048,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
| ~ ord_less_int(one_one_int,t) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f702]) ).
tff(f1264,plain,
ord_less_eq_int(one_one_int,t),
inference(cnf_transformation,[],[f1]) ).
tff(f1265,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK1,number_number_of_nat(bit0(bit1(pls))))) )
| ( one_one_int != t ) ),
inference(cnf_transformation,[],[f1047]) ).
tff(f1266,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(bit0(bit1(pls)))),power_power_int(sK3,number_number_of_nat(bit0(bit1(pls))))) )
| ~ ord_less_int(one_one_int,t) ),
inference(cnf_transformation,[],[f1048]) ).
tff(f1538,plain,
! [X0: int] : ( bit0(X0) = plus_plus_int(X0,X0) ),
inference(cnf_transformation,[],[f205]) ).
tff(f1585,plain,
! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
inference(cnf_transformation,[],[f252]) ).
tff(f1714,plain,
pls = zero_zero_int,
inference(cnf_transformation,[],[f357]) ).
tff(f2016,plain,
! [X0: int,X1: int] :
( ~ ord_less_eq_int(X0,X1)
| ( X0 = X1 )
| ord_less_int(X0,X1) ),
inference(cnf_transformation,[],[f927]) ).
tff(f2198,plain,
! [X0: int,X1: int] : ( plus_plus_int(power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))),power_power_int(X1,number_number_of_nat(bit0(bit1(pls))))) != plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int) ),
inference(cnf_transformation,[],[f1046]) ).
tff(f2199,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int) = plus_plus_int(power_power_int(sK0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(sK1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) )
| ( one_one_int != t ) ),
inference(definition_unfolding,[],[f1265,f1538,f1538,f1585,f1714,f1538,f1585,f1714,f1538,f1585,f1714]) ).
tff(f2200,plain,
( ( plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int) = plus_plus_int(power_power_int(sK2,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(sK3,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) )
| ~ ord_less_int(one_one_int,t) ),
inference(definition_unfolding,[],[f1266,f1538,f1538,f1585,f1714,f1538,f1585,f1714,f1538,f1585,f1714]) ).
tff(f2555,plain,
! [X0: int,X1: int] : ( plus_plus_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),m),one_one_int) != plus_plus_int(power_power_int(X0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int)))),power_power_int(X1,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int),plus_plus_int(plus_plus_int(one_one_int,zero_zero_int),zero_zero_int))))) ),
inference(definition_unfolding,[],[f2198,f1538,f1585,f1714,f1538,f1585,f1714,f1538,f1538,f1585,f1714]) ).
tff(f2845,plain,
~ ord_less_int(one_one_int,t),
inference(forward_subsumption_resolution,[],[f2200,f2555]) ).
tff(f2846,plain,
one_one_int != t,
inference(forward_subsumption_resolution,[],[f2199,f2555]) ).
tff(f4110,plain,
$false,
inference(unit_resulting_resolution,[],[f2016,f2845,f2846,f1264]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM926_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n004.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 21:44:07 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.16/1.87 % (3903875)Detected formulas, will run a generic FOF schedule.
% 7.16/1.87 % (3903885)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=691663430:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.16/1.87 % (3903881)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=2439916779:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.16/1.87 % (3903886)dis-21_1_sil=8000:lcm=predicate:random_seed=1288629851: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)
% 7.16/1.87 % (3903880)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=3117644047:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.16/1.87 % (3903883)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2496038400:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.16/1.87 % (3903882)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=714556007:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.16/1.87 % (3903884)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1799139483:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.16/1.87 % (3903885)Instruction limit reached!
% 7.16/1.87 % (3903885)------------------------------
% 7.16/1.87 % (3903885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903885)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903885)Termination reason: Instruction limit
% 7.16/1.87 % (3903885)Termination phase: Saturation
% 7.16/1.87 % (3903885)Time elapsed: 0.053 s
% 7.16/1.87 % (3903885)Peak memory usage: 90 MB
% 7.16/1.87 % (3903885)Instructions burned: 139 (million)
% 7.16/1.87 % (3903883)Instruction limit reached!
% 7.16/1.87 % (3903883)------------------------------
% 7.16/1.87 % (3903883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903883)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903883)Termination reason: Instruction limit
% 7.16/1.87 % (3903883)Termination phase: Saturation
% 7.16/1.87 % (3903883)Time elapsed: 0.054 s
% 7.16/1.87 % (3903883)Peak memory usage: 90 MB
% 7.16/1.87 % (3903883)Instructions burned: 109 (million)
% 7.16/1.87 % (3903886)Instruction limit reached!
% 7.16/1.87 % (3903886)------------------------------
% 7.16/1.87 % (3903886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903886)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903886)Termination reason: Instruction limit
% 7.16/1.87 % (3903886)Termination phase: Saturation
% 7.16/1.87 % (3903886)Time elapsed: 0.069 s
% 7.16/1.87 % (3903886)Peak memory usage: 89 MB
% 7.16/1.87 % (3903886)Instructions burned: 129 (million)
% 7.16/1.87 % (3903884)Instruction limit reached!
% 7.16/1.87 % (3903884)------------------------------
% 7.16/1.87 % (3903884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903884)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903884)Termination reason: Instruction limit
% 7.16/1.87 % (3903884)Termination phase: Saturation
% 7.16/1.87 % (3903884)Time elapsed: 0.071 s
% 7.16/1.87 % (3903884)Peak memory usage: 89 MB
% 7.16/1.87 % (3903884)Instructions burned: 120 (million)
% 7.16/1.87 % (3903894)lrs+10_1_sil=8000:sp=occurrence:random_seed=4216711226:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.16/1.87 % (3903895)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2034151046:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 7.16/1.87 % (3903896)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2363864407:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.16/1.87 % (3903897)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=3364998482:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.16/1.87 % (3903894)Instruction limit reached!
% 7.16/1.87 % (3903894)------------------------------
% 7.16/1.87 % (3903894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903894)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903894)Termination reason: Instruction limit
% 7.16/1.87 % (3903894)Termination phase: Saturation
% 7.16/1.87 % (3903894)Time elapsed: 0.092 s
% 7.16/1.87 % (3903894)Peak memory usage: 91 MB
% 7.16/1.87 % (3903894)Instructions burned: 287 (million)
% 7.16/1.87 % (3903895)Instruction limit reached!
% 7.16/1.87 % (3903895)------------------------------
% 7.16/1.87 % (3903895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903895)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903895)Termination reason: Instruction limit
% 7.16/1.87 % (3903895)Termination phase: Saturation
% 7.16/1.87 % (3903895)Time elapsed: 0.088 s
% 7.16/1.87 % (3903895)Peak memory usage: 89 MB
% 7.16/1.87 % (3903895)Instructions burned: 159 (million)
% 7.16/1.87 % (3903902)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3269305250:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.16/1.87 % (3903897)Instruction limit reached!
% 7.16/1.87 % (3903897)------------------------------
% 7.16/1.87 % (3903897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903897)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903897)Termination reason: Instruction limit
% 7.16/1.87 % (3903897)Termination phase: Saturation
% 7.16/1.87 % (3903897)Time elapsed: 0.146 s
% 7.16/1.87 % (3903897)Peak memory usage: 92 MB
% 7.16/1.87 % (3903897)Instructions burned: 249 (million)
% 7.16/1.87 % (3903896)Instruction limit reached!
% 7.16/1.87 % (3903896)------------------------------
% 7.16/1.87 % (3903896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903896)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903896)Termination reason: Instruction limit
% 7.16/1.87 % (3903896)Termination phase: Saturation
% 7.16/1.87 % (3903896)Time elapsed: 0.173 s
% 7.16/1.87 % (3903896)Peak memory usage: 91 MB
% 7.16/1.87 % (3903896)Instructions burned: 326 (million)
% 7.16/1.87 % (3903902)Instruction limit reached!
% 7.16/1.87 % (3903902)------------------------------
% 7.16/1.87 % (3903902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903902)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903902)Termination reason: Instruction limit
% 7.16/1.87 % (3903902)Termination phase: Saturation
% 7.16/1.87 % (3903902)Time elapsed: 0.077 s
% 7.16/1.87 % (3903902)Peak memory usage: 91 MB
% 7.16/1.87 % (3903902)Instructions burned: 299 (million)
% 7.16/1.87 % (3903903)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=269006555:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.16/1.87 % (3903905)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=201526239:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 7.16/1.87 % (3903907)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3273084572:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 7.16/1.87 % (3903906)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1652854510:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.16/1.87 % (3903906)Refutation not found, incomplete strategy
% 7.16/1.87 % (3903906)------------------------------
% 7.16/1.87 % (3903906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903906)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903906)Termination reason: Refutation not found, incomplete strategy
% 7.16/1.87 % (3903906)Time elapsed: 0.028 s
% 7.16/1.87 % (3903906)Peak memory usage: 89 MB
% 7.16/1.87 % (3903906)Instructions burned: 59 (million)
% 7.16/1.87 % (3903907)Instruction limit reached!
% 7.16/1.87 % (3903907)------------------------------
% 7.16/1.87 % (3903907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903907)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903907)Termination reason: Instruction limit
% 7.16/1.87 % (3903907)Termination phase: Saturation
% 7.16/1.87 % (3903907)Time elapsed: 0.030 s
% 7.16/1.87 % (3903907)Peak memory usage: 90 MB
% 7.16/1.87 % (3903907)Instructions burned: 114 (million)
% 7.16/1.87 % (3903905)Instruction limit reached!
% 7.16/1.87 % (3903905)------------------------------
% 7.16/1.87 % (3903905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903905)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903905)Termination reason: Instruction limit
% 7.16/1.87 % (3903905)Termination phase: Saturation
% 7.16/1.87 % (3903905)Time elapsed: 0.060 s
% 7.16/1.87 % (3903905)Peak memory usage: 90 MB
% 7.16/1.87 % (3903905)Instructions burned: 114 (million)
% 7.16/1.87 % (3903912)lrs+10_1_sil=8000:sp=occurrence:random_seed=3223999953:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 7.16/1.87 % (3903913)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4147355032:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 7.16/1.87 % (3903906)------------------------------
% 7.16/1.87 % (3903906)------------------------------
% 7.16/1.87 % (3903881)First to succeed.
% 7.16/1.87 % (3903881)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3903875"
% 7.16/1.87 % (3903916)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=506366092:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 7.16/1.87 % (3903912)Instruction limit reached!
% 7.16/1.87 % (3903912)------------------------------
% 7.16/1.87 % (3903912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903912)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903912)Termination reason: Instruction limit
% 7.16/1.87 % (3903912)Termination phase: Saturation
% 7.16/1.87 % (3903912)Time elapsed: 0.288 s
% 7.16/1.87 % (3903912)Peak memory usage: 96 MB
% 7.16/1.87 % (3903912)Instructions burned: 908 (million)
% 7.16/1.87 % (3903913)Instruction limit reached!
% 7.16/1.87 % (3903913)------------------------------
% 7.16/1.87 % (3903913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903913)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903913)Termination reason: Instruction limit
% 7.16/1.87 % (3903913)Termination phase: Saturation
% 7.16/1.87 % (3903913)Time elapsed: 0.247 s
% 7.16/1.87 % (3903913)Peak memory usage: 93 MB
% 7.16/1.87 % (3903913)Instructions burned: 438 (million)
% 7.16/1.87 % (3903918)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3680771092:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.16/1.87 % (3903918)Instruction limit reached!
% 7.16/1.87 % (3903918)------------------------------
% 7.16/1.87 % (3903918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.16/1.87 % (3903918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.16/1.87 % (3903918)CaDiCaL version: 2.1.3
% 7.16/1.87 % (3903918)Termination reason: Instruction limit
% 7.16/1.87 % (3903918)Termination phase: Saturation
% 7.16/1.87 % (3903918)Time elapsed: 0.045 s
% 7.16/1.87 % (3903918)Peak memory usage: 91 MB
% 7.16/1.87 % (3903918)Instructions burned: 134 (million)
% 7.16/1.87 % (3903919)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3510225538:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 7.16/1.87 % (3903881)Refutation found. Thanks to Tanya!
% 7.16/1.87 % SZS status Theorem for theBenchmark
% 7.16/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 8.96/1.97 % (3903881)------------------------------
% 8.96/1.97 % (3903881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/1.97 % (3903881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/1.97 % (3903881)CaDiCaL version: 2.1.3
% 8.96/1.97 % (3903881)Termination reason: Refutation
% 8.96/1.97 % (3903881)Time elapsed: 0.829 s
% 8.96/1.97 % (3903881)Peak memory usage: 140 MB
% 8.96/1.97 % (3903881)Instructions burned: 1326 (million)
% 8.96/1.97 % (3903881)------------------------------
% 8.96/1.97 % (3903881)------------------------------
% 8.96/1.97 % (3903875)Success in time 1.237 s
% 8.96/1.97 % Vampire exiting
%------------------------------------------------------------------------------