%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM924_2 : 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 : n009.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 12:17:29 PM UTC 2026
% Result : Theorem 7.03s 1.84s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 19
% Syntax : Number of formulae : 95 ( 91 unt; 0 typ; 0 def)
% Number of atoms : 101 ( 68 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 4 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 16 con; 0-3 aty)
% Number of variables : 59 ( 59 !; 0 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
int: $tType ).
tff(type_def_6,type,
nat: $tType ).
tff(type_def_7,type,
real: $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,
legendre: ( int * int ) > int ).
tff(func_def_26,type,
m: int ).
tff(func_def_27,type,
s1: int ).
tff(func_def_28,type,
s: int ).
tff(func_def_29,type,
t: int ).
tff(func_def_30,type,
sK0: int ).
tff(func_def_31,type,
sK1: int ).
tff(func_def_32,type,
sK2: int ).
tff(func_def_33,type,
sK3: int > int ).
tff(func_def_34,type,
sK4: int ).
tff(func_def_35,type,
sK5: ( int * int * int ) > int ).
tff(func_def_36,type,
sK6: ( int * int ) > int ).
tff(func_def_37,type,
sK7: ( 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(f3,axiom,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096) ).
tff(f4,axiom,
plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int) = times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_t) ).
tff(f35,axiom,
! [X0: int] : ( number_number_of_int(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_number__of__is__id) ).
tff(f171,axiom,
pls = zero_zero_int,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_Pls__def) ).
tff(f181,axiom,
! [X0: int] : ( bit0(X0) = plus_plus_int(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_180_Bit0__def) ).
tff(f186,axiom,
! [X0: int] : ( times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X0)) = number_number_of_int(bit0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_185_double__number__of__Bit0) ).
tff(f235,axiom,
! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_234_Bit1__def) ).
tff(f323,axiom,
! [X0: int,X1: int,X2: int] : ( times_times_int(X0,times_times_int(X1,X2)) = times_times_int(X1,times_times_int(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J) ).
tff(f326,axiom,
! [X0: int,X1: int] : ( times_times_int(X0,X1) = times_times_int(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J) ).
tff(f329,axiom,
! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
tff(f332,axiom,
! [X0: int,X1: int,X2: int] : ( plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(X1,plus_plus_int(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_331_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J) ).
tff(f338,axiom,
! [X0: int,X1: int,X2: int] : ( plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J) ).
tff(f363,axiom,
! [X0: int] : ( times_times_int(X0,zero_zero_int) = zero_zero_int ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_362_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J) ).
tff(f366,axiom,
! [X0: int] : ( plus_plus_int(zero_zero_int,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_365_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J) ).
tff(f372,axiom,
! [X0: int,X1: int] :
( ( X0 = plus_plus_int(X0,X1) )
<=> ( X1 = zero_zero_int ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_371_add__0__iff) ).
tff(f411,axiom,
! [X0: int] : ( plus_plus_int(X0,X0) = times_times_int(plus_plus_int(one_one_int,one_one_int),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_410_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J) ).
tff(f417,axiom,
! [X0: int,X1: int] : ( plus_plus_int(times_times_int(X0,X1),X1) = times_times_int(plus_plus_int(X0,one_one_int),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_416_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J) ).
tff(f439,axiom,
! [X0: int] : ( times_times_int(X0,X0) = power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_438_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J) ).
tff(f699,conjecture,
ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f700,negated_conjecture,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(negated_conjecture,[status(cth)],[f699]) ).
tff(f701,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(flattening,[],[f700]) ).
tff(f1138,plain,
! [X0: int,X1: int] :
( ( ( X0 = plus_plus_int(X0,X1) )
| ( zero_zero_int != X1 ) )
& ( ( X1 = zero_zero_int )
| ( plus_plus_int(X0,X1) != X0 ) ) ),
inference(nnf_transformation,[],[f372]) ).
tff(f1230,plain,
ord_less_int(times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t),times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),zero_zero_int)),
inference(cnf_transformation,[],[f3]) ).
tff(f1231,plain,
times_times_int(plus_plus_int(times_times_int(number_number_of_int(bit0(bit0(bit1(pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),
inference(cnf_transformation,[],[f4]) ).
tff(f1274,plain,
! [X0: int] : ( number_number_of_int(X0) = X0 ),
inference(cnf_transformation,[],[f35]) ).
tff(f1482,plain,
zero_zero_int = pls,
inference(cnf_transformation,[],[f171]) ).
tff(f1496,plain,
! [X0: int] : ( bit0(X0) = plus_plus_int(X0,X0) ),
inference(cnf_transformation,[],[f181]) ).
tff(f1501,plain,
! [X0: int] : ( times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X0)) = number_number_of_int(bit0(X0)) ),
inference(cnf_transformation,[],[f186]) ).
tff(f1561,plain,
! [X0: int] : ( bit1(X0) = plus_plus_int(plus_plus_int(one_one_int,X0),X0) ),
inference(cnf_transformation,[],[f235]) ).
tff(f1673,plain,
! [X2: int,X0: int,X1: int] : ( times_times_int(X0,times_times_int(X1,X2)) = times_times_int(X1,times_times_int(X0,X2)) ),
inference(cnf_transformation,[],[f323]) ).
tff(f1676,plain,
! [X0: int,X1: int] : ( times_times_int(X0,X1) = times_times_int(X1,X0) ),
inference(cnf_transformation,[],[f326]) ).
tff(f1679,plain,
! [X0: int,X1: int] : ( plus_plus_int(X0,X1) = plus_plus_int(X1,X0) ),
inference(cnf_transformation,[],[f329]) ).
tff(f1682,plain,
! [X2: int,X0: int,X1: int] : ( plus_plus_int(X0,plus_plus_int(X1,X2)) = plus_plus_int(X1,plus_plus_int(X0,X2)) ),
inference(cnf_transformation,[],[f332]) ).
tff(f1688,plain,
! [X2: int,X0: int,X1: int] : ( plus_plus_int(plus_plus_int(X0,X1),X2) = plus_plus_int(X0,plus_plus_int(X1,X2)) ),
inference(cnf_transformation,[],[f338]) ).
tff(f1717,plain,
! [X0: int] : ( zero_zero_int = times_times_int(X0,zero_zero_int) ),
inference(cnf_transformation,[],[f363]) ).
tff(f1720,plain,
! [X0: int] : ( plus_plus_int(zero_zero_int,X0) = X0 ),
inference(cnf_transformation,[],[f366]) ).
tff(f1729,plain,
! [X0: int,X1: int] :
( ( plus_plus_int(X0,X1) = X0 )
| ( zero_zero_int != X1 ) ),
inference(cnf_transformation,[],[f1138]) ).
tff(f1780,plain,
! [X0: int] : ( plus_plus_int(X0,X0) = times_times_int(plus_plus_int(one_one_int,one_one_int),X0) ),
inference(cnf_transformation,[],[f411]) ).
tff(f1786,plain,
! [X0: int,X1: int] : ( plus_plus_int(times_times_int(X0,X1),X1) = times_times_int(plus_plus_int(X0,one_one_int),X1) ),
inference(cnf_transformation,[],[f417]) ).
tff(f1817,plain,
! [X0: int] : ( power_power_int(X0,number_number_of_nat(bit0(bit1(pls)))) = times_times_int(X0,X0) ),
inference(cnf_transformation,[],[f439]) ).
tff(f2158,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(bit0(bit1(pls)))),one_one_int),zero_zero_int),
inference(cnf_transformation,[],[f701]) ).
tff(f2160,plain,
ord_less_int(times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),pls)),
inference(definition_unfolding,[],[f1230,f1496,f1496,f1561,f1496,f1496,f1561,f1482]) ).
tff(f2161,plain,
times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t) = plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),
inference(definition_unfolding,[],[f1231,f1496,f1496,f1561,f1496,f1561]) ).
tff(f2320,plain,
! [X0: int] : ( times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(X0)) = number_number_of_int(plus_plus_int(X0,X0)) ),
inference(definition_unfolding,[],[f1501,f1496]) ).
tff(f2434,plain,
! [X0: int] : ( pls = times_times_int(X0,pls) ),
inference(definition_unfolding,[],[f1717,f1482,f1482]) ).
tff(f2435,plain,
! [X0: int] : ( plus_plus_int(pls,X0) = X0 ),
inference(definition_unfolding,[],[f1720,f1482]) ).
tff(f2437,plain,
! [X0: int,X1: int] :
( ( plus_plus_int(X0,X1) = X0 )
| ( pls != X1 ) ),
inference(definition_unfolding,[],[f1729,f1482]) ).
tff(f2463,plain,
! [X0: int] : ( times_times_int(X0,X0) = power_power_int(X0,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))) ),
inference(definition_unfolding,[],[f1817,f1496,f1561]) ).
tff(f2567,plain,
~ ord_less_int(plus_plus_int(power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),one_one_int),pls),
inference(definition_unfolding,[],[f2158,f1496,f1561,f1482]) ).
tff(f2617,plain,
! [X0: int] : ( plus_plus_int(X0,pls) = X0 ),
inference(equality_resolution,[],[f2437]) ).
tff(f2895,plain,
times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t) = plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),
inference(forward_demodulation,[],[f2161,f1679]) ).
tff(f2896,plain,
ord_less_int(times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),plus_plus_int(times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),pls),pls)),
inference(forward_demodulation,[],[f2160,f1786]) ).
tff(f3045,plain,
times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t) = plus_plus_int(one_one_int,times_times_int(s,s)),
inference(forward_demodulation,[],[f2895,f2463]) ).
tff(f3046,plain,
ord_less_int(times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),pls)),
inference(forward_demodulation,[],[f2896,f2617]) ).
tff(f3184,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),t),t),
inference(forward_demodulation,[],[f3045,f1786]) ).
tff(f3185,plain,
ord_less_int(times_times_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,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),one_one_int),t),pls),
inference(forward_demodulation,[],[f3046,f2434]) ).
tff(f3313,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),t)),
inference(forward_demodulation,[],[f3184,f1679]) ).
tff(f3314,plain,
ord_less_int(plus_plus_int(times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),t),t),pls),
inference(forward_demodulation,[],[f3185,f1786]) ).
tff(f3420,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(t,times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m))),
inference(forward_demodulation,[],[f3313,f1676]) ).
tff(f3421,plain,
ord_less_int(plus_plus_int(t,times_times_int(times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m),t)),pls),
inference(forward_demodulation,[],[f3314,f1679]) ).
tff(f3510,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(t,times_times_int(m,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(forward_demodulation,[],[f3420,f1676]) ).
tff(f3511,plain,
ord_less_int(plus_plus_int(t,times_times_int(t,times_times_int(number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))),m))),pls),
inference(forward_demodulation,[],[f3421,f1676]) ).
tff(f3599,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(forward_demodulation,[],[f3510,f1673]) ).
tff(f3600,plain,
ord_less_int(plus_plus_int(t,times_times_int(t,times_times_int(m,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),pls),
inference(forward_demodulation,[],[f3511,f1676]) ).
tff(f3686,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(forward_demodulation,[],[f3599,f2320]) ).
tff(f3687,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls)),plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),pls),
inference(forward_demodulation,[],[f3600,f1673]) ).
tff(f3773,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),
inference(forward_demodulation,[],[f3686,f2320]) ).
tff(f3774,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),pls),
inference(forward_demodulation,[],[f3687,f2320]) ).
tff(f3854,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),
inference(forward_demodulation,[],[f3773,f1274]) ).
tff(f3855,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),number_number_of_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls))))))),pls),
inference(forward_demodulation,[],[f3774,f2320]) ).
tff(f3932,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))),
inference(forward_demodulation,[],[f3854,f1688]) ).
tff(f3933,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),pls)))))),pls),
inference(forward_demodulation,[],[f3855,f1274]) ).
tff(f3999,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,pls))))))),
inference(forward_demodulation,[],[f3932,f1682]) ).
tff(f4000,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,plus_plus_int(pls,pls))))))),pls),
inference(forward_demodulation,[],[f3933,f1688]) ).
tff(f4032,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,pls)))))),
inference(forward_demodulation,[],[f3999,f2435]) ).
tff(f4033,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,pls))))))),pls),
inference(forward_demodulation,[],[f4000,f1682]) ).
tff(f4058,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),plus_plus_int(one_one_int,pls)))))),
inference(forward_demodulation,[],[f4032,f1780]) ).
tff(f4059,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,pls)))))),pls),
inference(forward_demodulation,[],[f4033,f2435]) ).
tff(f4083,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls))))))),
inference(forward_demodulation,[],[f4058,f1688]) ).
tff(f4084,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(plus_plus_int(one_one_int,pls),plus_plus_int(one_one_int,pls)))))),pls),
inference(forward_demodulation,[],[f4059,f1780]) ).
tff(f4099,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))))),
inference(forward_demodulation,[],[f4083,f1682]) ).
tff(f4100,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,plus_plus_int(pls,plus_plus_int(one_one_int,pls))))))),pls),
inference(forward_demodulation,[],[f4084,f1688]) ).
tff(f4112,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls)))))),
inference(forward_demodulation,[],[f4099,f2435]) ).
tff(f4113,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(pls,plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls))))))),pls),
inference(forward_demodulation,[],[f4100,f1682]) ).
tff(f4121,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,one_one_int))))),
inference(forward_demodulation,[],[f4112,f2617]) ).
tff(f4122,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,plus_plus_int(one_one_int,pls)))))),pls),
inference(forward_demodulation,[],[f4113,f2435]) ).
tff(f4126,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,plus_plus_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,one_one_int))))),
inference(forward_demodulation,[],[f4121,f1780]) ).
tff(f4127,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,times_times_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,one_one_int))))),pls),
inference(forward_demodulation,[],[f4122,f2617]) ).
tff(f4131,plain,
plus_plus_int(one_one_int,times_times_int(s,s)) = plus_plus_int(t,times_times_int(m,times_times_int(t,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,one_one_int)))))),
inference(forward_demodulation,[],[f4126,f1688]) ).
tff(f4132,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,plus_plus_int(plus_plus_int(one_one_int,one_one_int),plus_plus_int(one_one_int,one_one_int))))),pls),
inference(forward_demodulation,[],[f4127,f1780]) ).
tff(f4135,plain,
ord_less_int(plus_plus_int(t,times_times_int(m,times_times_int(t,plus_plus_int(one_one_int,plus_plus_int(one_one_int,plus_plus_int(one_one_int,one_one_int)))))),pls),
inference(forward_demodulation,[],[f4132,f1688]) ).
tff(f4138,plain,
ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(forward_demodulation,[],[f4135,f4131]) ).
tff(f4171,plain,
~ ord_less_int(plus_plus_int(one_one_int,power_power_int(s,number_number_of_nat(plus_plus_int(plus_plus_int(plus_plus_int(one_one_int,pls),pls),plus_plus_int(plus_plus_int(one_one_int,pls),pls))))),pls),
inference(superposition,[],[f2567,f1679]) ).
tff(f4176,plain,
~ ord_less_int(plus_plus_int(one_one_int,times_times_int(s,s)),pls),
inference(forward_demodulation,[],[f4171,f2463]) ).
tff(f4182,plain,
$false,
inference(forward_subsumption_resolution,[],[f4176,f4138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM924_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 21:41:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 7.03/1.84 % (2425006)Detected formulas, will run a generic FOF schedule.
% 7.03/1.84 % (2425016)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=57550821:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.03/1.84 % (2425015)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4225361223:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.03/1.84 % (2425011)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=2167506569:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.03/1.84 % (2425014)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3535012963:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.03/1.84 % (2425013)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=1580940133:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.03/1.84 % (2425017)dis-21_1_sil=8000:lcm=predicate:random_seed=3599354628: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)
% 7.03/1.84 % (2425012)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=1898334020:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.03/1.84 % (2425016)Instruction limit reached!
% 7.03/1.84 % (2425016)------------------------------
% 7.03/1.84 % (2425016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425016)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425016)Termination reason: Instruction limit
% 7.03/1.84 % (2425016)Termination phase: Saturation
% 7.03/1.84 % (2425016)Time elapsed: 0.046 s
% 7.03/1.84 % (2425016)Peak memory usage: 90 MB
% 7.03/1.84 % (2425016)Instructions burned: 142 (million)
% 7.03/1.84 % (2425014)Instruction limit reached!
% 7.03/1.84 % (2425014)------------------------------
% 7.03/1.84 % (2425014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425014)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425014)Termination reason: Instruction limit
% 7.03/1.84 % (2425014)Termination phase: Saturation
% 7.03/1.84 % (2425014)Time elapsed: 0.069 s
% 7.03/1.84 % (2425014)Peak memory usage: 90 MB
% 7.03/1.84 % (2425014)Instructions burned: 110 (million)
% 7.03/1.84 % (2425017)Instruction limit reached!
% 7.03/1.84 % (2425017)------------------------------
% 7.03/1.84 % (2425017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425017)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425017)Termination reason: Instruction limit
% 7.03/1.84 % (2425017)Termination phase: Saturation
% 7.03/1.84 % (2425017)Time elapsed: 0.069 s
% 7.03/1.84 % (2425017)Peak memory usage: 89 MB
% 7.03/1.84 % (2425017)Instructions burned: 129 (million)
% 7.03/1.84 % (2425015)Instruction limit reached!
% 7.03/1.84 % (2425015)------------------------------
% 7.03/1.84 % (2425015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425015)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425015)Termination reason: Instruction limit
% 7.03/1.84 % (2425015)Termination phase: Saturation
% 7.03/1.84 % (2425015)Time elapsed: 0.074 s
% 7.03/1.84 % (2425015)Peak memory usage: 89 MB
% 7.03/1.84 % (2425015)Instructions burned: 119 (million)
% 7.03/1.84 % (2425027)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2530658095:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.03/1.84 % (2425025)lrs+10_1_sil=8000:sp=occurrence:random_seed=4258805230:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.03/1.84 % (2425026)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2008861810:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.03/1.84 % (2425028)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=488951187:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.03/1.84 % (2425027)Instruction limit reached!
% 7.03/1.84 % (2425027)------------------------------
% 7.03/1.84 % (2425027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425027)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425027)Termination reason: Instruction limit
% 7.03/1.84 % (2425027)Termination phase: Saturation
% 7.03/1.84 % (2425027)Time elapsed: 0.096 s
% 7.03/1.84 % (2425027)Peak memory usage: 92 MB
% 7.03/1.84 % (2425027)Instructions burned: 326 (million)
% 7.03/1.84 % (2425026)Instruction limit reached!
% 7.03/1.84 % (2425026)------------------------------
% 7.03/1.84 % (2425026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425026)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425026)Termination reason: Instruction limit
% 7.03/1.84 % (2425026)Termination phase: Saturation
% 7.03/1.84 % (2425026)Time elapsed: 0.094 s
% 7.03/1.84 % (2425026)Peak memory usage: 90 MB
% 7.03/1.84 % (2425026)Instructions burned: 157 (million)
% 7.03/1.84 % (2425025)Instruction limit reached!
% 7.03/1.84 % (2425025)------------------------------
% 7.03/1.84 % (2425025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425025)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425025)Termination reason: Instruction limit
% 7.03/1.84 % (2425025)Termination phase: Saturation
% 7.03/1.84 % (2425025)Time elapsed: 0.185 s
% 7.03/1.84 % (2425025)Peak memory usage: 92 MB
% 7.03/1.84 % (2425025)Instructions burned: 285 (million)
% 7.03/1.84 % (2425028)Instruction limit reached!
% 7.03/1.84 % (2425028)------------------------------
% 7.03/1.84 % (2425028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425028)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425028)Termination reason: Instruction limit
% 7.03/1.84 % (2425028)Termination phase: Saturation
% 7.03/1.84 % (2425028)Time elapsed: 0.143 s
% 7.03/1.84 % (2425028)Peak memory usage: 92 MB
% 7.03/1.84 % (2425028)Instructions burned: 248 (million)
% 7.03/1.84 % (2425033)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3493065672:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.03/1.84 % (2425033)Instruction limit reached!
% 7.03/1.84 % (2425033)------------------------------
% 7.03/1.84 % (2425033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425033)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425033)Termination reason: Instruction limit
% 7.03/1.84 % (2425033)Termination phase: Saturation
% 7.03/1.84 % (2425033)Time elapsed: 0.088 s
% 7.03/1.84 % (2425033)Peak memory usage: 92 MB
% 7.03/1.84 % (2425033)Instructions burned: 297 (million)
% 7.03/1.84 % (2425034)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=678598506:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.03/1.84 % (2425035)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2943886421:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.03/1.84 % (2425036)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=522254127:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.03/1.84 % (2425036)Instruction limit reached!
% 7.03/1.84 % (2425036)------------------------------
% 7.03/1.84 % (2425036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425036)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425036)Termination reason: Instruction limit
% 7.03/1.84 % (2425036)Termination phase: Saturation
% 7.03/1.84 % (2425036)Time elapsed: 0.058 s
% 7.03/1.84 % (2425036)Peak memory usage: 89 MB
% 7.03/1.84 % (2425036)Instructions burned: 129 (million)
% 7.03/1.84 % (2425035)Instruction limit reached!
% 7.03/1.84 % (2425035)------------------------------
% 7.03/1.84 % (2425035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425035)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425035)Termination reason: Instruction limit
% 7.03/1.84 % (2425035)Termination phase: Saturation
% 7.03/1.84 % (2425035)Time elapsed: 0.066 s
% 7.03/1.84 % (2425035)Peak memory usage: 90 MB
% 7.03/1.84 % (2425035)Instructions burned: 114 (million)
% 7.03/1.84 % (2425039)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3185735643:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 7.03/1.84 % (2425039)Instruction limit reached!
% 7.03/1.84 % (2425039)------------------------------
% 7.03/1.84 % (2425039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425039)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425039)Termination reason: Instruction limit
% 7.03/1.84 % (2425039)Termination phase: Saturation
% 7.03/1.84 % (2425039)Time elapsed: 0.031 s
% 7.03/1.84 % (2425039)Peak memory usage: 90 MB
% 7.03/1.84 % (2425039)Instructions burned: 114 (million)
% 7.03/1.84 % (2425042)lrs+10_1_sil=8000:sp=occurrence:random_seed=3550120599:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.03/1.84 % (2425043)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=913936379:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.03/1.84 % (2425045)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4274830332:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 7.03/1.84 % (2425012)First to succeed.
% 7.03/1.84 % (2425012)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2425006"
% 7.03/1.84 % (2425011)Also succeeded, but the first one will report.
% 7.03/1.84 % (2425043)Instruction limit reached!
% 7.03/1.84 % (2425043)------------------------------
% 7.03/1.84 % (2425043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.03/1.84 % (2425043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.03/1.84 % (2425043)CaDiCaL version: 2.1.3
% 7.03/1.84 % (2425043)Termination reason: Instruction limit
% 7.03/1.84 % (2425043)Termination phase: Saturation
% 7.03/1.84 % (2425043)Time elapsed: 0.277 s
% 7.03/1.84 % (2425043)Peak memory usage: 94 MB
% 7.03/1.84 % (2425043)Instructions burned: 438 (million)
% 7.03/1.84 % (2425012)Refutation found. Thanks to Tanya!
% 7.03/1.84 % SZS status Theorem for theBenchmark
% 7.03/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.04 % (2425012)------------------------------
% 0.15/2.04 % (2425012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.04 % (2425012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.04 % (2425012)CaDiCaL version: 2.1.3
% 0.15/2.04 % (2425012)Termination reason: Refutation
% 0.15/2.04 % (2425012)Time elapsed: 0.807 s
% 0.15/2.04 % (2425012)Peak memory usage: 139 MB
% 0.15/2.04 % (2425012)Instructions burned: 1290 (million)
% 0.15/2.04 % (2425012)------------------------------
% 0.15/2.04 % (2425012)------------------------------
% 0.15/2.04 % (2425006)Success in time 1.237 s
% 0.15/2.04 % Vampire exiting
%------------------------------------------------------------------------------