%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM926+7 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:26:14 PM UTC 2026
% Result : Theorem 29.07s 6.73s
% Output : Refutation 29.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 34
% Syntax : Number of formulae : 214 ( 98 unt; 6 def)
% Number of atoms : 354 ( 175 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 272 ( 132 ~; 126 |; 0 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-5 aty)
% Number of variables : 161 ( 0 sgn 149 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( one(X0)
=> ti(X0,one_one(X0)) = one_one(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Groups_Oone__class_Oone_res) ).
fof(f21,axiom,
! [X0,X1] :
( cancel_semigroup_add(X1)
=> plus_plus(X1,ti(X1,X0)) = plus_plus(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Groups_Oplus__class_Oplus_2_arg1) ).
fof(f50,axiom,
! [X0] : bit0(ti(int,X0)) = bit0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_OBit0_arg1) ).
fof(f56,axiom,
! [X0,X1] :
( number(X1)
=> number_number_of(X1,ti(int,X0)) = number_number_of(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_Int_Onumber__class_Onumber__of_arg1) ).
fof(f89,axiom,
! [X0,X1,X2,X3] : hAPP(X0,X1,X2,ti(X0,X3)) = hAPP(X0,X1,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_hAPP_arg2) ).
fof(f90,axiom,
! [X0,X1,X2,X3] : ti(X0,hAPP(X1,X0,X2,X3)) = hAPP(X1,X0,X2,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_c_hAPP_res) ).
fof(f97,axiom,
ti(int,t) = t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tsy_v_t_____res) ).
fof(f98,axiom,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tpos) ).
fof(f99,axiom,
( t = one_one(int)
=> ? [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/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) ).
fof(f100,axiom,
( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
=> ? [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/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) ).
fof(f135,axiom,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,bit0(bit1(pls))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_nat__1__add__1) ).
fof(f185,axiom,
! [X0,X1] : hAPP(int,int,times_times(int,X0),X1) = hAPP(int,int,times_times(int,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_87_zmult__commute) ).
fof(f186,axiom,
! [X0] : number_number_of(int,X0) = ti(int,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_88_number__of__is__id) ).
fof(f187,axiom,
! [X0,X1,X2] : hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X0),X1)),X2) = hAPP(int,int,plus_plus(int,X0),hAPP(int,int,plus_plus(int,X1),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_89_zadd__assoc) ).
fof(f188,axiom,
! [X0,X1,X2] : hAPP(int,int,plus_plus(int,X0),hAPP(int,int,plus_plus(int,X1),X2)) = hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_90_zadd__left__commute) ).
fof(f189,axiom,
! [X0,X1] : hAPP(int,int,plus_plus(int,X0),X1) = hAPP(int,int,plus_plus(int,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_91_zadd__commute) ).
fof(f223,axiom,
! [X0] : hAPP(int,int,plus_plus(int,X0),pls) = ti(int,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_125_add__Pls__right) ).
fof(f224,axiom,
! [X0] : hAPP(int,int,plus_plus(int,pls),X0) = ti(int,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_126_add__Pls) ).
fof(f226,axiom,
! [X0] : bit0(X0) = hAPP(int,int,plus_plus(int,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_Bit0__def) ).
fof(f251,axiom,
! [X0] : bit1(X0) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X0)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_153_Bit1__def) ).
fof(f430,axiom,
! [X0] :
( order(X0)
=> ! [X1,X2] :
( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
=> ( ti(X0,X1) != ti(X0,X2)
=> hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_332_order__le__neq__implies__less) ).
fof(f1111,axiom,
cancel_semigroup_add(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Ocancel__semigroup__add) ).
fof(f1139,axiom,
order(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Orderings_Oorder) ).
fof(f1150,axiom,
one(int),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Int_Oint___Groups_Oone) ).
fof(f1187,axiom,
number(nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Nat_Onat___Int_Onumber) ).
fof(f1248,axiom,
! [X0,X1] : ti(X0,ti(X0,X1)) = ti(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_ti_idem) ).
fof(f1250,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(X0,X1,combc(X0,X2,X1,X3,X4),X5) = hAPP(X2,X1,hAPP(X0,fun(X2,X1),X3,X5),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_COMBC_1_1_U) ).
fof(f1255,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/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1256,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)],[f1255]) ).
fof(f1265,plain,
! [X0] :
( ti(X0,one_one(X0)) = one_one(X0)
| ~ one(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f1272,plain,
! [X0,X1] :
( plus_plus(X1,ti(X1,X0)) = plus_plus(X1,X0)
| ~ cancel_semigroup_add(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f1289,plain,
! [X0,X1] :
( number_number_of(X1,ti(int,X0)) = number_number_of(X1,X0)
| ~ number(X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f1296,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))
| t != one_one(int) ),
inference(ennf_transformation,[],[f99]) ).
fof(f1297,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))
| ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) ),
inference(ennf_transformation,[],[f100]) ).
fof(f1542,plain,
! [X0] :
( ! [X1,X2] :
( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2))
| ti(X0,X1) = ti(X0,X2)
| ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) )
| ~ order(X0) ),
inference(ennf_transformation,[],[f430]) ).
fof(f1543,plain,
! [X0] :
( ! [X1,X2] :
( hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2))
| ti(X0,X1) = ti(X0,X2)
| ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2)) )
| ~ order(X0) ),
inference(flattening,[],[f1542]) ).
fof(f2278,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,[],[f1256]) ).
fof(f2294,plain,
! [X0] :
( ~ one(X0)
| one_one(X0) = ti(X0,one_one(X0)) ),
inference(cnf_transformation,[],[f1265]) ).
fof(f2299,plain,
! [X0,X1] :
( ~ cancel_semigroup_add(X1)
| plus_plus(X1,ti(X1,X0)) = plus_plus(X1,X0) ),
inference(cnf_transformation,[],[f1272]) ).
fof(f2328,plain,
! [X0] : bit0(ti(int,X0)) = bit0(X0),
inference(cnf_transformation,[],[f50]) ).
fof(f2334,plain,
! [X0,X1] :
( ~ number(X1)
| number_number_of(X1,ti(int,X0)) = number_number_of(X1,X0) ),
inference(cnf_transformation,[],[f1289]) ).
fof(f2367,plain,
! [X2,X3,X0,X1] : hAPP(X0,X1,X2,X3) = hAPP(X0,X1,X2,ti(X0,X3)),
inference(cnf_transformation,[],[f89]) ).
fof(f2368,plain,
! [X2,X3,X0,X1] : hAPP(X1,X0,X2,X3) = ti(X0,hAPP(X1,X0,X2,X3)),
inference(cnf_transformation,[],[f90]) ).
fof(f2376,plain,
t = ti(int,t),
inference(cnf_transformation,[],[f97]) ).
fof(f2377,plain,
hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)),
inference(cnf_transformation,[],[f98]) ).
fof(f2378,plain,
( t != one_one(int)
| 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,sK0),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,bit0(bit1(pls))))) ),
inference(cnf_transformation,[],[f1296]) ).
fof(f2379,plain,
( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
| 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,sK2),number_number_of(nat,bit0(bit1(pls))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,bit0(bit1(pls))))) ),
inference(cnf_transformation,[],[f1297]) ).
fof(f2419,plain,
number_number_of(nat,bit0(bit1(pls))) = hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)),
inference(cnf_transformation,[],[f135]) ).
fof(f2492,plain,
! [X0,X1] : hAPP(int,int,times_times(int,X1),X0) = hAPP(int,int,times_times(int,X0),X1),
inference(cnf_transformation,[],[f185]) ).
fof(f2493,plain,
! [X0] : ti(int,X0) = number_number_of(int,X0),
inference(cnf_transformation,[],[f186]) ).
fof(f2494,plain,
! [X2,X0,X1] : hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,X0),X1)),X2) = hAPP(int,int,plus_plus(int,X0),hAPP(int,int,plus_plus(int,X1),X2)),
inference(cnf_transformation,[],[f187]) ).
fof(f2495,plain,
! [X2,X0,X1] : hAPP(int,int,plus_plus(int,X0),hAPP(int,int,plus_plus(int,X1),X2)) = hAPP(int,int,plus_plus(int,X1),hAPP(int,int,plus_plus(int,X0),X2)),
inference(cnf_transformation,[],[f188]) ).
fof(f2496,plain,
! [X0,X1] : hAPP(int,int,plus_plus(int,X0),X1) = hAPP(int,int,plus_plus(int,X1),X0),
inference(cnf_transformation,[],[f189]) ).
fof(f2552,plain,
! [X0] : ti(int,X0) = hAPP(int,int,plus_plus(int,X0),pls),
inference(cnf_transformation,[],[f223]) ).
fof(f2553,plain,
! [X0] : ti(int,X0) = hAPP(int,int,plus_plus(int,pls),X0),
inference(cnf_transformation,[],[f224]) ).
fof(f2555,plain,
! [X0] : bit0(X0) = hAPP(int,int,plus_plus(int,X0),X0),
inference(cnf_transformation,[],[f226]) ).
fof(f2580,plain,
! [X0] : bit1(X0) = hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),X0)),X0),
inference(cnf_transformation,[],[f251]) ).
fof(f2839,plain,
! [X2,X0,X1] :
( ~ order(X0)
| ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
| ti(X0,X1) = ti(X0,X2)
| hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1543]) ).
fof(f3785,plain,
cancel_semigroup_add(int),
inference(cnf_transformation,[],[f1111]) ).
fof(f3813,plain,
order(int),
inference(cnf_transformation,[],[f1139]) ).
fof(f3824,plain,
one(int),
inference(cnf_transformation,[],[f1150]) ).
fof(f3861,plain,
number(nat),
inference(cnf_transformation,[],[f1187]) ).
fof(f3922,plain,
! [X0,X1] : ti(X0,X1) = ti(X0,ti(X0,X1)),
inference(cnf_transformation,[],[f1248]) ).
fof(f3924,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X0,X1,combc(X0,X2,X1,X3,X4),X5) = hAPP(X2,X1,hAPP(X0,fun(X2,X1),X3,X5),X4),
inference(cnf_transformation,[],[f1250]) ).
fof(f3929,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,[],[f2278]) ).
fof(f3931,plain,
! [X0] : hAPP(int,int,plus_plus(int,X0),X0) = hAPP(int,int,plus_plus(int,ti(int,X0)),ti(int,X0)),
inference(definition_unfolding,[],[f2328,f2555,f2555]) ).
fof(f3942,plain,
( t != one_one(int)
| 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,sK0),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,sK1),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,[],[f2378,f2555,f2555,f2580,f2555,f2580,f2555,f2580]) ).
fof(f3943,plain,
( ~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
| 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,sK2),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,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))))) ),
inference(definition_unfolding,[],[f2379,f2555,f2555,f2580,f2555,f2580,f2555,f2580]) ).
fof(f3963,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = 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,[],[f2419,f2555,f2580]) ).
fof(f4198,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,[],[f3929,f2555,f2580,f2555,f2580,f2555,f2555,f2580]) ).
fof(f4293,plain,
! [X0] :
( one(X0)
| one_one(X0) = ti(X0,one_one(X0)) ),
inference(consistent_polarity_flipping,[],[f2294]) ).
fof(f4306,plain,
! [X0,X1] :
( number(X1)
| number_number_of(X1,ti(int,X0)) = number_number_of(X1,X0) ),
inference(consistent_polarity_flipping,[],[f2334]) ).
fof(f4313,plain,
~ hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less_eq(int),one_one(int)),t)),
inference(consistent_polarity_flipping,[],[f2377]) ).
fof(f4314,plain,
( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
| 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,sK2),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,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))))) ),
inference(consistent_polarity_flipping,[],[f3943]) ).
fof(f4638,plain,
! [X2,X0,X1] :
( order(X0)
| hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less_eq(X0),X1),X2))
| ti(X0,X1) = ti(X0,X2)
| ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)) ),
inference(consistent_polarity_flipping,[],[f2839]) ).
fof(f5428,plain,
~ order(int),
inference(consistent_polarity_flipping,[],[f3813]) ).
fof(f5433,plain,
~ one(int),
inference(consistent_polarity_flipping,[],[f3824]) ).
fof(f5453,plain,
~ number(nat),
inference(consistent_polarity_flipping,[],[f3861]) ).
fof(f5501,definition,
( spl48_3
<=> 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,sK2),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,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))))) ),
introduced(definition,[new_symbols(definition,[spl48_3])],[avatar_definition]) ).
fof(f5503,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,sK2),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,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)))))
| ~ spl48_3 ),
inference(avatar_component_clause,[],[f5501]) ).
fof(f5505,definition,
( spl48_4
<=> hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t)) ),
introduced(definition,[new_symbols(definition,[spl48_4])],[avatar_definition]) ).
fof(f5507,plain,
( hBOOL(hAPP(int,bool,hAPP(int,fun(int,bool),ord_less(int),one_one(int)),t))
| ~ spl48_4 ),
inference(avatar_component_clause,[],[f5505]) ).
fof(f5508,plain,
( spl48_3
| spl48_4 ),
inference(avatar_split_clause,[],[f4314,f5505,f5501]) ).
fof(f5510,definition,
( spl48_5
<=> 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,sK0),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,sK1),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))))) ),
introduced(definition,[new_symbols(definition,[spl48_5])],[avatar_definition]) ).
fof(f5512,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,sK0),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,sK1),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)))))
| ~ spl48_5 ),
inference(avatar_component_clause,[],[f5510]) ).
fof(f5514,definition,
( spl48_6
<=> t = one_one(int) ),
introduced(definition,[new_symbols(definition,[spl48_6])],[avatar_definition]) ).
fof(f5515,plain,
( t = one_one(int)
| ~ spl48_6 ),
inference(avatar_component_clause,[],[f5514]) ).
fof(f5517,plain,
( spl48_5
| ~ spl48_6 ),
inference(avatar_split_clause,[],[f3942,f5514,f5510]) ).
fof(f5600,plain,
! [X0] : ti(int,X0) = number_number_of(int,ti(int,X0)),
inference(superposition,[],[f2493,f3922]) ).
fof(f5603,plain,
! [X0] : number_number_of(int,X0) = number_number_of(int,number_number_of(int,X0)),
inference(forward_demodulation,[],[f5600,f2493]) ).
fof(f5606,plain,
one_one(int) = ti(int,one_one(int)),
inference(resolution,[],[f4293,f5433]) ).
fof(f5653,plain,
one_one(int) = number_number_of(int,one_one(int)),
inference(superposition,[],[f5606,f2493]) ).
fof(f5665,plain,
! [X0] : plus_plus(int,X0) = plus_plus(int,ti(int,X0)),
inference(resolution,[],[f2299,f3785]) ).
fof(f5668,plain,
! [X0] : plus_plus(int,X0) = plus_plus(int,number_number_of(int,X0)),
inference(forward_demodulation,[],[f5665,f2493]) ).
fof(f5693,plain,
! [X0] : number_number_of(int,X0) = hAPP(int,int,plus_plus(int,X0),pls),
inference(forward_demodulation,[],[f2552,f2493]) ).
fof(f5694,plain,
! [X0] : number_number_of(int,X0) = hAPP(int,int,plus_plus(int,pls),X0),
inference(forward_demodulation,[],[f2553,f2493]) ).
fof(f5756,plain,
! [X0,X1] :
( number(X1)
| number_number_of(X1,X0) = number_number_of(X1,number_number_of(int,X0)) ),
inference(forward_demodulation,[],[f4306,f2493]) ).
fof(f5773,plain,
! [X0] : number_number_of(nat,X0) = number_number_of(nat,number_number_of(int,X0)),
inference(resolution,[],[f5756,f5453]) ).
fof(f5814,plain,
! [X2,X0,X1] : hAPP(int,X1,X2,X0) = hAPP(int,X1,X2,number_number_of(int,X0)),
inference(superposition,[],[f2367,f2493]) ).
fof(f5890,plain,
! [X2,X0,X1] : hAPP(X0,int,X1,X2) = number_number_of(int,hAPP(X0,int,X1,X2)),
inference(superposition,[],[f2368,f2493]) ).
fof(f6709,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,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),pls))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)))),hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),pls))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),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,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),pls))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),pls))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),
inference(forward_demodulation,[],[f4198,f5693]) ).
fof(f6710,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,number_number_of(int,number_number_of(int,one_one(int)))),number_number_of(int,number_number_of(int,one_one(int))))),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int)))),number_number_of(int,number_number_of(int,one_one(int))))))),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,number_number_of(int,number_number_of(int,one_one(int)))),number_number_of(int,number_number_of(int,one_one(int))))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,one_one(int)))),number_number_of(int,number_number_of(int,one_one(int))))))),
inference(forward_demodulation,[],[f6709,f5693]) ).
fof(f6711,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,number_number_of(int,one_one(int))),number_number_of(int,one_one(int)))),hAPP(int,int,plus_plus(int,number_number_of(int,one_one(int))),number_number_of(int,one_one(int)))))),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,number_number_of(int,one_one(int))),number_number_of(int,one_one(int)))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,number_number_of(int,one_one(int))),number_number_of(int,one_one(int)))))),
inference(forward_demodulation,[],[f6710,f5603]) ).
fof(f6712,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,one_one(int)),one_one(int))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),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,one_one(int)),one_one(int))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),
inference(forward_demodulation,[],[f6711,f5653]) ).
fof(f6713,plain,
! [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))) != hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),m)),
inference(forward_demodulation,[],[f6712,f2496]) ).
fof(f6714,plain,
! [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))) != hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,m),number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),
inference(forward_demodulation,[],[f6713,f2492]) ).
fof(f6956,plain,
! [X0] : hAPP(int,int,plus_plus(int,X0),X0) = hAPP(int,int,plus_plus(int,number_number_of(int,X0)),number_number_of(int,X0)),
inference(forward_demodulation,[],[f3931,f2493]) ).
fof(f6957,plain,
! [X0] : hAPP(int,int,plus_plus(int,X0),X0) = hAPP(int,int,plus_plus(int,X0),number_number_of(int,X0)),
inference(forward_demodulation,[],[f6956,f5668]) ).
fof(f7898,plain,
~ hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less_eq(int),t),one_one(int))),
inference(superposition,[],[f4313,f3924]) ).
fof(f7899,plain,
( hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),t),one_one(int)))
| ~ spl48_4 ),
inference(superposition,[],[f5507,f3924]) ).
fof(f17012,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),X2),X1))
| order(X0)
| ti(X0,X1) = ti(X0,X2)
| ~ hBOOL(hAPP(X0,bool,hAPP(X0,fun(X0,bool),ord_less(X0),X1),X2)) ),
inference(forward_demodulation,[],[f4638,f3924]) ).
fof(f17013,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(X0,bool,combc(X0,X0,bool,ord_less(X0),X2),X1))
| hBOOL(hAPP(X0,bool,combc(X0,X0,bool,ord_less_eq(X0),X2),X1))
| order(X0)
| ti(X0,X1) = ti(X0,X2) ),
inference(forward_demodulation,[],[f17012,f3924]) ).
fof(f26079,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),pls))),
inference(forward_demodulation,[],[f3963,f2495]) ).
fof(f26080,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),pls)))),
inference(forward_demodulation,[],[f26079,f2494]) ).
fof(f26081,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),pls)))),
inference(forward_demodulation,[],[f26080,f2495]) ).
fof(f26082,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),pls)))),
inference(forward_demodulation,[],[f26081,f5694]) ).
fof(f26083,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)),pls))),
inference(forward_demodulation,[],[f26082,f5890]) ).
fof(f26084,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))),
inference(forward_demodulation,[],[f26083,f5693]) ).
fof(f26085,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))),
inference(forward_demodulation,[],[f26084,f5814]) ).
fof(f26086,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)))),
inference(forward_demodulation,[],[f26085,f5693]) ).
fof(f26087,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))),
inference(forward_demodulation,[],[f26086,f5814]) ).
fof(f26088,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))),
inference(forward_demodulation,[],[f26087,f5693]) ).
fof(f26089,plain,
hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)) = number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),
inference(forward_demodulation,[],[f26088,f6957]) ).
fof(f37215,plain,
! [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))) != hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),
inference(forward_demodulation,[],[f6714,f5814]) ).
fof(f37226,plain,
! [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))) != hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),one_one(int))))),
inference(forward_demodulation,[],[f37215,f2495]) ).
fof(f37233,plain,
! [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),hAPP(nat,int,power_power(int,X1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))) != hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),
inference(forward_demodulation,[],[f37226,f2496]) ).
fof(f37238,plain,
! [X0,X1] : hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))) != hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,X1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),
inference(forward_demodulation,[],[f37233,f26089]) ).
fof(f82594,definition,
( spl48_1300
<=> hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),t),one_one(int))) ),
introduced(definition,[new_symbols(definition,[spl48_1300])],[avatar_definition]) ).
fof(f82596,plain,
( hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less(int),t),one_one(int)))
| ~ spl48_1300 ),
inference(avatar_component_clause,[],[f82594]) ).
fof(f97869,definition,
( spl48_1771
<=> hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less_eq(int),t),one_one(int))) ),
introduced(definition,[new_symbols(definition,[spl48_1771])],[avatar_definition]) ).
fof(f119740,plain,
~ spl48_1771,
inference(avatar_split_clause,[],[f7898,f97869]) ).
fof(f119887,plain,
( spl48_1300
| ~ spl48_4 ),
inference(avatar_split_clause,[],[f7899,f5505,f82594]) ).
fof(f119888,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,one_one(int)),pls)),hAPP(int,int,plus_plus(int,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,one_one(int)),pls)),hAPP(int,int,plus_plus(int,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,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f5503,f2494]) ).
fof(f119909,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,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,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,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119888,f2494]) ).
fof(f119911,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,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,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,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119909,f2495]) ).
fof(f119912,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,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,sK2),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119911,f5694]) ).
fof(f119913,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,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,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119912,f5773]) ).
fof(f119914,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),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,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119913,f2495]) ).
fof(f119915,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),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,sK2),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119914,f5694]) ).
fof(f119916,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),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,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119915,f5773]) ).
fof(f119917,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119916,f2494]) ).
fof(f119918,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119917,f2495]) ).
fof(f119919,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119918,f2495]) ).
fof(f119920,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119919,f5694]) ).
fof(f119921,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119920,f5773]) ).
fof(f119922,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119921,f5693]) ).
fof(f119923,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),hAPP(nat,int,power_power(int,sK3),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119922,f6957]) ).
fof(f119924,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119923,f26089]) ).
fof(f119925,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119924,f2492]) ).
fof(f119926,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119925,f5814]) ).
fof(f119927,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119926,f5814]) ).
fof(f119928,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119927,f2496]) ).
fof(f119929,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119928,f6957]) ).
fof(f119930,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119929,f5814]) ).
fof(f119931,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119930,f2496]) ).
fof(f119932,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119931,f6957]) ).
fof(f119933,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119932,f5814]) ).
fof(f119934,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119933,f2496]) ).
fof(f119935,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))),one_one(int))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119934,f2494]) ).
fof(f119936,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_3 ),
inference(forward_demodulation,[],[f119935,f5814]) ).
fof(f119938,plain,
( hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK2),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK3),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_3 ),
inference(superposition,[],[f119936,f2496]) ).
fof(f120050,plain,
( $false
| ~ spl48_3 ),
inference(forward_subsumption_resolution,[],[f119938,f37238]) ).
fof(f120051,plain,
~ spl48_3,
inference(avatar_contradiction_clause,[],[f120050]) ).
fof(f120292,plain,
( hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less_eq(int),t),one_one(int)))
| order(int)
| ti(int,t) = ti(int,one_one(int))
| ~ spl48_1300 ),
inference(resolution,[],[f82596,f17013]) ).
fof(f120293,plain,
( hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less_eq(int),t),one_one(int)))
| ti(int,t) = ti(int,one_one(int))
| ~ spl48_1300 ),
inference(forward_subsumption_resolution,[],[f120292,f5428]) ).
fof(f120301,plain,
( ti(int,t) = one_one(int)
| hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less_eq(int),t),one_one(int)))
| ~ spl48_1300 ),
inference(forward_demodulation,[],[f120293,f5606]) ).
fof(f120307,plain,
( t = one_one(int)
| hBOOL(hAPP(int,bool,combc(int,int,bool,ord_less_eq(int),t),one_one(int)))
| ~ spl48_1300 ),
inference(forward_demodulation,[],[f120301,f2376]) ).
fof(f120318,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,one_one(int)),pls)),hAPP(int,int,plus_plus(int,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,one_one(int)),pls)),hAPP(int,int,plus_plus(int,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,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f5512,f2494]) ).
fof(f120342,plain,
( spl48_1771
| spl48_6
| ~ spl48_1300 ),
inference(avatar_split_clause,[],[f120307,f82594,f5514,f97869]) ).
fof(f120344,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,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,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,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120318,f2494]) ).
fof(f120348,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,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,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,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120344,f2495]) ).
fof(f120352,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,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,sK0),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120348,f5694]) ).
fof(f120356,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,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,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120352,f5773]) ).
fof(f120366,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),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,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120356,f2495]) ).
fof(f120368,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),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,sK0),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120366,f5694]) ).
fof(f120370,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),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,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),pls)),pls)))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120368,f5773]) ).
fof(f120372,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),pls))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120370,f2494]) ).
fof(f120377,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120372,f2495]) ).
fof(f120378,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,pls),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120377,f2495]) ).
fof(f120379,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120378,f5694]) ).
fof(f120380,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),pls)))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120379,f5773]) ).
fof(f120381,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int)))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,one_one(int))))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120380,f5693]) ).
fof(f120382,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),hAPP(nat,int,power_power(int,sK1),number_number_of(nat,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120381,f6957]) ).
fof(f120383,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))))),m)),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120382,f26089]) ).
fof(f120384,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),number_number_of(int,hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120383,f2492]) ).
fof(f120385,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120384,f5814]) ).
fof(f120386,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120385,f5814]) ).
fof(f120387,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),number_number_of(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120386,f2496]) ).
fof(f120388,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120387,f6957]) ).
fof(f120389,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120388,f5814]) ).
fof(f120390,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),number_number_of(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120389,f2496]) ).
fof(f120391,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120390,f6957]) ).
fof(f120392,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120391,f5814]) ).
fof(f120393,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120392,f2496]) ).
fof(f120394,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),number_number_of(int,hAPP(int,int,plus_plus(int,one_one(int)),one_one(int))))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120393,f2494]) ).
fof(f120395,plain,
( hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),hAPP(int,int,plus_plus(int,one_one(int)),one_one(int)))))),one_one(int)) = hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat))))
| ~ spl48_5 ),
inference(forward_demodulation,[],[f120394,f5814]) ).
fof(f120722,plain,
( ! [X0,X1] : hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,X0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,X1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) != hAPP(int,int,plus_plus(int,t),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,t),hAPP(int,int,plus_plus(int,t),hAPP(int,int,plus_plus(int,t),t)))))
| ~ spl48_6 ),
inference(superposition,[],[f37238,f5515]) ).
fof(f121030,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,t),hAPP(int,int,plus_plus(int,t),hAPP(int,int,plus_plus(int,t),t))))),t)
| ~ spl48_5
| ~ spl48_6 ),
inference(forward_demodulation,[],[f120395,f5515]) ).
fof(f121031,plain,
( hAPP(int,int,plus_plus(int,hAPP(nat,int,power_power(int,sK0),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))),hAPP(nat,int,power_power(int,sK1),hAPP(nat,nat,plus_plus(nat,one_one(nat)),one_one(nat)))) = hAPP(int,int,plus_plus(int,t),hAPP(int,int,times_times(int,m),hAPP(int,int,plus_plus(int,t),hAPP(int,int,plus_plus(int,t),hAPP(int,int,plus_plus(int,t),t)))))
| ~ spl48_5
| ~ spl48_6 ),
inference(forward_demodulation,[],[f121030,f2496]) ).
fof(f121403,plain,
( $false
| ~ spl48_5
| ~ spl48_6 ),
inference(backward_subsumption_resolution,[],[f121031,f120722]) ).
fof(f121429,plain,
( ~ spl48_5
| ~ spl48_6 ),
inference(avatar_contradiction_clause,[],[f121403]) ).
cnf(s4,plain,
( spl48_3
| spl48_4 ),
inference(sat_conversion,[],[f5508]) ).
cnf(s5,plain,
( spl48_5
| ~ spl48_6 ),
inference(sat_conversion,[],[f5517]) ).
cnf(s5182,plain,
~ spl48_1771,
inference(sat_conversion,[],[f119740]) ).
cnf(s5210,plain,
( ~ spl48_4
| spl48_1300 ),
inference(sat_conversion,[],[f119887]) ).
cnf(s5225,plain,
~ spl48_3,
inference(sat_conversion,[],[f120051]) ).
cnf(s5273,plain,
( spl48_6
| ~ spl48_1300
| spl48_1771 ),
inference(sat_conversion,[],[f120342]) ).
cnf(s5348,plain,
( ~ spl48_5
| ~ spl48_6 ),
inference(sat_conversion,[],[f121429]) ).
cnf(s5682,plain,
spl48_4,
inference(rat,[],[s4,s5225]) ).
cnf(s5684,plain,
spl48_1300,
inference(rat,[],[s5210,s5682]) ).
cnf(s5685,plain,
spl48_6,
inference(rat,[],[s5273,s5182,s5684]) ).
cnf(s5688,plain,
~ spl48_5,
inference(rat,[],[s5348,s5685]) ).
cnf(s5692,plain,
$false,
inference(rat,[],[s5,s5685,s5688]) ).
fof(f121447,plain,
$false,
inference(avatar_sat_refutation,[],[s5692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM926+7 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:47:56 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.55/3.59 % (3241164)Will run a generic schedule for satisfiability detection.
% 21.55/3.59 % (3241170)% WARNING: option uhcvi not known.
% 21.55/3.59 % (3241169)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1213586254_2999 on theBenchmark for (2999ds/0Mi)
% 21.55/3.59 % (3241174)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1293136449:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 21.55/3.59 % (3241170)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4291343835:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 21.55/3.59 % (3241171)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1168986280:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 21.55/3.59 % (3241175)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2992788259:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 21.55/3.59 % (3241172)dis+10_1_sil=32000:sp=arity:random_seed=3102324818:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 21.55/3.59 % (3241173)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2604404566:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 21.55/3.59 % (3241172)Instruction limit reached!
% 21.55/3.59 % (3241172)------------------------------
% 21.55/3.59 % (3241172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.55/3.59 % (3241172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.55/3.59 % (3241172)CaDiCaL version: 2.1.3
% 21.55/3.59 % (3241172)Termination reason: Instruction limit
% 21.55/3.59 % (3241172)Termination phase: Property scanning
% 21.55/3.59 % (3241172)Time elapsed: 0.041 s
% 21.55/3.59 % (3241172)Peak memory usage: 13 MB
% 21.55/3.59 % (3241172)Instructions burned: 104 (million)
% 21.55/3.59 % (3241173)Instruction limit reached!
% 21.55/3.59 % (3241173)------------------------------
% 21.55/3.59 % (3241173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.55/3.59 % (3241173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.55/3.59 % (3241173)CaDiCaL version: 2.1.3
% 21.55/3.59 % (3241173)Termination reason: Instruction limit
% 21.55/3.59 % (3241173)Termination phase: Property scanning
% 21.55/3.59 % (3241173)Time elapsed: 0.049 s
% 21.55/3.59 % (3241173)Peak memory usage: 13 MB
% 21.55/3.59 % (3241173)Instructions burned: 116 (million)
% 21.55/3.59 % (3241183)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3888520562:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 21.55/3.59 % (3241174)Instruction limit reached!
% 21.55/3.59 % (3241174)------------------------------
% 21.55/3.59 % (3241174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.55/3.59 % (3241174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.55/3.59 % (3241174)CaDiCaL version: 2.1.3
% 21.55/3.59 % (3241174)Termination reason: Instruction limit
% 21.55/3.59 % (3241174)Termination phase: Property scanning
% 21.55/3.59 % (3241174)Time elapsed: 0.055 s
% 21.55/3.59 % (3241174)Peak memory usage: 13 MB
% 21.55/3.59 % (3241174)Instructions burned: 133 (million)
% 21.55/3.59 % (3241175)Instruction limit reached!
% 21.55/3.59 % (3241175)------------------------------
% 21.55/3.59 % (3241175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.55/3.59 % (3241175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.55/3.59 % (3241175)CaDiCaL version: 2.1.3
% 21.55/3.59 % (3241175)Termination reason: Instruction limit
% 21.55/3.59 % (3241175)Termination phase: Saturation
% 21.55/3.59 % (3241175)Time elapsed: 0.067 s
% 21.55/3.59 % (3241175)Peak memory usage: 14 MB
% 21.55/3.59 % (3241175)Instructions burned: 160 (million)
% 21.55/3.59 % (3241184)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3801221494:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 21.55/3.59 % (3241186)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=757618440:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 21.55/3.59 % (3241187)ott-21_1_sil=16000:fs=off:random_seed=3301986545:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 21.55/3.59 % (3241184)Instruction limit reached!
% 21.55/3.59 % (3241184)------------------------------
% 21.55/3.59 % (3241184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.55/3.59 % (3241184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.56/6.65 % (3241184)CaDiCaL version: 2.1.3
% 43.56/6.65 % (3241184)Termination reason: Instruction limit
% 43.56/6.65 % (3241184)Termination phase: Property scanning
% 43.56/6.65 % (3241184)Time elapsed: 0.055 s
% 43.56/6.65 % (3241184)Peak memory usage: 13 MB
% 43.56/6.65 % (3241184)Instructions burned: 133 (million)
% 43.56/6.65 % (3241191)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=763563962:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 43.56/6.65 % (3241187)Instruction limit reached!
% 43.56/6.65 % (3241187)------------------------------
% 43.56/6.65 % (3241187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.56/6.65 % (3241187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.56/6.65 % (3241187)CaDiCaL version: 2.1.3
% 43.56/6.65 % (3241187)Termination reason: Instruction limit
% 43.56/6.65 % (3241187)Termination phase: Saturation
% 43.56/6.65 % (3241187)Time elapsed: 0.075 s
% 43.56/6.65 % (3241187)Peak memory usage: 14 MB
% 43.56/6.65 % (3241187)Instructions burned: 181 (million)
% 43.56/6.65 % (3241193)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1574636047:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 43.56/6.65 % (3241183)Instruction limit reached!
% 43.56/6.65 % (3241183)------------------------------
% 43.56/6.65 % (3241183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.56/6.65 % (3241183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.56/6.65 % (3241183)CaDiCaL version: 2.1.3
% 43.56/6.65 % (3241183)Termination reason: Instruction limit
% 43.56/6.65 % (3241183)Termination phase: Finite model building preprocessing
% 43.56/6.65 % (3241183)Time elapsed: 0.178 s
% 43.56/6.65 % (3241183)Peak memory usage: 19 MB
% 43.56/6.65 % (3241183)Instructions burned: 715 (million)
% 43.56/6.65 % (3241195)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3600374159:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 43.56/6.65 % (3241191)Instruction limit reached!
% 43.56/6.65 % (3241191)------------------------------
% 43.56/6.65 % (3241191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.56/6.65 % (3241191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.56/6.65 % (3241191)CaDiCaL version: 2.1.3
% 43.56/6.65 % (3241191)Termination reason: Instruction limit
% 43.56/6.65 % (3241191)Termination phase: Saturation
% 43.56/6.65 % (3241191)Time elapsed: 0.267 s
% 43.56/6.65 % (3241191)Peak memory usage: 16 MB
% 43.56/6.65 % (3241191)Instructions burned: 477 (million)
% 43.56/6.65 % (3241186)Instruction limit reached!
% 43.56/6.65 % (3241186)------------------------------
% 43.56/6.65 % (3241186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.56/6.65 % (3241186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.56/6.65 % (3241186)CaDiCaL version: 2.1.3
% 43.56/6.65 % (3241186)Termination reason: Instruction limit
% 43.56/6.65 % (3241186)Termination phase: Saturation
% 43.56/6.65 % (3241186)Time elapsed: 0.348 s
% 43.56/6.65 % (3241186)Peak memory usage: 19 MB
% 43.56/6.65 % (3241186)Instructions burned: 686 (million)
% 43.56/6.65 % (3241197)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3024505997:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 43.56/6.65 % (3241198)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1981141653:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 43.56/6.65 % (3241195)Instruction limit reached!
% 43.56/6.65 % (3241195)------------------------------
% 43.56/6.65 % (3241195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.56/6.65 % (3241195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.56/6.65 % (3241195)CaDiCaL version: 2.1.3
% 43.56/6.65 % (3241195)Termination reason: Instruction limit
% 43.56/6.65 % (3241195)Termination phase: Saturation
% 43.56/6.65 % (3241195)Time elapsed: 0.339 s
% 43.56/6.65 % (3241195)Peak memory usage: 24 MB
% 43.56/6.65 % (3241195)Instructions burned: 1180 (million)
% 43.56/6.65 % (3241193)Instruction limit reached!
% 43.56/6.65 % (3241193)------------------------------
% 43.56/6.65 % (3241193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.56/6.65 % (3241193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.56/6.65 % (3241193)CaDiCaL version: 2.1.3
% 43.56/6.65 % (3241193)Termination reason: Instruction limit
% 43.56/6.65 % (3241193)Termination phase: Finite model building preprocessing
% 29.07/6.73 % (3241193)Time elapsed: 0.411 s
% 29.07/6.73 % (3241193)Peak memory usage: 19 MB
% 29.07/6.73 % (3241193)Instructions burned: 866 (million)
% 29.07/6.73 % (3241201)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1298826069:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 29.07/6.73 % (3241203)fmb+10_1_sil=64000:random_seed=3151022078:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 29.07/6.73 % (3241198)Instruction limit reached!
% 29.07/6.73 % (3241198)------------------------------
% 29.07/6.73 % (3241198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241198)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241198)Termination reason: Instruction limit
% 29.07/6.73 % (3241198)Termination phase: Saturation
% 29.07/6.73 % (3241198)Time elapsed: 0.376 s
% 29.07/6.73 % (3241198)Peak memory usage: 19 MB
% 29.07/6.73 % (3241198)Instructions burned: 692 (million)
% 29.07/6.73 % (3241201)Instruction limit reached!
% 29.07/6.73 % (3241201)------------------------------
% 29.07/6.73 % (3241201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241201)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241201)Termination reason: Instruction limit
% 29.07/6.73 % (3241201)Termination phase: Saturation
% 29.07/6.73 % (3241201)Time elapsed: 0.235 s
% 29.07/6.73 % (3241201)Peak memory usage: 20 MB
% 29.07/6.73 % (3241201)Instructions burned: 879 (million)
% 29.07/6.73 % (3241205)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2206295007:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 29.07/6.73 % (3241206)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2197453532:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 29.07/6.73 % (3241197)Instruction limit reached!
% 29.07/6.73 % (3241197)------------------------------
% 29.07/6.73 % (3241197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241197)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241197)Termination reason: Instruction limit
% 29.07/6.73 % (3241197)Termination phase: Finite model building preprocessing
% 29.07/6.73 % (3241197)Time elapsed: 0.424 s
% 29.07/6.73 % (3241197)Peak memory usage: 19 MB
% 29.07/6.73 % (3241197)Instructions burned: 889 (million)
% 29.07/6.73 % (3241209)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3694319133:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 29.07/6.73 % (3241206)Instruction limit reached!
% 29.07/6.73 % (3241206)------------------------------
% 29.07/6.73 % (3241206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241206)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241206)Termination reason: Instruction limit
% 29.07/6.73 % (3241206)Termination phase: Finite model building preprocessing
% 29.07/6.73 % (3241206)Time elapsed: 0.233 s
% 29.07/6.73 % (3241206)Peak memory usage: 19 MB
% 29.07/6.73 % (3241206)Instructions burned: 922 (million)
% 29.07/6.73 % (3241211)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=179313510:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 29.07/6.73 % (3241211)Instruction limit reached!
% 29.07/6.73 % (3241211)------------------------------
% 29.07/6.73 % (3241211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241211)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241211)Termination reason: Instruction limit
% 29.07/6.73 % (3241211)Termination phase: Saturation
% 29.07/6.73 % (3241211)Time elapsed: 0.429 s
% 29.07/6.73 % (3241211)Peak memory usage: 33 MB
% 29.07/6.73 % (3241211)Instructions burned: 1475 (million)
% 29.07/6.73 % (3241213)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2188298988:i=6324_2984 on theBenchmark for (2984ds/6324Mi)
% 29.07/6.73 % TRYING [1]
% 29.07/6.73 % TRYING [2]
% 29.07/6.73 % (3241213)Cannot represent all propositional literals internally
% 29.07/6.73 % (3241213)Refutation not found, incomplete strategy
% 29.07/6.73 % (3241213)------------------------------
% 29.07/6.73 % (3241213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241213)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241213)Termination reason: Refutation not found, incomplete strategy
% 29.07/6.73 % (3241213)Time elapsed: 1.565 s
% 29.07/6.73 % (3241213)Peak memory usage: 68 MB
% 29.07/6.73 % (3241213)Instructions burned: 5900 (million)
% 29.07/6.73 % (3241213)------------------------------
% 29.07/6.73 % (3241213)------------------------------
% 29.07/6.73 % (3241215)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1608011107:fmbsr=2.30978:i=2174_2968 on theBenchmark for (2968ds/2174Mi)
% 29.07/6.73 % TRYING [1]
% 29.07/6.73 % (3241215)Instruction limit reached!
% 29.07/6.73 % (3241215)------------------------------
% 29.07/6.73 % (3241215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241215)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241215)Termination reason: Instruction limit
% 29.07/6.73 % (3241215)Termination phase: Finite model building preprocessing
% 29.07/6.73 % (3241215)Time elapsed: 0.559 s
% 29.07/6.73 % (3241215)Peak memory usage: 26 MB
% 29.07/6.73 % (3241215)Instructions burned: 2177 (million)
% 29.07/6.73 % (3241217)ott-2_1_sil=16000:newcnf=on:random_seed=847000339:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2962 on theBenchmark for (2962ds/869Mi)
% 29.07/6.73 % (3241209)Instruction limit reached!
% 29.07/6.73 % (3241209)------------------------------
% 29.07/6.73 % (3241209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241209)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241209)Termination reason: Instruction limit
% 29.07/6.73 % (3241209)Termination phase: Saturation
% 29.07/6.73 % (3241209)Time elapsed: 2.836 s
% 29.07/6.73 % (3241209)Peak memory usage: 37 MB
% 29.07/6.73 % (3241209)Instructions burned: 5132 (million)
% 29.07/6.73 % TRYING [2]
% 29.07/6.73 % (3241219)ott+10_1_sil=32000:tgt=ground:random_seed=1293237756:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 29.07/6.73 % (3241205)Cannot represent all propositional literals internally
% 29.07/6.73 % (3241205)Refutation not found, incomplete strategy
% 29.07/6.73 % (3241205)------------------------------
% 29.07/6.73 % (3241205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241205)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241205)Termination reason: Refutation not found, incomplete strategy
% 29.07/6.73 % (3241205)Time elapsed: 2.924 s
% 29.07/6.73 % (3241205)Peak memory usage: 67 MB
% 29.07/6.73 % (3241205)Instructions burned: 5851 (million)
% 29.07/6.73 % (3241205)------------------------------
% 29.07/6.73 % (3241205)------------------------------
% 29.07/6.73 % (3241221)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=525781975:i=54282_2961 on theBenchmark for (2961ds/54282Mi)
% 29.07/6.73 % TRYING [3]
% 29.07/6.73 % (3241217)Instruction limit reached!
% 29.07/6.73 % (3241217)------------------------------
% 29.07/6.73 % (3241217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241217)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241217)Termination reason: Instruction limit
% 29.07/6.73 % (3241217)Termination phase: Saturation
% 29.07/6.73 % (3241217)Time elapsed: 0.243 s
% 29.07/6.73 % (3241217)Peak memory usage: 20 MB
% 29.07/6.73 % (3241217)Instructions burned: 873 (million)
% 29.07/6.73 % (3241223)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2182789832:i=3512:aac=none_2959 on theBenchmark for (2959ds/3512Mi)
% 29.07/6.73 % (3241223)Instruction limit reached!
% 29.07/6.73 % (3241223)------------------------------
% 29.07/6.73 % (3241223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241223)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241223)Termination reason: Instruction limit
% 29.07/6.73 % (3241223)Termination phase: Saturation
% 29.07/6.73 % (3241223)Time elapsed: 1.065 s
% 29.07/6.73 % (3241223)Peak memory usage: 33 MB
% 29.07/6.73 % (3241223)Instructions burned: 3515 (million)
% 29.07/6.73 % (3241225)dis+21_1_sil=32000:sas=cadical:random_seed=1579927672:i=3773:amm=off_2949 on theBenchmark for (2949ds/3773Mi)
% 29.07/6.73 % (3241170) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3241164-3241170"...
% 29.07/6.73 % (3241225)Instruction limit reached!
% 29.07/6.73 % (3241225)------------------------------
% 29.07/6.73 % (3241225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241225)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241225)Termination reason: Instruction limit
% 29.07/6.73 % (3241225)Termination phase: Saturation
% 29.07/6.73 % (3241225)Time elapsed: 1.130 s
% 29.07/6.73 % (3241225)Peak memory usage: 33 MB
% 29.07/6.73 % (3241225)Instructions burned: 3775 (million)
% 29.07/6.73 % (3241170)...printing done.
% 29.07/6.73 % (3241170)Refutation found. Thanks to Tanya!
% 29.07/6.73 % SZS status Theorem for theBenchmark
% 29.07/6.73 % SZS output start Proof for theBenchmark
% See solution above
% 29.07/6.73 % (3241170)------------------------------
% 29.07/6.73 % (3241170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.07/6.73 % (3241170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.07/6.73 % (3241170)CaDiCaL version: 2.1.3
% 29.07/6.73 % (3241170)Termination reason: Refutation
% 29.07/6.73 % (3241170)Time elapsed: 6.151 s
% 29.07/6.73 % (3241170)Peak memory usage: 60 MB
% 29.07/6.73 % (3241170)Instructions burned: 11044 (million)
% 29.07/6.73 % (3241164)Success in time 6.302 s
% 29.07/6.73 % Vampire exiting
%------------------------------------------------------------------------------