%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV621_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:19:07 PM UTC 2026
% Result : Theorem 6.25s 1.68s
% Output : Refutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 91 ( 38 unt; 0 typ; 2 def)
% Number of atoms : 219 ( 90 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 242 ( 114 ~; 100 |; 11 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 32 ( 30 usr; 3 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 4 con; 0-5 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?; 70 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
complex: $tType ).
tff(type_def_6,type,
bool: $tType ).
tff(type_def_7,type,
nat: $tType ).
tff(type_def_8,type,
real: $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
big_co1399186613setsum:
!>[X0: $tType,X1: $tType] : fun(fun(X0,X1),fun(fun(X0,bool),X1)) ).
tff(func_def_1,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_2,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( fun(X0,fun(X1,X2)) > fun(X1,fun(X0,X2)) ) ).
tff(func_def_3,type,
combk:
!>[X0: $tType,X1: $tType] : ( X0 > fun(X1,X0) ) ).
tff(func_def_4,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_5,type,
fFT_Mirabelle_root: nat > complex ).
tff(func_def_6,type,
inverse_divide:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_7,type,
minus_minus:
!>[X0: $tType] : fun(X0,fun(X0,X0)) ).
tff(func_def_8,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_9,type,
times_times:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_10,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_11,type,
power_power:
!>[X0: $tType] : ( X0 > fun(nat,X0) ) ).
tff(func_def_12,type,
ord_atLeastLessThan:
!>[X0: $tType] : ( ( X0 * X0 ) > fun(X0,bool) ) ).
tff(func_def_13,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_14,type,
fFalse: bool ).
tff(func_def_15,type,
fTrue: bool ).
tff(func_def_16,type,
k: nat ).
tff(func_def_17,type,
n: nat ).
tff(func_def_18,type,
sK0: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_19,type,
sK1: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_20,type,
sK2: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_21,type,
sK3: ( fun(nat,bool) * nat ) > nat ).
tff(func_def_22,type,
sK4:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > X0 ) ).
tff(func_def_23,type,
sK5: ( real * nat ) > real ).
tff(func_def_24,type,
sK6: ( real * nat ) > real ).
tff(pred_def_1,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
power:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
field:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
mult_zero:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
group_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
semiring_0:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
monoid_mult:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
division_ring:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
comm_semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_14,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_15,type,
comm_monoid_add:
!>[X0: $tType] : $o ).
tff(pred_def_16,type,
no_zero_divisors:
!>[X0: $tType] : $o ).
tff(pred_def_17,type,
linordered_field:
!>[X0: $tType] : $o ).
tff(pred_def_18,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_19,type,
field_inverse_zero:
!>[X0: $tType] : $o ).
tff(pred_def_20,type,
ordered_ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_21,type,
ring_n68954251visors:
!>[X0: $tType] : $o ).
tff(pred_def_22,type,
ring_11004092258visors:
!>[X0: $tType] : $o ).
tff(pred_def_23,type,
divisi14063676e_zero:
!>[X0: $tType] : $o ).
tff(pred_def_24,type,
linord1117847801e_zero:
!>[X0: $tType] : $o ).
tff(pred_def_25,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_26,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_27,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_28,type,
pp: bool > $o ).
tff(f1,axiom,
ord_less(nat,zero_zero(nat),k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I1_J) ).
tff(f2,axiom,
ord_less(nat,k,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I2_J) ).
tff(f4,axiom,
! [X0: $tType] :
( field(X0)
=> ! [X1: nat,X2: X0] :
( ( X2 != one_one(X0) )
=> ( aa(fun(nat,bool),X0,aa(fun(nat,X0),fun(fun(nat,bool),X0),big_co1399186613setsum(nat,X0),power_power(X0,X2)),ord_atLeastLessThan(nat,zero_zero(nat),X1)) = aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,power_power(X0,X2),X1)),one_one(X0))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X2),one_one(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_geometric__sum) ).
tff(f7,axiom,
! [X0: $tType] :
( ( power(X0)
& mult_zero(X0)
& no_zero_divisors(X0)
& zero_neq_one(X0) )
=> ! [X1: nat,X2: X0] :
( ( aa(nat,X0,power_power(X0,X2),X1) = zero_zero(X0) )
<=> ( ( X2 = zero_zero(X0) )
& ( X1 != zero_zero(nat) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_power__eq__0__iff) ).
tff(f11,axiom,
! [X0: $tType] :
( divisi14063676e_zero(X0)
=> ! [X1: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),X1),zero_zero(X0)) = zero_zero(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_divide__zero) ).
tff(f12,axiom,
! [X0: $tType] :
( group_add(X0)
=> ! [X1: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) = zero_zero(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_diff__self) ).
tff(f14,axiom,
! [X0: $tType] :
( field_inverse_zero(X0)
=> ! [X1: nat,X2: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),one_one(X0)),aa(nat,X0,power_power(X0,X2),X1)) = aa(nat,X0,power_power(X0,aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),one_one(X0)),X2)),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_power__one__over) ).
tff(f41,axiom,
! [X0: nat] : ( fFT_Mirabelle_root(X0) != zero_zero(complex) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_40_root__nonzero) ).
tff(f45,axiom,
! [X0: nat,X1: nat] :
( ord_less(nat,zero_zero(nat),X1)
=> ( ord_less(nat,X1,X0)
=> ( aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,fFT_Mirabelle_root(X0)),X1))),ord_atLeastLessThan(nat,zero_zero(nat),X0)) = zero_zero(complex) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_root__summation) ).
tff(f56,axiom,
! [X0: $tType] :
( division_ring(X0)
=> ! [X1: X0,X2: X0] :
( ( X2 != zero_zero(X0) )
=> ( ( aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),X1),X2) = one_one(X0) )
<=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_right__inverse__eq) ).
tff(f136,axiom,
divisi14063676e_zero(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Fields_Odivision__ring__inverse__zero) ).
tff(f139,axiom,
field_inverse_zero(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Fields_Ofield__inverse__zero) ).
tff(f140,axiom,
no_zero_divisors(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Rings_Ono__zero__divisors) ).
tff(f143,axiom,
division_ring(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Fields_Odivision__ring) ).
tff(f145,axiom,
zero_neq_one(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Rings_Ozero__neq__one) ).
tff(f148,axiom,
group_add(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Groups_Ogroup__add) ).
tff(f149,axiom,
mult_zero(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Rings_Omult__zero) ).
tff(f150,axiom,
field(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Fields_Ofield) ).
tff(f151,axiom,
power(complex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex_Ocomplex___Power_Opower) ).
tff(f160,conjecture,
aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k))),ord_atLeastLessThan(nat,zero_zero(nat),n)) = aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k)),n)),one_one(complex))),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k)),one_one(complex))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f161,negated_conjecture,
( ( ~ aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k))),ord_atLeastLessThan(nat,zero_zero(nat),n)) ) = aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k)),n)),one_one(complex))),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k)),one_one(complex))) ),
inference(negated_conjecture,[status(cth)],[f160]) ).
tff(f162,plain,
aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k))),ord_atLeastLessThan(nat,zero_zero(nat),n)) != aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k)),n)),one_one(complex))),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k)),one_one(complex))),
inference(flattening,[],[f161]) ).
tff(f163,plain,
! [X0: $tType] :
( ! [X1: nat,X2: X0] :
( ( aa(fun(nat,bool),X0,aa(fun(nat,X0),fun(fun(nat,bool),X0),big_co1399186613setsum(nat,X0),power_power(X0,X2)),ord_atLeastLessThan(nat,zero_zero(nat),X1)) = aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,power_power(X0,X2),X1)),one_one(X0))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X2),one_one(X0))) )
| ( one_one(X0) = X2 ) )
| ~ field(X0) ),
inference(ennf_transformation,[],[f4]) ).
tff(f166,plain,
! [X0: $tType] :
( ! [X1: nat,X2: X0] :
( ( aa(nat,X0,power_power(X0,X2),X1) = zero_zero(X0) )
<=> ( ( X2 = zero_zero(X0) )
& ( X1 != zero_zero(nat) ) ) )
| ~ power(X0)
| ~ mult_zero(X0)
| ~ no_zero_divisors(X0)
| ~ zero_neq_one(X0) ),
inference(ennf_transformation,[],[f7]) ).
tff(f167,plain,
! [X0: $tType] :
( ! [X1: nat,X2: X0] :
( ( aa(nat,X0,power_power(X0,X2),X1) = zero_zero(X0) )
<=> ( ( X2 = zero_zero(X0) )
& ( X1 != zero_zero(nat) ) ) )
| ~ power(X0)
| ~ mult_zero(X0)
| ~ no_zero_divisors(X0)
| ~ zero_neq_one(X0) ),
inference(flattening,[],[f166]) ).
tff(f171,plain,
! [X0: $tType] :
( ! [X1: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),X1),zero_zero(X0)) = zero_zero(X0) )
| ~ divisi14063676e_zero(X0) ),
inference(ennf_transformation,[],[f11]) ).
tff(f172,plain,
! [X0: $tType] :
( ! [X1: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) = zero_zero(X0) )
| ~ group_add(X0) ),
inference(ennf_transformation,[],[f12]) ).
tff(f175,plain,
! [X0: $tType] :
( ! [X1: nat,X2: X0] : ( aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),one_one(X0)),aa(nat,X0,power_power(X0,X2),X1)) = aa(nat,X0,power_power(X0,aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),one_one(X0)),X2)),X1) )
| ~ field_inverse_zero(X0) ),
inference(ennf_transformation,[],[f14]) ).
tff(f218,plain,
! [X0: nat,X1: nat] :
( ( aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,fFT_Mirabelle_root(X0)),X1))),ord_atLeastLessThan(nat,zero_zero(nat),X0)) = zero_zero(complex) )
| ~ ord_less(nat,X1,X0)
| ~ ord_less(nat,zero_zero(nat),X1) ),
inference(ennf_transformation,[],[f45]) ).
tff(f219,plain,
! [X0: nat,X1: nat] :
( ( aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,fFT_Mirabelle_root(X0)),X1))),ord_atLeastLessThan(nat,zero_zero(nat),X0)) = zero_zero(complex) )
| ~ ord_less(nat,X1,X0)
| ~ ord_less(nat,zero_zero(nat),X1) ),
inference(flattening,[],[f218]) ).
tff(f230,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ( ( aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),X1),X2) = one_one(X0) )
<=> ( X1 = X2 ) )
| ( zero_zero(X0) = X2 ) )
| ~ division_ring(X0) ),
inference(ennf_transformation,[],[f56]) ).
tff(f265,plain,
! [X0: $tType] :
( ! [X1: nat,X2: X0] :
( ( ( aa(nat,X0,power_power(X0,X2),X1) = zero_zero(X0) )
| ( zero_zero(X0) != X2 )
| ( zero_zero(nat) = X1 ) )
& ( ( ( X2 = zero_zero(X0) )
& ( X1 != zero_zero(nat) ) )
| ( aa(nat,X0,power_power(X0,X2),X1) != zero_zero(X0) ) ) )
| ~ power(X0)
| ~ mult_zero(X0)
| ~ no_zero_divisors(X0)
| ~ zero_neq_one(X0) ),
inference(nnf_transformation,[],[f167]) ).
tff(f266,plain,
! [X0: $tType] :
( ! [X1: nat,X2: X0] :
( ( ( aa(nat,X0,power_power(X0,X2),X1) = zero_zero(X0) )
| ( zero_zero(X0) != X2 )
| ( zero_zero(nat) = X1 ) )
& ( ( ( X2 = zero_zero(X0) )
& ( X1 != zero_zero(nat) ) )
| ( aa(nat,X0,power_power(X0,X2),X1) != zero_zero(X0) ) ) )
| ~ power(X0)
| ~ mult_zero(X0)
| ~ no_zero_divisors(X0)
| ~ zero_neq_one(X0) ),
inference(flattening,[],[f265]) ).
tff(f286,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] :
( ( ( ( aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),X1),X2) = one_one(X0) )
| ( X1 != X2 ) )
& ( ( X1 = X2 )
| ( one_one(X0) != aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),X1),X2) ) ) )
| ( zero_zero(X0) = X2 ) )
| ~ division_ring(X0) ),
inference(nnf_transformation,[],[f230]) ).
tff(f305,plain,
ord_less(nat,zero_zero(nat),k),
inference(cnf_transformation,[],[f1]) ).
tff(f306,plain,
ord_less(nat,k,n),
inference(cnf_transformation,[],[f2]) ).
tff(f308,plain,
! [X0: $tType,X2: X0,X1: nat] :
( ( aa(fun(nat,bool),X0,aa(fun(nat,X0),fun(fun(nat,bool),X0),big_co1399186613setsum(nat,X0),power_power(X0,X2)),ord_atLeastLessThan(nat,zero_zero(nat),X1)) = aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),aa(nat,X0,power_power(X0,X2),X1)),one_one(X0))),aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X2),one_one(X0))) )
| ( one_one(X0) = X2 )
| ~ field(X0) ),
inference(cnf_transformation,[],[f163]) ).
tff(f313,plain,
! [X0: $tType,X2: X0,X1: nat] :
( ( aa(nat,X0,power_power(X0,X2),X1) != zero_zero(X0) )
| ( zero_zero(X0) = X2 )
| ~ power(X0)
| ~ mult_zero(X0)
| ~ no_zero_divisors(X0)
| ~ zero_neq_one(X0) ),
inference(cnf_transformation,[],[f266]) ).
tff(f318,plain,
! [X0: $tType,X1: X0] :
( ( zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),X1),zero_zero(X0)) )
| ~ divisi14063676e_zero(X0) ),
inference(cnf_transformation,[],[f171]) ).
tff(f319,plain,
! [X0: $tType,X1: X0] :
( ( zero_zero(X0) = aa(X0,X0,aa(X0,fun(X0,X0),minus_minus(X0),X1),X1) )
| ~ group_add(X0) ),
inference(cnf_transformation,[],[f172]) ).
tff(f322,plain,
! [X0: $tType,X2: X0,X1: nat] :
( ( aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),one_one(X0)),aa(nat,X0,power_power(X0,X2),X1)) = aa(nat,X0,power_power(X0,aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),one_one(X0)),X2)),X1) )
| ~ field_inverse_zero(X0) ),
inference(cnf_transformation,[],[f175]) ).
tff(f373,plain,
! [X0: nat] : ( fFT_Mirabelle_root(X0) != zero_zero(complex) ),
inference(cnf_transformation,[],[f41]) ).
tff(f380,plain,
! [X0: nat,X1: nat] :
( ( zero_zero(complex) = aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,fFT_Mirabelle_root(X0)),X1))),ord_atLeastLessThan(nat,zero_zero(nat),X0)) )
| ~ ord_less(nat,X1,X0)
| ~ ord_less(nat,zero_zero(nat),X1) ),
inference(cnf_transformation,[],[f219]) ).
tff(f393,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ( one_one(X0) != aa(X0,X0,aa(X0,fun(X0,X0),inverse_divide(X0),X1),X2) )
| ( X1 = X2 )
| ( zero_zero(X0) = X2 )
| ~ division_ring(X0) ),
inference(cnf_transformation,[],[f286]) ).
tff(f500,plain,
divisi14063676e_zero(complex),
inference(cnf_transformation,[],[f136]) ).
tff(f503,plain,
field_inverse_zero(complex),
inference(cnf_transformation,[],[f139]) ).
tff(f504,plain,
no_zero_divisors(complex),
inference(cnf_transformation,[],[f140]) ).
tff(f507,plain,
division_ring(complex),
inference(cnf_transformation,[],[f143]) ).
tff(f509,plain,
zero_neq_one(complex),
inference(cnf_transformation,[],[f145]) ).
tff(f512,plain,
group_add(complex),
inference(cnf_transformation,[],[f148]) ).
tff(f513,plain,
mult_zero(complex),
inference(cnf_transformation,[],[f149]) ).
tff(f514,plain,
field(complex),
inference(cnf_transformation,[],[f150]) ).
tff(f515,plain,
power(complex),
inference(cnf_transformation,[],[f151]) ).
tff(f524,plain,
aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k))),ord_atLeastLessThan(nat,zero_zero(nat),n)) != aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k)),n)),one_one(complex))),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k)),one_one(complex))),
inference(cnf_transformation,[],[f162]) ).
tff(f560,plain,
( ( aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k))),ord_atLeastLessThan(nat,zero_zero(nat),n)) != aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k))),ord_atLeastLessThan(nat,zero_zero(nat),n)) )
| ( one_one(complex) = aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k) )
| ~ field(complex) ),
inference(superposition,[],[f524,f308]) ).
tff(f561,plain,
( ( one_one(complex) = aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k) )
| ~ field(complex) ),
inference(trivial_inequality_removal,[],[f560]) ).
tff(f562,plain,
one_one(complex) = aa(nat,complex,power_power(complex,aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),fFT_Mirabelle_root(n))),k),
inference(forward_subsumption_resolution,[],[f561,f514]) ).
tff(f565,plain,
aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,one_one(complex))),ord_atLeastLessThan(nat,zero_zero(nat),n)) != aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,one_one(complex)),n)),one_one(complex))),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),one_one(complex)),one_one(complex))),
inference(superposition,[],[f524,f562]) ).
tff(f566,plain,
( ( one_one(complex) = aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k)) )
| ~ field_inverse_zero(complex) ),
inference(superposition,[],[f322,f562]) ).
tff(f645,plain,
one_one(complex) = aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),one_one(complex)),aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k)),
inference(forward_subsumption_resolution,[],[f566,f503]) ).
tff(f857,plain,
( ( one_one(complex) != one_one(complex) )
| ( one_one(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) )
| ( zero_zero(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) )
| ~ division_ring(complex) ),
inference(superposition,[],[f393,f645]) ).
tff(f859,plain,
( ( one_one(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) )
| ( zero_zero(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) )
| ~ division_ring(complex) ),
inference(trivial_inequality_removal,[],[f857]) ).
tff(f860,plain,
( ( one_one(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) )
| ( zero_zero(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) ) ),
inference(forward_subsumption_resolution,[],[f859,f507]) ).
tff(f889,definition,
( spl7_45
<=> ( zero_zero(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) ) ),
introduced(definition,[new_symbols(definition,[spl7_45])],[avatar_definition]) ).
tff(f890,plain,
( ( zero_zero(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) )
| ~ spl7_45 ),
inference(avatar_component_clause,[],[f889]) ).
tff(f892,definition,
( spl7_46
<=> ( one_one(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) ) ),
introduced(definition,[new_symbols(definition,[spl7_46])],[avatar_definition]) ).
tff(f893,plain,
( ( one_one(complex) = aa(nat,complex,power_power(complex,fFT_Mirabelle_root(n)),k) )
| ~ spl7_46 ),
inference(avatar_component_clause,[],[f892]) ).
tff(f894,plain,
( spl7_45
| spl7_46 ),
inference(avatar_split_clause,[],[f860,f892,f889]) ).
tff(f917,plain,
( ( zero_zero(complex) != zero_zero(complex) )
| ( zero_zero(complex) = fFT_Mirabelle_root(n) )
| ~ power(complex)
| ~ mult_zero(complex)
| ~ no_zero_divisors(complex)
| ~ zero_neq_one(complex)
| ~ spl7_45 ),
inference(superposition,[],[f313,f890]) ).
tff(f941,plain,
( ( zero_zero(complex) = fFT_Mirabelle_root(n) )
| ~ power(complex)
| ~ mult_zero(complex)
| ~ no_zero_divisors(complex)
| ~ zero_neq_one(complex)
| ~ spl7_45 ),
inference(trivial_inequality_removal,[],[f917]) ).
tff(f947,plain,
( ~ power(complex)
| ~ mult_zero(complex)
| ~ no_zero_divisors(complex)
| ~ zero_neq_one(complex)
| ~ spl7_45 ),
inference(forward_subsumption_resolution,[],[f941,f373]) ).
tff(f954,plain,
( ~ mult_zero(complex)
| ~ no_zero_divisors(complex)
| ~ zero_neq_one(complex)
| ~ spl7_45 ),
inference(forward_subsumption_resolution,[],[f947,f515]) ).
tff(f956,plain,
( ~ no_zero_divisors(complex)
| ~ zero_neq_one(complex)
| ~ spl7_45 ),
inference(forward_subsumption_resolution,[],[f954,f513]) ).
tff(f957,plain,
( ~ zero_neq_one(complex)
| ~ spl7_45 ),
inference(forward_subsumption_resolution,[],[f956,f504]) ).
tff(f958,plain,
( $false
| ~ spl7_45 ),
inference(forward_subsumption_resolution,[],[f957,f509]) ).
tff(f959,plain,
~ spl7_45,
inference(avatar_contradiction_clause,[],[f958]) ).
tff(f1068,plain,
( ( zero_zero(complex) = aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,one_one(complex))),ord_atLeastLessThan(nat,zero_zero(nat),n)) )
| ~ ord_less(nat,k,n)
| ~ ord_less(nat,zero_zero(nat),k)
| ~ spl7_46 ),
inference(superposition,[],[f380,f893]) ).
tff(f1098,plain,
( ( zero_zero(complex) = aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,one_one(complex))),ord_atLeastLessThan(nat,zero_zero(nat),n)) )
| ~ ord_less(nat,zero_zero(nat),k)
| ~ spl7_46 ),
inference(forward_subsumption_resolution,[],[f1068,f306]) ).
tff(f1107,plain,
( ( zero_zero(complex) = aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,one_one(complex))),ord_atLeastLessThan(nat,zero_zero(nat),n)) )
| ~ spl7_46 ),
inference(forward_subsumption_resolution,[],[f1098,f305]) ).
tff(f1865,plain,
( ( aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,one_one(complex))),ord_atLeastLessThan(nat,zero_zero(nat),n)) != aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,one_one(complex)),n)),one_one(complex))),zero_zero(complex)) )
| ~ group_add(complex) ),
inference(superposition,[],[f565,f319]) ).
tff(f1866,plain,
aa(fun(nat,bool),complex,aa(fun(nat,complex),fun(fun(nat,bool),complex),big_co1399186613setsum(nat,complex),power_power(complex,one_one(complex))),ord_atLeastLessThan(nat,zero_zero(nat),n)) != aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,one_one(complex)),n)),one_one(complex))),zero_zero(complex)),
inference(forward_subsumption_resolution,[],[f1865,f512]) ).
tff(f2831,plain,
( ( zero_zero(complex) != aa(complex,complex,aa(complex,fun(complex,complex),inverse_divide(complex),aa(complex,complex,aa(complex,fun(complex,complex),minus_minus(complex),aa(nat,complex,power_power(complex,one_one(complex)),n)),one_one(complex))),zero_zero(complex)) )
| ~ spl7_46 ),
inference(forward_demodulation,[],[f1866,f1107]) ).
tff(f2836,plain,
( ( zero_zero(complex) != zero_zero(complex) )
| ~ divisi14063676e_zero(complex)
| ~ spl7_46 ),
inference(superposition,[],[f2831,f318]) ).
tff(f2837,plain,
( ~ divisi14063676e_zero(complex)
| ~ spl7_46 ),
inference(trivial_inequality_removal,[],[f2836]) ).
tff(f2838,plain,
( $false
| ~ spl7_46 ),
inference(forward_subsumption_resolution,[],[f2837,f500]) ).
tff(f2839,plain,
~ spl7_46,
inference(avatar_contradiction_clause,[],[f2838]) ).
cnf(s50,plain,
( spl7_45
| spl7_46 ),
inference(sat_conversion,[],[f894]) ).
cnf(s52,plain,
~ spl7_45,
inference(sat_conversion,[],[f959]) ).
cnf(s166,plain,
~ spl7_46,
inference(sat_conversion,[],[f2839]) ).
cnf(s184,plain,
$false,
inference(rat,[],[s50,s166,s52]) ).
tff(f2841,plain,
$false,
inference(avatar_sat_refutation,[],[s184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV621_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n008.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 12:04:39 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.25/1.68 % (2206124)Detected formulas, will run a generic FOF schedule.
% 6.25/1.68 % (2206133)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1087928999:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.25/1.68 % (2206134)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3351339750:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.25/1.68 % (2206135)dis-21_1_sil=8000:lcm=predicate:random_seed=1074323107:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.25/1.68 % (2206131)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2980294516:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.25/1.68 % (2206132)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=981534181:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.25/1.68 % (2206129)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4256193166:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.25/1.68 % (2206130)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1812980599:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.25/1.68 % (2206132)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.25/1.68 % (2206133)Instruction limit reached!
% 6.25/1.68 % (2206133)------------------------------
% 6.25/1.68 % (2206133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206133)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206133)Termination reason: Instruction limit
% 6.25/1.68 % (2206133)Termination phase: Saturation
% 6.25/1.68 % (2206133)Time elapsed: 0.034 s
% 6.25/1.68 % (2206133)Peak memory usage: 88 MB
% 6.25/1.68 % (2206133)Instructions burned: 121 (million)
% 6.25/1.68 % (2206132)Refutation not found, incomplete strategy
% 6.25/1.68 % (2206132)------------------------------
% 6.25/1.68 % (2206132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206132)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206132)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.68 % (2206132)Time elapsed: 0.003 s
% 6.25/1.68 % (2206132)Peak memory usage: 88 MB
% 6.25/1.68 % (2206132)Instructions burned: 4 (million)
% 6.25/1.68 % (2206131)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 6.25/1.68 % (2206135)Instruction limit reached!
% 6.25/1.68 % (2206135)------------------------------
% 6.25/1.68 % (2206135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206135)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206135)Termination reason: Instruction limit
% 6.25/1.68 % (2206135)Termination phase: Saturation
% 6.25/1.68 % (2206135)Time elapsed: 0.070 s
% 6.25/1.68 % (2206135)Peak memory usage: 89 MB
% 6.25/1.68 % (2206135)Instructions burned: 129 (million)
% 6.25/1.68 % (2206134)Instruction limit reached!
% 6.25/1.68 % (2206134)------------------------------
% 6.25/1.68 % (2206134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206134)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206134)Termination reason: Instruction limit
% 6.25/1.68 % (2206134)Termination phase: Saturation
% 6.25/1.68 % (2206134)Time elapsed: 0.094 s
% 6.25/1.68 % (2206134)Peak memory usage: 89 MB
% 6.25/1.68 % (2206134)Instructions burned: 141 (million)
% 6.25/1.68 % (2206143)lrs+10_1_sil=8000:sp=occurrence:random_seed=3840798073:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.25/1.68 % (2206143)Instruction limit reached!
% 6.25/1.68 % (2206143)------------------------------
% 6.25/1.68 % (2206143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206143)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206143)Termination reason: Instruction limit
% 6.25/1.68 % (2206143)Termination phase: Saturation
% 6.25/1.68 % (2206143)Time elapsed: 0.084 s
% 6.25/1.68 % (2206143)Peak memory usage: 90 MB
% 6.25/1.68 % (2206143)Instructions burned: 289 (million)
% 6.25/1.68 % (2206144)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2460927900:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.25/1.68 % (2206145)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1966444740:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.25/1.68 % (2206132)------------------------------
% 6.25/1.68 % (2206132)------------------------------
% 6.25/1.68 % (2206144)Instruction limit reached!
% 6.25/1.68 % (2206144)------------------------------
% 6.25/1.68 % (2206144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206144)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206144)Termination reason: Instruction limit
% 6.25/1.68 % (2206144)Termination phase: Saturation
% 6.25/1.68 % (2206144)Time elapsed: 0.082 s
% 6.25/1.68 % (2206144)Peak memory usage: 90 MB
% 6.25/1.68 % (2206144)Instructions burned: 157 (million)
% 6.25/1.68 % (2206147)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4066823194:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.25/1.68 % (2206147)Instruction limit reached!
% 6.25/1.68 % (2206147)------------------------------
% 6.25/1.68 % (2206147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206147)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206147)Termination reason: Instruction limit
% 6.25/1.68 % (2206147)Termination phase: Saturation
% 6.25/1.68 % (2206147)Time elapsed: 0.071 s
% 6.25/1.68 % (2206147)Peak memory usage: 90 MB
% 6.25/1.68 % (2206147)Instructions burned: 251 (million)
% 6.25/1.68 % Exception at run slice level% Exception at run slice level
% 6.25/1.68
% 6.25/1.68 User error: User error: GNN currently only supports monomorphic FOL.GNN currently only supports monomorphic FOL.
% 6.25/1.68
% 6.25/1.68 % Exception at run slice level
% 6.25/1.68 User error: GNN currently only supports monomorphic FOL.
% 6.25/1.68 % (2206150)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1357866264:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.25/1.68 % (2206151)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=747290931:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.25/1.68 % (2206145)Instruction limit reached!
% 6.25/1.68 % (2206145)------------------------------
% 6.25/1.68 % (2206145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206145)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206145)Termination reason: Instruction limit
% 6.25/1.68 % (2206145)Termination phase: Saturation
% 6.25/1.68 % (2206145)Time elapsed: 0.190 s
% 6.25/1.68 % (2206145)Peak memory usage: 90 MB
% 6.25/1.68 % (2206145)Instructions burned: 326 (million)
% 6.25/1.68 % (2206153)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2841493874:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.25/1.68 % (2206153)Instruction limit reached!
% 6.25/1.68 % (2206153)------------------------------
% 6.25/1.68 % (2206153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206153)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206153)Termination reason: Instruction limit
% 6.25/1.68 % (2206153)Termination phase: Saturation
% 6.25/1.68 % (2206153)Time elapsed: 0.036 s
% 6.25/1.68 % (2206153)Peak memory usage: 90 MB
% 6.25/1.68 % (2206153)Instructions burned: 114 (million)
% 6.25/1.68 % (2206155)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2173005955:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.25/1.68 % (2206156)lrs+10_1_sil=8000:sp=occurrence:random_seed=2627561541:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 6.25/1.68 % (2206154)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3350584888:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.25/1.68 % (2206155)Refutation not found, incomplete strategy
% 6.25/1.68 % (2206155)------------------------------
% 6.25/1.68 % (2206155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206155)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206155)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.68 % (2206155)Time elapsed: 0.005 s
% 6.25/1.68 % (2206155)Peak memory usage: 88 MB
% 6.25/1.68 % (2206155)Instructions burned: 8 (million)
% 6.25/1.68 % (2206154)Refutation not found, incomplete strategy
% 6.25/1.68 % (2206154)------------------------------
% 6.25/1.68 % (2206154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206154)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206154)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.68 % (2206154)Time elapsed: 0.008 s
% 6.25/1.68 % (2206154)Peak memory usage: 88 MB
% 6.25/1.68 % (2206154)Instructions burned: 15 (million)
% 6.25/1.68 % (2206159)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3432740484:i=437:sd=1:aac=none:ss=included_2994 on theBenchmark for (2994ds/437Mi)
% 6.25/1.68 % (2206150)Instruction limit reached!
% 6.25/1.68 % (2206150)------------------------------
% 6.25/1.68 % (2206150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206150)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206150)Termination reason: Instruction limit
% 6.25/1.68 % (2206150)Termination phase: Saturation
% 6.25/1.68 % (2206150)Time elapsed: 0.167 s
% 6.25/1.68 % (2206150)Peak memory usage: 90 MB
% 6.25/1.68 % (2206150)Instructions burned: 295 (million)
% 6.25/1.68 % (2206161)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=843235922:i=5202:ss=axioms:sgt=16_2993 on theBenchmark for (2993ds/5202Mi)
% 6.25/1.68 % (2206159)First to succeed.
% 6.25/1.68 % (2206159)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2206124"
% 6.25/1.68 % (2206166)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2894654044:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2992 on theBenchmark for (2992ds/134Mi)
% 6.25/1.68 % (2206155)------------------------------
% 6.25/1.68 % (2206155)------------------------------
% 6.25/1.68 % (2206154)------------------------------
% 6.25/1.68 % (2206154)------------------------------
% 6.25/1.68 % Exception at run slice level
% 6.25/1.68 User error: GNN currently only supports monomorphic FOL.
% 6.25/1.68 % (2206166)Instruction limit reached!
% 6.25/1.68 % (2206166)------------------------------
% 6.25/1.68 % (2206166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.25/1.68 % (2206166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.68 % (2206166)CaDiCaL version: 2.1.3
% 6.25/1.68 % (2206166)Termination reason: Instruction limit
% 6.25/1.68 % (2206166)Termination phase: Saturation
% 6.25/1.68 % (2206166)Time elapsed: 0.076 s
% 6.25/1.68 % (2206166)Peak memory usage: 90 MB
% 6.25/1.68 % (2206166)Instructions burned: 135 (million)
% 6.25/1.68 % Exception at run slice level
% 6.25/1.68 User error: GNN currently only supports monomorphic FOL.
% 6.25/1.68 % (2206159)Refutation found. Thanks to Tanya!
% 6.25/1.68 % SZS status Theorem for theBenchmark
% 6.25/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 7.85/1.86 % (2206159)------------------------------
% 7.85/1.86 % (2206159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.85/1.86 % (2206159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.86 % (2206159)CaDiCaL version: 2.1.3
% 7.85/1.86 % (2206159)Termination reason: Refutation
% 7.85/1.86 % (2206159)Time elapsed: 0.089 s
% 7.85/1.86 % (2206159)Peak memory usage: 91 MB
% 7.85/1.86 % (2206159)Instructions burned: 156 (million)
% 7.85/1.86 % (2206159)------------------------------
% 7.85/1.86 % (2206159)------------------------------
% 7.85/1.86 % (2206124)Success in time 1.032 s
% 7.85/1.86 % Vampire exiting
%------------------------------------------------------------------------------